The terms of the expression are 5x², 9x and 6
What are algebraic expressions?Algebraic expressions are described as expressions that are composed of variables, factors, constants, coefficients and terms.
They are also known to be made up of arithmetic operation, such as;
DivisionAdditionParenthesesMultiplicationSubtractionBracket, etcIt is also important to note that terms in algebraic expressions are seen as summands in a sum that may be different only by a actor.
They can be regrouped by the addition of their coefficients. Like terms are those that has the same variables to the same powers or coefficients.
The types are;
5x², 9x and 6
Thus, they are 5x², 9x and 6
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Given f(x) = − x² - 4x – 12, find f(-7)
Answer:
f(-7) = -33
Step-by-step explanation:
f(x) = − x² - 4x – 12
f(-7) = ?
We put -7 in for x and solve
f(-7) = -(-7)^2 -4(-7) - 12
f(-7) = -(49) + 28 - 12
f(-7) = -49 + 28 - 12
f(-7) = -33
How do you write 1 2 as a power of 2?
Answer:
12² = 144
12 to the power of 2 us equal to 144
For each equation determine whether it has no solutions, exactly one solution, or is true
for all values of x (and has infinitely many solutions). If an equation has one solution, solve
to find the value of x that makes the statement true.
a. 6r+8 = 7x + 13
b6r + 8 = 2(3x + 4)
c. 6r+8 = 6r+ 13
For the given equations , the solutions are as follows :
(a) the equation [tex]6x + 8 = 7x + 13[/tex] has exactly one solution , and the solution is .
(b) the equation [tex]6x + 8 = 2(3x + 4)[/tex] has Infinitely Many Solutions .
(c) the equation [tex]6x + 8 = 6x + 13[/tex] has No Solution .
Equation (a) ;
the equation is given as [tex]6x + 8 = 7x + 13[/tex] , we solve the equation further ,
we get ;
[tex]7x - 6x = 13 - 8[/tex] ;
[tex]x = 5[/tex] ;
So , the equation has exactly one solution and the solution is [tex]x = 5[/tex] .
Equation (b) ;
the equation is given as [tex]6x + 8 = 2(3x + 4)[/tex] , we solve equation further ,
we get ;
[tex]6x + 8 = 6x + 8[/tex] ;
On solving further ,
we have ;
[tex]8 = 8[/tex] ;
So , the equation has infinitely many solutions .
Equation (c) ;
the equation is given as [tex]6x + 8 = 6x + 13[/tex] , we solve equation further ,
we get ;
[tex]8 = 13[/tex] ;
and we know that [tex]8\neq 3[/tex] ,
So , the equation have No Solution .
The given question is incomplete , the complete question is
For each equation determine whether it has no solutions, exactly one solution, or is true . for all values of x (and has infinitely many solutions). If an equation has one solution, solve to find the value of x that makes the statement true.
(a) 6x + 8 = 7x + 13
(b) 6x + 8 = 2(3x + 4)
(c) 6x + 8 = 6x + 13
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Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes
1.3584655000
2.85760000
3.146737000
4.5555627000
5.7777000
1) Number of 200 notes = 17,923,275
Number of 100 notes = 35,846,550
Number of 50 notes = 71,693,100
Number of 20 notes = 179,232,750
2) Number of 200 notes = 428,800
Number of 100 notes = 857,600
Number of 50 notes = 1,715,200
Number of 20 notes = 4,288,000
3) Number of 200 notes = 733,685
Number of 100 notes = 1,467,370
Number of 50 notes = 2,934,740
Number of 20 notes = 7,336,850
4) Number of 200 notes = 27,778,135
Number of 100 notes = 55,556,270
Number of 50 notes = 111,112,540
Number of 20 notes = 277,781,350
5) Number of 200 notes = 38,885
Number of 100 notes = 77,770
Number of 50 notes = 155,540
Number of 20 notes = 388,850
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Ghana credits 200,100,50 and 20 notes.
Now,
Since, Ghana credits 200,100,50 and 20 notes.
1) Hence, To credit the amount 3584655000,
Number of 200 notes = 3584655000/200 = 17,923,275
Number of 100 notes =3584655000/100 = 35,846,550
Number of 50 notes =3584655000/50 = 71,693,100
Number of 20 notes = 3584655000/20 = 179,232,750
2) To credit the amount 85760000;
Number of 200 notes = 85760000/200 = 428,800
Number of 100 notes = 85760000/100 = 857,600
Number of 50 notes = 85760000/50 = 1,715,200
Number of 20 notes = 85760000/20 = 4,288,000
3) To credit the amount 146737000;
Number of 200 notes = 733,685
Number of 100 notes = 1,467,370
Number of 50 notes = 2,934,740
Number of 20 notes = 7,336,850
4) To credit the amount 5555627000;
Number of 200 notes = 27,778,135
Number of 100 notes = 55,556,270
Number of 50 notes = 111,112,540
Number of 20 notes = 277,781,350
5) To credit the amount 7777000;
Number of 200 notes = 38,885
Number of 100 notes = 77,770
Number of 50 notes = 155,540
Number of 20 notes = 388,850
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In a single experiment, a die is tossed and a spinner with the letters A, B, and C is spun. Each letter is equally likely.Draw your sample space and then find the probability of getting a 2 or a B.a.The sample space is 9. The probability of getting a B is StartFraction 1 Over 9 EndFraction.b.The sample space is 18. The probability of getting a 2 or a B is StartFraction 18 Over 8 EndFraction
The required probability as calculated from the data given above is found to be as 1 / 9.
Given,
The spinner is having the letters as A, B and C.
The possibility of getting any of these letters when the spinner is rolled is same.
Therefore , the sample space will be as follows ,
6 + 3 = 9
This is due to the fact a die has 6 sides.
Then the probability of getting a B will be , 1/9
Sample space is known as the collection of all values which are used in an experiments. The total number of favorable outcomes are taken from this sample space only.
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Graph the Following parent function
Answer:
see attached
Step-by-step explanation:
You want the graph of g(x) = -f(x-3), given the graph of the parent function f(x) = log₂(x).
TransformationThe replacement of x with x-3 as the function argument causes the graph to be translated 3 units to the right.
The replacement of f(x) with -f(x) causes the graph to be reflected over the x-axis.
The translated, reflected graph is shown in blue in the attachment.
What is the area of right triangle with base 10 cm and height 5 cm?
Answer:25cm
Step-by-step explanation:area of triangle=1/2 × base× height
=1/2×10×5
= 25cm^2
To divide 572 4, Stanley estimated to
place the first digit of the quotient. In which
place is the first digit of the quotient?
Answer:
The hundreds place
Step-by-step explanation:
143, first digit is , 1 is in the hundreds place
A pole that is 3.2 m tall casts a shadow that is 1.32 m long. At the same , a nearby tower casts a shadow that is 46.75 m long. How tall is the tower? Round your answer to the nearest meter.
Answer:
The tower is 113 meters.
Step-by-step explanation:
We are given a pole and a tower that both create a shadow.
Hence, the figures made are triangles.
If you draw the figure (attached to this response), you can see the two triangles are similar triangles.
⭐What are similar triangles?
two triangles whose corresponding side lengths are proportional and have the same shapeStrategycreate a proportion of the ratios of the corresponding side lengthssolve for the length of the towerCreate a ratio for the corresponding side lengthsThe length of the height of the pole (3.2) corresponds to the length of the height of the tower (x).
The length of the shadow of the pole (1.32) corresponds to the length of the shadow of the tower (46.75).
Therefore, our two ratios are:
[tex]\frac{3.2}{x}[/tex] and [tex]\frac{1.32}{46.75}[/tex]
Create a proportion for the corresponding side lengthsA proportion is when you set two ratios equal to each other:
[tex]\frac{3.2}{x} = \frac{1.32}{46.75}[/tex]
Solve for the length of the tower (x)To solve for x, cross multiply by multiplying the opposite parts of the fraction together.
[tex]\frac{3.2}{x} = \frac{1.32}{46.75}\\46.75(3.2) = 1.32x\\149.6 = 1.32x\\\\113 = x[/tex]
∴ The tower is 113 meters tall!
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PLEASE HELPP
mia has 3 bags the number of toys in each bag is 6, 8 and x what is the number of toys in the third bag if the average number of toys in the three bags is 6?
a. 3
b.6
c.4
d.8
Answer:
b
Step-by-step explanation:
i think b because it makes more sense than a or c
A lacrosse team is raising money by selling cheesecakes. The players plan to sell an entire cheesecake for 24. 00 each and slices of cheesecake for 3. 50 each. If they want to raise at least 700 how many of each could they sell
the total of 29 cheesecake and 2 slices of cheesecake will be making $703.
What is the arithmetic operation?
The four basic arithmetic operations are addition, subtraction, multiplication, and division of two or more quantities. They all fall under the umbrella of mathematics, and among them is the study of numbers, particularly the order of operations, which is crucial for all other branches of the subject, such as algebra, data organisation, and geometry. To solve the problem, you must be familiar with the fundamentals of mathematical operations.
A lacrosse team is raising money by selling cheesecakes.
The players plan to sell an entire cheesecake for 24. 00 each and slices of cheesecake for 3. 50 each.
A multiplier of 24 close to 700 is 29
So 29 cheesecake will cost 696.
Now they need more 4 dollars to raise so they have to sell 2 slices, which will be 7$.
So the total of 29 cheesecakes and 2 slices of cheesecake will be making $703.
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Can I add myself on Wikipedia?
One cannot add themselves directly to Wikipedia as this can cause harm to the platform and community in a later run. As one can start adding content and details on the page based on their personal opinions.
Therefore we can say that the answer is that we cannot edit or create our own Wikipedia page, because that would be a conflict of interest ,more on this later.
But the thing which one can do is to add themselves in the line ,to list themselves on Wikipedia’s repository of articles which are out there looking for creators who can help maintain the site.
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we the following mixed operations word problems
During a normal day, there are 782 passengers in average that
are late for their plane each day. However, during the
Christmas holidays, there are 1,835 passengers that are late for
their planes each day which caused delays of 14 planes. How
many more passengers are late for their planes in each day
during the Christmas holidays?
An average of 782 travelers miss their flight each day during a typical day. In contrast, 1,835 passengers are late for their flights every day over the Christmas holiday, which results in 14 planes being delayed.
1,053 travelers (2,835-782 = 1,053)
During the Christmas holidays, there are 1,053 extra passengers who are late for their flights.
How do you figure out the average number of days late?In order to compute WADO, we multiply the total amount of each overdue invoice by the number of days past due, then divide that total by the number of days past due. You may figure out your average daily sales by dividing your total sales over a certain period of time by the number of days in that same period.
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margin of error of 1 percentage and use a confidence level of 90%.
The sample size needed for a margin of error of 1%, for a confidence level of 90%, is of:
6,766.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the variables used to calculated these bounds are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error of the interval is defined as follows:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.90}{2} = 0.95[/tex], so the critical value is z = 1.645.
We have no prior estimate, hence the proportion is given as follows:
[tex]\pi = 0.5[/tex]
For a margin of error of M = 0.01, the needed sample size n is obtained as follows:
[tex]0.01 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645 \times 0.5[/tex]
[tex]\sqrt{n} = \frac{1.645 \times 0.5}{0.01}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645 \times 0.5}{0.01}\right)^2[/tex]
n = 6,766.
(rounding up, as for a sample size of 6,765 the margin of error would be slightly above 0.01).
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An octagonal prism (shown) has __________ faces and ___________ vertices. Question 20 options: A) 16, 10 B) 10, 16 C) 8, 10 D) 6, 8
With 10 faces and 16 vertices, an octagonal prism is depicted.Two octagonal bases and eight rectangular sides define an octagonal prism, which has two of each shape.
Do octagonal prisms have eight vertices?An octagonal prism therefore has 10 faces, 24 vertices, and 16 vertices.Two octagonal bases and eight rectangular sides define an octagonal prism, which has two of each shape. 16 vertices, 10 faces, and 24 edges make up its surface.Eight of the nine vertices of an octagonal pyramid are found where the triangle faces of the base meet, while the ninth vertex is found where the triangular faces of the pyramid's top meet.There are 8 faces on an octahedron, which is a polyhedron. The octahedron shape of a hexagonal prism is defined by its 8 faces, which include its 2 bases and 6 sides.With 10 faces and 16 vertices, an octagonal prism is depicted. Two octagonal bases and eight rectangular sides define an octagonal prism, which has two of each shape.To learn more about octagonal prism refer to:
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2. Write a factored form function, f(x) for a cubic function that has zeros (- 7, 0) and (3, 0)
The cubic equation in factor form f(x) = (x + 7) · (x - 3) · (x - r) contains zeros (- 7 , 0) and (3, 0), for r = 0: f(x) = (x + 7) · (x - 3) · (x - r).
How to derive a cubic equation in factor form
Cubic functions are polynomials with grade 3 and whose standard form is described by the following form:
y = a · x³ + b · x² + c · x + d
Where a, b, c, d are real coefficients. The factor form of a cubic function is described by the following definition:
y = a · (x - r₁) · (x - r₂) · (x - r₃)
Where:
a - Lead coefficient.r₁, r₂, r₃ - Real zeros.Replace all known variables in factor form of cubic equation: (a = 1, r₁ = - 7, r₂ = 3, r₃ = r)
f(x) = (x + 7) · (x - 3) · (x - r)
Variable r means that there is more than one answer concerning the expression, if we assume that r = 0, then the particular solution is f(x) = (x + 7) · (x - 3) · x.
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At a certain university, the average attendance at basketball games has been 2,925. This year the attendance for the first 15 games has been 2,515 with a standard deviation of 585. The athletic director claims that the attendance is the same as last year. If what are the critical values for this two-tailed t test
The absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.
population mean assumed to be 2925
sample mean = 2515
standard deviation of sample = 585.
sample size = 15
t-score is indicated because the standard deviation is taken from the sample rather than from the population.
t-score = (x - m) / s
x is the raw score
m is the raw mean of the population
s = standard deviation of sample/sqrt (sample size) = 585/sqrt(15) = 151.6217 rounded to 4 decimal places.
degrees of freedom = 15 minus 1 = 14.
t-score = (2515 - 2925)/151.6217 = -2.7123 rounded to 4 decimal places.
you need to know the confidence level.
at a 95% confidence level, the two-tailed critical t-score with 14 degrees of freedom = plus or minus 1.7613 rounded to 4 decimal places.
since the absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.
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What is an angle with 3 acute angles?
Three straight sides and three angles make up the shape of a triangle. The angles of a triangle can either be acute, right, or obtuse. An angle with three acute angles is a triangle where all three angles measure less than 90 degrees.
A triangle is a three-sided shape with three angles. The sum of the internal angles of a triangle is always 180 degrees. An angle is the amount of turn or change in direction between two lines. There are three types of angles, acute, right and obtuse. An acute angle is an angle which measures less than 90 degrees. A right angle is an angle which measures exactly 90 degrees, and an obtuse angle is an angle which measures more than 90 degrees. Therefore, an angle with three acute angles is a triangle where all three angles measure less than 90 degrees. A triangle with three acute angles is also known as an acute triangle. All three angles must add up to 180 degrees, so the measure of each angle must be less than 60 degrees.
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Lemon quah ha 2 part of concentrate to 5 part of water, if you put 90ml of concentrate in a gla, how much water hould be added?
Based on the 2:5 quantity of concentrate and water, the amount of water required for 90 mililitres will be 225 mililitres of water.
Firstly we will be creating the ratio for the mentioned information. It will be as follows-
Amount of concentrate/Amount of water
The proportion will be -
2/5 = 90/Concentration of water
Concentration of water = 90×5/2
Now perform multiplication in numerator on Right Hand Side of the equation
Concentration of water = 450/2
Then work out the division on Right Hand Side of the equation
Concentration of water = 225 mililitres
Thus, the required amount of water is 225 mililitres.
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How do you know which inequality represents a graph?
In order to determine which inequality represents a graph, you need to look at the inequality and identify if the equation is an open or closed interval. If it is an open interval, it will be represented by a dashed line on the graph. If it is a closed interval, it will be represented by a solid line on the graph.
1. Look at the inequality and identify if the equation is an open or closed interval.
2. If it is an open interval, it will be represented by a dashed line on the graph.
3. If it is a closed interval, it will be represented by a solid line on the graph.
4. Determine the starting and ending points of the inequality, and plot them on the graph.
5. Draw the line that connects the two points, either dashed or solid, depending on whether the interval is open or closed.
6. Shade the area of the graph that is represented by the inequality.
7. Label the graph with the inequality, the points, and the shading.
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what is 25% more than60
Answer:
1/4 of 60= 15
15+60=75
75 is 125% of 60
Step-by-step explanation:
Find value of c
[tex]48c+ 6 = 408 \div 4[/tex]
Answer:
2
Step-by-step explanation:
408 / 4 = 102
48c + 6 = 102
48c = 102 - 6
48c = 96
c = 96/48
c = 2
Hence, the value of c is 2.
Answer:
[tex] \sf \: c = 2[/tex]
Step-by-step explanation:
Given equation,
→ 48c + 6 = 408 ÷ 4
Now the value of c will be,
→ 48c + 6 = 408 ÷ 4
→ 48c + 6 = 102
→ 48c = 102 - 6
→ c = 96 ÷ 48
→ [ c = 2 ]
Hence, the value of c is 2.
I need help pls answer ASAP
The value of x in the triangle WXY is 19 degrees
What is an equation?An equation shows how two or more numbers and variables are related to each other.
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle XYZ and the line YZ such that lie YZ and XW are parallel lines
Using the above as a guide, we have the following:
∠ZYW = ∠XWY (alternate angles are equal)
∠XWY = 2x (Given)
So, we have
∠XWY + ∠XYW + ∠YXW = 180° (the sum of angles in a triangle)
Substitute the known values in the above equation, so, we have the following representation
2x + (3x - 5) + 90 = 180
Open the brackets and solve
5x - 5 = 90
Evaluate the like terms
5x = 95
Divide both sides by 5
x = 19°
Hence, the value of x is 19°
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30% of n = 84
please help I'll put as brainlisest
Write 30% as 30100Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
30100 of 84 = 30100 × 84Therefore, the answer is 25.2
If you are using a calculator, simply enter 30÷100×84 which will give you 25.2 as the answer.
How many dimes are in 4.72
Answer:
There are 47 dimes and 2 pennies.
Step-by-step explanation:
10¢ = 1 dime
$4.70 = 470 ¢
470 dimes = 47 dimes
and 2 pennies
A linear function is shown on the graph.
A linear function beginning with open circle at negative 3 comma negative 5 and ending with an open circle at 3 comma 7.
What is the domain of the function?
{y | −5 ≤ y ≤ 7}
{y | −5 < y < 7}
{x | −3 ≤ x ≤ 3}
{x | −3 < x < 3}
Answer: D
Step-by-step explanation:
In this problem, we are asked to find the domain of the function. Domain is finding the interval of the function of the x value.
Since we are finding domain, we can eliminate A and B because those are looking at y interval, or range.
This leaves us with C and D. They are almost the same except for the ≤ in C and < in D. The difference between ≤ and < is the fact that ≤ includes and touches the point, and < doesn't.
The function has open circles at x=-3 and x=3. That means they don't touch and include x=-3 and x=3. The function only get's really close to those points, but not include them. This tells us that D is the answer.
The domain of the function is {x | −3 < x < 3}. Thus, Option D holds the truth.
The domain of a function refers to the interval of the x values of the function.
In this case, we are asked to find the domain of a linear function that is shown on a graph. The graph starts at an open circle at negative 3, negative 5 and ends at an open circle at 3, 7.
To find the domain, we need to look at the x interval of the function. Options A and B refer to the y interval or range and can be eliminated.
The remaining options, C and D, are similar, except for the fact that C includes and touches the point with "≤", while D doesn't with "<". The open circles at x=-3 and x=3 indicate that the function only gets close to these points, but does not include or touch them.
Thus, the correct answer is option D, {x | −3 < x < 3}.
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Use synthetic division to find all the real zeros of the polynomial.
f(x) = x³ + x² - 8x - 6
so hmmm we look at hmm x³ + x² - 8x - 6 so how do squeak out a factor out of it, well, using the rational root test and using our p/q checking for factors, we find that likely factors can be ± 6/1 and ±(3, 2, 1) / 1, anyhow so we check some of those and hopefully without boring you to death we find that -3 works, we can always use the remainder theorem to check if that's true, by simply plugin in f(-3) and if it's indeed a factor, that'd give us 0, well, f(-3) = -27 + 9 +24 +6 = 0, holly smokes!! is a factor.
well, all that jazz means that -3 is a factor, namely the factor is really x = -3 or x + 3 = 0 so the factor is (x+3) and for our synthetic division we'll use the -3 version, Check the picture below.
so we end up with the factors of (x+3)(x²-2x-2), now for the 2nd factor what we can do to break it up is use the quadratic formula
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-2}x\stackrel{\stackrel{c}{\downarrow }}{-2} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]
[tex]x= \cfrac{ - (-2) \pm \sqrt { (-2)^2 -4(1)(-2)}}{2(1)} \implies x = \cfrac{ 2 \pm \sqrt { 4 +8}}{ 2 } \\\\\\ x= \cfrac{ 2 \pm \sqrt { 12 }}{ 2 }\implies x=\cfrac{2\pm\sqrt{2^2\cdot 3}}{2}\implies x=\cfrac{2\pm 2\sqrt{3}}{2}\implies x=1\pm\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} (x+3)(x-1+\sqrt{3})(x-1-\sqrt{3}) \end{array}}~\hfill[/tex]
now, just to clarify, all those are real roots, and the last two come from simply setting x = 1 ± √3 to 0 to get the factors.
The backyard of a new home is shaped like a trapezoid with a height of 46 ft and bases of 78 ft and 111 ft. What is the cost of putting sod on the yard, if the landscaper charges $0.21 per square foot for sod?
The sod will cost $
Answer:
$899.54
Step-by-step explanation:
To find the cost of sod for a trapezoid shaped yard, we need to first find the area of the trapezoid. The formula for the area of a trapezoid is:
Area = (1/2) * h * (b1 + b2)
where h is the height of the trapezoid and b1 and b2 are the lengths of the bases.
Substituting the given values, we get:
Area = (1/2) * 46 ft * (78 ft + 111 ft)
= (1/2) * 46 ft * 189 ft
= 4274 ft^2
To find the cost of sod for this area, we need to multiply the area by the cost per square foot of sod. The cost will be:
Cost = 4274 ft^2 * $0.21/ft^2
= $899.54
So the cost of sod for this yard will be $899.54.
Solve the system of equation using the elimination multiplication method 3c+6d=18
6c-2d=22
show your work
So the solution to the system of equations is:
c = 4, d = 1
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.
Define quadratic equation.x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given equation I is [tex]3c+6d=18[/tex] and equation II is [tex]6c-2d=22[/tex]
We can start by multiplying the first equation by -2 and adding it to the second equation. This will eliminate the d variable:
[tex]-6c - 12d = -36[/tex]
[tex]6c - 2d = 22[/tex]
[tex]0c - 14d = -14[/tex]
solving this we know value of [tex]d=1[/tex]
So we know that d = 1, and we can substitute that into the first equation to find the value of c:
[tex]3c + 6d = 18[/tex]
[tex]3c + 6(1) = 18[/tex]
[tex]3c = 12[/tex]
[tex]c = 4[/tex]
So the solution to the system of equations is:
[tex]c = 4, d = 1[/tex]
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What number multiple by 7/9 has the product of 1?
Answer: In mathematics, the reciprocal of a number is 1 divided by that number. So the reciprocal of 7/9 is 1/(7/9) which can be simplified to 9/7.
Therefore, 9/7 is the number that when multiplied by 7/9 will result in the product of 1.
Another way of arriving at the same solution is to remember that the product of a number and its reciprocal is always 1. In this case, the number is 7/9, and its reciprocal is 9/7.
Step-by-step explanation: