The solution to the equation is (3/5, 12/5)
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
y = 4x
y = -x + 3
substitute the known values in the above equation, so, we have the following representation
4x = -x + 3
Evaluate the like terms
5x = 3
So, we have
x = 3/5
This gives
y = 4 * 3/5
Evaluate
y = 12/5
Hence, the solution is (3/5, 12/5)
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Solve the following system of equations graphically on the set of axes below.
y= x-6
y=−3x−2
Answer:
y = 3x - 6
y = -x+2
Step-by-step explanation:
The parent function is represented by f(x)
linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x) is x .
What is a parent function used for?The simplest function in a family of functions that yet retains the definition (or form) of the entire family is known as a parent function in mathematics.
The most basic form of an equation in a family of functions is a parent function. There are several types of parent functions, including: linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x)=x f (x) = x.
y(x) = x is the linear parent function to keep in mind. This is the function's simplest, most fundamental version.
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What are the steps i need to do to get the answer please don't give me the answer i want to learn please be as descriptive as possible so i can look up terms if i don't understand
Answer:
I disagree
Step-by-step explanation:
[tex] \frac{ {2a}^{2} {b}^{2} \times ( - 3 {a}^{2} {b}^{2}) }{6ab \times {9a}^{2} {b}^{2} } \\ \frac{ {2a}^{2} {b}^{2} \times {9a}^{4} {b}^{4} }{6ab \times 9 {a}^{2} {b}^{2} } \\ \frac{18 {a}^{2 + 4} {b}^{2 + 4} }{54 {a}^{2 + 1} {b}^{2 + 1} } \\ \frac{18 {a}^{6} {b}^{6} }{54 {a}^{3} {b}^{3} } \\ \frac{1}{3} {a}^{6 - 3} {b}^{6 - 3} \\ \frac{1}{3} {a}^{3} {b}^{3} [/tex]
Hope this helps
Complete the table.
1.
2.
3.
Deductible
Amount
$500
250
700
Number
of Co-
Payments
at $10
Each
20
35
26
Amount
of Co-
Payments
Amount
Subject
to Co-
Insurance
$20,000
25,500
84,000
Insured
Co-
Insurance
Rate
20%
30%
25%
Amount
of Co-
Insurance
Total Paid
by Insured
Deductible: This is the amount that the insured is responsible for paying before insurance coverage begins. The higher the deductible, the lower the monthly premium will be.
How to calculate insurance coverage?Amount: This is the total amount that the insurance company will cover.
Number of Co-Payments: This is the number of times the insured will be responsible for paying a specific dollar amount (in this case, $10) for covered services.
Amount of Co-Payments: This is the total dollar amount that the insured will be responsible for paying in co-payments.
Amount Subject to Co-Insurance: This is the total dollar amount that the insured is responsible for paying after the deductible and co-payments have been met.
Insured Co-Insurance Rate: This is the percentage of the remaining amount that the insured is responsible for paying.
Amount of Co-Insurance: This is the dollar amount that the insured is responsible for paying according to their co-insurance rate.
Total Paid by Insured: This is the total dollar amount that the insured is responsible for paying, including the deductible, co-payments, and co-insurance.
For example, for the first row, the insured would be responsible for paying $500 for the deductible, $200 for co-payments (20 payments of $10 each), and $4,000 for co-insurance (20% of $20,000). The total paid by the insured would be $500 + $200 + $4,000 = $4,700
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Solve the polynomial equation by factoring.
18x³ - 15x² - 9x = 0
What is 5 17/18 - 2 /23
Answer:
the answer is 54 to the question 5 17 18 -2 23
Name
Solve&Share-
Yesterday, the cooking club made a pan
of lasagna. They left half of the lasagna for four members
of the photography club to share equally. What fraction
of the pan of lasagna did each photography club
member get? Solve this problem any way you choose.
Each member of the photography club got [tex]\frac{1}{8}[/tex] of the lasagna from the pan of lasagna.
What are fractions?The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.
Given that the club was provided with half pan of lasagna. So the initial amount of lasagna is [tex]\frac{1}{2}[/tex].
The [tex]\frac{1}{2}[/tex] lasagna is further shared within 4 members. Hence each member will get:
[tex]\frac{\frac{1}{2} }{4} = \frac{1}{8}[/tex] lasagnas.
Hence, each member of the photography club got [tex]\frac{1}{8}[/tex] of the lasagna from the pan of lasagna.
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Please help!!!!! i need this by 7!!!
a rectangular lawn measuring 8 m by 4 m is surrounded by a flower bed of uniform with. the combined of the lawn and the flower bed is 140 M what is the width of the flower bed
The width of the flower bed is 3m.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Rectangular lawn = 8m x 4m
The flower bed dimensions are:
Length = (8m + x)
Width = x
The combined area of lawn and flower bed area = 140 m²
(8 + 2x) x (4 + 2x) = 140
32 + 16x + 8x + 4x² = 140
4x² + 24x + 32 - 140 = 0
4x² + 24x - 108 = 0
4 (x² + 6x - 27) = 0
x² + 6x - 27 = 0
x² + (9 - 3) - 27 = 0
x² + 9x - 3x - 27 = 0
x(x + 9) - 3(x + 9) = 0
(x + 9) (x - 3) = 0
x + 9 = 0
x = -9 (rejected)
x - 3 = 0
x = 3
Thus,
The width of the flower is 3m.
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PLEASE HELP !! ( question attached )
Part (a)
[tex](CG)(CE)=(CH)(CD)[/tex]
Part (b)
It is possible to find the length of [tex]\overline{DH}[/tex].
[tex](CG)(CG+GE)=(CH)(CH+DH) \\ \\ (3)(3+5)=(2)(2+DH) \\ \\ 24=2(2+DH) \\ \\ 12=2+DH \\ \\ DH=\boxed{10}[/tex]
A 150-yard pipe is cut to provide drainage for two fields. If the length of one piece (a) is three yards less than twice the length of the second piece (b), what are the lengths of the two pieces?
Answer:
a = 99
b = 51
Step-by-step explanation:
We can translate this problem into a linear equation. We know that:
2b - 3 = a
and
a + b = 150
We will start by minusing b from both sides in the second equation, giving us:
a = 150 - b
Then, we will substitute this into our second equation, giving us:
2b - 3 = 150 - b
We will add 3 and b to both sides, giving us:
3b = 153
Then we divide by 3:
b = 51
Now, we will substitute this into our second equation, giving us:
a + 51 = 150
Subtract 51 from both sides gives us:
a = 99
So, the a piece is 99 yards long, and the b piece is 51 yards long.
a = 99
b = 51
Hope this helped!
Rewrite the following equation in slope-intercept form
10x - 12y = 1
Answer:
y = 5/6x - 1/12
Step-by-step explanation:
The slope-intercept form is y = mx + b
10x - 12y = 1
We subtracted 10x from both sides
-12y = -10x + 1
Divided by -12 both sides
y = -10/-12x - 1/12
To simplify we can get
y = 5/6x - 1/12
Find the value of tan T rounded to the nearest hundredth, if...
The measure of the tan of the angle T is 3.4286
How to determine the measure of the tan of the angle TFrom the question, we have the following parameters that can be used in our computation:
Opposite = RS
Hypotenuse = 50
Adjacent = 14
The opposite of the angle T can be calculated as
Hypotenuse² = Opposite² + Adjacent²
Substitute the known values in the above equation, so, we have the following representation
50² = RS² + 14²
Evaluate the like terms
RS² = 2304
Take the square root of both sides
RS² = 48
The measure of the tan of the angle T is then calculated as
tan(T) = RS/Adjacent
Substitute the known values in the above equation, so, we have the following representation
tan(T) = 48/14
Evaluate
tan(T) = 3.4286
Hence, the value is 3.4286
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How do I solve 604 times 33
Answer: To solve 604 times 33, you can use the basic method of multiplication.
You can start by multiplying the ones digit of 604 (4) by the ones digit of 33 (3) to get 12.
Then, you can multiply the tens digit of 604 (0) by the ones digit of 33 (3) to get 0.
Finally, you can multiply the hundreds digit of 604 (6) by the ones digit of 33 (3) to get 18.
To get the final answer, you need to add these three intermediate values (0+12+18) and carry over if necessary:
604 * 33 = 20,012
You can also use long multiplication method, which is breaking down the multiplication problem into simpler problems.
Or use a calculator or computer.
Step-by-step explanation:
Answer: 12207032501220703250122070325012207032501220703250122070325012207032501220703250
Step-by-step explanation:
1220703250122070325012207032501220703250
Use a truth table to determine whether the given statement is a tautology.
Yes, the statement is a tautology
How to use a truth table to determine whether a statement is a tautology?
Tautology is a compound proposition that is always true for all possible truth values of its variable. A tautology has only T in the last column of its truth table.
Truth table for p v ~p
p ..... ~p ..... p v ~p
T F T
T F T
F T T
F T T
Since the last column of the truth contains only T, the statement is a tautology
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Ivan used coordinate geometry to prove that quadrilateral EFGH is a square. Which of the following completes statement 4 of the proof?
A. EF, FG, GH, and EH are congruent
B. EF || GH
C. EH || FG
D. FG and EH are perpendicular to GH
The statement that complete the proof that quadrilateral EFGH is a square is; A) Line EF, FG, GH, and EH are congruent
How to complete the square congruency proof?The four sides of a square are always congruent to each other which means that they are equal to each other.
Now, we see that;
EF = 3√2
GH = 3√2
FH =3√2
EH = 3√2
Thus, all four sides are equal.
We also see that the slopes that form 90 degrees with each other are perpendicular and as such that is also a requirement for the quadrilateral to be a square.
Thus, we can conclude that all four sides are congruent to each other from the evidence above.
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Answer:
Statement 4 of the proof should be:
segment EH is parallel to segment FG
Step-by-step explanation:
They have the same slope which is -1.
8) On the given number line, the expression (MPUNQ) (PROQT)
simplifies to
A integer, a constant, or a mix of both, combined with specific operation symbols, make up an expression $3r+$37.5 is the equation.
Describe expression.A number, a constant, or a mix of both, combined with specific operation symbols, make up an expression. An expression can only be an exponential function if it contains both an operators and a variable. Any unknown term can be used as a factor, together with the operator + and -. Examples of such terms include x, y, and z. Since 5 isn't an exponential function, it can be claimed that it.
Here,
given:
It is reasonable to assume that r = n rides. Since each ride costs $3 ($3xr), the total cost is $3.
In addition, we know that FIVE people, including Tory and every one of her friends, will be at the fair. The entrance fee is $7.50, therefore we can increase it by five to reach $37.5.
That is $3r plus $37.5.
Therefore, the equation is $37.5 + $3r, where r seems to be the total of rides taken by Tory and his friends.
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suppose that the function g is defined on the interval (-2, 2] as follows.
The numeric values for the piece-wise function in this problem are given as follows:
g(-1) = -1.g(-0.25) = 0.g(2) = 2.What is a piece-wise function?A piece-wise function is a function that has different definitions, depending on the intervals of the input x of the function.
From the image given at the end of the answer, the function has four definitions, depending on the range of x, hence for each numeric value, we have to first identify the range of x for which the input belongs, and then apply the rule.
Hence the numeric values are given as follows:
g(-1) = -1, as x = -1 belongs to the range -2 < x ≤ -1.g(-0.25) = 0, as x = -0.25 belongs to the range -1 < x ≤ 0.g(2) = 2, as x = 2 belongs to the range 1 < x ≤ 2.Missing InformationThe problem is given by the image presented at the end of the answer.
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if the notch is your basic salary multiplied by twelve, calculate sello's notch.(A)
When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.
what is variation ?directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b if m is a Variation Theory is a general theory of learning that is mostly utilized in the pedagogy and teaching of mathematics. By emphasizing what remains the same and what changes, it draws attention to a concept's key components and provides the chance to draw connections that are significant.
given
basic salary = 20000
sello notch = basic salary * 12
20000 * 12 = $ 240000
When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.
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rearrange the formula KE = 1/2mv^2 for m
Answer:
m = 2 K.E / v^2
Step-by-step explanation:
K.E = 1/2 mv^2
K.E × 2/1 = mv^2
2 K.E = mv^2
2 K.E × 1/ v^2 = m
∴ m = 2 K.E / v^2
[tex]m=\frac{2KE}{v^{2}}[/tex].
Step-by-step explanation:Just for general knowledge. This is a formula from physics, specifically, classical mechanics. It is used to calculate the kinetic energy of bodies, that what the varaible "KE" stands for.
Now, let's rearrange the formula!
1. Write the expression.[tex]KE=\frac{1}{2} mv^{2}[/tex]
2. Multiply both sides of the equation by "2".[tex]2KE=\frac{1}{2} mv^{2}*2\\ \\2KE=mv^{2}[/tex]
See that the 2 is used to cancel the 1/2 fraction.
3.Divide both sides of the equation by "v²" and switch sides.[tex]\frac{2KE}{v^{2}} =\frac{mv^{2}}{v^{2} } \\ \\\frac{2KE}{v^{2}} =m\\ \\m=\frac{2KE}{v^{2}}[/tex]
4. Final answer.[tex]m=\frac{2KE}{v^{2}}[/tex].
5. Want to verify your answer? Here's how to easily do it.If the result is correct, then the equation should return the same value of both sides of the equal symbol (=) when we substitute the variable "m" by it's calculated value, [tex]\frac{2KE}{v^{2}}[/tex].
[tex]KE=\frac{1}{2} (\frac{2KE}{v^{2}})v^{2}[/tex]
Here, the 1/2 fraction is cancelled by the 2 inside the parenthesis. Also, the v² is cancelled out by the v² that's dividing inside the parenthesis, leaving us with this expression (check attached image to better understand this step):
[tex]KE=KE[/tex]
As you can tell, the same variable appears on both sides of the equal symbol, this means that the result is correct!
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Please help me I’m confused and stuck on this
It is a scale factor of 2.
You could see that the JKL triangle has only 4 grids on one side and J'K'L' has 8. So 8/4=2, so, therefore, it is a scale factor of 2. Please correct me if I am wrong.
In an experiment with a bag of marbles, P(green) = three fourths. Interpret the likelihood of choosing a green marble.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
The interpretation of the likelihood of choosing a green marble is; Likely
How to interpret experimental probability?Theoretical probability is defined as the term that is used to describe what is expected to happen based on math theory. Meanwhile, experimental probability that is used to describe what actually happens when the actual situation is tried out as an experiment.
Now, we are told that the probability of selecting a green marble in a bag of marbles is 3/4. This expressed in percentage is 75%.
This experimental probability is more than half of the entire probability and as such we can say that it is very much likely to occur when we select a marble.
We conclude that the correct answer is Option A.
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7 in
25 in
24 in
Cómo puedo encontrar el
Are del triángulo
Therefore ,the solution of the given problem of triangle comes out to be
area is 84 inch square.
Describe the triangle.Since a triangle has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker assigned to a triangle that has edges A, B, and C. So when three components are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and triple corners. The points where the three parts meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.
Here,
Given : 7 inch , 25 inch and 24 inch.
To find the area of the triangle :
vertices are 7inch , 25inch and 24inch
Since from given vertices we can see it is an right angle triangle:
thus,
=> Area = 1/2 * base * height
=> Area = 1/2 * 24 * 7
=> Area = 12*7
=> Area = 84 inch square
Therefore ,the solution of the given problem of triangle comes out to be
area is 84 inch square.
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What do you add to 21/4 to make 6
Answer:
[tex]x=\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]x+\frac{21}{4}=6\\4x+21=24\\4x=3\\x=\frac{3}{4}[/tex]
A chess board is made using the ratio of square length to king's height, 2.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square?
0.75 inch
1.25 inches
2.25 inches
4.75 inches
a. Is it possible for a line (y = mx + b) that passes through the origin to pass through
no other rational points? If you believe so, give an example.
b. Is it possible for a line to pass through no rational points? If you believe so, give an
example.
a. Yes, it is possible for a line (y = mx + b) that passes through the origin (0, 0) to pass through no other rational points. An example of such a line is y = sqrt(2)x. This line passes through the origin (0,0), but the y-coordinate will only be a rational number if the x-coordinate is also a rational number and a perfect square.
b. Yes, it is possible for a line to pass through no rational points. An example of such a line is y = sqrt(2)x + sqrt(3). This line will never pass through any rational points because the y-coordinate will only be a rational number if both x and b are rational numbers and perfect squares, which is not possible in this case.
Sketch a polygon that will map to itself after a rotation of 60°.
A polygon will map to itself after a rotation of a 60° would be a regular hexagon.
What is a polygon?
A polygon is a closed, two-dimensional geometric shape that is defined by a set of straight lines, called its sides, that are connected end-to-end. The number of sides in a polygon is referred to as its "order" or "degree"
A polygon that maps to itself after a rotation of 60 degrees is called a regular hexagon. A regular hexagon is a polygon with six sides of equal length and six angles of equal measure (120 degrees each).
To sketch a regular hexagon, you can start by drawing a dot in the middle of a piece of paper. From there, use a compass or a straightedge to draw a circle around the dot. Then, use the compass to draw six lines from the center of the circle to the edge of the circle, each line being 60 degrees apart from the other. Finally, connect the endpoints of each line to form a six-sided polygon.
Hence, a polygon will map to itself after a rotation of a 60° would be a regular hexagon.
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saif rents a villa for him and his friend how much does 1 night cost
Answer:
2 times the cost
Step-by-step explanation:
1 persona 1 costs
2 persons, double the cost
Find the area if the figure please help
Answer:
[tex]A = 125 \textrm{ yd}^2[/tex]
Step-by-step explanation:
The area of a triangle can be solved for using the formula:
[tex]A_\triangle = \dfrac{1}{2}b h[/tex]
where [tex]b[/tex] is the length of the triangle's base and [tex]h[/tex] is the length of its height (altitude).
Both [tex]b[/tex] and [tex]h[/tex] are given to us for the shown triangle, so all we have to do is plug the given values into the triangle area formula above.
[tex]A = \dfrac{1}{2} \cdot 10 \cdot 25[/tex]
[tex]A = 5 \cdot 25[/tex]
[tex]A = 125 \textrm{ yd}^2[/tex]
Note that the height of the triangle is given on the outline of an auxiliary (dotted) right triangle. This is just to show that the height is in fact an altitude, meaning it is perpendicular to the base, not at the angle of the triangle's other sides.
Together, saturn, jupiter, and mars have a total of 36 known satellites (moons). Jupiter has 2 fewer satellites than saturn, mars has 16 fewer satellites than saturn. How many known satellites does saturn have?
Answer:
18 sattelites
Step-by-step explanation:
Let's make an equation
n is number of sattelites on Saturn
n-2 is number of sattelites on Jupiter
n-16 is number of sattelites on Mars
Equation would be like:
n+(n-2)+(n-16)=36
3n-18=36
3n=54
n=18
help pleaseeeeeeeeeeee
Answer: Roger should pick Printer B because it prints 2 more pages per minute.
Step-by-step explanation: We are given that printer A prints 33 pages per minute. We have to figure out how many pages printer B prints in a minute.
As shown in the table, in 2 minutes, printer B prints 70 pages, and in 3 minutes it prints 105 pages. We can create a function to model the rate at which printer A prints pages. This is a linear function since for each increase in x, there is a proportional increase in y. This means that if we were to back one minute the printer would print 35 pages since the common difference per minute is 35 pages. The function would therefore be p=35m where m=minutes and p=pages. This means that printer B produces 2 more pages than printer A per minute since 33+2=35.