6y2 + 3y - 1 4 for y = 1
The value of the given polynomial equation would be: [tex]6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]
Why use the vertex form?In contrast to the vertex form of a quadratic equation, which is y = a (x h) 2 + k, the normal quadratic form is written as an x 2 + b x + c = y. The constant that indicates whether the parabola is facing up (+ a) or down ( a) is called a. It is represented in both forms by the letters y, x, and a.
In the equation we are given the value of y as: 1
[tex]6y2 + 3y - 1 4 \\\\6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]
Therefore, we can say that the value of the given polynomial is: 8
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Complete question is: Find 6y2 + 3y - 1 4 for y = 1
What is the range of the function with the graph given below ?
The graph in the question is a parabola that opens downwards.
What is function?A function is a block of organized, reusable code that is used to perform a single, related action. Functions provide better modularity for your application and a high degree of code reusing. As you already know, Python gives you many built-in functions like print(), etc. but you can also create your own functions. These functions are called user-defined functions.
This means that the range of the function is all real numbers less than or equal to the y-intercept of the parabola, which is 0 in this case. Therefore, the range of the function is all real numbers less than or equal to 0.
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Show that 100 divided by 20 is 5, using at least five daily life examples.
The 5 life examples are:
You have 100 pieces of candy and you want to divide them equally among 20 people. Each person would get 100/20 = 5 pieces of candy.A pizza is cut into 100 slices, and you want to divide it evenly among 20 people. Each person would get 100/20 = 5 slices of pizza.You have 100 dollars and you want to spend them on 20 items at the same price. Each item would cost 100/20 = 5 dollars.You want to divide a 100-minute task into 20 equal parts. Each part would take 100/20 = 5 minutes.You are scheduling 100 appointments in a day and you want to divide them into 20-hour blocks. Each block would have 100/20 = 5 appointments.What are the Life examples about?In all these life examples that are listed above, the number 100 is divided by 20 giving 5 as the result. which is said to be:
100/20
= 5.
Therefore, reason behind this is that the number 20, in these life examples, is a representative of a whole value and the number 5 represents the number of parts it is being divided into, so when you multiply 20 by 5, you get 100, which represents the total of these five parts. So, 100 is related to 20 in this context as the multiple of 20 and 5.
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Write the name of each of these polygons
Answer:
In geometry, a polygon can be defined as a flat or
plane, two-dimensional closed shape bounded with
straight sides. It does not have curved sides. The
sides of a polygon are also called its edges. The
points where two sides meet are the vertices (or
corners) of a polygon
1. polygon with four sides is called a Quadrilateral
2. polygon with six sides is called hexagon
3. polygon with five sides is called pentagon
Hope this helps?
Are x and y proportional when Y /X equals five
Answer:
no
Step-by-step explanation:
If an 8-foot pole casts a 6-foot shadow at the same time a nearby tree casts
a 33-foot shadow, how tall is the tree (in feet)?
Answer:
The tree is 44 feet
Step-by-step explanation:
[tex]\frac{8}{6}[/tex] is equivalent to [tex]\frac{4}{3}[/tex] (divide the numerator and denominator by 2)
[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{33}[/tex]
3 x 1 = 33, so 4 x 11 = 44
Which point(s) lie on the graph of the equation y = -5x - 3?
Plug in values of x to find corresponding values of y.
For example, replace x with 0 to find that...
y = -5x-3
y = -5*0 - 3
y = 0 - 3
y = -3
We have x = 0 lead to y = -3.
Therefore, the point (0, -3) is on this line. This is the y intercept.
Now try something like x = 1
y = -5x-3
y = -5*1 - 3
y = -5 - 3
y = -8
It shows the point (1,-8) is also on the line.
The straight line goes through (0,-3) and (1,-8)
We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.
See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.
Solve the exponential equation. 1/16 = 64^4 x − 3
Answer:
x=7/12Step-by-step explanation:
1/16=64^4x-3
1/4^2=(4^3)^4x-3
4^-2=(4^3)^4x-3
4^-2=4^3*(4x-3)
Since the bases are equal (to 4), the exponents must be equal to each other.
-2=3*(4x-3)
-2=12x-9
-2+9=12x
7=12x
7/12=x
x=7/12
So the answer is x=7/12
Please mark me brainliest if this helped!y=(x+3)(x-2)(x-r) with a y int. of 24. solve for r?
Answer:
Step-by-step explanation:
To solve for r, you need to first find the values of x that make y equal to 24. These values of x are called the roots of the polynomial equation y = (x+3)(x-2)(x-r).
To find the roots of the equation, you can use the quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
where a, b, and c are the coefficients of the quadratic equation y = ax^2 + bx + c.
In this case, the coefficients are:
a = 1
b = -3
c = -24
Substituting these values into the quadratic formula, we get:
x = (3 +/- sqrt(9 - 96)) / 2
= (3 +/- sqrt(-87)) / 2
Since sqrt(-87) is not a real number, there are no real roots for this equation. Therefore, the value of r cannot be determined.
The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 2.
1. x = -1, y = 29
2. x = 8, y = 11
1) The equation is:
y = -29/x
And when we evaluate in x = 2, we get y = -14.5
2) The equation is:
y = 88/x
And when we evaluate in x = 2, we get y = 44
How to find the equation between x and y?We know that the variables x and y vary inversely, then the equation between these variables will be something like:
y = k/x
Where k is a constant.
1) First we know that when x = -1, y = 29, replacing these values we will get:
29 = k/-1
-1*29 = k
-29 = k
Then the equation is:
y = -29/x
If now we evaluate in x = 2, we will get:
y = -29/2
y = -14.5
2) Now we know that x = 8 and y = 11, replacing these we get:
11 = k/8
11*8 = k
88 = k
So the equation is:
y = 88/x
If now we replace x by 2, we will get:
y = 88/2 = 44
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Davi, Gustavo, and Mariana each pack a rectangular blanket for their picnic. The measurements of their blankets are listed in the following table. If they want to use the blanket with the largest area for their picnic, which blanket should they choose?
Davi blanket your mom
The blanket that they should choose is the one for which the multiplication of dimensions result in the largest value.
How to calculate the area of a rectangle?The area of a rectangle of dimensions length and width is given by the multiplication of these dimensions, as follows:
Area = length x width.
Then, to obtain the area for each blanket, their dimensions must be multiplied.
Then the blankest with the greatest area is the one for which the multiplication of the dimensions will result in the largest value.
(applying the formula for the area of the rectangle).
Missing InformationThe problem is incomplete, as the dimensions were not given, hence the answer is given in general terms.
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Can anyone pls help I need the answer quickly
Therefore , in response to the given problem of triangle, we can state that the triangles ECD and PQR
Describe the triangle.A triangle is a polygon since it has four segments and three vertices. It is one of the basic geometric forms. The title given to that of a triangle with the vertex A, B, and C is Triangle ABC. A unique planes and trapezoid in Geometric forms are discovered once the three criteria are not collinear. Quadrilateral and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where its three sides converge. 180 degrees is the result of multiplying three triangle angles.
Here,
=> EC = PQ (equal side)
=> CD = PR (equal side)
=> ED = QR (equal side)
as a result, the SSS property compares both triangles.
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Write 49D2
in the base-ten system.
Each position in base 10 is worth ten times the place to its right, and there are ten numbers (0–9). 49D2 in the base-ten system is equal to 204064.
What does base-10 value 2 have?When you come to "two," you discover that there isn't a single digit in base-two math that stands for "two." Instead, you enter a "1" for "1 two" and a "0" for "0 ones" in the twos and units columns, respectively.
[tex]49D2 in the base-ten system is 4916^3 + 1316^2 + 216^1 \\\\= (494096) + (13256) + (216) \\\\= 200704 + 3328 + 32\\ \\= 204064[/tex]
Binary has a basis of 2 or 10.A binary counting system simply employs the numerals 0 and 1 in each place. Base 2 is another name for binary. In binary, a second place is required to represent a number greater than 1.
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In a recent year, 22.2% of all registered doctors were female. If there were 47,200 female registered doctors that year, what was the total number of registered doctors?
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Therefore , the solution of the given problem of percentage comes out to be 264414 doctors were registered that year.
What is a percentage?A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.
Here,
"Female doctors make up 22.2% of all registered doctors," the inquiry states.
Consider the entire number of doctors who are registered as x; 22.2% of those doctors are women.
and 47,200 divided by 22.2% of x
=>22.2/100 * x = 47,200
in math
264414 doctors were registered that year, or
x = 58700* 100/22.2 x.
Therefore , the solution of the given problem of percentage comes out to be 264414 doctors were registered that year.
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Solve the inequality -5<5y<15
Answer:
−1 < y < 3
Step-by-step explanation:
Question: 33 of 39 Lesson 17
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
tan θ = 0.7536
Hypotenuse = 29 miles
Opposite side = ?
Choice 'A' opp = 13.7 miles
Choice 'B' opp = 15.2 miles
Choice 'C' opp = 12.4 miles
Choice 'D' opp = 17.5 miles
Answer:
17.5 miles
Step-by-step explanation:
right!!
“Find 3.4 x 2.6 by drawing an area diagram. Show your reason (I need help on this-
The area is 8.84 sq. units
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
To find the area we will find the product of 3.4 x 2.6, we can break each length into its base-ten units,
3.4 = 3+0.4
2.6 = 2+0.6
We can rewrite the product and solve it,
= (3+0.4) × (2+0.6)
= (3+0.4) × 2 + (3+0.4) × 0.6
= 3 × 2 + 0.4 × 2 + 3 × 0.6 + 0.4 × 0.6
This expression represents the partial product, each of the expression gives the area of sub rectangles (A, B, C and D). the sum of the partial product will give the area of the main rectangle.
Therefore,
3 × 2 + 0.4 × 2 + 3 × 0.6 + 0.4 × 0.6
= 6+0.8+1.8+0.24
= 8.84
Hence, the required area is 8.84 sq. units.
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A particle moves with velocity function v(t) = −t2 + 5t − 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds.
The acceleration of the particle is 1 foot per second square
How to determine the acceleration of the particle?From the question, we have the following parameters that can be used in our computation:
Velocity function v(t) = −t2 + 5t − 3
Express properly
So, we have
v(t) = -t² + 5t − 3
At time t = 3 seconds, we have
v(3) = -(3)² + 5(3) − 3
Evaluate
v(3) = 3
So, we have
Acceleration = v(3)/3
This gives
Acceleration = 3/3
Evaluate
Acceleration = 1 foot per second square
Hence, the acceleration is 1 foot per second square
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Refer to the figure in the picture to determine
the measure of each given angle.
Check the picture below.
Here are the two sums
2/7 + 1/4 and 5/6 - 1/4
A. B
Which of the two sums is closer in value to 1/2?
You must show your working and state clearly whether the answer is A or B.
Note: Please use the “/“ key of your keyboard to enter the fractions (e.g. 2/7 as 2/7)
On solving the provided question, we can say that - the value of the fraction will be 1/4
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here,
x + x = 1/2
2x = 1/2
x = 1/4
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Solve this inequality for x.
Answer:
A. x ≥ 21[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
81 - 1[tex]\frac{1}{5}[/tex] x ≤ 55
-1[tex]\frac{1}{5}[/tex] x ≤ 55-81
-[tex]\frac{6}{5 }[/tex] x ≤ -26
x ≥ -26(-[tex]\frac{5}{6}[/tex]) **flip the inequality when you divide by a negative number
x ≥ 21[tex]\frac{2}{3}[/tex]
What do the properties of polynomial addition mean? Complete each statement.
The closure property states that the sum of two polynomials is a
The commutative property states that changing the order of two or more terms
~ the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum
the value.
The Complete statement are:
The closure property states that the sum of two polynomials is a polynomial.The commutative property states that changing the order of two or more terms does not change the value of the sum.The associative property states that the way in which two or more terms are grouped in a sum does not change the value of the sum.What is the properties of polynomial addition about?The properties of polynomial addition include closure, commutativity, and associativity.
These properties of polynomial addition make it easy to perform arithmetic operations with polynomials because they have predictable results and the order in which the polynomials are grouped or ordered does not change the final result.
Therefore, In simple terms, closure property ensures that the sum of two polynomials is also a polynomial, commutative property ensures that the order of the polynomials does not change the sum and the associative property ensures that the grouping of the polynomials does not change the sum.
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Answer:
Step-by-step explanation:
10 POINTS!
What is the constant of proportionality in this proportional relationship?
x 2 4 6 8
y 5/6 1 2/3 2 1/2 3 1/3
A. 12
B. 5
C. 12/5
D. 5/12
Answer:
d
Step-by-step explanation:
The constant of proportionality in a proportional relationship is the number that relates the two variables, x and y, in the equation y = kx.We can see that the relationship between x and y is in the form of y = kx. We can find the constant of proportionality (k) by dividing the y-value by the corresponding x-value.For example:
x = 2; y = 5/6
k = y/x = (5/6) / 2 = 5/12The constant of proportionality is 5/12 for the given proportional relationship,
y = kx where k = 5/12Note that it is important to understand that the relationship is a proportion because in this case, the k(constant) is the same for every point, if we calculate each (y/x) point it will be 5/12
Please help will mark Brainly
Answer:
x=4 and y=2
Step-by-step explanation:
You should use graph, point of intersection(for example point M(4,2) ) is solution
And we can conclude that x=4 and y=2
In Exercises 10-11, find the range of the function.
10. k(x) = x² + 9
11. f(x) = (x + 5)² +3
As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).
What is function?Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.
Here,
The formula is presented as
k(x) = x² + 9
The aforementioned equation is linear.
the range is (-∝, ∝) and the domain is(-∝, ∝)
Formula 2
The formula is presented as
y = (x + 5)² +3
The aforementioned equation is linear.
The range is (-∝, ∝), and the domain is (-∝, ∝).
As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).
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The opposite of the opposite of -2 is equal to
The opposite of the opposite of -2 is equal to: -2
This can be solved by using the concept of inverse.
What is inverse?This quantity is also referred to as the opposite (number), sign modification, and negation. It changes the sign of a real number so that the additive inverse of a positive number is negative and the additive inverse of a negative number is positive. Due to their ability to reverse mathematical processes, inverse techniques are crucial for solving equations. One of the most crucial issues to ask whenever a new mathematical method is presented is how to invert it.
The term inverse in mathematics refers to the inverse of another operation.
In this case firstly opposite of - 2 is 2 and next opposite of 2 is again -2.
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Please help will mark Brainly
Answer:
x=-1 and y=4
Step-by-step explanation:
When you draw a graph you will see point of intersection which is solution
.
The table shows the number of pools sold by the Allied Pool company over a six month period.
Allied Pool Sales
Month
Number of
Pools Sold
Feb.
11
Mar.
10
Apr.
12
May
16
June
15
July
18
According to the above table, what was the average number of pools sold per month during this period? Round to the nearest tenth if necessary.
According to the table, the average number of pools sold per month during this period is 14 (to the nearest tenth)
What is average?It is defined as the ratio of summation of all the data to the number of units present in the list. It can also be the middle value, calculated by dividing the total of all the values by the number of values.
The average can also be defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
It is represented mathematically as;
Average = Sum of Values/Number of Values
Average = total swimming pools sold in six months / number of months
Average = (11 + 10 + 12 + 16 + 15 + 18) / 6
Average = 82/6
Average = 13.7
Average = 14 (to the nearest tenth)
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a particular dress requires 3 1/4 yards of fabric for manufacturing. if the matching jacket requires 1/6 yards less fabric, how much fabric is needed for both pieces?
Answer: The matching jacket requires 1/6 yards less fabric than the dress, which is 3 1/4 - 1/6 = 3 1/4 - 2/12 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 3/12 yards of fabric.
To add these two amounts of fabric together, you need to add the yards and the inches separately.
For the dress: 3 1/4 yards = 3 + 1/4 = 3 + 0.25 = 3.25
For the jacket: 3 3/12 yards = 3 + 3/12 = 3 + 0.25 = 3.25
So, for both pieces, the required fabric is 3.25 + 3.25 = 6.5 yards
Step-by-step explanation:
Please help will mark Brainly
Answer:
371 children
Step-by-step explanation:
289*$2,5 + 371*$1,5 = $1279