Which statement is true about the y-intercept of a quadratic function?
A.
A quadratic function can only have one y-intercept.
B.
A quadratic function can have up to two y-intercepts.
C.
The y-intercept is also called a zero of the function.
D.
The y-intercept is located at the point where the value of y is 0.
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Answers

Answer 1

Answer:

A.

Step-by-step explanation:

A quadratic function may only intercept the y-axis once. This is because the definition of a y-intercept tells us that it is the point where x = 0. If there are multiple points where x = 0, then the expression cannot be a function. As such, a quadratic function can only have one.

Choice B contradicts the previous statement.

Choice C is wrong because the x-intercept is the zero of the function. This is because at a given x-coordinate that touches the x-axis, the y-coordinate will be 'zero'.

Choice D is wrong because the y-intercept is where x = 0.

I hope this helps!


Related Questions

what is the value of x in 2.5(6x-4)=10+(1.5+0.5)

Answers

Answer:

x = 22/15

Step-by-step explanation:

2.5(6x-4)=10+(1.5+0.5)

Combine like terms

2.5(6x-4)=10+(2)

2.5(6x-4)=12

Divide each side by 2.5

6x-4 = 4.8

Add 4 to each side

6x = 8.8

Divide by 6

6x/6 = 8.8/6

x = 88/60

x = 22/15

Find the value of x.

A. 9
B. 6√3
C. 6
D. 3√6
E. 3

Answers

Answer:

i

Step-by-step explanation:

AABC is isosceles.
mZA = 3x + 40 and mZC = x + 50 mZA = [ ? ]°

Answers

Answer:

Using the information from the problem, the measurement of ∠A is 55°

Step-by-step explanation:

We are given that ΔABC is isosceles. If a triangle is isosceles, then it means that two angles are going to be congruent to each other which are called the base angles. In the problem above, ∠A and ∠C are the base angles so that means that their measurements are going to be equal to each other.

We can use this information in order to solve the problem and find the measurement of ∠A. By doing so, we will set up both expressions and equal them to each other.

m∠A = 3x + 40

m∠C = x + 50

3x + 40 = x + 50

Subtract x on both sides of the equation.

2x + 40 = 50

Subtract 40 from both sides of the equation.

2x = 10

Divide 2 on both sides of the equation.

x = 5

So now that we have our x-value, we will plug this into both angles just to check our work. If they have the same measurement, then we have our answer for the measurement of ∠A.

x = 5

m∠A = 3(5) + 40

m∠A = 15 + 40

m∠A = 55

m∠C = (5) + 50

m∠C = 55

So, the two angles have the same measurements to each other which means they are congruent. Now, we have our answer.

The measurement of ∠A is 55°

Point V lies between points U and W on Line segment U W.

A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10.
If UW = 9x – 9, what is UW in units?

5 units
6 units
30 units
36 units

Answers

Answer:

The correct answer is (d) 36 units.

Step-by-step explanation:

Just took the test on edge :)

The measure of UW is 36 units

The measure of angles between segments

From the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;

UV + VW = UW


Given the following

VW = 4 x + 10.

UW = 9x – 9

UV = 2x - 4

Substitute

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

-3x = -15

x = 5

UW = 9x - 9

UW = 45 - 9

UW = 36 units

Hence the measure of UW is 36 units

Learn more on angles here: https://brainly.com/question/25770607

Can you pls help i really NEED IT

WANT BRAINIEST

Answers

Answer:

V =13/150 yd^3

Step-by-step explanation:

The volume of a rectangular prism is given by

V = l*w*h

V = 1/2*( 13/15)* 1/5

V =13/150 yd^3

Answer:

13\150 yd³

Step-by-step explanation:

V=height×weight×legth

1\2×13\15×1\5=13\150 yd³

Which fraction is smallest?

4/35 OR 1/7 ?

Answers

Answer:

1/7 is the smallest fraction

1. Uma escada possui comprimento igual a 30m. Sabe-se que ela se encontra encostada em um muro, formando com este um ângulo de 60º. Podemos afirmar que a altura da escada, em m. é igual am:

Answers

Answer:

The height of the ladder is 15 meters.

Step-by-step explanation:

To find the height of the ladder, we just need to use the cosine relation of the 60 degrees angle.

The adjacent side to the angle is the height of the ladder, and the hypotenuse of the triangle created is the length of the ladder. So, we have that:

cos(60) = height / length

0.5 = height / 30

height = 30 * 0.5 = 15 meters

The height of the ladder is 15 meters.

whats the answer to 5^-2

Answers

Hey!!

Solution,

(5)^-2

=1/5^2

=1/25

The answer is 1/25

hope it helps

Good luck on your assignment

A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is
compounded annually?

Compound interest formula: V(t) =P(1+r/n)^nt

t = years since initial deposit
n= number of times compounded per year
r= annual interest rate (as a decimal)
P= initial (principa) investment
V(t) = value of investment after t years​

Answers

Answer:

The value of the investment V(t) after t years is $562.43

Step-by-step explanation:

Here, we are interested in calculating the balance V(t) after 3 years given the information in the question.

We are to use the given formula.

From the question;

V(t) = ?

P= $500

t = 3 years

r = 4% = 4/100 = 0.04

n = 1

Substituting these values into the formula, we have ;

V(t) = 500( 1 + 0.04/1)^(3)

V(t) = 500(1.04)^3

V(t) = 562.432

To number the apartments in a building, metal plates with digits were used: one digit on each plate. How many plates were used to number 136 apartments in the building?

Answers

Answer:

301 plates

Step-by-step explanation:

For numbers between 0 and 9, 1 plate was used each.

This means that 10 plates were used.

For numbers between 10 and 99, 2 plates were used for each.

This means that the number of plates used will be:

2 * 90 = 180 plates

For numbers between 100 and 136, 3 plates were used for each.

This means that the number of plates used is:

3 * 37 = 111 plates

The total number of plates used is therefore:

10 + 180 + 111 = 301 plates

301 plates were used in total.

Here is a map of a town.
The map shows a centimetre ruler.
5 km is represented by 1 cm.
Find the real-life distance between the ice rink and the museum.

Answers

Answer:

10km

Step-by-step explanation:

2x5=10km

21) Natalie kicked a soccer ball. The equation ℎ=−162+50 describes the height of the ball t seconds after it was kicked. Approximately how many seconds went by before the ball hit the ground?

Answers

25/8 or 3.125 seconds

To find the time until the ball hits the ground, you need to solve the quadratic as the height equals zero.

0 = -16t^2+50t

This gives us a classing quadratic that you can factor or use the quadratic formula to solve.

x = 0, x = 25/8

If you graph this, think of y = 0 as the ground, so when the parabola intersects the x-axis on the right that represents how much time would have passed.

Hope this helps you out! Good luck with your homework! Stay safe and stay healthy.

This chart shows the growth of a maple tree. If the tree's height increases in this same pattern, what will be the height of the tree, in inches, after 8 months?



Months
Height of Tree
1
10 inches
2
13 inches
3
16 inches
4
19 inches

Answers

Answer:

31 inches

Step-by-step explanation:

you can get this answer by 2 ways. one is using number patterns.

find the difference between each of the heights.

13-10=3

16-13=3

19-16=3

therefore the common difference is 3

now create a number pattern.

first term + common difference× (n-1)= nth term

a+(n-1)d

let's check this with the 2nd month

10+ 3× (2-1)

10+3=13

in second month 13 inches

so this pattern works

let's find the height in 8th month

10+ 3(8-1)

10+ 21=31 inches

height in 8th month is 31 inches.

you can find this by just adding too. but forming an equation is always good and safe

what is the solution to 5/6x-1/3>1 1/3

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5}{6}x-1>1\frac{1}{3}\\\\\frac{5}{6}x-1>\frac{4}{3}\\\\\frac{5}{6}x>\frac{4}{3}+1\\\\\frac{5}{6}x>\frac{4}{3}+\frac{3}{3}\\\\\frac{5}{6}x>\frac{7}{3}\\\\x>\frac{7}{3}*\frac{6}{5}\\\\x>\frac{7*2}{5}\\x>\frac{14}{5}\\\\x>2\frac{4}{5}[/tex]

damian rides his bike 38 miles each week for 15 weeks how many total miles did he ride in 15 weeks

Answers

Answer:

570 miles

Step-by-step explanation:

If Damian rides 38 each week and we want to know how much it was for 15 weeks, then we just multiply the two to get 570 miles in a 15 week period.

Answer:570

Step-by-step explanation:

38 times 15= 570

Which ordered pair is the solution to the system of equations?
x + 2y = -8
y= 1/2x-2

Answers

substitute the second equation to the first one
x + 2(1/2x - 2) = -8
x + x - 4 = -8
2x - 4 = -8
2x = -8 + 4
2x = -4
x = -4/2
x = -2
Answer:
(-2, -3)

Explanation:
Step 1 - Multiply the second equation by two and add the two rows together

x + 2y = -8
y = 1/2x - 2

x + 2y = -8
2y - x = -4
4y = -12

Step 2 - Divide both sides of the equation by four

4y = -12
4y/ 4 = -12/ 4
y = -3

Step 3 - Substitute the negative three for y in the first equation and simplify

x + 2y = -8
x + 2(-3) = -8
x - 6 = -8

Step 4 - Add six to both sides of the equation

x - 6 = -8
x - 6 + 6 = -8 + 6
x = -2

Therefore, the ordered pair should be (-2, -3).

What is the solution to the system of equations? y = –5x + 3 y = 1 (0.4, 1) (0.8, 1) (1, 0.4) (1, 0.8)

Answers

Answer:

y = –5x + 3....... 1

y = 1 ..........2

Substitute y = 1 into the first equation

y = –5x + 3

1 = - 5x + 3

-5x = 1-3

- 5x = - 2

Divide both sides by - 2

x = 2/5 or 0.4

x = 0.4 y = 1

The solution to the above system of equations is ( 0.4 , 1)

Hope this helps

Answer:

0.4, 1

Step-by-step explanation:

A, The first one

Which expression has a value of 15 when n=7 ?

Answers

19-28/n

n=7

19-28/7

19-4

=15

Answer:

d for the lazy people like me  :D PROPS TO THE PERSON ON TOP OF ME

Step-by-step explanation:

In the figure below, triangle RPQ is similar to triangle RTS.

Triangle R P Q. Side P R is 42 and side P Q is x. Triangle S R T. Side S T is 36 and side R T is 28.

What is the distance between P and Q?
24
42
50
54

Answers

Answer:

The distance between P and Q is 54

Step-by-step explanation:

We are given that triangle RPQ is similar to triangle RTS.

Property of similar triangle: The ratio of any pair of corresponding sides is the same.

So, by property : [tex]\frac{RP}{RT}=\frac{PQ}{ST}[/tex]

PR=42

PQ=x

ST=36

RT=28

So,[tex]\frac{42}{28}=\frac{x}{36}[/tex]

[tex]\frac{42 \times 36}{28}=x[/tex]

54=x

Hence the distance between P and Q is 54

Answer:

D) 54

Step-by-step explanation:

Completed the test earlier

You need to solve a system of equations. You decide to use the elimination
method. Which of these is not allowed?
3x-2y = 7 Equation 1
3x+4y= 17 Equation 2
A. Subtract equation 2 from equation 1.
B. Subtract the left side of equation 2 from the left side of equation
1.
C. Multiply equation 1 by 2. Then add the new equation to equation
2.

Answers

Answer:

Step-by-step explanation:

Both B and C would be using e

Option (B) Subtracting the left side of equation 2 from the left side of equation 1 would be the correct choice.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two linear equations or systems of equations:

3x-2y = 7 Equation 1

3x+4y= 17 Equation 2

As we know, in the elimination method:

We try to eliminate the variables at a time by making a similar coefficient of the x or y.

In option (B) Subtract the left side of equation 2 from the left side of equation 1.

It is not allowed to perform because first, we have to make the coefficient of y similar.

Thus, option (B) Subtracting the left side of equation 2 from the left side of equation 1 would be the correct choice.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Please answer the question below and show your work!
|
|
|
|
v

Answers

Answer:

10

Step-by-step explanation:

F + V − E = 2

Where F is the number of faces, V is the number of vertices and E is the number of edges

F + 16 - 24 = 2

Combine terms

F -8 = 2

Add 8 to each side

F -8+8 =2+8

F = 10

hhhhhhheeeellllpppp mmmmmeeeeee

Answers

Hey there! I’m happy to help!

The surface area is basically the area of the surface of the shape. So, if you have a cube, it’s the area of all of the surface of the cube, not anything inside.

We see that we have a net of this square pyramid. If we fold it up, the square and four triangles will make up the surface of the 3D shape we see. So, we need to find the area of all of these shapes.

SQUARE
To find the area of a square, you multiply one of the sides by itself (all the sides are the same)

10(10)=100

TRIANGLES
To find the area of a triangle, you take the base and multiply the height and then divide it by two.

10(12)=120
120/2=60
Since we have four triangles, we multiply it by four.
60(4)=240

Finally, we add this all up.

240+100=340

Therefore, the answer is 340 square inches.

I hope that this helps! Have a wonderful day!

is the bisector of BOT.

Answers

Answer:

uh say that again slower

Step-by-step explanation:

Find the product.
(3x + y) (3x - 3y)

Answers

Answer:

[tex]9x^{2} -6xy-3y^{2}[/tex]

Step-by-step explanation:

[tex](3x+y)(3x+-3y)[/tex]

[tex](3x)(3x)+(3x)(-3y)+(y)(3x)+(y)(-3y)[/tex]

[tex]9x^{2} -9xy+3xy-3y^{2}[/tex]

[tex]9x^{2} -6xy-3y^{2}[/tex]

Answer:

9xsq - 6xy -3ysq

Step-by-step explanation:

3x x 3x = 9xsq

3x x -3y= -9xy

y x 3x = 3xy

y x -3y= -3ysq

9xsq -9xy +3xy -3ysq

9xsq -6xy - 3ysq

sq = squared

Yo can someone help me out please?

Answers

Answer:

56.52in^3

Step-by-step explanation:

V=πr^2h

V=3.14×3^2×6in/3

V=3.14×9in^2×6in/3

V=3.14×54in^3/3

V=3.14×18in^3

V=56.52in^3

answering so the person above can get brainliest :)

Why would a railway be important to either side in the civil war?

Answers

Answer:

Either side would have been improved by a railway so they could get more ammo in and get food in and also get the sick and wonded out to get medical attention

Step-by-step explanation:

to transport food the wounded ammo and healthy tripp’s

Which is the equation of the line with slope 2 that passes through (8,14).
a. y=2x+2
b. y=2x-2
C. y=x-2
d. y=2-2x
Prove that your answer is true.

Answers

b. y = 2x-2

14 = 2(8) + b
14 = 16 + b
-2 = b

Which of these quadratic expressions is equivalent to
x^2 + 12x +32

A. (2x+8)(x+2)
B. (x+8)(x+4)
C. (x+2)(2x+6)
D. (x+2)(x+6)

Answers

Answer:

B. (x+8)(x+4)

Step-by-step explanation:

[tex] {x}^{2} + 12x + 32 \\ = {x}^{2} + 8x + 4x + 32 \\ = x(x + 8) + 4(x + 8) \\ \red { \bold{ = (x + 8)(x + 4) }}[/tex]

If Andre made another countryard scale drawing at a scale of 1 to 12, would this drawing be smaller or larger than the first drawing ? Explain your reasoning.

Answers

Answer:

smaller

Step-by-step explanation:

If Andre is using a scale of 1:12 then we can safely say that the courtyard drawing will be smaller than his first drawing. This is because this scale means that for every 12 units of measurement on the original the newer version will be 1 unit of measurement. Therefore making the new drawing 12 times smaller than the first one that Andre made.

Please help will mark brainliest
Eighteen cyclists were each asked the number of miles they biked last week.
Their responses are given below.

Answers

Answer:

(a) The complete frequency distribution is shown below.

(b)The histogram is attached below.

Step-by-step explanation:

The data for the number of miles biked by eighteen cyclists last week is as follows:

7, 21, 12, 4, 5 , 18, 10, 23, 11, 13, 20, 4, 24, 4, 9, 11, 6, 23

(a)

A frequency distribution is to formed for the data with a class width of 6.

The class intervals are provided.

The complete frequency distribution is as follows:

Class Interval      Frequency

     2 to 7                    6

    8 to 13                    6

   14 to 19                    1

  20 to 25                  5

(b)

The histogram is attached below.

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