Explain how you can use the vertex form of a quadratic function to locate the vertex of the function's graph.

Answers

Answer 1

Answer:

quadratic function can find and write with the vertex and function the graph better.

Step-by-step explanation:


Related Questions

Please HELP!!!!!!!! THANK YOU!!!!!!!!

Answers

Answer:

200 animals is the correct answer to the first question.

Consider the enlarged triangle.

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

Which steps should be used to find the perimeter? Check all that apply.

Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.

Answers

Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2

Calculate the perimeter of the original figure.

Multiply the perimeter of the original figure by the scale factor.

Step-by-step explanation:

A, C, D

The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.

What is Scale Factor?

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

First find the scale factor.

Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2

Now, find the perimeter of the original figure.

Perimeter of the original figure = 4 + 5 + 3 = 12

Now.

Perimeter of enlarged figure = Scale factor × Perimeter of original figure

= 2 × 12

= 24

Hence the correct steps are first, third and last step.

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A standard painkiller is known to bring relief in 3.5 minutes on average LaTeX: \muμ. A new painkiller is hypothesized to bring faster relief to patients. A sample of 40 patients are given the new painkillers. The sample yields a mean of 3.0 minutes and a standard deviation of 1.1 minutes. Using a level of significance LaTeX: \alpha = 0.05α = 0.05, the rejection region for the test is:

Answers

Answer:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

Step-by-step explanation:

Setting the null and alternative hypothesis :

H0 : μ = 3.5

H1 : μ < 3.5

Sample size (n) = 40

Mean (m) = 3 minutes

Standard deviation (s) = 1.1 minutes

Test statistic : Z = (m - μ) / (s/√n)

Z = (3 - 3.5) / (1.1/√40)

Z = - 0.5 / 0.1739252

Z = - 2.8747978

Zcritical at α 0.05 = 1.645

This is a left tailed test :

Hence rejection region:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645



In the diagram, line A is parallel to line B. Which angles are congruent to angle 1?
(20 Points)
Select All that apply
angle 2
angle 3
angle 4
angle
angle 6
angle 7
angle 8

Answers

Answer:

angle 8

Step-by-step explanation:

Follow Me Please

Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In how many different ways can the children sit

Answers

Answer: 40320

Step-by-step explanation: I think thats correct because the kids on the outside is 1234567 so then there is a kid in the middle.

The number of ways for the children sit will be 40,320.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eight children sit together at story time.

And, Seven children sit in a circle and one child sits in the middle to tell the story.

Now,

Since, There are 8 students.

Hence, The number of ways for the children sit = 8!

                                                                          = 40,320

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2 5/6 years is how many months

Answers

2 5/6 years Is 34 months

Final Answer: 34 months

Steps/Reasons/Explanation:

Hey there! Each year is 12 months. We can see that 2 years is already given. 2 years × 12 months = 24 months.

For [tex]\frac{5}{6}[/tex] we will multiply it by two to find the remaining amount of months. [tex]\frac{5}{6}[/tex] × [tex]2[/tex] = [tex]\frac{10}{12}[/tex]. This means that there is an extra 10 months of a year remaining.

Now we have to add them up. 24 months + 10 months = 34 months.

~I hope I helped you :)~

Which equation describes a line perpendicular to line R that passes through the point
(3, –6)?

A.x – 3y = 21
B.3x + y = 3
C.3x – y = 15
D.3x – y = 3

Answers

Answer:a

Step-by-step explanation:

Help ASAP anyone :)!!!??!

Answers

Answer:j

Step-by-step explanation:

D represents the graph. I choose this answer because we know the y means the b in the formula of y=mx+b. b=2 and the m or slope equal 4/3 because it is rising 4 spaces and run 3. Used the formula rise/run.
I hope this helps :)

HELP ME PLEASEEEEEEEE

Answers

Answer:

2/3 more pizza

Step-by-step explanation:

because there is 3 blocks in a row and Edgar ate 2 more pizza slices than Reggle so there for Edgar ate 2/3 more pizza slices. hope this helps :)

(01.02 MC)Which of the following expressions shows how to rewrite 4 − 5 using the additive inverse and displays the expression correctly on a number line?
1.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 1.
2.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 5.
3.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 5.
4.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 1.

Answers

Answer:

I think the answer is 1. The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative. So the answer is A

hope this helps sorry if it wrong

pls let me now if right or wrong

The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1. Option A is correct.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
4  + (- 5)

The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1.

Thus, option A is correct.

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40 points on the line please answer I have 4 minutes left!!!

Write the product, and then write the expression in standard form by removing parentheses and combining like terms. Justify each step.


A. The multiplicative inverse of 1/5 and (2x - 1/5)

Please help!!!

Answers

Step-by-step explanation:

please see it my steps to work this problem

100 points please help

Answers

Answer:

She has $3.74 in quarters. I'm kind of confused but hopefully this helps??

Step-by-step explanation:

0.75 x 5= $3.75

$3.75/0.25= 15 quarters

Answer:

l

Step-by-step explanation:

A factory is going to hire 33 new employees. There are 79 applicants. Which
choice represents the ratio of new hires to applicants?

Answers

Answer:

33:79

Step-by-step explanation:

We are told that a factory is going to hire 33 new employees.

and the total applicants is 79

In this problem, we want to represent the situation as a ratio of new hires to applicants

Since the question says  new hires to applicants

Hence, the ratio will be

33 to 79

or

33/79, we can simplify this as

33:79

Select the correct answer. Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33 A. The equation has a maximum value with a y-coordinate of -21. B. The equation has a minimum value with a y-coordinate of -21. C. The equation has a minimum value with a y-coordinate of -27. D. The equation has a maximum value with a y-coordinate of -27.

Answers

Step-by-step explanation:

y = -3x² + 12x - 33

y = -3[x² - 4x + 11]

y = -3[(x - 2)² + 7]

Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.

Therefore the correct option is A.

In this system of equations below solve for x
2x+2y=12
x-4y=6

Answers

Answer:

X = 6

y = 0

Step-by-step explanation:

use elimination method. Multiply (x -4y = 6) by -2.

2x + 2y = 12

-2x + 8y = -12

add them together

10y = 0

y = 0

plug in for y

x - 4(0) = 6

x = 6

A tv has a screen that is 15 in long and has a 25 in long diagonal find the area of the tv screen?

Answers

Answer:

300 in²

Step-by-step explanation:

The TV screen is rectangular in shape.

Thus:

Length of the rectangular screen = 15 in.

Diagonal of the rectangular screen = 25 in.

To find the area of the rectangular screen, we need the length and the width of the screen.

Use pythagorean theorem to find the width as shown below:

[tex] a^2 + b^2 = c^2 [/tex], where:

a = width = ?

b = 15 in.

c = 25 in. (The hypotenuse/longest side)

Plug in the values into the equation

[tex] a^2 + 225 = 625 [/tex]

Subtract 225 from each side

[tex] a^2 = 400 [/tex]

Take the square root of both sides

[tex] a = 20 [/tex]

width of the screen = 20 in.

Thus,

Area of the screen = length × width

= 15 × 20

Area = 300 in²

The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor 1 spot: and is labeled + x. 6 tiles are in the Factor 2 spot: 1 is labeled + x and 5 are labeled negative. 18 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled + x, the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization?

Answers

Answer:

2 positive unit tiles is needed

Step-by-step explanation:

Given the expression x^2 – 3x – 10, the partial factorization is as shown;

x^2 – 3x – 10

=  x^2 +2x – 5x – 10

= x(x+2)-5(x+2)

= (x-5)(x+2)

Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)

From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.

Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization

Answer:

B i think

Step-by-step explanation:

The actual Mount Rushmore carving was made from a scale model with a scale of 1 inch = 1 foot. On the model, Teddy Roosevelt's mustache was 1 foot by 8 inches long. What is the length of Teddy Roosevelt's mustache on the monument?

Answers

Answer:

1 foot by 8 inches

Step-by-step explanation:

A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used?

Answers

Answer:

19 by 38

Step-by-step explanation:

The area of the poster, A=xy

Margin at both up and bottom is 2inches, at the right and left is 1 inch

Then we can say

(x-4)(y-2)= 578

Let us make y subject of the formula

(y-2)= 578/(x-4)

y=[ 578/(x-4)] + 2

If we substitute into the area A equation we have

A= x { [ 578/(x-4)] + 2}

A= 2x + (578x)/(x - 4)

If we differentiate we have

A'(x)= [2+578(x-4)+578x ]/ (x-4)^2

=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2

=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2

If we simplify this we have

=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2

=( 2x^2 -16x - 2312) / (x-4)^2

At A'(x)= 0

= ( x^2 - 8x - 2312) / (x-4)^ =0

If we divide through by 2 we have

x^2 - 8x - 1156= 0

Solving the quadratic eqn( CHECK THE ATTACHMENT)

X= 38 or -30 then we choose the positive one, then x= 38

Then from area of the poster

A= (x-4)(y-2)= 578

Substitute 38 as value of x

(38-4)(y-2)= 578

34(y-2)=578

34y-68=578

34y=646

y=19

Hence dimensions of the poster is 19 by 38

CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION

PLEASE ANSWER FAST
what is the length of rt?
a - 3 cm
b - 1 cm
c- 9 cm
d - 4 cm

Answers

Answer:

I would say 3cm

Step-by-step explanation:

sorry if it's wrong but I sure it's right

i would also say 3 bc 12/4=3 and so just divide 9 by 3 also and get 3

Solve for the missing amount.
Of the 300 Sequoyah Cougars that play a sport, 20 % will go on to play high school sports.
How many Cougars will play a sport in high school?

Answers

Answer:

60

Step-by-step explanation:

Answer:

60 Cougars will play a sport in high school

Step-by-step explanation:

20% of 300 is 60.

PLZ HELP!!


Tony paid $12 for a carnival ticket. Then he paid $3 per ride. If he spent $36, how many rides did he buy? Solve using an ALGEBRAIC EQUATION

Answers

Answer:

8

Step-by-step explanation:

The expression you need to use would be

3x+12=36.

Subtract 12 from both sides

3x=24

Divide by 3

X=8

A military jet flying with the wind travelled 1500 km in 1.5 hrs, but when the plane turned around, it took 1.875 hours to return to its base. Find the rate of the plane in calm air and the rate of the wind. pls solve with 2 variables!

Answers

Answer:

With wind = 1000 km /hr

In calm air = 800 km/hr

Step-by-step explanation:

With wind :

Distance traveled = 1500 km

Time taken = 1.5 hours

Speed of plane in air :

Speed = distance / time

Speed = 1500 km / 1.5 hours

Speed = 100 km pe hour

In calm air :

Time taken = 1.875 hours

Distance = 1500 km

Speed of wind in calm air :

Distance / time

1500 km / 1.875

= 800 km/hr

Put the following numbers in order from least to greatest.



1/4 1/8 1/2

Answers

Answer:

1/8 1/4 1/2

Step-by-step explanation:

i hope it will help you

Step-by-step explanation:

1\8 1\4 1 \2

Two hikers hike two different trails for 3 days: Hiker 1: Climbs up in elevation 500 m per day Hiker 2: Goes down in elevation 500 m per day Write an equation using multiplication that represents each hiker's elevation after 3 days. Explain what each number means. What is the final elevation of each hiker?

Answers

Answer:

i. y = 3(x)

ii. This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.

Step-by-step explanation:

Let assume that the horizontal surface of the earth is taken to be zero. Thus any distance moved upward is positive, and any distance moved downward is negative. As compared to a number line.

Thus, after 3 days, the equation for each hiker is;

y = 3(x)

Where y is the total distance covered after 3 days, and x is the elevation of the hiker per day.

For Hiker 1, the elevation was upwards;

y = 3(500)

 = 1500 m

For Hiker 2, the elevation was downwards;

y = 3(-500)

  = -1500 m

This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

7.61577

Step-by-step explanation:

could someone help please? this is hard

Answers

Step-by-step explanation:

1/8+1/4+1/8=1/8+2/8+1/8=4/8=1/2

Answer:

1,2,1, 4, 1

These numbers correspond with the boxes in order from left to right.

Which fraction is equivalent to 0.4?

StartFraction 4 over 100 EndFraction
One-fourth
Four-tenths
StartFraction 4 over 1 EndFraction

Answers

Answer:

Four-tenths

Step-by-step explanation:

Four-tenths

Hope it helps you in your learning process.

Find what x equals please

Answers

Answer:

180-(35+28)->180-63=117 and 180-117=63 then 63+36=99 and 180-99=81 so x=99°

Pls someone help me!

Answers

Answer:

When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.

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