f(x) = -x^2- 4x + 10
in the standard form
f(x) = a(x – h)^2 + k

Answers

Answer 1

Answer:

y = - ( x + 2 )² + 14

Step-by-step explanation:

f(x) = ax² + bx + c

f(x) = a(x - h)² + k (where (h, k) are coordinates of the vertex.

h = - [tex]\frac{b}{2a}[/tex]

~~~~~~~~~~~~

f(x) = - x² - 4x + 10

a = - 1, b = - 4, c = 10

h = - [tex]\frac{-4}{2(-1)}[/tex] = - 2

k = - ( - 2)² - 4( - 2) + 10 = 14

(h, k) = ( - 2, 14 )

y = - ( x + 2 )² + 14


Related Questions

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches. What is the width of frame a and frame b.

Answers

Answer:

Frame A width = 6.67 inches

Frame B width = 6 inches

Step-by-step explanation:

WA = width of frame A

WB = width of frame B

(WA)(6.75) = 45

WA = 6.67

(WB)(7.5) = 45

WB = 6

Math help please what is the line grsph

Answers

So you need to find the slope that is perpendicular to equation.

Line L: y = 3x + 5

For it to be perpendicular, the slope has to be the opposite of 3 in 3x.

Since it is a positive value, we need to change it into a negative value in order for it to be opposite (perpendicular). So that will be -3.

Now we have to flip it. There is a 1 under that -3, it’s just not necessarily shown. So you flip it upside down and that will be -1/3.

-3/1 —> -1/3


The answer is -1/3.

Find the number of students who have access to both a computer and mobile phone?​

Answers

Is there a picture ?

Find sin(90).
Α. 0 B. 1 C. √2 D. √2/2​

Answers

Answer:

i think letter D or C i also have this question

Answer:

its b

Step-by-step explanation:

i just did it

what does 5 cards to 7 cards mean?

Answers

Answer:

That is a ratio. Like for every 5 blue cards there are 7 red cards, read the context and you'll be able to see the ratio.

Step-by-step explanation:

Hope this helps :)

which equation represents the linear function that is shown on the graph ​

Answers

Answer:

Y = (1/2)x - 2

Step-by-step explanation:

To compose a linear equation, always use the form

Y = Mx + C where C is the y-intercept and M is the gradient.

In this case, pick any 2 points on the graph to solve for M

e.g (8,2) and (6,1)

Gradient = (2 - 1) /(8 -6) given by (y1 - y2) / (x1 - x2) = 1 / 2

Substitute into the form, we get

Y = (1/2)x + C

Now, we use any point again on the graph,

e.g (6,1) and substitute as (x, y) into the above function.

We will get 1 = (6)(0.5) + C

C = -2

Piece them up and u get the full function.

The Ryan family pays 1,347 per month for rent. If there rent doesn't change how much will they pay in dollars for rent over the 30 years.
( will give brainliest if you help)

Answers

Answer:

in a span of 30 years, the family would pay $40,410 in rent.

Step-by-step explanation:

you simply multiply $1,347 by 30!

(comment any questions)

The angle -456° terminates in which quadrant?

Answers

Answer:

Step-by-step explanation:

n o The angle terminates in Quadrant II In degrees, the reference angle for the given angle is 30°.

Determine the measure of central tendency that best represents the data set below.

15, 12, 11, 17, 18, 20, 34, 8, 9, 20

Answers

Answer:

Mean

Step-by-step explanation:

best measure of central tendency to use when your data distribution is continuous and symmetrical

*it depends on what you are trying to show from this set of data!

In ANOP, the measure of ZP=90°, the measure of N=27°, and PN = 50 feet. Find
the length of NO to the nearest tenth of a foot.

Answers

Answer: 56.1

Step-by-step explanation:

Which expressions are equivalent?
1. 3x-7y and -7y+3x
2. 3x-7y and 7y-3x
3. 3x-7y and 3y-7x
4. 3x-7y and-3y+7x

Answers

Answer:

1. 3x-7y and -7y+3x

Step-by-step explanation:

1. 3x -7y and -7y +3x

This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.

2. 3x -7y and 7y -3x

This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.

3. 3x -7y and 3y -7x

This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.

4. 3x-7 and -3y+7x

This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.

someone help with math:

For which equation is b = 5 not the solution?

options:

1. 8 - b = 13
2. b + 6 = 11
3. b + 4 = 9
4. 12 - b = 7

Answers

Answer:

option 2 and 3

b+6=11

b+4=9

Answer:

1. 8 - b = 13

Step-by-step explanation:

It says for which equation is b = 5 not the solution.

So, we need to plug in 5 into every b, and find out which one is incorrect.

1. 8 - 5 = 13 (incorrect)

2. 5 + 6 (correct)

3. 5 + 4 = 9 (correct)

4. 12 - 5 = 7 (correct)

Therefore, option 1 is the answer to your question.

Fill in the missing values in the ratio table:

Answers

Answer:

180 and 2.5

Step-by-step explanation:

for the second collum over 3 it would be 180

For the one under 150 it would be 2.5

let me know if you need a better explanation

Answer:

3=45   150=5              

Step-by-step explanation:

You roll one die. What is the probability that you roll a 6?
A 1/2
B 1/4
C 1/6
D 2/6

Answers

Answer:1/6

Step-by-step explanation:

For one roll it’s1/6

C

Step-by-step explanation:

The probability of rolling exactly one 6 = 16×(56)5=312546656

find the equation of the line m= -4 and contains the point (3,6)

Answers

Answer: y=-4x+6

Step-by-step explanation:

M is the slope in slope intercept form.

y=mx+b

And b is the Y intercept because when you plug in zero for x you get y=b.

So we know

y=-4x+b

Because m is the slope

And y is 6 because it is shown in the parentheses

So we know the answer is y=-4x+6

A large factory that builds machines has three shifts, one that starts at 4:00 A.M., one that starts at noon, and one that starts at 8:00 P.M. The manager of the factory wanted to know whether there is an association between an employee’s work experience (less than five years with the company, between five and twenty years with the company, over twenty years with the company) and the time of the employee’s shift. The manager selected a random sample of 125 employees and classified employees by their shift time and work experience. What is an appropriate pair of hypotheses for the manager to use?

Answers

Answer:

if the worker has more experience, then they will have longer shifts because they will be better at their job and be able to complete more tasks.

Step-by-step explanation:

use and "if then because" structure in a hypothesis, and use common logic based on the info provided :)

Answer:

[tex]H_{0}[/tex] : Work experience is independent of the time of an employee's shift

[tex]H_{A}[/tex] : Work experience is dependent on the time of an employee's shift

Step-by-step explanation:

Since we have one population but multiple variables, so we are using a chi-square test of independence. Thus, our null should be that there is no association, and the alternative that there IS an association.

please help me with these problems.... please answer all the questions with the method I already started with... due at 11:59pm TODAY

Answers

Step-by-step explanation:

Howdy, did you do a, b, and c by yourself? Because there are some slight issues, so I'll do my best to explain.

a. 3x+5x

We know that x=2, so we can substitute 2 in for x right now, or we can combine like terms.

3x and 5x both have the variable x so we can add them easily to get 8x. If you substitute in 2, you're just multiplying 8×2, which is 16.

b. 5z+4z+z

Again, since

we know that z=-3, we can substitute in now, or we can combine like terms first. 5z, 4z, and z all have the variable x, we addition is easy. 5+4+1=10, so you'll have 10z. Substitute in -3 for z, and you're just multiplying 10×-3=-30

c. 3x+6+5x

This is trickier since 6 doesn't have the variable x. So to combine like terms means to only add 3x and 5x. So the equation will turn out looming like 8x+6. now substitute in 2 for x and you get

8(2)+6

16+6

22

d. 8y+8-4y

Combine like terms

4y+8

substitute in 5 for y

4(5)+8

20+8

28

e. 5z-4z+z

combine like terms

z+z

2z

substitute -3 for z

2(-3)

-6

f. 3x+6+5x-2

combine like terms

(so that's 3x+5x and 6-2)

8x+4

substitute in 2 for x

8(2)+4

16+4

20

g. 8y+8-4y-3

combine like terms

8y-4y+8-3

4y+5

substitute in 5 for y

4(5)+5

20+5

25

h. 5z-4z+z-3z

combine like terms

-z

substitute in -3 for z

-(-3)

double negatives make a positive

3

A rotating lawn sprinkler sprays water in a circular area of grass. the Diameter of the grass shown is 10 feet. What is the area of the grass covered by the sprinkler water?

Answers

Answer:

The area of the grass covered by the sprinkler water is approximately 78.54 feet^2

Answer:

78.54 feet

Step-by-step explanation:

10 is the diameter so 5 is the radius,

A = πr2 = π·52 ≈ 78.53982

If the volume of a rectangular prism was 45 cubic feet, what would be the volume of a rectangular pyramid with the same area base and height as the prism?

Answers

Answer:

1/3 of 45 = 15 cubic feet

Step-by-step explanation:

volume of rectangular prism = (B)(h)

volume of rectangular pyramid = 1/3(B)(h)

Help needed Asap on calc practice problems

Answers

Answer:

Integrate from 3 to 1 and then you should get 4/3

So C.

P = kQ
a) direct
b) inverse
c) joint variation
PLEASE HELP!! WILL MARK BRAINIEST!!

Answers

99% sure this is joint variation.

Please help me solve this step by step please :(

Answers

Answer:

B) 60.21 ft²

Step-by-step explanation:

Area of a triangle = 1/2bh

You can‘t used mixed measurements (feet and inches), so you have to convert each length to inches

8’6”=102’

14’2”=170’

Now find the area

1/2 x 102 x 170 = 8670 in²

This is one of the answers, but the quetion asks how many quart feet you need.

So, convert it back to feet.

8670 x 0.06944444444 = 60.2083333

(You could also have converted the two lengths to feet. 8’6” = 8.5 ft.  14’2” = 14.16666666.  This way would probably have been faster.

1/2 x 8.5 x 14.166666 = 60.20833333)

i have two bags of marbles. The first bag contains 4 red marbles, 2 blue marbles, and 3 green marbles. The second bag contains 6 red marbles, 3 blue marble, and 6 green marbles. I will randomly select one marble from each bag.

What is the probability that i will select a green
marble from each bag?
A.2/15
B.1/135
C.1/3
D.11/15​

Answers

Answer:

1/3

Step-by-step explanation:

You add up the amount in each bag then you take the amount of green then that will be the answer but since there is 2 bags it is 1/3

According to Newton's Second Law, if force equals 17 N and acceleration equals 8 m/s2, what is the mass in kilograms?
Answer as a number, rounded to the nearest thousandth?

Answers

Answer:

2.13kg

Step-by-step explanation:

fnet=ma

17=m(8)

17÷8 =m

2.13=m

Answer:

The mass is 2¹/₈, or 2.125, kg

Step-by-step explanation:

We know that force is equal to mass times acceleration, so given a force of 17 newtons and an acceleration of 8m/s², we can say:

[tex]f = ma\\m = f/a\\m = \frac{17\ N}{8\ m/s^2}\\m = \frac{17\ kg\times m/s^2}{8\ m/s^2}\\m = 17/8\ kg\\m = 2.125 kg[/tex]

giving us a mass of 2¹/₈, or 2.125 kg.

What is $6.977 rounded to the nearest cent

Answers

Answer:

6.98

Step-by-step explanation:

You just round the seven up

Help needed Asap on calc practice problems

Answers

Baje a spebdeka jajajqu

Add using Scratch Addition. 45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 3​

Answers

92836393749484037403

Answer:

1302

Step-by-step explanation:

i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks

Answers

81+54x because 9 *9 = 81 and 9*6 is 54 and add the x to it and put it all together.

to give someone a crown there has to be 2 answers and it will show up and you can mark the brainliest. you’re welcome :))

plot two points that are seven units from point c and also share the same y coordinates as point c

ANSWER IT QUICK PLEASE.

DUE AT 3:00PM​

Answers

Answer: 8 , -4 I think

Step-by-step explanation:

Answer:

The real answer is (8, -4) and (-6, -4)

whats 1x600 plssssssssssssssssssssssssssssssssssss

Answers

Answer:

600

Step-by-step explanation:

anything times 1 is itself

The answer is 600 because if you do 1x600=600
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