Compare the graph h(x)=1/4x^2 to the graph of f(x) = x2.

Answers

Answer 1

Answer:

h(x) is the image after f(x) is horizontally stretched by a scale factor of 4

Step-by-step explanation:

Given

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

[tex]f(x) = x^2[/tex]

Required

Compare h(x) to f(x)

We have:

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

Substitute [tex]f(x) = x^2[/tex]

[tex]h(x) = \frac{1}{4}f(x)[/tex]

This means that f(x) is stretched horizontally by a scale factor of 4 to get h(x)


Related Questions

The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance between the cities.

Answers

200 miles. 2.5 divided by 3/4 is 3.33333-, multiplying the given by 60 would give us 199.98, which you can round to 200.

Which of the following is a quadratic function?

Answers

Answer:

A

Step-by-step explanation:

A

when multiplied out

the highest exponent of x is 2

y = 2x² + x - 6

Answer:

option A

Step-by-step explanation:

A quadratic equation is a single variable polynomial of degree 2.

[tex]A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No[/tex]

How many miles is her road trip

Answers

Answer B) 265 miles

She has driven 75 miles per hour for 3 whole hours. To find the miles she has driven multiple the miles per hour and the amount of time she has driven. This is 225.

Then she drove 40 miles per hour for only 1 hour. She only drove 40 miles. Add 225 + 40. This gives you 265 miles.

Answer:

(B). 265 miles

Step-by-step explanation:

She travelled 75 mph for 3 hours and 40 mph for 1 hour.

Therefore, 75 + 75 + 75 + 40 = 265 miles

If this helps you, please mark brainliest!

I ONLY NEED HELP ON THE FIRST QUESTION SHOWN

Answers

I think the answer should be C , h=A/b

will give brainliest!


Solve for x. Exclude any extraneous solutions:


4/3x+5/4=3/x

Answers

Answer:

x = 4/3

Step-by-step explanation:

[tex]\frac{4}{3x} + \frac{5}{4} = \frac{3}{x}[/tex]

take lcm of the denominator

lcm = 12x

[tex]\frac{4*4 +5*3x}{12x} = \frac{3}{x}[/tex]

[tex]\frac{16+15x}{12x} = \frac{3}{x}[/tex]

do cross multiplication

x(16 + 15x) = 3*12x

16x + 15x^2 = 36x

15x^2 = 36x - 16x

15x^2 = 20x

x^2 = 20x /15

x*x = 4x/3

x = 4x/3/x

x = 4x/3 *1/x

x = 4x/3x

x = 4/3

Make t the subject of this formula.
r = 7 (t + 3)

Answers

Answer:

t= r-21

7

Step-by-step explanation:

r = 7(t+3)

expanding the bracket

r = 7t + 21

bringing t to the left hand side

7t = r - 21

divide both sides by seven

t= r-21

7

Answer:

t = (r/7) - 3

Step-by-step explanation:

Given equation,

→ r = 7(t + 3)

Now the value of t will be,

→ r = 7(t + 3)

→ r = 7t + 21

→ r - 21 = 7t

→ 7t = r - 21

→ t = (r - 21)/7

→ t = (r/7) - 3

Hence, value of t is (r/7) - 3.

write a numerical expression
two hundred fifty-nine mines eighty-five plus sixty-two divided by two

Answers

259-85+62÷2 is the answer

Lines A and B are parallel
A
1
2
50° 4
B
5 6
8
mZ2 = [?]°

Answers

50 by vertical angles

Factorize this expression
qr-qs+pr-ps

Answers

here’s the answer in the picture

Answer:

(q+p)(r-s)

Step-by-step explanation:

qr-qs+pr-ps

q(r-s) + p(r-s)

(q+p)(r-s)

The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?

Answers

Answer:

a) [tex]\=x=36.4inches[/tex]

b) [tex]Median=22[/tex]

c) [tex]Mode=18[/tex]

d) [tex]The\ Mean[/tex]

Step-by-step explanation:

From the question we are told that:

Depths:

18 inches,

20 inches

26 inches

22 inches

85 inches

18 inches

24 inches

Sample size [tex]n=7[/tex]

Summation of all depths

 [tex]\sum d=18+20+26+22+85+18+24[/tex]

 [tex]\sum d=255[/tex]

a)

Generally the equation for Mean is mathematically given by

 [tex]\=x=\frac{\sum d}{n}[/tex]

 [tex]\=x=\frac{255}{7}[/tex]

 [tex]\=x=36.4inches[/tex]

b)

Generally the Median is given by the Middle Number which is

 [tex]Median=22[/tex]

c)

Generally the Mode is given by the Highest occurring Number which is

 [tex]Mode=18[/tex]

with two appearances

Therefore

d)

The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is

 [tex]The Mean[/tex]

Find the values of q, w, and y in this diagram

Plz help I need this fast

Answers

Answer:

[tex]{ \tt{q = 60 \degree}} \\ \\ { \tt{w = 180 - 60 = 120 \degree}} \\ \\ { \tt{y = 180 - 60 - 70 = 50 \degree}}[/tex]

help please

plz plz plz​

Answers

Step-by-step explanation:

Here,

y= 2x

and x € (1,2,3)

now,

when x=1 , when x=2 , when x= 3

y=2x y= 2x y=2x

= 2×1 = 2×2 = 2×3

= 2 = 4 = 6

Therefore, y = (2,3,6)

PLEASE HELP ASAP - ILL GIVE BRAINLEST

GIVE THE WORK FOR IT TP PELASEE!! and 20 points

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

What, if any, was Miguel’s mistake?

Answers

You need to have a picture

a=v2/rSolve the formula for r.

Answers

Answer:

r =v2 /a

Step-by-step explanation:

a=v2/r

ra=v2

r =v2 /a

Answer:

r = [tex]\frac{v^2}{a}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{v^2}{r}[/tex] ( multiply both sides by r to clear the fraction )

ar = v² ( divide both sides by a )

r = [tex]\frac{v^2}{a}[/tex]

An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)

Answers

Answer:

Step-by-step explanation:

This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.

x + 1 = 0 so

x = -1

x - 9 = 0 so

x = 9

We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).

Name the identical triangles and measurement of side BA

Answers

Step-by-step explanation:

BE/BC=BD/BA

tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.

4/(4 + 10) = 5/(5+X) Cross Multiply

4(5+x) = 5(4+10)m

20 +4x=20 +50 subtract 20 from both sides

4x = 50 divide by 4

x =12.5

HELPPP!!! ILL GIVE YOU THE BRAINLIEST IF YOU ANSWER LESS THAN 5 MINS. If APQR - ASTU, which statement must be true?

Answers

Answer:

D.

Step-by-step explanation:

If you look on both triangles, PQ and ST are both and the same spots. (P is in the same spot as S and Q is in the same spot as T.

Help please guys! Thank youuu

Answers

Answer:

Step-by-step explanation:

12b + 1 5c = 420

b ---> number of hour baby sitting

c-----> number of hours cleaning

c = 32 hours

Plugin c = 32 in the equation,

12b + 15*32 = 420

12b + 480 = 420

Subtract 480 from both sides

12 b = 420 - 480

12b = -60

So, This is not a reasonable value.

2) b = 10 hours

Plugin b = 10 hours

12*10 + 15c = 420

120 + 15c = 420

         15c = 420 -  120

         15c = 300

Divide both sides by 15

c = 300/15

c = 20 hours

He has to do cleaning for 20 hours

Yes, It is reasonable value

What is the value of m?
Om=2
Om=3
Om=15
O m=16

Answers

Answer:

m = 3

Step-by-step explanation:

5m + 1 = 3m + 7

2m = 6

m = 3

The value of m in the figure is 3

From the question, line segments GH and HK are congruent.

So, we have:

GH = HK

Substitute known values

5m + 1 = 3m + 7

Collect like terms

5m - 3m = -1 + 7

Evaluate the like terms

2m = 6

Divide both sides by 2

m = 3

Hence, the value of m in the figure is 3

Read more about quadrilaterals at:

https://brainly.com/question/5715879

Can somebody pls help I’ll give brainless

Answers

Answer:

$2

Step-by-step explanation:

bill = $10

tip = 18%

tip amount = tip % of bill

=18/100 * $10

=$180/100

=$1.8

=$2

h(x)=-4x-7, when x=3
h( blank)=blank

Answers

Answer:

h(3)=19

Step-by-step explanation:

it's saying x=3 so -4×3 is -12 and -12 -7 is 19 so the answer is 19

Answer:

hope this helps

Step-by-step explanation:

A candy store owner has 8.32 pounds of jelly beans. If
she puts the jelly beans into 8 jars, how much candy
will go in each jar?

Answers

Answer:

1.04 lbs

Step-by-step explanation:

8.32 lbs / 8 jars=

1.04 lbs per jar

A man has twin sons of equal height. The combined
height of the man and one son is 180cm. The
combined height of the man and both sons is
252cm. Twice the man's height added to the height
of one son would be

Answers

Answer:

son weight = 72

Step-by-step explanation:

D + S = 180

D + 2S = 252

S=252-180

S = 72

D= 108

Solve the system of equations by graphing.
x + y = -9
4x + y = -19

Answers

Answer:

(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )

Step-by-step explanation:

x + y = -9    --> y = -x -9  

4x + y = -19 --> y = -4x - 19

Graph accordingly.

Can someone help me? It's urgent and thank you!

Answers

Answer:

its c trust me. ive seen some stuff like this before

Can someone explain how to do this?

Answers

Answer:

x = 32°

Step-by-step explanation:

The two angles form a straight line, so therefore they are supplementary.

The sum of supplementary angles always equal 180°, so we know that:

(3x - 4) + (3x - 8) = 180°

Now you have the equation, solve for x.

3x - 4 + 3x - 8 = 180°

6x - 12 = 180°

6x = 192°

x = 32°

Answer:

3x-4+3x-8=180

3x+3x=180+4+8

6x=192

x=32

check: 3(32)-4+3(32)-8=180

uhmmmmmmmmmmmmmmmmmmmmm

Answers

Step-by-step explanation:

l=✓9²+4²

l=√81+16

l=✓97

What is the value of x in the equation 6 +4x = 7

Answers

Answer:

x = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

6 + 4x = 7 ( subtract 6 from both sides )

4x = 1 ( divide both sides by 4 )

x = [tex]\frac{1}{4}[/tex]

Answer:

x = 1/4

Step-by-step explanation:

6 +4x = 7

collect terms

4x = 7 - 6

4x = 1

Divide both sides by 4

x = 1/4

Bye ! :-)

four terms in the sequence an are a3=15, a4=19, a5=23, and a6=27 which function can be used to find the nth term in the sequence

Answers

Answer:

an = 4n + 3

Step-by-step explanation:

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