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2 years ago

If you apply the changes below to the quadratic parent function, Ax) = x2,

Mathematics

1 answer:

sdas [7]2 years ago

6 0

Answer:

Please use "^" to denote exponentiation.

Start with f(x) = x^2. Shifting the graph of f(x) 1 unit to the left results in

g(x) = (x+1)^2.

Vertically stretching the graph of g(x) by a factor of 3 results in

h(x) = 3(x+1)^2.

Reflecting h(x) over the x-axis results in k(x) = -3(x+1)^2

Step-by-step explanation:

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V=4/3? r^2 Suppose that, for the sphere in the video, instead of being told how fast the radius is changing, we're told that the

grigory [225]

Answer:

$\frac{dr}{dt}=0.01$ cm per second

$\frac{dS}{dt}=320 square centimeter per secondStep-by-step explanation:We are given that volume of sphere [tex]V=\frac{4}{3}\pi r^3$

Volume of sphere is increasing at a constant rate

$\frac{dV}{dt}=4$ cubic centimeters per second

We have to find the rate of radius at which increasing

when r= 10 cm

Differentiating w.r.t time

$\frac{dV}{dt}=\frac{4}{3}\pi\cdot3r^2\frac{dr}{dt}$

$4=4 r^2\frac{dr}{dt}$

$\frac{dr}{dt}= \frac{1}{r^2}=\frac}{1}{(10)^2}=0.01$ cm per second

Now ,we are given that surface area of sphere

$S=4\pir^2$

Differentiate w.r.t time then we get

$\frac{dS}[dt}=8\pir\frac{dr}{dt}$

$\frac{dS}{dt}=8\pi\times 20\times 2$

$\frac{dS}{dt}=320$ cm per second

5 0

3 years ago

How far away can a boy ride on a bicycle if he rides away at 10 kilometers per hour and returns at 9 kilometers per hour? The en

tamaranim1 [39]

Alright, so he went the same distance there and back, but at different speeds

hmm

d=st
d/s=t

total time is 9.5hr

alright

so distance there=distance back we will call both of them d

so

speed there is 10
speed back is 9
total time is 9.5

so
d/sthere+d/sback=totaltime
d/10+d/9=9.5
times both sides by 90
9d+10d=855
19d=855
divide both sides by 19
d=45

he can ride 45mi away

4 0

2 years ago

What is the inverse of y=16x^2+1

AysviL [449]

16x^2+1=y would be the inverse of y=16x^2+1

4 0

3 years ago

Tom is a cashier at HEB, he makes $13.25 per hour. If he works 22 hours this week what will be his gross income?

mamaluj [8]

Answer:

$291.50

Step-by-step explanation:

For 22 hours, he earns 22 times his hourly pay.

22×$13.25 = $291.50

6 0

3 years ago

Please I need help, JUST one problem.<br> I need to show my work please!!

lara31 [8.8K]

Answer:

proved that x=9

Step-by-step explanation:

A line that splits an angle into two equal angles. ("Bisect" means to divide into two equal parts)

so <CAB=<DAB

7x+2=5(x+4)

7x+2=5x+20

7x-5x=20-2

2x=18

x=9

7 0

3 years ago