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lubasha [3.4K]
2 years ago
6

What is the effect on the graph of the function f(x) = 5xl when f(x) is changed to f(x – 5)?

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
6 0

A change to the inside of the function notation is always a left/right or horizontal change to the graph.

Answer: A

Subtracting 5 actually shifts the graph to the right by 5 units.  It's counter-intuitive and there are many ways to explain why it's the opposite of what you think it'd do, but it is a shift to the right by 5 units.

PS

A change outside the f(x) notation is an up/down or vertical change to the graph.

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If the function rule is to divide by 10, and there is an output value is 7.2, what is the input value?
Sergeeva-Olga [200]
The answer is:  "72" .
______________________________________________
 (input value, or "x")  / 10 = y  = f(x);

When y = 7.2, what is the value of "x" ?


x / 10 = 7.2 ;

x = (7.2) * 10 = 72 .
_______________________
6 0
3 years ago
A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
7 0
3 years ago
How to solve -6<-2x<14
algol13
Hey there! :) 

-6 < -2x < 14

We're trying to solve for x. To solve for x, we must isolate x.

So, let's divide everything by -2!

-6 ÷ -2 < -2x ÷ -2 < 14 ÷ -2

**Remember : when dividing by a negative number, you MUST switch the sign! So, if the sign is ">" then we switch it to "<" and the other way around **

3 > x > -7

So, our answer is : → 3 > x > -7

~Hope I helped!~
4 0
3 years ago
If g(x) = -2x - 2, find g(-2x).​
USPshnik [31]

Answer:

2

Step-by-step explanation:

You would replace the x with -2x so you would end up with -2×-2 and that is 4 then minus 2 is 2.

7 0
2 years ago
If x = (1,2,3), y = (1,3,6,9,12)
solong [7]
X=c-b/a  this what i came up with
4 0
3 years ago
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