What is the product of the functions f(x)=x^2 and g(x)=x-8?

Answers

Answer 1

Answer: (f . g) (x) = x^2 * (x-8) = x^3 - 8x^2

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if Justin is 2 years older than ethan and in 9 years the sum of their ages will be 38 how old are they now? Can someone please help me with this question

Answers

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1. Triangle STU is shown on the coordinate plane below. Triangle STU is transformed using the rule (x, y) -> (x+4, y-2). In the image of the transformation, triangle S'T'U', what is the x-coordinate of S'?

Answers

Using translation concepts, considering S(2,-1), the x-coordinate of S' is given by 6.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule is given by:

(x, y) -> (x+4, y-2).

Considering S(2,-1), 4 is added to the x-coordinate in the translation, hence:

2 + 4 = 6.

The x-coordinate of S' is given by 6.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

Need some help (I get like no change back at all I just want to know the process of doing this)Im usually good at math but congratulations stupid problem you've done me wrong.lol1.
Wonderland Water Park
The Coaster $4.50
The Slide $4.00
The Drop $3.50

You and three friends are going to Wonderland Water Park. Your group plans to ride each water ride twice. Prices are shown in the table above.

How much change will you get back from a $100 bill?

(Points : 1)
$96
$76

$24
$12
I got 96 and that's only 4 dollars change I figured it out silly me no I didn't man im all jacked up lol I got it the answers 76 wow yaaaa me

Answers

(you and 3 friends so we have 4 person
The group plans to ride each water ride twice.
so for each person we will pay 2(4.5+4+3.5)=2*12=24$
and for 4 person 24*4=96$
100-96=4$
Answer: 4$)

but looking on gaven answers i understood that each person pay only for himself!
so you paid 24$ and will get back 100-24=76$
Answer: 76$

Someone please help I have a quiz Tommorow please explain how to do this

Answers

I hope this helps you

Solve each system of equations using substitution. Show all work.1) y = 2x - 5
4x - y = 7

2) 2x - 3y = 12
x = 4y + 1

3) y = 5 - x
x - 4y = 10

Answers

1.
y=2x-5
sub that for y
4x-(2x-5)=7
distribute
4x-2x+5=7
2x+5=7
2x=2
x=1
sub back
y=2x-5
y=2(1)-5
y=2-5
y=-3

(1,-3)

2. x=4y+1
sub that for x
2(4y+1)-3y=12
8y+2-3y=12
5y+2=12
5y=10
y=2
sub back
x=4y+1
x=4(2)+1
x=8+1
x=9

(9,2)

3. y=5-x
sub that for y
x-4(5-x)=10
x-20+4x=10
5x-20=10
5x=30
x=6
sub back
y=5-x
y=5-6
y=-1
(6,-1)

soluitons

1. (1.-3)
2. (9,2)
3. (6,-1)

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