Answer:
x = 0
Step-by-step explanation:
For this problem, we will simply solve the equation by isolating the variable x, to find the value of x.
2(-6x - 4) + 3 = 3(3x - 3) + 4
2*(-6x) + 2*(-4) + 3 = 3*(3x) + 3*(-3) + 4
-12x + -8 + 3 = 9x + -9 + 4
-12x + -5 = 9x + -5
12x + -12x + -5 = 12x + 9x + -5
-5 = 21x + -5
5 + -5 = 21x + -5 + 5
0 = 21x
0 = x
Hence, in this equation, the value of x is 0.
Cheers.
Let
x-----> the time in minutes
y------> the number of gallons of water
we know that
the unit rates is equal to

the unit rate is equal to the slope of the linear equation
then

<u>Problem</u>
1) How many gallons of water will Elyse use in three minutes in the shower?
For x=3 minutes
substitute in the equation above



<u>the answer is</u>
12.6 gal
Answer:
x g(x + 2)-1 h(x)
-2 g(-2+2)-1 -1
-1 g(-1+2)-1 0
0 g(0+2)-1 1
1 g(1+2)-1 2
2 g(2+2)-1 3
Part A: 3
Part B: -1
Step-by-step explanation:
When you have questions like these all you have to do is plug in and solve.
For example I will do h(2) & h(-2) for reference.
<em><u>h(2):</u></em>

<em><u>h(-2):</u></em>

Answer:
2
Step-by-step explanation:
Answer:
The length is 48
The width is 20
Step-by-step explanation:
When 2 rectangles (figures) are similar, the ratio of corresponding sides are equal.
This rectangle is 5 by 12, so the shorter side (corresponding to 5) to the longer side (corresponding to 12) would be the same ratio, 5:12.
Let shorter side be s, and
longer side be l
It says, long side is 8 greater than twice short, we can write this as:

In similar rectangles, we have said the corresponding sides' ratio are equal, so we could write:

Now, we replace the new found expression for "l" onto this and cross multiply and solve for s first:

So the shorter side is 20. and hence the longer side would be:
l = 2s + 8
l = 2(20) + 8
l = 40 + 8
l = 48
The longer side is 48.
The length is 48
The width is 20