x + 3 < 4x - 12 or 4x - 12 < 20
<u>-x </u> <u> -x </u> <u> +12 </u> <u>+12 </u>
3 < 3x - 12 or 4x < 32
<u> +12</u> <u> +12 </u> <u> ÷4 </u> <u>÷4 </u>
15 < 3x or x < 8
<u> ÷3</u> <u>÷3 </u>
5 < x
5 < x < 8
Graph: 5 o---------------o 8
Answer:
See below
Step-by-step explanation:
<u>Part A</u>
A vertical stretch takes place when
given that 
<u>Part B</u>
A vertical compression takes place when
given that 
<u>Part C</u>
A vertical stretch is different than a horizontal compression:
- In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
- In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor
<u>Part D</u>
A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of
must be negative such that
as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.
F(1)=2(1)-1
f(1)=2-1
f(1)=1
You are rigth because it just said that it is
Answer:
3a. 8t + 12c = 72
3b. t + c = 7
Step-by-step explanation:
number of tapes is t
number of Cds is c
so 8t + 12c = 72
and t + c = 7
so t = 7 - c
replace t = 7 - c in to the first equation
8(7 - c) + 12c = 72
56 - 8c + 12c = 72
4c = 72 - 56 = 16
c = 4
if c = 4, then t = 7 - c = 7 - 4 = 3