Answer:
see explanation
Step-by-step explanation:
Given
x +
≤ - 3 or x - 3 > - 2
Solve the left and right inequalities separately, that is
x +
≤ - 3 ( isolate x by subtracting
from both sides )
x ≤ - 3 -
, that is
x ≤ -
-
, thus
x ≤ - 
OR
x - 3 > - 2 ( isolate x by adding 3 to both sides )
x > 1
Solution is
x ≤ -
or x > 1
Answer:
part A: expression 1: 6(8m+2)
expression 2: 6m+12+42m
Part B: 6(m+2+7m)= 6(8m+2)
combine like terms is 6(m+2+7m), so it is 6(2+8m) or 6(8m+2)
6(8m+2)= 6(8m+2)
Part C: 6m+12+42m=6(m+2+7m)
m=0
6(0+2+7(0))=6(0)+12+42(0)
6(2)= 12
12=12
Answer:
y = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = 
sin45° =
= 
Multiply both sides by y
y × sin45° = 9, that is
y ×
= 9
Multiply both sides by 
y = 9
There are 81 girls to every 72 boys in total, which can be represented by 81/72, which put into decimal form, is 1.125. If you then take the number of boys in the group, 16, and multiply it by this number (because the problem states that the ratio is constant) you can find the number of girls in the group.
16*1.125=18
So there are 18 girls in a group with 16 boys.
Answer:
The answer is 2
From the function when the input is 2 the output is -7. The inverse reverses the order so the input will be -7 and the output will be 2.