They want you to find the composite function and they evaluate it at a give value for x...first the composite function...
f(g(x))=(x-1.5)^2+3(x-1.5)+6
f(g(x))=x^2-3x+2.25+3x-4.5+6
f(g(x))=x^2+3.75, this is the completed composition function...now:
f(g(1)=1+3.75=4.75
Answer:
1:5
Step-by-step explanation:
Answer:
<em>The third side of the triangle must have a length between 23 yd and 41 yd.</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:
32 - 9 < x < 32 + 9
23 < x < 41
The third side of the triangle must have a length between 23 yd and 41 yd.
Answer:
Each costume will take 7 1/3 yards of green fabric
Step-by-step explanation:
They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.