3. g(x) = (x+2)/ |x+2| the denominator cannot be 0
|x+2| cannot be 0
x cannot equal -2
Domain all real numbers but -2
g(-1) = (-1+2)/ |-1+2| = 1/|1| = 1
4. h(x) = (x-4)/(x^2+5x-36)
factor the denominator
h(x) = (x-4)/(x+9) (x-4) the denominator cannot be zero do not cancel, this is a hole
x+9 cannot equal zero so x cannot equal -9
x-4 cannot equal 0 so x cannot equal 4
Domain all real numbers but -9 and 4
h(-1) = (-1-4)/((-1)^2+5(-1)-36) = -5/(1-5-36) = -5/-40 = 1/8
Answer:
432
Step-by-step explanation:
The formula for volume of a rectangular prism is length x width x height
V = lwh
V = 8 x 6 x 9
V = 432
Let x = the length of each side of the square.
Therefore the dimensions of the rectangle are x and x/2.
Because the perimeter of the rectangle is 15 inches, therefore
2x + 2(x/2) = 15
2x + x = 15
3x = 15
x = 5 in.
The perimeter of the square scarf is 4x = 4*3 = 12 in.
The area of the scarf is 3*3 = 9 in²
Answer:
Perimeter = 12 in
Area = 9 in²
Answer:
Melanie = 24 years old
Raymond = 27 years old
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)