Answer:
Substitute the functions and the value of the functions.
Step-by-step explanation:
Doing all will be long, so i'll present a and d
Here,(no a)
f(x)=3x-1, g(x)=x^2+2
Now,
f(g(x))=f(x^2+2)=3(x^2+2)-1=3x^2+6-1=3x^2+5
g(f(x))=g(3x-1)=(3x-1)^2+2=9x^2-6x+1+2=9x^2-6x+3
Here, (no d)
f(x)=x^2-9, g(x)=√(x+4)
Now,
f(g(x))=f(√(x+4))=(√(x+4))^2-9=x+4-9=x-5
g(f(x))=g(x^2-9)=√(x^2-9+4)=√(x^2-5)
Answer:
Part A: It would be a rectangle because the top face is a triangle and since the cut is parallel it would be the same shape.
Part B: It would be a rectangle because the faces that are perpendicular to the base of the rectangle are rectangles so the cut would be the same shape.
Note: The perpendicular sides look like squares, but you do not want to assume that they are squares unless it is stated.
Step-by-step explanation:
Jane has 20 pounds and Charlotte has 16 pounds
Let j = amount Jane has and c = amount Charlotte has
j - 2 = c + 2 if Jane gives Charlotte 2 pounds
j + 4 = 2(c - 4) if Charlotte gives Jane 4 pounds
j + 4 = 2c - 8
Subtract equation 1 from equation 3
6 = c - 10
c = 16
j = c + 4 = 20
A#b = 2a(7-b)
(2#5)#3
Let us look at the parentheses first.
2#5 = 2*2(7-5)
= 4(2)
= 8
Now the equation becomes 8#3
8#3 = 2*8(7-3)
=16(4)
= 64
The value is 64. Hope this helps!
