Answer:
The answer is A
Step-by-step explanation:
Answer:
Step-by-step explanation:
56
Surface area of a cuboid
= [2(length)(width)] + [2(width)(height)] + [2(height)(length)]
= {[2(4)(2.5)] + [2(2.5)(2)] + [2(2)(4)]} units²
= (20 + 10 + 16) units²
= 46 units²
Answer:
a. 2^(x-2) = g^(-1)(x)
b. A, B, D
Step-by-step explanation:
the phrasing attached in the image is flagged as inappropriate, so i will be replacing it with g(x) and its inverse with g^(-1)(x)
1. replace g(x) with y and solve for x
y = log₂(x) + 2
subtract 2 from both sides to isolate the x and its log
y - 2 = log₂(x)
this text is replaced by the second image -- it was marked as inappropriate
thus, 2^(y-2) = x
replace x with g^(-1)(x) and y with x
2^(x-2) = g^(-1)(x)
2. plug this in to points A, B, C, D, E, and F
A: (2,1)
plug 2 in for x
2^(2-2) = 2⁰ = 1 so this works
B: (4, 4)
2^(4-2) = 2²= 4 so this works
C: (9, 3)
2^(9-2) = 2⁷ = 128 ≠ 3 so this doesn't work
(5, 8)
2^(5-2) = 2³ = 8 so this works
E: (3, 5)
2^(3-2) = 2¹ = 2 ≠ 5 so this doesn't work
F: (8, 5)
2^(8-2) = 2⁶ = 64 ≠ 5 so this doesn't work
Answer:
x = 4
y = -2
Step-by-step explanation:
x + 10y = -16
-x -4y = 4 <-- ( multiplied x+4y=-4 with -1 so the x's cancel)
6y = -12
y = -2
put -2 back in the equation to get x
x + 10y = -16
x -20 = -16
x = 4