Solve it by Substitution
1 answer:
30 in each bus. 17 in each van
To solve this problem, we first have to create a system of equations. After that, you set the equations equal to each other, and use that to simplify and find the value of one variable. Once that is found that answer can be plugged into one of the two original equations to find the other variable.
To solve this problem, we first have to create a system of equations. After that, you set the equations equal to each other, and use that to simplify and find the value of one variable. Once that is found that answer can be plugged into one of the two original equations to find the other variable.
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Answer:x= 8/√3, y= 16/ √3
Step-by-step explanation:
See the picture below
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
