The table shows the relationship y=kx. what is the constant proportion, k?
2 answers:
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Part A
See the image labeled "part A". We'll use the values marked in blue and red for f(2) and g(2) respectively. These values are the function outputs when the input is x = 2.
(f-2g)(x) = f(x) - 2*g(x)
(f-2g)(2) = f(2) - 2*g(2)
(f-2g)(2) = 1 - 2*3
(f-2g)(2) = -5
Answer: -5
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Part B
See the image labeled "part B". We'll use the values marked in blue and red for g(-1) and f(0) respectively.
We have to start with g(-1) and then chain it to finding f(0) afterward.
g(-1) = 0
f(g(-1)) = f(0) = 9
Answer: 9
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Part C
See the image labeled "part C". We'll use the values marked in blue and red for g(-2) and g(-3) respectively.
Because g(-2) is the innermost function, it must go first, then g(-3) can go next.
g(-2) = -3
g(g(-2)) = g(-3) = 8
Answer: 8
Answer:
y-intercept = (0, ).
Step-by-step explanation:
Given the linear equation in standard form, 12x + 13y = 8:
We must transform this equation into slope-intercept form to make it easier to determine the coordinates of the y-intercept.
12x + 13y = 8
Subtract 12x from both sides:
12x + 13y - 12x = - 12x + 8
13y = - 12x + 8
Next, divide both sides of the equation by 13 to solve for y:
or
Next, to determine the y-intercept, we must set x = 0 (because the y-intercept is the point where the graph of the linear equation crosses the y-axis).
Let x = 0:
Therefore, the value of y when x = 0 is . This is the y-intercept, and its coordinate is (0,
).