For each increment in x, the output is multiplied by 2. The function could be written the way a geometric sequence can be written:
... f(x) = 5·2^(x-1)
Or, it could be simplified to ...
... f(x) = (5/2)·2^x
The first 5 terms will be
... 5, 10, 20, 40, 80
<h3>Answer: Choice B) </h3><h3>-6x - 2y = 12</h3>
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Explanation:
The x intercept is (-2,0) which is where the graph crosses the x axis.
The y intercept is (0,-6) which is where the graph crosses the y axis.
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Find the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = (-6-0)/(0-(-2))
m = (-6-0)/(0+2)
m = -6/2
m = -3
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The y intercept (0,-6) leads to b = -6
Both m = -3 and b = -6 plug into y = mx+b to get
y = mx+b
y = -3x+(-6)
y = -3x-6
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Now add 3x to both sides
y = -3x-6
y+3x = -3x-6+3x
3x+y = -6
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Lastly, multiply both sides by -2 so that the "-6" on the right hand side turns into "12" (each answer choice has 12 on the right hand side)
3x+y = -6
-2(3x+y) = -2(-6)
-2(3x)-2(y) = 12
-6x-2y = 12
which is what choice B shows.
Answer:
The angles are 24° and 66°.
Step-by-step explanation:
Let two angles be x and y.
For two complementary angles,
x+y = 90 ...(1)
ATQ,
x-y = 42 ...(2)
We need to find the measures of the angles.
Add equation (1) and (2).
x+y+x-y = 90+42
2x = 132
x = 66
Put the value of x in equation (1)
66+y = 90
y = 90-66
y = 24
So, the angles are 24° and 66°.
So over 4 years, this computer's value will go from 4,500 to 700.
That's a difference of 3,800 over 4 years. Straight-line means the amount is the same every year, so
= 950
So the depreciation expense each year is 950.
Answer:35 and 56
Step-by-step explanation:
