<h3>
Answer: f(x) = (-1/2)x+1, choice B</h3>
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Explanation:
The diagonal line passes through 1 on the vertical y axis. So the y intercept is b = 1. This means the location of the y intercept is (0,1).
Start at (0,1) and move down 1 and to the right 2 to arrive at (2,0). This is another point on the diagonal line. The motion of "down 1 and right 2" is effectively the slope
slope = rise/run = -1/2
rise = -1, run = 2
The rise being negative means we have gone downhill as we move to the right.
With m = -1/2 as the slope and b = 1 as the y intercept, we go from y = mx+b to y = (-1/2)x+1
The last thing to do is replace y with f(x) to get f(x) = (-1/2)x+1 as the final answer.
The angles shown are supplementary, it means when we add them together, they add up to 180°:
Add like terms:
Divide both sides by 6 in order to isolate x:
The exterior angle is:
The interior angle is:
or
Answer is in the attached figure.
Answer:
n = (-1000/3)p + (97000)/3)
Step-by-step explanation:
The data given says, in effect, that the linear equation based on price passes through 2 points (82, 5000) and (91, 2000), given two points on a line, we'll use the point-slope form to start. To use this we must first find the slope
m = (y2 - y1) / (x2 - x1) = (2000 - 5000) / (91 - 82) = -3000 / 9 = -1000/3
(I like to leave slopes as fractions <rather than decimal> since fractions are more accurate)
point-slope form
y - y0 = m(x - x0) at some point (x0, y0) with slope m, we'll use (91, 2000)
y - 2000 = (-1000/3)(x - 91), distribute
y - 2000 = (-1000/3)x + 91000/3, add 2000 to each side
y = (-1000/3)x +97000/3
oops, substitute p for x and n for y
n = (-1000/3)p + (97000)/3)
Answer:
increase
Step-by-step explanation:
I think that when ice and snow increases there would be less clouds therefore, the Earth will absorbs more radiation.
