Write the equation of the line that passes through the points (0,7) and (-4, -9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

y=4x+7

First we need to figure out the slope. We can do that using the equation (y2-y1)/(x2-x1). Substitute your numbers in for the xs and ys:

(-9-7)/(-4-0)=

-16/-4=

4

Now that we have the slope, we can figure out the intercept by using the equation y=mx+b and substituting one of the points in for x and y, the slope in for m, and solving for b.

I’m going to use (0,7) as it will be faster:

7=4(0)+b

7=0+b

7=b

The full equation will then be:

y=4x+7

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours