Answer:
Step-by-step explanation:
<h3>
Answer: Choice A) -10.73</h3>
Work Shown:
Plug x = 4.3 into the equation given
ŷ = 2.6 − 3.1x
ŷ = 2.6 − 3.1(4.3)
ŷ = 2.6 − 13.33
ŷ = -10.73
Note: The symbol ŷ is read as "y hat". It's used to estimate the y value when it comes to regression equations.
y = 5x + 4 is the equation of the line whose slope is 5 and y intercept is (0,4)
<em><u>Solution:</u></em>
Given that, we have to write the equation of the line whose slope is 5 and y intercept is (0,4)
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ---- eqn 1
Where, "m" is the slope of line and "c" is the y - intercept
Given that, slope = m = 5
y intercept is (0, 4)
So, c = 4
<em><u>Substitute c = 4 and m = 5 in eqn 1</u></em>
y = 5x + 4
Thus the equation of line is found
x+y=23
x-y=5
First, add the equations.
2x=28
x=14
Then...
14+y=23
y=9
Therefore the answer is...
x=14 y=9
Part A: Find the area of the circle of spilled milk as a function of time, or A[r(t)].
A(r(t)) = A(4t) = π(4t)^2 = 16πt^2
A[r(t)] = 16πt^2
Part B: How large is the area of spilled milk after 4 minutes? You may use 3.14 to approximate π in this problem.
After 4 minutes, A = 16(3.14)(4)^2 = 803.84 cubic meters.
