<span>y - 6 = 5(x - 2)
As you know y - y1 = m(x - x1) where m = slope
in this case </span>y- 6 = 5(x - 2), m = 5
Answer: Slope m = 5
Considering the given regression equation, the number of weeks that will pass before the value of the stock reaches $600 is of:
B. 8.3.
<h3>What is the regression equation?</h3>
The value of the stock y after x weeks is given as follows:
log(y) = 0.3x + 0.296.
We have to solve for x when y = 600, hence:
log(600) = 0.3x + 0.296
0.3x = 2.7782 - 0.296
x = (2.7782 - 0.296)/0.3
x = 8.3 weeks.
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<h3>
Answer: 144 Joules </h3>
Steps Shown:
Work = Force * Displacement
Work = (36 Newtons)*(4 meters)
Work = (36*4) Newton meters
Work = 144 Newton meters
Work = 144 Joules
Note: The displacement must point in the same direction as the force applied.
Answer:
Concept: Modeling expressions
- We are given the equation

- We want to find the time after 0.75 seconds given that t is represented in seconds.
- Hence we do

- Hence we get the answer to 191 feet
Answer:
Simplifying
(5n + -3) + -1(-2n + 7) = 0
Reorder the terms:
(-3 + 5n) + -1(-2n + 7) = 0
Remove parenthesis around (-3 + 5n)
-3 + 5n + -1(-2n + 7) = 0
Reorder the terms:
-3 + 5n + -1(7 + -2n) = 0
-3 + 5n + (7 * -1 + -2n * -1) = 0
-3 + 5n + (-7 + 2n) = 0
Reorder the terms:
-3 + -7 + 5n + 2n = 0
Combine like terms: -3 + -7 = -10
-10 + 5n + 2n = 0
Combine like terms: 5n + 2n = 7n
-10 + 7n = 0
Solving
-10 + 7n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 7n = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 7n = 0 + 10
7n = 0 + 10
Combine like terms: 0 + 10 = 10
7n = 10
Divide each side by '7'.
n = 1.428571429
Simplifying
n = 1.428571429