Answer:
y = -2x + 7
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 7 / 1 - 0
-2 / 1
= -2
y = -2x + b
5 = -2(1) + b
5 = -2 + b
7 = b
Answer:
hope this help you
Step-by-step explanation:
Simplifying
X + -7y = -11
Solving
X + -7y = -11
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '7y' to each side of the equation.
X + -7y + 7y = -11 + 7y
Combine like terms: -7y + 7y = 0
X = -11 + 7y
Simplifying
X = -11 + 7y
------------------------------------------------------------------------------------------------------------
Solving
5x + 2y = -18
Solving for variable 'x'.
Add '-2y' to each side of the equation.
5x + 2y + -2y = -18 + -2y
Combine like terms: 2y + -2y = 0
5x = -18 + -2y
Divide each side by '5'.
x = -3.6 + -0.4y
Simplifying
x = -3.6 + -0.4y
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
_____
<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
Answer: 17 shifts each day
Step-by-step explanation:12 3/4 decided by 3/4 is 17