Step-by-step explanation:
If a variables varies jointly, we can just divide it by the other variables in relation to it.
For example, since p variables jointly as q and square of r, then

where k is a constant
First, let find k. Substitute p= 200
q= 2, and r=3.



Now, since we know our constant, let find p.

Q is 5, and r is 2.



Answer:
32
Step-by-step explanation:
First you're going to change 20% to a decimal which would be 0.20
Next, multiply .20 by 40
You should get 8
Subtract 8 from 40
You're answer is 32
Answer:
A.
Step-by-step explanation:
Standard form is as follows...
AX^2 + BX + C
- Hope that helped! Please let me know if you need further explanation.
Answer:
B) -x+8y=56
Step-by-step explanation:
y=1/8x+7
Multiply by 8 to clear the fraction
8y = 8(1/8x+7)
Distribute
8y = 8*1/8x +8*7
8y = x+56
Subtract x from each side
-x+8y = x-x+56
-x+8y = 56
Answer:
1/2 is the slope of the line
Step-by-step explanation:
To find slope, use the following equation
slope (m) = (y₂ - y₁)/(x₂ - x₁)
First, set each coordinate. Let:
(x₁ , y₁) = (8 , -6)
(x₂ , y₂) = (4 , -8)
Plug in the corresponding numbers for the corresponding variables.
m = (y₂ - y₁)/(x₂ - x₁)
m = (-8 - (-6))/(4 - 8)
Simplify. Note that two negative signs would result in a positive sign.
m = (-8 + 6)/(4 - 8)
Combine like terms.
m = -2/-4
Simplify. Divide common factors from both the numerator and denominator.
m = (-2/-4)/(-2/-2) = 1/2
1/2 is the slope of the line
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