Answer:
f(7)=140
Step-by-step explanation:
Answer:
Proportional
Step-by-step explanation:
X=<span>12</span>,<span>−<span><span>12
Let me know if i am right?
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Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
Answer:
10 liters of orange juice, 5 liters of champagne
Step-by-step explanation:
We can call the amount of orange juice and champagne as x and 15 - x liters respectively. Then, we can write the following equation:
1.50 * x + 12 * (15 - x) = 5 * 15
1.5x + 180 - 12x = 75
-10.5x + 180 = 75
-10.5x = -105
x = 10 so 15 - x = 15 - 10 = 5.