Answer:
9 weeks
Step-by-step explanation:
Assuming he takes equal number of quizzes weekly then having taken 24 quizzes within 4 weeks means for every week Carson took 24/4=6 quizzes per week.
With a target of 54 quizzes this quater and while maintaining 6 quizzes per week then Carson will take 54/6= 9 weeks to meet thw target.
Therefore, Carson needs 9 weeks this quater
No that statement is not always true. There is only one solution to this equation.
Answer:I don't either
Step-by-step explanation:
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.
Answer:
√61 ≈ 7.81
Step-by-step explanation:
Distance formula:
√(x₂ - x₁)² + (y₂ - y₁)²
√(2 - (-4))² + (5 - 0)²
√(2 + 4)² + 5²
√6² + 5²
√36 + 25
√61
