Answer:
- a) 6.5 seconds
- b) 13 seconds
- c) 679 ft
Step-by-step explanation:
<u>Given function:</u>
a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:
- h = -208/2(-16) = 6.5 seconds
b) <u>Time the ball was in the air:</u>
Solving we get approximately t = 13 seconds
c) <u>Maximum height is at vertex, we found t above:</u>
- h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
Answer:
x = - 9, x = 10
Step-by-step explanation:
Given
x² - x - 90 = 0
Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)
The factors are - 10 and + 9, since
- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus
(x - 10)(x + 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 9 = 0 ⇒ x = - 9
lesser x = - 9
greater x = 10
Answer:
´The variance is 10000
Step-by-step explanation:
The variance is defined as the square of standard deviation, consequently it is as follows:
σ^2=
σ^2=10000
<span>for writing 32.043, we first should know more information about such a number, 32.043 is a decimal number, 32 is called the integer part, and 043 is decimal part. So every decimal number can be written as a sum of two or more another decimal numbers, for example, 32.043= 30 + 2 + 0.04 + 0.003.</span>
Answer:
(0,0)
Step-by-step explanation:
If the line is crossing the origin then that means both the x and y intercepts are (0,0)