Answer:
40 mph
Step-by-step explanation:
you take your miles 160 and divide them by 4 which is going to be 40
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
1+tan^2(A) = sec^2(A) [Pythagorean Identities]
tan^2(A)cot(A) = tan(A)[tan(A)cot(A)] = tan(A)[1] = tan(A)
*see photo for complete solution*
Answer:
3/2
Step-by-step explanation:
Apply exponent rule: a^-1 = 1/a
(2/3)^1 = 1/2/3
Apply the fraction rule: 1/a/c = c/b
3/2
How do I convert these improper fractions to mixed numbers: 29/4, 13/6, 73/9, 65/8, 17/2, 5/2, 25/4, 43/7, 29/4, 73/9, 19/3, 43/
slava [35]
Divide the numerator by the denominator
use the answer as the whole number
use the remainder as the numerator
keep the deniminator
the answers:
7 1/4
2 1/6
8 1/8
8 1/2
2 1/2
6 1/4
6 1/7
7 1/4 (same question)
8 1/8 (same question)
6 1/3
2 1/5
9 1/10
6 1/6
