The function is
f(x) = (1/3)x² + 10x + 8
Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
= (1/3)[ (x+15)²- 225] + 8
= (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67
This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).
Answer: The domain is (-∞, ∞)
Answer:
that is the solution
Step-by-step explanation:
it cannot be simplified
Answer:
$843.67
Step-by-step explanation:
1% = 7.8848
7.8848 x 7 = 55.1936
788.48 + 55.1936 = 843.6736
Rounded to nearest cent = $843.67
121 of the green beans will be shorter than 13 centimeters.
First, we need to evaluate the expression below to find the z-score.
(13 - 11.2) / 2.1. = 0.86
The matching percent for this z-score is 0.8051.
Multiplying 0.8051 by 150 gives us about 121 green beans.
Answer:
-4
Step-by-step explanation:
(2^2)3 - (10 - 6) ^2 x 4 - 5 =
(4)3 - (4)^2 x 1 =
12 - 16 x 1 =
- 4 x 1 = -4