Answer:
(f - g)(x) = -8x²
(f - g)(2) = -32
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -10x² - x
g(x0 = -2x² - x
(f - g)(x) is f(x) - g(x)
(f - g)(2) is f(2) - g(2)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = -10x² - x - (-2x² - x)
- Distribute -1: (f - g)(x) = -10x² - x + 2x² + x
- Combine like terms: (f - g)(x) = -8x²
<u>Step 3: Evaluate</u>
- Substitute: (f - g)(2) = -8(-2)²
- Evaluate: (f - g)(2) = -8(4)
- Multiply: (f - g)(2) = -32
And we have our answers!
Answer:

Step-by-step explanation:
Both triangles in this figure are similar. Therefore, we can set up the following proportion:
.
Cross-multiply to solve:
.
No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.
Trigonometry would help with this question.
The area of a regular hexagon is ((3√3)s^2)/2 where s is the side.
Plugging in 2 gives us 6√3 or 10.39 feet.
Answer:
Step-by-step explanation:
the range is written as (min y value, max y value)
the domain is written as (min x value, max x value)
question 6
the min y value on the picture is -3, while the arrows point upward, so the max is infinity, so the domain is [-3,∞), with a bracket on -3 because -3 is included
[-3,∞)
question 7
the min x value is the leftmost point, which is at x = -3, while the max is the rightmost point at x = 3, and both are included in the domain so there should be brackets on both
[-3,3]
question 8
the arrow on the left points to the left and up infinitely, so the min is -∞, the arrow on the right points to the right and up infinitely, so the max x value is ∞
(-∞,∞)
question 9
the min value is the bottommost point at y = -2, and the arrow points upward infinitely so the max y value is ∞
[-2,∞)
question 10
the arrow on the left points to the left infinitely so the min x value is -∞, the arrow on the right points to the right infinitely so the max x value is ∞
(-∞,∞)