Answer:
n = -6
Step-by-step explanation:
<u>Step 1: Divide both sides by 4</u>
4n / 4 = -24 / 4
n = -6
Answer: n = -6
Answer:
The domain of f is {x : x ∈ R, -7 ≤ x ≤ 7} ⇒ [-7, 7]
Step-by-step explanation:
<em>The domain of a function is </em><em>all the values of x</em><em> make the function defined</em>
In the given graph
∵ The graph drawn from x = -7 to x = 7 and from y = -6 to y = 4
→ That means the values of x started from -7 and ended at x = 7
∵ The coordinates of the starting point of the graph of f are (-7, -5)
∵ The coordinates of the ending point of the graph of f are (7, 3)
∴ -7 ≤ x ≤ 7
∵ Values of x are the domain of the function
∴ The domain of the function is -7 ≤ x ≤ 7
∴ The domain of f = {x : x ∈ R, -7 ≤ x ≤ 7} ⇒ [-7, 7]
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
Answer:
the answer would be a
Step-by-step explanation
you would have to travel a shorter distance to get from katies house to the gasstation.
First find the side lengths of the box by factoring each area:
12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
20: 1, 2, 4, 5, 10, 20
Find 3 numbers that both have 2 sides have in common and can multiply to make the areas of the faces:
12: 3 * 4
15: 3 * 5
20: 4 * 5
Sides: 3, 4, and 5
Then multiply to get the volume:
3 * 4 * 5 = 60 units^2
