1) 8 + 4 = -5 + 7
12 = 2
FALSE
2) y = -11x + 4
(0, -7): -7 = -11(0) + 4 ⇒ -7 = 0 + 4 ⇒ -7 = 4 False
(-1, -7): -7 = -11(-1) + 4 ⇒ -7 = 11 + 4 ⇒ -7 = 15 False
(1, -7): -7 = -11(1) + 4 ⇒ -7 = -11 + 4 ⇒ -7 = -7 True
(2, 26): 26 = -11(2) + 4 ⇒ 26 = -22 + 4 ⇒ 26 = -18 False
Answer: C
3) Input Output
0 0
<u> 1 </u> 3
2 <u> 6 </u>
3 9
<u> 4 </u> <u> 12 </u>
5 15
6 <u> 18 </u>
Rule: input is being added by 1, output is 3 times x
4) c = 65h
5) 2x = -6
x = -3
6) 8j - 5 + j = 67
9j - 5 = 67 <em>added like terms (8j + j)</em>
<u> +5</u> <u>+5 </u>
9j = 72
j = 8
7) y = mx + b
<u> -b</u> <u> -b </u>
y - b = mx
<h3>x = 60</h3><h3>y = 60</h3>
x° + 2y° = 180° ⇒ 2y° = 180° - x°
x° = 60° {three sides of the same lengh, means three angles=60°}
2y° = 180° - 60°
2y° = 120°
y° = 60°
The one way to determine factors of x³ + 11x² – 3x – 33 will be 
.
<h3>What is a factorization?</h3>
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
We will find the final solution as .
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be .
To learn more about the factorization refer to the link;
brainly.com/question/24182713
Answer:
D) 40 miles
Step-by-step explanation:
First we must find the distance between the mall and the house. The figure formed is a right triangle. The length of the side from the mall to the house forms the hypotenuse of the triangle. We can use the Pythagorean theorem to find the length:
a² + b² = c²
The two legs of the triangle, a and b, are 15 and 8:
15² + 8² = c²
225 + 64 = c²
289 = c²
Take the square root of each side:
√289 = √(c²)
17 = c
This makes the total distance
15+8+17= 40 miles
