Answer:
The value of x is 20°
Step-by-step explanation:
Given that angle in a straight line is 180°. Then you can find the value of x:
55° + (6x+5)° = 180°
55° + 6x + 5° = 180
6x + 60° = 180°
6x = 180 - 60
6x = 120°
x = 20°
Hi Larry
x^3 - 168 = [ 24(x-2)] / 2
x^3 - 168 = (24x - 48)/2
x^3 - 168 = 12x - 24
Subtract 12x - 24 to both sides
x^3 - 168 - (12x - 24) = 12xx - 24 - (12x - 24)
x^3 - 12x - 144 = 0
Now, factor the left sides
(x - 6)(x^2 + 6x + 24) = 0
Set factors equal to 0
x - 6 = 0 or x^2 + 6x + 24 = 0
x = 0 + 6 or x^2 + 6x + 24 - 0
x = 6
Answer : X = 6
Good luck !
Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
<h2>
Answer:</h2>
<u>Question 10:</u>
21.75 ÷ 30 = 0.725
Move the decimal backwards 2 times
72.5
<em>Answer: </em>72.5%
<u>Question 11:</u>
Sales: $768
Commission Rate: 4%
Commission: $30.72
768 x 4 = 3,072
3,072 ÷ 100 = 30.72
<em>Answer:</em> $30.72
<u>Question 12:</u>
Selling Price: $39.98
Tax Rate: 4.5%
Sales Tax: $1.80
39.98 x 4.5 = 179.91
179.91 ÷ 100 = 1.7991
Then you round to the thousandths.
1.799
1.8
<em>Answer:</em> $1.80
<u>Question 13:</u>
20% x 141 = 28.2
141 + 28.2 = 169.2
<em>Answer:</em> $28.20 gratuity is added to the bill.
