Answer: x - 12 is not a factor.
Step-by-step explanation:
The equation
x³ - 4x² - 4x + 16
To know which of the following is a factor , we continue to find the value of x and substitute into the equation and see the one that gives zero. The one that gives zero is the factor.
(a) x + 2
If x + 2 = 0
x = -2, now substitute for x in the equation and find out if it will be zero.
x³ - 4x² - 4x + 16 = (-2)³ - 4(-2)² - 4(-2) + 16.
= -8 - 16 + 8 + 16
= 0.
Therefore, x + 2 is a factor.
(b) x - 12
If x - 12 = 0, then x = 12
x³ - 4x² - 4x + 16
(12)³ - 4(12)² - 4(12) + 16
1728 - 576 - 48 + 16
= 1,120 , not a factor.
(c) x - 2
If x - 2 = 0, then x = 2
x³ - 4x² - 4x + 16
(2)³ - 4(2)² - 4(2) + 16
8 - 16 - 8 + 16
= 0, Therefore, x - 2 is a factor.
(d) x - 4
If x - 4 = 0, x = 4
x³ - 4x² - 4x + 16
(4)³ - 4(4)² - 4(4) + 16
48 - 48 - 16 + 16
= 0,therefore, x - 4 is also a factor.
Answer:
152.99 m
Step-by-step explanation:
Using the solution diagram attached below :
We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;
Tan θ = opposite / Adjacent
Tan 24 = h / 340
h = tan 24 * 340
h = 151.37775
Hence, the height will be (h + distance from eyelevel to ground)
151.37775 + 1.61
= 152.98775
= 152.99 m
Answer: 18 tablespoons
Explanation: for the water, you have to multiply the 2 gallons by 3 if you want to get 6 gallons. then, you also multiply 6 tablespoons by 3 to get 18 tablespoons. you can see the ratio 2:6 is the same as the ratio 6:18, so you know it’s correct!
The chances of picking an even number(a number that’s not odd) would be 1 out of 3
8x = 36 + 18y ⇒ -2(8x = 36 + 18y) ⇒ -16x = -72 - 36y
9x = 28 + 4y ⇒ 9(9x = 28 + 4y) ⇒ <u> 81x</u> = <u>252 + 36y</u>
65x = 180
x = 
9x = 28 + 4y
9
= 28 + 4y
9(36) = 13(28 + 4y)
324 = 364 + 52y
-40 = 52y
Answer: x = , y = 
