Answer:
Correct answer: C. -20
Step-by-step explanation:
If (x-3) is a polynomial factor it means that the polynomial value at point 3 is zero.
H(3) = 3 · 3³ - 2 · 3² + 3k - 3 = 0 ⇒ 81 - 18 + 3k - 3 = 0 ⇒ 3k + 60 = 0
3k = - 60 ⇒ k = - 60/ 3 = - 20
k = - 20
God is with you!!!
Answer:
Step-by-step explanation:
y = 2x - 3 --------------(i)
y = x² - 2x - 8 -----------(ii)
Substitute y = x² - 2x - 8 in equation (i)
x² - 2x - 8 = 2x - 3
x² - 2x - 8 - 2x + 3 = 0
x² - 2x -2x - 8 + 3 = 0
x² - 4x - 5 = 0
x² + 1x - 5x -5 = 0
x(x + 1) - 5(x + 1) = 0
(x + 1)(x - 5) = 0
x + 1 =0 ; x -5 = 0
x = -1 ; x = 5
When x = -1; y =2*(-1) - 3 = -2 -3 = -5
When x = 5; y = 2*5 - 3 = 10-3 = 7
Step-by-step explanation:
We have 9s = 7(s + 8) + 60.
=> 9s = 7s + 56 + 60
=> 2s = 116
=> s = 58.
Therefore the trucker was travelling to
the delivery site at 58 miles per hour.
Answer:
D
Step-by-step explanation:
Since there is a y on both and only an x on one the only logical one would be D
Answer:
The 3 angles are 62 2/3, 44 2/.3 and 72 2/3 degrees.
Step-by-step explanation:
let x be the first angle then the the second angle is x - 18 and the third angle = x + 10
The 3 angles add up to 180 so:
x + x - 18 + x + 10 = 180
3x = 180 + 18 - 10 = 188
x = 188/3 = 62 2/3 degrees.
x - 18 = 44 2/3
x + 10 = 72 2/3.