Answer:
Step-by-step explanation:
The expression x^3 - x^2 - 17x -15) ÷ (x-5) shows that x+5 is one of the factor if the polynomial function. According to factor theorem, we will equate the factor to zero and find x;
x+5 = 0
x = -5
Next is to generate the remainder.
Substitute x = -5 into the polynomial function
P(x) = x^3 - x^2 - 17x -15
P(-5) = (-5)^3 - (-5)^2 - 17(-5) -15
P(-5) = -125-25+85-15
P(-5) = -150+70
P(-5) = -80
Hence the remainder is -80
The value of x is -2
Step-by-step explanation:
Given that
6 (2x + 3) - 3(x - 2) = 6
Expand the bracket
6 (2x + 3) - 3(x - 2) = 6
12x + 18 - 3x + 6 = 6
Collect like terms
12x - 3x = 6 - 6 - 18
9x = -18
Divide through by 9
9x / 9 = -18 / 9
x = -2
Therefore, the value of x is -2
Learn more about inequality here : brainly.com/question/20252161
Answer:
The linear equation that gives the rule of the table is f(x) = x + 25
The linear equation can be represented in a slope intercept form as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
Using the table let get 2 points
(2, 27)(3, 28)
let find the slope
m = 28 - 27 / 3 -2 = 1
let's find b using (2, 27)
27 = 2 + b
b = 25
Therefore,
y = x + 25
f(x) = x + 25
Step-by-step explanation:
0.362=
0.3+0.06+0.002
and
362/1000
and
0.362
Answer:
33.61 mm (the square root of 1130)
Step-by-step explanation: