The answer is 40.You should change the 2 2/3 to improper fraction and the times it with 15.
Here is how to do the question,
The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in. For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials.
Hope that helps!!!!
Answer:
a. 10 + 2.50x
b. 60
c. 100
Step-by-step explanation:
a. 10 + 2.50x
b. 10 + 2.50(20)
= 10 + 50
= 60
c. 260 = 10 + 2.50x
250 = 2.50x
250/2.50 = x
x = 100
Answer:
B and C
Step-by-step explanation:
Distribute
4x^2 + 10x = 4x^2 +10x
30x^4 - 12x^3 = 30x^4 - 12x^3
g(x) = 4x − 5 is a linear function (graph is a straight line), with slope 4. Knowing how to identify the slope is an essential skill.
If g(x) is represented by this table:
x f(x)
−1 −6
0 −3
1 0
and we have a reasonable expectation that this is a linear function, then we can choose any 2 points and find the slope of the line connecting them. For example, we'll find the slope connecting (-1, -6) and (1,0).
0-(-6)
It is: m = ------------ = 3
1-(-1)
So the slopes of these 2 linear functions are not the same.
The equation of g(x) is y = 3x - 3. In the table, note that when x=0, y= -3.
The y-intercept -3 of g(x) is identical to the y-intercept -3 of f(x).