Answer:
16
Step-by-step explanation:
Given
f(x)=5x^2+9x-2
Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).
Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:
f(x)=5x^2+9x-2
f(-3) = 5(-3)^2 +9(-3) -2
=5(9) - 27 -2
= 45-29
= 16 !
Answer:
n=-6
Step-by-step explanation:
2(n+5)=-2
distribute
2(n+5)
2xn 2x5
2n+10
2n+10=-2
subtract 10 from both sides
10-10=0
-2-10=-12
2n=-12
divide each side by 2
2n/2=n
-12/2=-6
n=-6
Answer:
We conclude that:
f(a) + 5 = a² + 8a - 5
Step-by-step explanation:
Given
The function is given by
f(x) = x²+8x-10
To determine
f(a)+5
In order to determine f(a)+5, first, we need to determine f(a).
Now substitute x = a in the function f(x) = x²+8x-10
f(a) = (a)² + 8(a) - 10
f(a) = a² + 8a - 10
Thus,
f(a) + 5 = (a² + 8a - 10) + 5
f(a) + 5 = a² + 8a - 5
Therefore, we conclude that:
f(a) + 5 = a² + 8a - 5
Step-by-step explanation:
3x + 2y = 9
- (3x + y = 6)
=> y = 3.
Therefore 3x + (3) = 6, 3x = 3, x = 1.
The solutions are x = 1 and y = 3.
