Answer:
<em>The remainder is -12. Choice d)</em>
Step-by-step explanation:
<u>The Remainder Theorem</u>
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
We have the polynomial
![P(a)= a^3 - 4](https://tex.z-dn.net/?f=P%28a%29%3D%20a%5E3%20-%204)
To evaluate the remainder when P is divided by a+2, we only have to find P(-2):
![P(-2)= (-2)^3 - 4](https://tex.z-dn.net/?f=P%28-2%29%3D%20%28-2%29%5E3%20-%204)
![P(-2)= -8 - 4=-12](https://tex.z-dn.net/?f=P%28-2%29%3D%20-8%20-%204%3D-12)
The remainder is -12. Choice d)
Answer:
y = 4 , x = 0
Step-by-step explanation:
4x + 2y =8----------equ{1}
make 4x subject of the formula
4x = 8- 2y.................equ(2)
now, substitute 4x into equ{1}
4(8-2y) + 2y = 8
32 - 8y + 2y = 8
Collect like terms
-8y + 2y = 8 - 32
-6y = -24
divide both sides by -6
y = 4
Substitute y into equ(2)
4x = 8-2(4)
4x = 8 - 8
4x = 0
divide both sides by 4
x = o
CHECK
4(0) + 2(4) =8
0 + 8 = 8
Balanced☑️
The answer is in the question. The question says he used 2/3 of it to make sandwiches. Unless your asking what 2/3 of 7/8 is then the answer would be 7/12.
you just multiply the top numbers together and the bottom numbers together and then reduce.