Step-by-step explanation:
let's look at the last line :
x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D
since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).
x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)
by comparing now both sides, to make both sides truly equal, the factors have to be equal.
A = 1 (the same as for x³ on the left hand side).
B = 0 (a we have no x² on the left side).
5A + C = 8 (a 8 is the factor of x in the left side).
5×1 + C = 8
5 + C = 8
C = 3
5B + D = -3 (as the constant term is -3 on the left side).
5×0 + D = -3
D = -3
so, the 4th answer option is correct.
Answer:
Number of cookies sold is 2000 and number of cupcakes sold is 1500
Step-by-step explanation:
Let number of cookies be 
and number of cupcakes be
so

Cost of one cookie is $0.75
Cost of one cupcake is $2





Number of cookies sold is 2000 and number of cupcakes sold is 1500.
Answer:
y = x - 1
Step-by-step explanation:
Find the slope:
(-4 - (-2))/(-3 - (-1))
-2/-2 = 1
y = x + b
Plug in one of the points:
(-1,-2)
-2 = -1 + b
b = -1
y = x - 1
Answer:
<h2>4(3a-6b-1)</h2>
Step-by-step explanation:
![4 [-2a - 6b + 5a - 1]\\\\Simplify\:\\-2a - 6b + 5a - 1 : 3a-6b-1\\\\=4\left(3a-6b-1\right)](https://tex.z-dn.net/?f=4%20%5B-2a%20-%206b%20%2B%205a%20-%201%5D%E2%80%8B%5C%5C%5C%5CSimplify%5C%3A%5C%5C-2a%20-%206b%20%2B%205a%20-%201%20%3A%203a-6b-1%5C%5C%5C%5C%3D4%5Cleft%283a-6b-1%5Cright%29)
Answer:
What are the options for the answers?
Step-by-step explanation:
please put the options so I can help you!