Answer:
56q
Step-by-step explanation:
FIRST, you add 2q and 8.
2q+8=10q
THEN you multiply 10q by 5.
10q*5=50q
NOW add 50q to 12.
50q+12=62q
AND THEN subtract 6.
62q-6=56q
5(2q+8)+12q-6=56q
In this problem, you must change the signs of everything in the parenthesis, which will come to 3x^2 + x - 5x^2 - x + 4. Add like terms, and you will end up with -2x^2 + 4, which is answer choice A. Hope this helped
They asked which was equivalent not whats the value of the expression -_-
(x - d) + x + (x + d) = 12 --> Create an equation using the first piece of information - "Three consecutive terms... have a sum of 12"
x - d + x + x + d = 12 --> Simplify the left side of this equation (d cancels out)
3x = 12 --> Divide both sides by 3
<u>x = 4
</u>
Use the value of x (x = 4) to find the value of d. To do this, set up another equation using the second piece of information.
(x - d) * (x + d) * x = - 80 --> "Three consecutive terms... have... a product of -80". Then, substitute the value of x (4) into this equation.
(4 - d) * (4 + d) * 4 = - 80 --> Multiply out the sets of brackets, the * 4 is dealt with afterwards
4(16 - 4d + 4d - d²) = - 80 --> Simplify the expression inside the brackets
4(16 - d²) = - 80 --> Multiply out these brackets by the 4
64 - 4d² = - 80 --> Subtract 64 from both sides
- 4d² = - 144 --> Divide both sides by - 4
d² = 36 --> Square root both sides
<u>d = 6
</u>Now, find the values of the terms of the sequence by using substituting the values of x and d into the expressions given.
<u>
</u><u />1. x - d = 4 - 6 = <u>- 2
</u><u></u>2.<u> x = 4</u>
3. x + d = 4 + 6 = <u>10
</u>
The three terms are - 2, 4, 10.
<u>
</u>
Subtract 5r from both sides
2p= q-5r
Divide both sides by 2
p= (q-5r)/2
