Answer:
2x^3 + 9x^2 + 16x + 21.
Step-by-step explanation:
We first multiply the expression in the second parentheses by x , then by +3:
(x + 3)(2x^2 + 3x + 7)
= x(2x^2 + 3x + 7) + 3(2x^2 + 3x + 7)
= 2x^3 + 3x^2 + 7x + 6x^2 + 9x + 21 Now we add like terms:
= 2x^3 + 9x^2 + 16x + 21.
Since y = 5x-1, we can fill it into 3x + 3y = -3. First, let's look at relating to a simpler equation. Let's say that x + y = 9 and y = 3 + 5. Now, we can fill it in to get that x + (3 + 5) = 9. Now, we know that 3+5 is 8, so x + 8 = 9. Now, x = 1. Likewise, we can do the same. For 3x + 3y = -3, all we need to do is to switch the y in 3x + 3y = -3 with 5x - 1. So it would become 3x + 3(5x - 1) = -3. Now we distribute to get 3x + 15x - 3 = -3. Now add three to both sides to get 3x + 15x = 0. Now simplify to get 18x = 0. Now we know that x = 0. Now fill x into y = 5x - 1. So y = 5(0) - 1. Now we know that y = -1.
To check fill in the answer to 3x + 3y = -3.
3(0) + 3(-1) = -3
0 + (-3) = -3
0 - 3 = -3
-3 = -3
Now that our check is completed we now know that x is 0 and y is -1.
<span>The answer is b. (70/z). If I put $100 into a savings account and the annual growth rate is 10%, the 70/10%= 7 years that the initial $100 would take to double.</span>
Answer:
$30,000 and $55,000
Step-by-step explanation:
If 4.5% loan is x, and the 6% loan is y, then:
x + y = 85000
0.045x + 0.06y = 4650
Solve the system of equations with substitution or elimination. Using substitution:
0.045x + 0.06(85000 − x) = 4650
0.045x + 5100 − 0.06x = 4650
450 = 0.015x
x = 30000
y = 55000
