Lori wants to distribute 35 peaches equally into baskets. how many baskets does Lori need?
2 answers:
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Answer:
C. (5x - 1)(x + 8)
Step-by-step explanation:
In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into:
- <em>Multiply the 5 and -8</em> = -40: <em>this is what we will factor</em>
- <em>The factors with add to 39 are 40 and -1</em>.
- <em>Set up the problem:</em>
Now, we can fo the math:
8(5x - 1) + x(5x - 1)
<em>Factor (5x - 1) from this:</em>
(5x - 1)(x + 8)
And we have our answer.
Answer:
a' > a
Step-by-step explanation:
A larger value for a will stretch the exponential in the y direction. A larger value for b will stretch it in the x direction.
Answer:
D
Step-by-step explanation:
So we have the equation:
And we want to solve for x.
We can solve it by completing the square.
First, subtract 58 from both sides:
Divide the b term by 2 and square it:
So, add 9 to both sides:
On the left, the perfect square trinomial pattern. Add on the right. So:
Take the square root of both sides:
The square root of -49 is 7i:
Add 3 to both sides:
So, our answer is D.
And we're done!