Answer:
A) The cost is the same at 5 months.
Step-by-step explanation:
Lets use m to represent the number of months it will take for the cost to be the same. If we set up an equation, we can write:
75 + 10m = 50 + 15m
-50 on both sides
25 + 10m = 15m
-10m on both sides
25 = 5m
Divide by 5 on both sides.
5 = m
That means it will take 5 months for the costs to be the same.
9514 1404 393
Answer:
8. 4 +2q²/p² -4r/p +r²/p²
9. (x, y) = (3/4, -17/8)
Step-by-step explanation:
All of these questions are asking you to make use of the fact that ...
α + β = -q/p
αβ = r/p
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8. (2 +α²)(2 +β²) = 4 + 2(α² +β²) +α²β²
= 4 +2((α+β)² -2αβ) +(αβ)²
Substituting the above for the sum and product, you have ...
= 4 + 2((-q/p)² -2(r/p)) +(r/p)²
= 4 +2q²/p² -4r/p +r²/p²
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9. This is asking for the vertex of the parabola. The x-coordinate is ...
x=-b/(2a) = -(-3)/(2(2) = 3/4
Then the y-coordinate is ...
y = (2(3/4) -3)(3/4) -1 = (-3/2)(3/4) -1 = -9/8 -1 = -17/8
The (x, y) values of interest are (3/4, -17/8).
The answer would either be (-3,5), (5,-3), (9,-7), or (-7,9). I forget where the <em>x </em>and <em>y</em> go, but those are your answer choices.
Hey there!
In order for you to solve for this. You have to COMBINE YOUR LIKE TERMS
(9 )+ (5r - 9r)
(5r - 9r) = -4r
(+ 9) = +9
Answer: -4r + 9
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)