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).
It a measure of the amount of variation or despersion of a set of values
Actually Welcome to the Concept of the Average rate of change.
The average rate of change can be calculated by, finding the change of the two readings and getting a average between them.
here, for x =3 to x =5
1.) in the interval, x =3 to x = 4
the change is ==> 287 - 125 = 162
2.) in the interval, x = 4 to x=5
the change is ==> 549-287 = 262
Now the average ==> 162+262/2 ===> 212
Hence the average rate of change is 212
Answer:
a = x
b = 5
Step-by-step explanation:
Answer:
The answer is 0.60b + 0.30w = 150; 60 + 0.30w = 150
Step-by-step explanation:
Wei can purchase 300 balloons.
The model used for the problem is .
Step-by-step explanation:
Let the number of white balloons = x
The cost of blue balloons and white balloons are 60 cent = $0.6 and 30 cents = $0.3 respectively.
Wei purchased 100 blue balloons and have $150 to buy both balloons
