Answer:
200 candles
Step-by-step explanation:
20*10 = 200
Answer:
The cost of 5 gallons of fuel would be 5x assuming the cost of 1 gallon to be x.
Step-by-step explanation:
An old truck has a fuel efficiency rating of 12 mpg.
We have to find the cost of gasoline that will be used up after we drive 60 miles.
To drive 60 miles , it uses 5 gallons.
let the cost of 1 gallon of fuel be x.
We have to find the cost of 5 gallons of fuel.
So the cost of 5 gallons of fuel = 5
= 5x
Answer:
- 8) 4 + 2q²/p² - 4r/p + r²/p²
- 9) (3/4, -9/4)
- 10) (3/8, 41/16)
Step-by-step explanation:
8. ============
Given
- α and β are roots of px² + qx + r = 0
The sum of the roots is α + β = -q/p, the product of then roots αβ = r/p
- (2 + α²)(2 + β²) =
- 4 + 2(α² + β²) + (αβ)² =
- 4 + 2((α + β)² -2αβ) + (αβ)² =
- 4 + 2((-q/p)² - 2r/p) + (r/p)² =
- 4 + 2q²/p² - 4r/p + r²/p²
------------------------------
9. ============
<u>Given function</u>
The minimum point is reached at vertex
<u>The vertex is:</u>
- x = -b/2a
- x = -(-3)/2*2 = 3/4
<u>The corresponding y-coordinate is:</u>
- y = 2(3/4)² - 3(3/4) - 1 = 9/8 - 9/4 - 1 = 1/8(9 - 18 - 9) = - 18/8 = - 9/4
<u>So the point is: </u>
---------------
10. ============
<u>Given function</u>
The maximum is reached at vertex
<u>The vertex is:</u>
- x = -b/2a
- x = -(-3)/2(-4) = -3/8
<u>The corresponding y-coordinate is:</u>
- y = 2 - 3(-3/8) -4(-3/8)² = 2 + 9/8 - 9/16 = 1/16(32 + 18 - 9) = 41/16
<u>So the maximum point is:</u>
<span>x^2 = 81
x = </span>±√81
x = ±9<span>
x^2 = -9 no solutions
x^2 = 20
x = </span>±√20
x = <span>±2</span>√5<span>
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