Answer:
(1, 8.5 ) and ( - 17, 80.5 )
Step-by-step explanation:
Given the 2 equations
y = 
x² + 4x + 4 → (1)
y = - 4x + 12 → (2)
Substitute (1) into (2), that is
x² + 4x + 4 = - 4x + 12 ( multiply through by 2 to clear the fractions )
x² + 8x + 8 = - 8x + 25 ( add 8x to both sides )
x² + 16x + 8 = 25 ( subtract 25 from both sides )
x² + 16x - 17 = 0 ← in standard form
(x + 17)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 17 = 0 ⇒ x = - 17
x - 1 = 0 ⇒ x = 1
Substitute these values into either of the 2 equations and evaluate for y
Substituting into (2 )
x = 1 : y = - 4(1) + 12.5 = - 4 + 12.5 = 8.5 ⇒ (1, 8.5 )
x = - 17 : y = - 4(- 17) + 12.5 = 68 + 12.5 = 80.5 ⇒ (- 17, 80.5 )
9) 24 pounds = 10.89 kilograms
1 pound is equal to 0.45359237 kilograms. To convert pounds to kilograms, simply multiply the pounds by 0.45359237
10) 7 gallons = 26.5 liters
1 US Gallon is equal to 3.785 liters. To convert gallons into liters, simply multiply the gallons by 3.785
Answer:
Variance of the given data = 31.143
Explanation:
Variance, 
, where n is the number of observations, μ is the mean and 
is the observations made.
Number of observations, n = 7
Mean, μ = 
So variance of the given data = 31.143
The answer for your problem is gonna be 7000
Answer:
- Reduction of Gasoline Consumption
- Increase in Miles Per Gallon by 3.
Step-by-step explanation:
Previous Rate of Gasoline Consumption = 15 miles per gallon
Rate of Gasoline consumption after Tune Up = 18 miles per gallon
The difference in Gasoline Consumption = 18-15 =3 miles per gallon
Since the difference is positive, Lisa noticed she got 3 extra miles for every gallon of gasoline. That is, her gasoline consumption reduced.
