Hello,
g(x) = x² - 5x
g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct
g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct
g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct
g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct
I would use a confidence interval to estimate the mean fuel savings because of the range of the data. If the data were close together, a simple mean would be enough. Here there is a wide spread of values between 48.3 and 6.9. A confidence interval would be a good representation of the values.
Answer:
FH = 108
Step-by-step explanation:
The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.
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<h3>Triangle EGH:</h3>
EG² = GH² +HE²
GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values
<h3>Triangle FGH:</h3>
FG² = GH² +FH²
FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values
FH = √11664 = 108 . . . . . take the square root
The length FH is 108.
I’m pretty sure that when it says “the largest millions form” they mean this: 350,000,000 or three hundred fifty million. Hope that helps!
9514 1404 393
Answer:
3
Step-by-step explanation:
Let x represent the number. The problem statement tells you ...
2/3(3x +6) = 10
2x +4 = 10 . . . . . . use the distributive property
x +2 = 5 . . . . . . . . divide by 2
x = 3 . . . . . . . . . . .subtract 3
The number is 3.
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<em>Comment on the solution</em>
The above shows an "alternative" solution method. The more usual way this might be done is ...
2(3x +6) = 30 . . . . . multiply by 3 to clear fractions
6x +12 = 30 . . . . . . . eliminate parentheses
6x = 18 . . . . . . . . . . . subtract 12
x = 3 . . . . . . . . . . . . divide by 6
