Answer:
x = 5 or x = -11
Step-by-step explanation:
(x+3)²+8=72
x² + 6x + 9 + 8 = 72
x² + 6x -55 = 0
(x - 5) (x + 11) = 0
x = 5 or x = -11
Answer:
<h2><em><u>IF </u></em><em><u>AB </u></em><em><u>IS </u></em><em><u>PARALLEL </u></em><em><u>TO </u></em><em><u>CD </u></em><em><u>THEN </u></em><em><u>A </u></em><em><u>AND </u></em><em><u>B </u></em><em><u> </u></em><em><u>are </u></em><em><u>linear </u></em><em><u>pair </u></em><em><u>means </u></em></h2>
<em><u>a+</u></em><em><u>b</u></em><em><u>=</u></em><em><u>1</u></em><em><u>8</u></em><em><u>0</u></em>
<em><u>a=</u></em><em><u>1</u></em><em><u>8</u></em><em><u>0</u></em><em><u>-</u></em><em><u>b</u></em>
<em><u>b=</u></em><em><u>1</u></em><em><u>8</u></em><em><u>0</u></em><em><u>-</u></em><em><u>a</u></em>
Answer:
true statement
Step-by-step explanation:
Substituting a solution back into the original equation will make the equation true.
For A, divide total miles by the miles per gallon for each tire pressure to find the number of gallons of gas used:
At 30 psi: 23000 / 20.5 = 1121.95 gallons , round to 1121 gallons.
At 35 psi: 23000 / 21.1 = 1090 gallons.
Number of gallons saved: 1121 - 1090 = 31 gallons.
B) multiply the cost per gallon by the number of gallons saved:
31 gallons x $2.00 = $62.00 saved.
C) Multiply the gallons saved by 1 car by total number of cars:
31 gallons x 140 million cars = 4,340 million gallons ( 4 billion 340 million gallons)
Step-by-step explanation:
y = -3x² + 12x - 33
y = -3[x² - 4x + 11]
y = -3[(x - 2)² + 7]
Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.
Therefore the correct option is A.