Answer:
f(x) = 2 ( x + 7/4)2 - 25/8
Step-by-step explanation:
X= 14 + 9y over 2
y= -x - 7 over 6
Hey!
Hope this helps...
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So to solve this, we want to know how many miles can we do in every 1 gallon of gas.
To solve this, we do: 380 / 14 = 27.14 miles for every 1 gallon
Okay, so if we have 1/2 a gallon stashed away, how far can we get on every 1/2 gallon...
To solve this, we do: 27.14 / 2 = 13.57 miles for every 1/2 gallon
So...
The answer is: We will NOT be able to get to the Gas Station that is 15miles away, because we can only go about 13.5 miles with every 1/2 gallon.
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± 
= ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )
Answer:
Step-by-step explanation:
Let x represent the amount of medical bills that Giselle has to pay.
Assume she has over $160 in bills,
it means that
x > 160
Under plan A, Giselle would have to pay the first $110 of her medical bills, plus 35% of the rest. Therefore, she will have to pay for
35/100 × (x - 110) = 0.35(x - 110)
Under plan B, Giselle would pay the first $160, but only 20% of the rest. Therefore, she will have to pay for
20/100 × (x - 160) = 0.2(x - 160)
Therefore, the amount of medical bills that plan B will save is
0.35(x - 110) - 0.2(x - 160) = 0.35x - 38.5 - 0.2x + 32
0.15x + 6.5
Substituting x = 160 into 0.15x + 6.5, it becomes
0.15 × 160 + 6.5 = $30.5
Total bills would be 160 + 30.5 = 190.5
Therefore, Giselle would save $30.5 with plan B if she had more than $190.5 in bills.
