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castortr0y [4]
2 years ago
13

NEED MATH HELP NOW. Please solve for x-intercept.

Mathematics
1 answer:
Lelechka [254]2 years ago
5 0

Answer:

(1, 0) and (3, 0)

Step-by-step explanation:

y=2x²-8x+6

x- intercept when y=0

  • 2x²-8x+6=0
  • x²-4x+4=1
  • (x-2)²=1
  • x-2=1 ⇒ x= 3
  • x-2= -1 ⇒ x= 1
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Answer:

<u>The correct answer is C. $ 39.89</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Tank capacity = 21 gallons

Cost of gallon of gas when the car is returned with under half a tank = $ 7.50

Cost of gallon of gas when the car is returned with more than half a tank = $ 5.75

Gas in the tank of the rental car = 1,800 fluid ounces

2. How much should you charge the customer to fill the tank?

Let's recall that 1 gallon = 128 fluid ounces

Now, we will answer the question this way, converting the tank capacity from gallons to fluid ounces:

Capacity of the gas tank = 21 * 128 = 2,688 fluid ounces

Like 1,800 is above the 50% of the tank, we will charge $ 5.75 per gallon to fill up the tank

Now, we calculate the cost of gas per fluid ounce, this way:

Cost per fluid ounce = 5.75/128 = $ 0.04492

Finally, we calculate how many fluid ounces the customer has to pay this way:

We will charge the customer = (2,688 - 1,800) * 0.04492

We will charge the customer = $ 39.89

<u>The correct answer is C. $ 39.89</u>

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