NEED HELP!! help with number 5 and 6. Plz and thank you.
1 answer:
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Answer:
Step-by-step explanation:
hope this helps
The solution of the system of equation is the intersection point of the two quadratic equations, so we need to equate both equations, that is,
So, by moving the term -3x^3+20 to the left hand side, we have
Then, in order to solve this equation, we can apply the quadratic formula
In our case, a=5, b=-3 and c=-30. So we get
which gives
By substituting these points into one of the functions, we have
and
Then, by rounding these numbers to the nearest tenth, we have the following points:
Therefore, the answer is the last option
To check how much Tim will pay to refill the gas tank using one of the on-site pumps, we can create a linear model. We know from our problem that the Renter's charge $4.50 per gallon plus a $5.00 refueling, so let 
be the number of gallons and 
the total cost.
We also know that the fuel tank in the car is half empty and t<span>he car has a 12-gallon fuel tank, so half tank is 6 gallons. Lets replace the number of gallons in our linear model with 6 to fin the total cost:
</span>
Now, to find how much Tim will pay if he decides to refuel the car on his own, we can also create a linear model.
Let be the number of gallons and the total cost. We know form our problem that <span>refueling the car on his own will cost $2.59 per gallon and the late fee charge is $32.
</span>
<span>We already know that half tank is 6 gallons, so
</span>
<span>
Comparing the result of our two linear models we can conclude that the correct answer is: </span><span>b. It would be cheaper to return the car on time and pay the refueling costs.</span>
We also know that the fuel tank in the car is half empty and t<span>he car has a 12-gallon fuel tank, so half tank is 6 gallons. Lets replace the number of gallons in our linear model with 6 to fin the total cost:
</span>
Now, to find how much Tim will pay if he decides to refuel the car on his own, we can also create a linear model.
Let
</span>
<span>We already know that half tank is 6 gallons, so
</span>
<span>
Comparing the result of our two linear models we can conclude that the correct answer is: </span><span>b. It would be cheaper to return the car on time and pay the refueling costs.</span>