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MrRa [10]
3 years ago
5

The finance department at a regional toy company has been tracking the income and costs of a new line of dolls. They have determ

ined that the income and costs can be modeled by the equations below, where x is the number of dolls sold, in hundreds, and y is the total dollar amount, in thousands.
Income: y=-0.4x^2+3x+45

Costs:y=1.5x+20


Consider the system of equations that can be used to determine the number of dolls for which the company will break-even.



How many total possible solutions of the form (x,y) are there for this situation?


Of any possible solutions of the form (x,y), how many are viable for this situation?
Mathematics
1 answer:
romanna [79]3 years ago
3 0

Answer:

q#1 Option B.2 possible solution is correct option

Q#2 option c. 1 viable solution is correct option.

Step-by-step explanation:

Q#1

y=4+3x+45

as this is a quadratic solution

and we know that when we solve a quadratic equation then  it gives two possible solutions

hence option b is the correct option

Q#2

option c is correct option when we solve an quadratic equation it gives two solution one is positive and other is negative as we know that income cannot be negative

hence only one viable solution exists when we solve this

y=4+3x+45 quadratic equation

Read more on Brainly.com - brainly.com/question/9837160#readmore

Step-by-step explanation:

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Is 16x2 + 24x + 9 a perfect square trinomial
fredd [130]
16x²=(4x)², 9=3², 24x=2*4x*3
so this is a perfect square: (4x+3)² 
5 0
3 years ago
Which lines are perpendicular to the line y - 1 = 1/3 (x+2)? Check all that apply.
ioda

Answer: Options 1, 3, 5

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so since the slope of the given line is 1/3, we need to find lines with a slope of -3.

  • Option 1 has a slope of -3.
  • Option 2 has a slope of 3.
  • Option 3 has a slope of -3.
  • Option 4 has a slope of 1/3.
  • If we subtract 3x from both sides, we get y=-3x+7, so option 5 has a slope of -3.
7 0
2 years ago
Nate's quiche is cut into 7 equal parts. Only 3/7 of the quiche is left. He wants to give 3 friends an equal part. Write 3/7 as
AleksandrR [38]
It will equal 3 because
7/1×3/7 will equal 3
5 0
3 years ago
Does anyone understand this if so can someone tell me how I do this and explain how to do it thank you!
dexar [7]

The ending balance for January 2018 was $1056.37

Step-by-step explanation:

Step 1; Whenever you make a payment, make a cash withdrawal, a payment through debit card or an automatic payment the money in your account decreases as you're giving your money to someone else. So the amount of money spent or taken is reduced from the balance in your account.

Whenever you get your paycheck or make a deposit the money you have in your account increases. So the amount of money put in or the money you are paid is added with the balance you have in your account.

Step 2; Total deposits mean all the money that was added into your account. In this month's summary, the individual didn't deposit any money into their account but did get paid twice. They got paid their paycheck twice. The amount paid was $645.30. So total amount deposited was 2 * $645.30= $1290.60.

Step 3; Total withdrawals were all the payments you made to someone else. In the month of January payments were; $ 158.25 to the plumber, $168.36 for the car payment, $157.42 for the cable bill and $148.46 for the phone bill. All these amounts were deducted from the account balance.

Step 4; So this is how to calculate the final balance.

$398.26 was the initial balance, $ 158.25 to the plumber, $168.36 for the car payment, $157.42 for the cable bill, $645.30 was paid through a paycheck, $148.46 for the phone bill and another $645.30 was another paycheck.

So the balance was = $398.26 - $158.25 - $168.36 - $157.42 + $645.30 - $148.46 + $645.30 = $1,056.37

6 0
3 years ago
In
zzz [600]

Answer:

option 4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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