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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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4 x y -7y +9 x y + 12y
yulyashka [42]

Answer:13xy+5y

Step-by-step explanation:

5 0
3 years ago
Given the following kite find:
uysha [10]

Answer:

63

Step-by-step explanation:

90+13x+1+28x+7=180

98+41x=180

41x=82

x=2

Plugging in the value of x, we get:

28x+7=28(2)+7=56+7=63

6 0
3 years ago
Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) \pi + (-\pi) = 0

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

1 - 2 = -1

5 - 5 = 0

\frac{1}{2} - \frac{1}{4} = \frac{1}{2}

4 - 2 = 2

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

Where

a, b, c are of the same set.

In the given options (a) to (d), only

\pi + (-\pi) = 0 is not close under addition because:

\pi is irrational while 0 is rational

<em>In other words, they belong to different set</em>

8 0
2 years ago
11 12 13 Please help! Will reward brainliest
RoseWind [281]
11. 9/20
12. 13/20
13. 12/20

that's if it doesn't have to be in percentage form
3 0
3 years ago
Solve using a proportion.
Advocard [28]

Answer:

t = 24 yards

Step-by-step explanation:

Since the trapezoids are similar then the ratios of corresponding sides are equal, that is

\frac{t}{c} = \frac{u}{d}

Substitute in given values

\frac{t}{0.4} = \frac{15}{0.25} ( cross- multiply )

0.25t = 6 ( divide both sides by 0.25 )

t = 24

5 0
3 years ago
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