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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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Help these are superrrrr hardd
sertanlavr [38]

Answer:

1.) 0

2.) b = -0.8333333333

3.) -x-22

Step-by-step explanation:

Pull out like factors :    -3x - 2  =   -1 • (3x + 2)

(-5 • (3x + 2) -  (x - 3)) -  (-16x - 7)  = 0

Pull out: -16x-7

After pulling out, we are left with:  (-16x-7) • ( 1 +( (-1) ))

Pull out like factors: -16x - 7  =   -1 • (16x + 7)  

0 = 0

____________________________________________

Simplifying

2(a + -3) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

2(-3 + a) + 4b + -2(a + -1b + -3) + 5 = 0

(-3 * 2 + a * 2) + 4b + -2(a + -1b + -3) + 5 = 0

(-6 + 2a) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

-6 + 2a + 4b + -2(-3 + a + -1b) + 5 = 0

-6 + 2a + 4b + (-3 * -2 + a * -2 + -1b * -2) + 5 = 0

-6 + 2a + 4b + (6 + -2a + 2b) + 5 = 0

Reorder the terms:

-6 + 6 + 5 + 2a + -2a + 4b + 2b = 0

Combine like terms: -6 + 6 = 0

0 + 5 + 2a + -2a + 4b + 2b = 0

5 + 2a + -2a + 4b + 2b = 0

Combine like terms: 2a + -2a = 0

5 + 0 + 4b + 2b = 0

5 + 4b + 2b = 0

Combine like terms: 4b + 2b = 6b

5 + 6b = 0

Solving

5 + 6b = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 6b = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 6b = 0 + -5

6b = 0 + -5

Combine like terms: 0 + -5 = -5

6b = -5

Divide each side by '6'.

b = -0.8333333333

Simplifying

b = -0.8333333333

_______________________________________

|x - 2| - 4*|-6|

=|x - 2| - 4* 6

=|x - 2| - 24

x-2>=0 then x>= 2 and = x-2-24  = x-26

x-2<0 then  x<2 and = 2-x-24 =-x-22

so , If x>=2 then the expression will equal   x-26

&

If  x<2 then the expression will equal    -x-22

_________________________________________

❂✨Answered By Tokyo ✨❂

❉ Brainliest Would Be Appreciated❉

✯If You Have Questions Ask In the Chat Box✯

4 0
3 years ago
Answer is 60. Plz step by step explanation !! I'm in urgent !! Thank you​
Aleks04 [339]

Answer:

60°

Step-by-step explanation:

ABCO is a parallelogram (opposite sides are parallel).

AO is equal to the radius of the circle, so BC must also equal the radius.

CO is equal to the radius of the circle, so AB must also equal the radius.

If we draw a line from O to B, we split the parallelogram into two triangles.  Since OB is equal to the radius of the circle, each triangle is an equilateral triangle.  Therefore, angle A is 60°.

8 0
3 years ago
A scuba diver is diving at a constant rate when her
Helen [10]

Answer:

-0.25 ; 120 seconds 72 seconds

Step-by-step explanation:

Dive rate is constant :

Change in elevation after 8 seconds :

18 feets to 20 feets below

Rate of change = distance / time

(18 - 20) feets / 8 seconds

(-2 / 8) = - 0.25 feets per second

To reach 50.feets :

She needs to cover (50 - 20) = 30 feets

Time = distance / speed ; 30 feets / 0.25 = 120 seconds

4 0
2 years ago
Given the equation y = 4 + 2x find the values for y given the value x
Leviafan [203]

Answer:

If x = 3 then y = 10

If x = -3 then y = -2

If x = 4 then y = 12

If x = -2 then y = 0

4 0
3 years ago
Find s8 for the following geometric sequence: 3, –6, 12, –24.
Lisa [10]

Find s8 for the following geometric sequence: 3, –6, 12, –24. = –255


4 0
3 years ago
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