The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. Y = 8x y = -0. 01 x2 4x 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?.

Answers

Answer 1

The solution of the equation can be determined by substituting the points in the equation and solving it.

The solution of the given equation would be interpreted by solving the equation for the value of x and y.

The solution of the equation is (400, 3200) and it can be determined by using substitution method.

Given that,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

The solution of the system is (400, 3,200).

We have to determine,

How would you interpret this solution?

According to the question,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

On solving both the equation,

Substitute y = 8x in the equation 2,

[tex]\rm y = -0.01 x^2 + 4x + 3200\\\\ 8x = -0.01 x^2 + 4x + 3200\\\\0.01x^2+8x-4x-3200=0\\\\0.01x (x+800) -4(x+800)=0\\\\(x+800)\ (0.01x-4)\\\\When \ \ x +800=0, \ x = -800\\\\And\ \ 0.01x-4 = 0, \ \ x = \dfrac{4}{0.01} \ \ x =400[/tex]

The value of x is not -800 because the cost can not be negative.

Then the value of x is 400.

Substitute the value of x in equation 1,

[tex]\rm y = 8x\\\\y = 8(400)\\\\y = 3200[/tex]

Hence, The solution of the equation is (400, 3200).

For more details about System of Equation refer to the link given below.

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Related Questions

what is 25 divided by 4(bonus question)

Answers

Answer:

6.25

Step-by-step explanation:

pls help me
do maths​

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1) 2 2) 3 3) 3 4) 5 5) 3 6) 11^2 7) 5^4

Pleas dose anyone know all the answers to the South and East Asia for endogeneity unit test? :)

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look up the pdf of the test

F. A marketing company offers to pay $25 to the first 100 people who respond to its advertisement
and complete a questionnaire regarding its client's product. This will produce which type of
sample?
A. simple random sample
C. voluntary response sample
B. convenience sample
D. multistage cluster sample


HELPP ASAP PLZZZZZZZ LIKE RNN plzzzzzzz

Answers

Answer:

Convenience sample

Step-by-step explanation:

Getting paid to respond

B would be correct I think

.pleseee help so important ​

Answers

my answer with solving steps

#CARRYONLEARNING

LOVEUALL

Find the equation of a line that passes through the point (1,4) and has a gradient of -4.
Leave your answer in the form
y
=
m
x
+
c

Answers

Answer:

y= -4x+8

Step-by-step explanation:

y-y1= m(x-x1)

y-4 = (-4)(x-1)

y-4 = -4x+4

y = -4x+4+4

y = -4x+8

1 1/3 x 5/8

A.3/4
B.4/5
C.5/6
D.5/8

Answers

the answer is 5/6, hope this helps
4/3 x 5/8 = 20/24 = 5/6

The answer is C.

In a bag, the ratio of red to blue counters is 3:4.
If 3 red counters are removed the ratio of red to blue counters becomes 3:5.
How many blue counters are there in the bag?

Answers

r/b = 2/3, so r = 2/3 b
(r-3)/b = 3/5
5(r-3) = 3b
5(2/3 b - 3) = 3b
Just solve for b

Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.

Answers

Answer:

See below

Step-by-step explanation:

I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:

Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).

Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]

Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]

Given the figure below, which statement correctly completes the following? ABE and HCD are what type of angles

Answers

Angles are classified based on their measures.

Classification of angles

The following are the classification of angles

Acute AnglesRight AnglesObtuse AnglesStraight linesReflex Angles

The smallest angle is 0 degrees and the largest is 360 degrees.

When the measure of an angle is less than 90 degrees, such angle is an acute angle

When the measure of an angle is exactly 90 degrees, such angle is a right angle

Angles greater than 90 degrees, but less than 180 degree are obtuse angles, while angles that measure exactly 180 degrees are straight lines.

The last type of angle is the reflex angle, and it has a measure between 180 degrees and 360 degrees (exclusive)

The question is incomplete, so I gave a general explanation

Read more about angles at:

https://brainly.com/question/17972372

how do I dilate triangles using scale factors? step by step

Answers

Answer:

so first you

Step-by-step explanation:

find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.

Anyone know this answer I will give you 28 point.

Answers

Answer:

V to X = 68mi

X to W = 50mi

V to W = will be 68mi too

Step-by-step explanation:

note ; it's a triangle*

A money market account dropped to 5/8 its original value of $7.200. What is its current value?

A. 180
B. 450
C. 1,152
D. 4,500
E. 11,520

Answers

Answer:

Which claim most accurately describes the energy transformation taking place while he practices his guitar?

Sound energy is converted into elastic energy.

Kinetic energy is converted into thermal energy.

Mechanical energy is converted into sound energy.

Electrical energy is converted into mechanical energy.

Step-by-step explanation:

Answer:

C. 4,500

Step-by-step explanation:

Since we have 5/8 of the original 7200, we can multiply and divide.7200*5=3600036000÷8=4500Therefore, the answer is c, 4,500

What is a good estimate for 380% of 20

Answers

Answer:

380 divided by 20 is your answer

Step-by-step explanation:

Answer:

The answer is 76. The estimation would be 80.

Step-by-step explanation:

Graph the solution to this inequality on the number line.
-3x<4.2

-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
1.5 2
2.5 3

Answers

[tex]\\ \sf\longmapsto -3x<4.2[/tex]

[tex]\\ \sf\longmapsto x<4.2/-3[/tex]

[tex]\\ \sf\longmapsto x<-1.4[/tex]

Graph attached

The solution to the given set of inequality is -

x > - 1.4.

What is the general equation of a Straight line? What is a linear inequality?

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}

x/a + y/b = 1                                         {intercept form}

x cos(β) + y sin(β) = L                           {Normal form}

A linear equality is of the form -

y ≤ mx + c

y ≥ mx + c

y > mx + c

y < mx + c

We have the given inequality as -

-3x < 4.2

We have the following inequality as -

-3x < 4.2

x > (- 4.2/3)

x > - 1.4

Therefore, the solution to the given set of inequality is -

x > - 1.4.

To solve more questions on straight lines, visit the link below-

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The point F( – 4,6) is translated 6 units right. What are the coordinates of the resulting point, F'?

Answers

6units right means there is no change in y-co-ordinatesThe y co-ordinate is constant. nowOnly x co-ordinate will increase by 6

i.e

[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]

New co-ordinates:-

[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]

How i can answer this question

Answers

Answer:

2a + 7

Step-by-step explanation:

2a + 6 + 1 ← collect like terms

= 2a + (6 + 1)

= 2a + 7

Helpp real quick GIVING CROWNN!!

Answers

Answer:

2g+60>92

Step-by-step explanation:

The cashier read the totals: $33.83, $19,40, $43.50, $3.08, $2.40. Circle the number that is wrong and record what it should be explain how you corrected the mistake

Answers

Answer:

74.0 g/mol

Explanation:

Step 1: Write the generic neutralization reaction

HA + NaOH ⇒ NaA + H₂O

Step 2: Calculate the reacting moles of NaOH

At the equivalence point, 33.83 mL of 0.115 M NaOH react.

0.03383 L × 0.115 mol/L = 3.89 × 10⁻³ mol

Step 3: Calculate the moles of HA that completely react with 3.89 × 10⁻³ moles of NaOH

The molar ratio of HA to NaOH is 1:1. The reacting moles of HA is 1/1 × 3.89 × 10⁻³ mol = 3.89 × 10⁻³ mol.

Step 4: Calculate the molar mass of the acid

3.89 × 10⁻³ moles of HA have a mass of 0.288 g.

M = 0.288 g / 3.89 × 10⁻³ mol = 74.0 g/mol

you need to really explain more and not going in person

Distance between each pair of points (-6,-4.7) and (-6,4.1)

Answers

Answer:

8.8

Step-by-step explanation:

as X1=X2

we use | Y2-Y1 |

=| 4.1 -(-4.7) |

=| 8.8 |

=8.8

in a dilation, what is preserved and what is altered?​

Answers

Answer:

Preserve angles

Step-by-step explanation:

i think sorry if its wrong

Answer:

to preserve angles

Step-by-step explanation:

write the equation of the line given the two points. (4,-3) and (3,1)

Answers

Answer:

y=-4x+13

Step-by-step explanation:

y=mx+b

slope =

1--3/3-4

4/-1

-4/1

y-1=-4(x-3)

y-1=-4x+12

y=-4x+13

Answer:

[tex]y = -4x + 13[/tex]

Step-by-step explanation:

First, find the slope (denoted by the variable, m). Use the following equation:

slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]

Use the slope-intercept form. The slope-intercept form is:

[tex]y = mx + b[/tex]

Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:

[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]

Plug in the slope (m) and the y-intercept (b) to get your equation:

[tex]y = -4x + 13[/tex]

~

✺༒Question༒✺

Refer to attachment

Nonsense answer will get report​

Answers

Answer:

REFER TO ATTACHMENT.

I HOPE IT IS HELPFUL

40 kg of tomatoes cost $200 how many kilograms of tomato’s can you get with $45

Answers

Answer:

9 kg of tomatoes

Step-by-step explanation:

Cost of 40 kg of tomatoes = $200

Cost of 1 kg of tomatoes = 200/40 = $5

For $45, we get x kg of tomatoes,

kg       $

1          5

x         45

=> 45*1/5 = x kg (by cross multiplication)

=> 45/5 = x kg

We get 9 kg of tomatoes for $45.

Hope you understood!

Answer:

(9 Kg) You can get 9 kilograms of tomato's with 45$

Step-by-step explanation:

Very important question ⁉️​

Answers

Answer:

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal  

Therefore angles BGH and DHG are consecutive interior angles  

As we know the sum of consecutive interior angles equals to 180°:  

∠BGH + ∠DHG = 180°

Line GP bisects angle BGH , therefore  

m∠PGH = 1/2*m∠BGH

Line HP bisects angle GHD, therefore  

m∠PHG = 1/2*m∠GHD

Sum of two angles of triangle GHP:  

m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°

Therefore the missing angle a is:  

∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°

Evaluate –32 + (2 – 6)(10).

Answers

Answer:

  -49

Step-by-step explanation:

You want to evaluate the expression -3² +(2 -6)(10).

Order of operations

The Order of Operations tells you the expression in parentheses is evaluated first, followed by the term containing the exponent.

  -3² +(2 -6)(10) = -3² +(-4)(10)

  = -9 +(-4)(10)

  = -9 -40

  = -49

The value of the expression is -49.

__

Additional comment

The leading minus sign applies to the result from the squaring operation. If the square of -3 is wanted, it is put in parentheses: (-3)² = 9.

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Fifteen cards numbered 1-15 are placed in a hat. What is the probability that the card has a multiple of 3 on it, given that the card picked is an odd
number? Express your answer as a fraction in simplest form.

Answers

1-15 has only 1,3,5,7,9,11,13,15 as odd number therefore a total of 8 odd numbers within 1-15 so that would be 8/15 probability of it being an odd number (I’m not too sure of this sorry)

The probability that the card has a multiple of 3 and an odd number is 20%.

How to find the card has a multiple of 3 on it, given that the card picked is an odd number?

Given:

The number of cards: 15

Multiples of 3 and odd no are 3,9, and 15.

The number of cards Multiples of 3 and odd number = 3

Probability of getting a multiple of 3 cards = 3/15× 100

20%

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Learn more about Probability here: brainly.com/question/251701

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Write the statement "cars are vehicles" as a conditional statement. Then write the converse. Also, write the inverse.

Answers

Cars be CVehicles be V

Cars are vehicles means cars=Vehicles

So

[tex]\\ \sf\longmapsto C=V[/tex]

Converse statement:-

Vehicles are cars

[tex]\\ \sf\longmapsto V=C[/tex]

Will mark brainliest if you can resolve this problem ( 2 possible answers, NO LINKS OR ANSWERS WITHOUT EXPLANATION)
I can give u the permission of drawing the boxplot by:
- saving the picture or screenshot it ( it's better to screenshot it (Windows+ Logo+Shift+s) )
- drawing the answer on the screenshot Windows
- save the picture (Ctrl+s)
- and finally send it to brainly
(P.s: many people (those who are good at I.T) will argue with the procedure of doing the answer. But many people don't. So I gave the procedure step-by-step to you to show me the working) Thx
Here's the picture:

Answers

Answer:

Hopefully this is what you are looking for.

Step-by-step explanation:

Hope this helps!

antonio baked 150 muffins 46% are blueberry how many blueberry muffins did he bake

Answers

Answer:

69

Step-by-step explanation:

150*(0.46) = 69 blueberry muffins

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