Assume the following: 1) the scattergraph intersects the Y axis at $200; 2) the estimated line on the scattergraph increases by $10 for every 1 unit of volume increase. What is total cost if volume is 20 units

Answers

Answer 1

Answer:

The total cost is:$400

Step-by-step explanation:

Given

[tex]x \to units[/tex]

[tex]y \to cost[/tex]

[tex](x,y) = (0,200)[/tex] --- when the graph intersects the y-axis

[tex]m = 10[/tex] -- the rate

Required

y when x = 20

First, we determine the equation of the plot using:

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

Substitute 10 for m

[tex]y = 10x + c[/tex]

Next, solve for c.

Substitute [tex](x,y) = (0,200)[/tex]

[tex]200 = 10*0+c[/tex]

[tex]200 = 0+c[/tex]

[tex]c = 200[/tex]

So:

[tex]y = 10x + c[/tex]

[tex]y =10x + 200[/tex]

When x = 20

[tex]y =10*20 + 200[/tex]

[tex]y =200 + 200[/tex]

[tex]y = 400[/tex]


Related Questions

please help me its due nowww

Answers

The angles represented by (2x - 60) and (60 - 2x) cannot be supplementary because their sum add up to zero instead of 180°.

The graph of y - 3x + 2 is:

Answers

The answer should be D!

What is 10000 - 82583 + 81627 X 2

Answers

Answer:

90,671

Step-by-step explanation:

10,000- 82,583+ (81,627 x 2)

Answer:

-235,837

Step-by-step explanation:

Given :

10000-82583+81627×2

Now,

10000-82583+163254

10000-245837

-235,837

Answer will be -235,837

what is 5/8 as a mixed number​

Answers

It can’t be a mixed number

Answer:

What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.

What combination of bracelets does dimitri have?

Answers

7 simple and 3 deluxe bracelet


Consider the graph. Which inequality best represents the graph?

Answers

Answer:

y >= x/2 - 1

Step-by-step explanation:

the slope (rise/run) is 1/2 and the y-intercept is -1 so in point-slope form

y = x/2 - 1 but everything above the line (unshaded part) is valid so y is equal to or greater than.

Can someone help me please really need help? I’ll help you back please & thanks

Answers

The answer is 6 days.

This is the equation
30d-60=20d
10d=60
d=6

Consider f(x) = 2x2 + 1 and g(x) = 3x − 6. Which statement about f + g is true?
A. It is a linear function.
B. It is a quadratic function.
C. The domain is x ≥ −3.
D. The range is all real numbers.

Answers

Given:

The two functions are:

[tex]f(x)=2x^2+1[/tex]

[tex]g(x)=3x-6[/tex]

To find:

The correct statement about the function [tex]f+g[/tex].

Solution:

We have,

[tex]f(x)=2x^2+1[/tex]

[tex]g(x)=3x-6[/tex]

Adding both functions, we get

[tex]f+g=f(x)+g(x)[/tex]

[tex]f+g=2x^2+1+3x-6[/tex]

[tex]f+g=2x^2+3x-5[/tex]

It is a quadratic function. So, option A is incorrect and option B is correct.

The domain of [tex]f+g[/tex] is all real numbers because it is defined for all real values of x. So, option C is incorrect.

The range of [tex]f+g[/tex] cannot be the all real numbers because it has a minimum value of y as the leading coefficient is positive. So, option D is incorrect.

Therefore, the correct option is B.

What is the relationship between the diameter d and circumference c of a circle

Answers

Answer:

π × d

Step-by-step explanation:

The relationship between the diameter and circumference is that the circumference is equal to π multiplied by the diameter. This means that our answer is π × d, or the third option

The theater sells two types of tickets: adult tickets for $18 and
child tickets for $9.
Last night, the theater sold a total of 221 tickets for a total of
$2466. How many adult tickets did the theater sell last night?

Answers

The answer to your question is 137

What is the value of x in the equation 1/3 X- 2/3= -18
-56
0-52
52
56

Answers

Answer:

x = - 52

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{3}[/tex] = - 18 ( multiply through by 3 to clear the fractions )

x - 2 = - 54 ( add 2 to both sides )

x = - 52

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {b. \:-52}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex] \frac{1}{3} x - \frac{2}{3} = - 18\\[/tex]

➺[tex] \: \frac{1}{3} x = - 18 + \frac{2}{3}\\ [/tex]

➺[tex] \: \frac{1}{3} x = \frac{ - 18 \times 3}{1 \times 3} + \frac{2}{ 3} \\[/tex]

➺[tex] \: \frac{1}{3} x = \frac{ - 54 + 2}{3}\\ [/tex]

➺[tex] \: \frac{1}{3} x = \frac{ - 52}{3} \\[/tex]

➺[tex] \: x = \frac{ - 52 \times 3}{3}\\ [/tex]

➺[tex] \: x = - 52\\[/tex]

[tex]\sf\pink{Therefore, \:the \:value \:of\: x\:is \:-52.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]

[tex] \frac{1}{3} \times ( - 52) - \frac{2}{3} = - 18\\[/tex]

➼[tex] \: \frac{ - 52}{3} - \frac{2}{3} = - 18\\[/tex]

➼[tex] \: \frac{ - 52 - 2}{3} = - 18\\[/tex]

➼[tex] \: \frac{ - 54}{3} = - 18\\[/tex]

➼[tex] \: - 18 = - 18\\[/tex]

➼ L. H. S. = R. H. S.

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

help me with this please. classify the following triangle
A.right
B.isosceles
C.equilateral
D. abtuse
E.acute
F.scalene​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

A, B, and, D

Step-by-step explanation:

I'm not 100% sure but i'm pretty sure these are it.

Hope thus helps!

Simplify (−34.67) to the power of 0

Answers

Answer:

-1

Step-by-step explanation:

anything to the power of zero is always going to be 1 or -1

find the percentage profit when a car was bought for 60,000k and sold for 140,000k.​

Answers

Step-by-step explanation:

profit = sold price - bought price

= 140,000 - 60,000 k

= 80,000 k

% profit = (80,000/60,000)×100

= 133.33 %

how do i solve for x? thank you!

Answers

Answer:

[tex]x = \frac{7}{2}[/tex]

Step-by-step explanation:

[tex]6^{x-1} = 36 \sqrt6\\\\6^{x-1} = 6^2 \times 6^{\frac{1}{2}}\\\\6^{x-1} = 6^{2 + \frac{1}{2} }[/tex]                        [tex][ \ a^x \times a^ y = a^{x+ y} \ ][/tex]

[tex]x - 1 = 2 + \frac{1}{2}[/tex]                          [tex][ \ b^x = b^y => x = y \ ][/tex]

[tex]x = 2 + \frac{1}{2} + 1\\\\x = 3 + \frac{1}{2} \\\\x = \frac{6+ 1}{2} \\\\x = \frac{7}{2}[/tex]

Answer:

x = 3.5

Step-by-step explanation

       

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] and [tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]

Then

36[tex]\sqrt{6}[/tex] = 6² × [tex]6^{\frac{1}{2} }[/tex] = [tex]6^{(2+0.5)}[/tex] = [tex]6^{2.5}[/tex]

Thus

[tex]6^{x-1}[/tex] = [tex]6^{2.5}[/tex]

Since the bases on both sides are equal, both 6, equate the exponents

x - 1 = 2.5 ( add 1 to both sides )

x = 3.5

find the value of √(6-3√5)​

Answers

Answer:

There is no answer

Step-by-step explanation:

because 3√5=6,7082039232 > 6

So 6-3√5 < 0

But √x always >0

So there is no answer

i need help asap Please ​

Answers

Answer: F. is a linear relation.

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Equation of the eventual line:

(y-4)/(5-4) = x

y-4 = x

y = x + 4

this equation can’t be used to determine the last three values. In fact, for examples:

7 = 2 + 4

7 = 6 (false)

So the relation is non linear

The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.

Answers

Answer:

Correct Answer: A.

Step-by-step explanation:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

Which choice is the range of f(x)=√x−3−1 ASAP

Answers

Range: [0,∞),{y|y≥0}

Evaluate 5 x3 - 2 + 7 when x = -2.

Answers

Answer:

57

Step-by-step explanation:

5|x^³-2|+7

let x=-2

5|(-2)^3-2|+7

work inside the absolute value first

5|-8-2|+7

5|-10|+7

Take the absolute value, which make it positive

5 *10+7

multiply

50+7

=57

nakita ko lng po yan but hope that helpsツ

I think it’s 57 the work above looks good^

Is Integer a Rational Number?

Answers

Hey there!

Before we get to know an Integer and Rational Number, we have to know the Real Number system first.

1. What is Real Number System?

Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.

But do you know that the Real Number system can be broken into two categorizes? And what are them?

Real Numbers can be broken into these main two categorizes which are:

Irrational NumberRational Number

These numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!

Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.

2. What is Rational Number?

Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that approximations aren't considered as rational numbers. Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as Irrational Number. Also if infinity/endless decimal can be written in fraction form as well, they are considered as Rational Number too!

Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:

Integers - Whole number or number without fraction or decimal.Fractions and Decimals that can be written in fraction form.

And Integers can also be broken into:

Negative IntegersZeroPositive Integers

3. Conclusion and Answer

Since Integers are subset of Rational Number, we can conclude that Integers are Rational Number.

Hope this helps, and let me know if you have any doubts regarding Real Number system.

Combining functions: Consider functions f and g.

Answers

Answer:

option C

Step-by-step explanation:

Help me on this pls!!!!!!

Answers

Step-by-step explanation:

bla bla bla bla123222222333333

Look below at the picturess!!! pls help me i will give you 100 points !

Answers

Answer:

1/4

Step-by-step explanation:

because there 25% change

Answer:

for the blue its 1/4 or 2/8 and not likely.

For the yellow one it is 7/8 and likely.

A kite is staked to the ground and blowing in the wind. It currently has a string let out to a length of 45 meters. It has an altitude of 38 feet. To the nearest tenth of a degree, find the angle of elevation. ______°

Answers

Answer:

40.2

Step-by-step explanation:

To better analyze this problem, we can first draw a picture. Looking at the one attached, we can see that the stake is represented by the point in the bottom right of the screen, and the kite is 45 meters away from it, representing the 45. Then, the height is 38, and this is directly above the 45 meters away from the stake.

This forms a right triangle, and we can use sohcahtoa to help use. As we don't have the hypotenuse, we can use tan. Tan(θ) = opposite/adjacent, or 38/45. Thus, arctan(38/45) = θ, and plugging that into a calculator, we get 40.2 as our answer

Consider the following system of two equations.



{y=−8x+10
y=x−8


What are the coordinates (x,y) of the solution to the system of equations?



Enter the coordinates in the space provided.

Answers

y & x = 5/4, 8 .........



A piece of ribbon is x inches long. Find the total length of 7 equal pieces of ribbon. Express the answer in terms of x.

Answers

Answer:

7x

or 7*x

Step-by-step explanation:

Answers the question in the picture

Answers

Answer:

see explanation

Step-by-step explanation:

- 6 would represent a $6 debt

- 6 would represent 6 feet below sea level

10.
Consider the number 1750
Find the least number which must be added so as to get a perfect square?
Find the square root of the number obtained?​

Answers

Answer:

if you add 14 to 1750 you will get 1764 which equals 42²

Step-by-step explanation:

If f(x) = 4x1/2 , find f(4)

Answers

Answer:

f (4) = 8

Step-by-step explanation:

f (x) =2

2 x 4 = 8

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