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

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]

Answer:

f (4) = 8

Step-by-step explanation:

f (x) =2

2 x 4 = 8

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

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

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.

Answer:

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

Step-by-step explanation:

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.

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

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

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.

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?

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:

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?

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

And Integers can also be broken into:

3. Conclusion and Answer

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

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.

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

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

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

Step-by-step explanation:

bla bla bla bla123222222333333

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!

Answer:

option C

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

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

The answer to your question is 137

Answer:

see explanation

Step-by-step explanation:

- 6 would represent a $6 debt

- 6 would represent 6 feet below sea level

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 %

Answer:

7x

or 7*x

Step-by-step explanation:

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

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