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cupoosta [38]
3 years ago
6

What value of x will make this expression equal to 28.1? A) x=0 is the only value that will make the expression equal to 28.1 B)

x=1 is the only value that will make the expression equal to 28.1 C)The expression will equal 28.1 when x=−3.44 D)Any value of x, except when x=−3.44, will make the expression equal to 28.1

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer:

Any value except -3.44 will make the equation equal to 28.1

Step-by-step explanation:

We are told to multiply the quotient of the fraction by 28.1 to make 28.1. So, it is obvious that the fraction has to simplified to a one. This is possible with any number as whatever the value of x, the numerator and denominator will be equal. But, in the case of -3.44, it will make 5e fraction 0/0, which is undefined and never equal to 1.

I hope this helps

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The cost of producing x bags of dog food is given by C(x) = 800 + 400 + 10x - x where 0 SX 55000. Find the marginal-cost functio
nikdorinn [45]

Answer:

The marginal-cost function is;

c'(x)= (20x-1)/(2√(400 + 10x² - x))

Completed question;

The cost of producing x bags of dog food is given by C(x) = 800 + √(400 + 10x² - x) where 0≤x≤55000. Find the marginal-cost function.

The marginal-cost function is c'(x)=

(Use integers or fractions for any numbers in the expression.)

Step-by-step explanation:

The marginal-cost function is c'(x)= = dC(x)/dx

Where;

C(x) = 800 + √(400 + 10x² - x)

c'(x) = d(800 + √(400 + 10x² - x) )/dx

Using function of function rule of differentiation or chain rule;

c'(x) = (20x-1)×(1/2√(400 + 10x² - x))

c'(x) = (20x-1)/(2√(400 + 10x² - x))

The marginal-cost function is;

c'(x)= (20x-1)/(2√(400 + 10x² - x))

3 0
4 years ago
1.16 is what percent of 58
Nezavi [6.7K]

Answer:

2%

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
the drawing plan for a new CrossFit studio shows a rectangle that is 19.5 inches by 15 inches, as shown below. The scale in the
anzhelika [568]

Answer:

Length = 52 ft

Width = 40 ft

Step-by-step explanation:

<u>Given information</u>:

  • length = 19.5 in
  • width = 15 in
  • scale = 3 in : 8 ft

<u>Scale</u>

\implies \sf 3 \: in : 8 \: ft

\implies \sf 1 \: in : \dfrac{8}{3} \: ft

To find the length and width of the studio in feet, multiply the length and width in inches by 8/3:

\sf Length = 19.5 \times \dfrac{8}{3}=52\:ft

\sf Width = 15 \times \dfrac{8}{3}=40\:ft

Therefore, the length of the actual studio is 52 ft and the width of the actual studio is 40 ft.

4 0
2 years ago
Read 2 more answers
Ethan spends a total of $26.75 on 3 drinks and 5 bags of popcorn. Noah spends a total of $18.50 on 9 drinks and 2 bags of popcor
Bingel [31]

Answer:

$ 4.75

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: price of drinks

let y: bags of popcorn price

SW:

3 * x + 5 * y = 26.75

9 * x + 2 * y = 18.50 => x = (18.5 - 2 * y) / 9

Replacing, we are left with that:

3 * (18.5 - 2 * y) / 9 + 5 * y = 26.75

6.167- 0.67 * y + 5 * y = 26.75

- 0.67 * y + 5 * y = 26.75 - 6.167

4.33 * y = 20,583

y = 20,583 / 4.33

y = 4.75

Now to calculate x:

x = (18.5 - 2 * 4.75) / 9

x = 1

That is, the value of the drinks is $ 1 and the value of bags of popcorn is $ 4.75

6 0
3 years ago
One week, Ashley earned $404.80 at her job when she worked for 22 hours. If she is paid the same hourly wage, how many hours wou
MariettaO [177]
Answer:
20 hours

Explanation:
For this problem, since her hourly rate remains the same, we can set up a proportion to find the amount of hours she worked to make $368.00. The following is how to find the amount of time with proportions:

368.00/404.80 = x / 22
(22 * 368) / 404.80 = x
20 = x

Hence, she would need to work 20 hours to make $368.00.

Cheers.
4 0
2 years ago
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