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Alex
7 months ago
13

A piece of manufacturing equipment can produce enough items to fill an order

Mathematics
1 answer:
Juli2301 [7.4K]7 months ago
7 0

It take the auxiliary equipment to fill the order working alone x is 70/3

<h3>How long would it take?</h3>

Formulate based on the conditions stated:

10 * x/(10+x) = 7

In a defined fraction, the denominator cannot be zero.

10+x is not equal 0

Equation from inequality:

10+x=0

Unknown terms should be moved to the left side of the equation:

x = -10

Equation to inequality conversion

x is not equal to 10

As the domain, append the inequality:x is not equal to 10

Divide the common denominator by both sides of the equation:

10x(10+x)/10+x = 7(10+x)

Cut the fractions in half:

10x = 7(10+x)

Use the law of multiplicative distribution

10x = 70 +7x

Unknown terms should be moved to the left side of the equation:

10x-7x=70

combining similar terms 3x =70

Subtract the coefficient of the variable from both sides of the equation:

x = 70/3

the intersection, then: 70/3

get the outcome:x = 70/3

It take the auxiliary equipment to fill the order working alone x is 70/3

To learn more about inequality conversion refer to:

brainly.com/question/25275758

#SPJ1

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3 years ago
Consider function f.
tekilochka [14]

Given:

The function is:

f(x)=\sqrt{7x-21}

To find:

The steps of finding the inverse function f^{-1}(x).

Solution:

We have,

f(x)=\sqrt{7x-21}

The steps of finding the inverse function are:

Step 1: Substitute f(x)=y.

y=\sqrt{7x-21}

Step 2: Interchange x and y.

x=\sqrt{7y-21}

Step 3: Taking square on both sides, we get

x^2=7y-21

Step 4: Adding 21 on both sides, we get

x^2+21=7y

Step 5: Divide both sides by 7.

\dfrac{1}{7}x^2+3=y

Step 6: Substitute y=f^{-1}(x).

\dfrac{1}{7}x^2+3=f^{-1}(x), where x\geq 0.

Therefore, the inverse of the given function is f^{-1}(x)=\dfrac{1}{7}x^2+3 and the arrangement of steps is shown above.

7 0
3 years ago
A local 4-H club surveyed its members, and the following information was obtained: 14 members had rabbits, 10 had goats, 4 had b
Fiesta28 [93]
A) 68.29%
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8 0
3 years ago
Which numbers can be placed in the blank to make the value of this expression a negative number? (-16) -​
Genrish500 [490]

Answer:

All numbers greater than -16.

Step-by-step explanation:

Hello!

To keep this expression negative, we can subtract a positive number (numbers greater than or equal to 0), to give us an even smaller negative number.

Another option is to add a negative number so that the value is still negative. We can add any number that is larger than -16.

Answer: All numbers greater than -16

3 0
2 years ago
30 POINTS.<br> Please simplify this with all steps<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B5i%5E3t%5E4%7D%7B7%7D%29-2%2
lesantik [10]
Simplify the following:
(5 i^3 t^4)/7 - 2
i^3 = i^2×i = (-1) i = -i:
(5×-i t^4)/7 - 2
Put each term in (5 (-i) t^4)/7 - 2 over the common denominator 7:
(5 (-i) t^4)/7 - 2 = (-5 i t^4)/7 - 14/7:
(-5 i t^4)/7 - 14/7
(-5 i t^4)/7 - 14/7 = (-5 i t^4 - 14)/7:
Answer:  (-5 i t^4 - 14)/7
8 0
2 years ago
Read 2 more answers
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