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kondaur [170]
4 years ago
8

Which of the following steps indicates the subtraction property of equality when solving the equation 3x + 14 = –9x – 8? Questio

n 10 options: A) 3x + 14 – 14 = –9x – 8 + 8 B) 3x + 14 – 8 = –9x – 8 C) 3x + 14 – 14 = –9x – 8 – 14 D) 3x + 14 + 8 = –9x – 8 + 8
Mathematics
1 answer:
Anastasy [175]4 years ago
4 0

Answer:

3x + 14-14 = –9x – 8-14

Step-by-step explanation:

3x + 14 = –9x – 8

Subtract 14 from each side using the subtraction property of equality

3x + 14-14 = –9x – 8-14

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The number N of cars produced at a certain factory in 1 day after t hours of operation is given by Upper N (t )equals 800 t minu
Elden [556K]

Answer:

The cost C as a function of t is C(t) = 30,000 + 6,400,000 t - 40,000 t²

Step-by-step explanation:

The function N(t) = 800 t -  5t², represents the number of cars produced at a time t hours in a day, where 0 ≤ t ≤ 10

The function C(N) = 30,000 + 8,000 N, represents the cost C​ (in dollars) of producing N cars

We need to find The cost C as a function of the time t

That means Substitute N in C by its function by other word find the composite function (C о N)(t)

∵ C(N) = 30,000 + 8,000 N

∵ N(t) = 800 t - 5 t²

- Substitute N in C by 800 t - 5 t²

∴ C(N(t)) = 30,000 + 8000(800 t - 5 t²)

- Multiply the bracket by 8000

∴ C(N(t)) = 30,000 + 8000(800 t) - 8000(5 t²)

∴ C(N(t)) = 30,000 + 6,400,000 t - 40,000 t²

- C(N(t) = C(t)

∴ C(t) = 30,000 + 6,400,000 t - 40,000 t²

The cost C as a function of t is C(t) = 30,000 + 6,400,000 t - 40,000 t²

5 0
3 years ago
Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006,
anastassius [24]

Answer:

<h2>A. <em><u>2</u></em><em><u>1</u></em><em><u>4</u></em><em><u>,</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em></h2>

Step-by-step explanation:

<h3>#CarryOnLearning</h3>

{text} { hope it helps}}

3 0
3 years ago
Given f(x)=4x+5 and g(x)= x^2+x; find (f∘g)(-5)<br> Please show all steps thank you
Greeley [361]

Answer:

(f\circ g)(-5)=85

Step-by-step explanation:

We are given:

\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x

And we want to find:

(f\circ g)(-5)

This is equivalent to:

\displaystyle =f(g(-5))

So, we will evaluate g(-5) first, which yields:

\displaystyle g(-5)=(-5)^2+(-5)=25-5=20

So:

=f(g(-5))=f(20)

Then:

\displaystyle f(20)=4(20)+5=80+5=85

Therefore:

(f\circ g)(-5)=85

6 0
3 years ago
Help please. Having some trouble with this question
xeze [42]

Answer:

The answer to your question is 55 ft

Step-by-step explanation:

Data

Person's height = 5 ft

Person's shadow = 10 ft

Tree's height = ?

Tree's shadow = 110 ft

- Use the Thales' theorem to solve this problem

 Person's height / Person's shadow = Tree's height / Tree's shadow

- Substitution

                     5 / 10 = x / 110

-Solve for x

                     x = 5 (110) / 10

-Simplification

                     x = 550 / 10

-Result

                     x = 55 ft

-Conclusion

The tree is 55 ft height

5 0
3 years ago
There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does t
patriot [66]
The answer is a. <span>It represents a linear function because there is a constant rate of change. This can be done the opposite way, but lets use minutes as x and hours as y. Every time y increases by 1, x increases by 60. This means there is a constant rate of change of 1 (rise) over 60 (run). A linear equation must have a constant rate of change.</span>
6 0
3 years ago
Read 2 more answers
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