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Mrrafil [7]
3 years ago
5

Simplify expression: 3^{−(4a+1)} −3^{−(4a−1)} + 3^{−4a}

Mathematics
1 answer:
lyudmila [28]3 years ago
3 0
3^{-(4a+1)}-3^{-(4a-1)} + 3^{-4a} =3^{-4a-1 }-3^{- 4a+1 } + 3^{-4a}=\\ \\=3^{ -4a }*3^{-1}-3^{ - 4a }*3^1 + 3^{-4a} =3^{-4a}(3^{-1}-3+1)=3^{ -4a }*(\frac{1}{3}-2)=\\ \\=3^{ -4a }*(-1\frac{2}{3})=3^{ -4a }*(-\frac{5}{3})=3^{ -4a }*(-5)*\frac{1}{3} =-5 *3^{ -4a }*3^{-1}=\\ \\ =-5 *3^{ -4a +(-1)}=-5 *3^{ -4a -1}


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There are two jobs you can apply for. the first job pays $22,000 the first year, with raises of $4,000 each year thereafter. the
jasenka [17]
We let the number of years that the two jobs will have the same payment be denoted as t. Equating the wages of these two jobs after t - 1 years will give us an equation of,
                          22,000 + 4000(t -1) = 26,000 + 2000(t - 1)
The value of t from the generated equation is 3. Therefore, after 3 years the jobs will be paying the same wages.
7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=9x-3%20%5Cleqslant%2011x%20-%203" id="TexFormula1" title="9x-3 \leqslant 11x - 3" alt="9x-3 \l
AURORKA [14]

Answer:

0 ≤x

Step-by-step explanation:

9x-3 ≤11x-3

Subtract 9x from each side

9x-9x-3 ≤11x-9x-3

-3 ≤2x-3

Add 3 to each side

-3+3 ≤2x

0 ≤2x

Divide by 2

0/2 ≤2x/2

0 ≤x

6 0
3 years ago
One machine makes 8 robots every 4 hours. How many robots will that machine make in 12 hours
Nikitich [7]
The machine will make 24 robots
4 0
2 years ago
Can somebody help me with this math problem?
Travka [436]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
WILL GIVE BRAINLIEST
Alja [10]

A. The pair of linear equations are: x + y = 55 and y = x + 25

B. Number of time she spend running everyday is: 15 minutes.

C. It is not possible.

<h3>How to Write a System of Linear Equations?</h3>

A system of equations consist of linear equations that have unknown variables whose values make the linear equations in the system true.

<u>Part A:</u> To write a pair of linear equations, do the following,

Let x represent the time Jackie runs

Let y represent the time Jackie dances

We are given that, Jackie runs and dances for a total of 55 minutes every day, therefore, the first linear equation would be:

x + y = 55 --> equation 1

We are also given that Jackie dances for 25 minutes longer than she runs, therefore, the second linear equation would be:

y = x + 25 --> equation 2

Therefore, the two pair of linear equations that shows the relationship between the number of minutes Jackie runs and dances everyday are:

x + y = 55

y = x + 25

Part B: Substitute y = (x + 25) into equation 1

x + y = 55 --> equation 1

x + x + 25 = 55

2x + 25 = 55

2x = 55 - 25

2x = 30

x = 15

Therefore, the number of time she spend running everyday is: 15 minutes.

Part C:

If she spent 45 minutes dancing (y = 45), and x = 15, substitute the values into x + y = 55 to find out if it is possible.

15 + 45 = 55

60 = 55 (not true)

Therefore, it is not possible.

Learn more about the system of equations on:

brainly.com/question/13729904

#SPJ1

8 0
2 years ago
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