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wlad13 [49]
3 years ago
11

Find a formula for the inverse of the given function. f(x) = 3x

Mathematics
1 answer:
notka56 [123]3 years ago
3 0
The inverse would be f-1(x)=x/3
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Simplify expression:<br> 3^{−(4a+1)} −3^{−(4a−1)} + 3^{−4a}
lyudmila [28]
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}


3 0
3 years ago
What is the solution to 4x -10 &gt; X - 12?<br> (-0, -18)<br> (-18.00)<br> 06-0, 18)<br> (18,6)
mixas84 [53]

Answer:

\large\boxed{x>-\dfrac{2}{3}\to x\in\left(-\dfrac{2}{3},\ \infty\right)}

Step-by-step explanation:

4x-10>x-12\qquad\text{add 10 to both sides}\\4x-10+10>x-12+10\\4x>x-2\qquad\text{subtract}\ x\ \text{from both sides}\\4x-x>x-x-2\\3x>-2\qquad\text{divide both sides by 3}\\\dfrac{3x}{3}>\dfrac{-2}{3}\\x>-\dfrac{2}{3}

4 0
3 years ago
Read 2 more answers
–4.8(6.3x – 4.18) = –58.56
Ksivusya [100]

answer/work:

-4.8(6.3x - 4.18) = -58.56

-30.24x + 20.064 = -58.56

              -20.064    -20.064

_____________________

-30.24x = -78.624

______   _______

-30.24       -30.24

x = 2.6

<em>hope this helps! ❤ from peachimin</em>

7 0
3 years ago
An airline’s weekly flight data showed a 98% probability of being on time. If this airline has 15,000 flights in a year, how man
alexandr1967 [171]
If there are 15,000 flights, and there is 98% chance of being on time, then 14,700 of the flights will be on time. However, you can't use the data to tell whether a specific flight will be on time, as in the end, a probability is just a probability and not a guarantee. This means if the first 300 flights of an airline is late, that doesn't mean that there is a 100% chance of the rest of the flights being on time, but there is likely just going to be a higher chance of an ontime flight.
6 0
3 years ago
Can someone help me with this question?
andrew11 [14]

Answer:

A = 20.25 sq units

Step-by-step explanation:

to find the area of a square you only need to know the measure of one side -- all other sides will be equal to it

it appears the segment is 4.5 units so you would square that to get the area

A = 4.5²

A = 20.25

4 0
3 years ago
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