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alina1380 [7]
3 years ago
7

If f(x) = 4(3x - 5), find f-1(x)

Mathematics
1 answer:
deff fn [24]3 years ago
7 0

Answer:

f^{-1}(x) =  \frac{1}{12}(x+20)

Step-by-step explanation:

Given: f(x) = 4(3x - 5)

Is required to find f⁻¹(x)

f(x) = y = 4(3x - 5)

∴ y = 4 * 3x - 4 * 5

∴ y = 12x - 20 ⇒ add 20 to both sides

∴ y + 20 = 12x ⇒ divide both sides by 12

∴ \frac{1}{12} (y+20) = x

Replace the places of x and y.

∴ y=\frac{1}{12} (x+20)

∴ f^{-1}(x) =  \frac{1}{12}(x+20)

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GenaCL600 [577]
We know that

At sea level, the height is 0 and
the pressure is 98 kilopascals

At 1000 ft, the height is 1000 and
the pressure <span>decreases about 11.41%

</span>i(100%-11.41%)/100----> (0.8859)

therefore
1) at 1000 ft--------> the pressure is 98*(0.8859)----------> 86.82 kilopascals
2) at 2000 ft--------> the pressure is 86.82*(0.8859)-------> 76.91 kilopascals
3) at 3000 ft--------> the pressure is 76.91*(0.8859)-------> 68.14 kilopascals
4) at 4000 ft---------> the pressure is 68.14*(0.8859)-------> 60.36 kilopascals


the answer is
<span>The pressure at an altitude of 4000 m is about </span>60.36 kilopascals
7 0
3 years ago
What is the slope of the line?<br> y=54x−13π
Grace [21]
If the equation is in the form of y = mx + C, where m and C are real numbers, the slope (which means gradient) of the line is the coefficient of x (I.e. the number to the left of x in simple language), which is m.

In this case, m = 54 and C = -13pie. Both are real numbers, which means that this equation satisfies the form of y = mx + C

m is the coefficient of x, which is 54. 54 is the gradient of this line, which means that for every 54 y-axis units the line increases, the line increases 1 x-axis unit.

Hope this helps! :)
4 0
3 years ago
Find the geometric mean of 24 and 32
Maru [420]

Answer:

27√39

Step-by-step explanation:

To calculate the geometric mean we need to first of all multiply 24 and 32 and take the square root of it (i.e. 24*32 is 768, √768 is 27.712.....). However, in this case, we need to represent the answer in a simplified surd. To do this we need to find the highest possible perfect square that is below 768. Here it is 27 because 27*27 equals 729. Now we can go ahead and subtract 768 by 729. We get 39. So now we got two different surds. √729 and √39. We can simplify the √729 to 27. Thus our answer is the combination of both 27*√39 or 27√39.

8 0
3 years ago
Read 2 more answers
X + 6y = 2 4x - 3y = 10 Pick the first step to solving this system of equations using the addition method.
podryga [215]
<span>This one is the correct answer----->Multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together.

</span><span>X + 6y = 2 ....top
</span><span>4x - 3y = 10...bottom

if we multiply the bottom equation by 2 .......... =>  8x - 6y = 20
if we add it to the top one..........>(8+1)x +(6-6)y = (20+2)
then we solve for x =>   x = 22/9 

then with the top equation, we solve for y == >  y = -2/27</span>
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3 years ago
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