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AveGali [126]
2 years ago
6

Find the inverse of each function.

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
3 0

as you should know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".

\stackrel{f(x)}{y}=\sqrt{x}-5\implies \stackrel{\textit{quick switcheroo}}{x=\sqrt{y}-5}\implies x+5=\sqrt{y} \implies (x+5)^2=y \\\\\\ \stackrel{F~O~I~L}{(x+5)(x+5)}=y\implies x^2+10x+25=\stackrel{f^{-1}(x)}{y}

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Put these numbers from least to greatest value.<br> 22/7 , square root of 3, 16/4, square root of 5
Crank
From least to greatest is  square root of 3, square root of 5, 22/7 , 16/4 
  hope it help

8 0
2 years ago
What are the coordinates of the point on the directedline segment from K(-5,-4) to L(5,1) that partitionsthe segment into a rati
Diano4ka-milaya [45]
You can solve this either just plain algebra or with the use of trigonometry.
In this case, we'll just use algebra.
 
So, if we let M be the the point that partitions the segment into a ratio of 3:2, we have this relation:
KM/ML = 3/2
KM = 1.5 ML

We also have this:
KL = KM + ML
Substituting KM,
KL = (3/2) ML + ML
KL = 2.5 ML

Using the distance formula and the given coordinates of the K and L, we get the length of KL
KL = sqrt ( (5-(-5)^2 + (1-(-4))^2 ) = 5 sqrt(5)

Since,
KL = 2.5 ML

Substituting KL,
ML = (1/2.5) KL = (1/2.5) 5 sqrt(5) = 2 sqrt(5)

Using again the distance formula from M to L and letting (x,y) as the coordinates of the point M
ML = 2 sqrt(5) = sqrt ( (5-x)^2 + (1-y)^2 )   [let this be equation 1]

In order to solve this, we need to find an expression of y in terms of x. We can use the equation of the line KL.
The slope m is:
m = (1-(-4))/(5-(-5) = 0.5

Using the general form of the linear equation:
y = mx +b
We substitue m and the coordinate of K or L. We'll just use K.
-5 = (0.5)(-4) + b
b = -1.5

So equation of the line is
y = 0.5x - 1.5      [let this be equation 2]

Substitute equation 2 to equation 1 and solving for x, we get 2 values of x,
x=1, x=9

Since 9 does not make sense (it does not lie on the line), we choose x=1.
Using the equation of the line, we get y which is -1.

So, we get the coordinates of point M which is (1,-1)
3 0
2 years ago
The dimensions of a triangular prism are shown in the diagram.
KatRina [158]

Answer:

The answer is 192.

Step-by-step explanation:

8 0
3 years ago
Sam is 27 years old his age is 6 years greater than 3 times Brandon's age which method can be used to determine Brandon's age
ASHA 777 [7]

Answer:

(27+6)÷3

Step-by-step explanation:

(33) ÷ 3

11

Brandon is 11 years old.

7 0
3 years ago
Dennis wants to save $189 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many
Butoxors [25]

Answer:

x = 13.5 weeks

Step-by-step explanation:

Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.

189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.

5 0
2 years ago
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