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cluponka [151]
2 years ago
5

I need help with all of them

Mathematics
2 answers:
olga nikolaevna [1]2 years ago
6 0
7. Is 45
10. is 15
8.32
katrin [286]2 years ago
3 0
5. 14
6. 9
7. 45
8. 32
9. 16
10. 15
11. 24
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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
charle [14.2K]

ANSWER

See below

EXPLANATION

Given

f(x) =  \frac{ {x}- 9 }{x + 5}

and

g(x) =   \frac{ - 5x - 9}{x - 1}

(f \circ \: g)(x)=  \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}

(f \circ \: g)(x)=  \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }

Expand:

(f \circ \: g)(x)=  \frac{ \frac{ - 5x - 9 - 9x  + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }

(f \circ \: g)(x)=  \frac{ \frac{ - 5x - 9x  + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }

(f \circ \: g)(x)=  \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }

Since the denominators are the same, they will cancel out,

(f \circ \: g)(x)= \frac{ - 14x}{ - 14}  = x

8 0
3 years ago
Does anyone know how to do this HW??
Helga [31]

Answer:

i once took a pic of my HW on this app and got it finished in under 10 minutes

5 0
3 years ago
What is the first quartile of this data set?
xxMikexx [17]
First we have to find the median

The median is 19 when we cross off all the numbers

Now we have 11 12 15 16 and 17 in the first quartile


Cross 11 and 12 and cross 16 and 17, off which leaves you with 15


Answer is option d

6 0
3 years ago
PLEASE HELP ASAP WILL GIVE 30 POINTS
kykrilka [37]

Answer:

C. \displaystyle (−∞, 5) ∪ (5, ∞)

Step-by-step explanation:

This is obvious the correct answer, considering that the denominator can NEVER equal zero.

I am joyous to assist you anytime.

3 0
3 years ago
The vertices of a triangle are located at L(4, –3), M(1, –3), and N(1, 0). What is the approximate perimeter of triangle LMN?
adelina 88 [10]

Answer:

Step-by-step explanation:

you need to find the distance between points L, M, N to know the length of sides LM, MN, NL

use the distance formula

d= √(x2-x1)² +(y2-y1)², where the points are (x1, y1) and (x2, y2)

LM = √(4-1)² + (-3- -3)² = √3² + 0² = 3

MN = √(1-1)² + (-3-0)² = √0² + 9 = 3

NL = √(4-1)² + (-3-0)² = √3² + 9 = √18 = 3√2

The perimeter is LM+MN+NL = 3+3+3√2 = 6+3√2 ≈ 10.243

4 0
3 years ago
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