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Anastasy [175]
2 years ago
12

Helppppppppppppp pweaseeeeeeeeee T_T

Mathematics
2 answers:
Ber [7]2 years ago
8 0

Answer:

The answer is: 20 23/60

Sophie [7]2 years ago
4 0

Answer:20 23/60

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

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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
2 years ago
Find the range of values of x for which 2x2 – 5x + 2 > 0​
Alchen [17]

Answer:

x < 1/2 and x>2

Step-by-step explanation:

first solve the eqn,

2x2 -5x +2 = 2x2 -4x -x +2 = 2x(x-2) - 1(x-2) = (2x-1)(x-2)

since the questions asks for >,

x < 1/2 and x>2

if the question had asked for <,

1/2<x<2

7 0
2 years ago
Pls help Question On the photo
Mrac [35]

Answer:

C. In step 2, Cindy should have multiplied both sides of the equation by 2.

Step-by-step explanation:

I'll go through the equation correctly, and then point out what would have happened.

3 = x/2 - 5

Add 5 to both sides. -5 and 5 cancel out.

8 = x/2

What Cindy should have done here is multiply by 2, not divide by 2. It is important to remember that you do the INVERSE operation to cancel out a number.

What would have happened here is that we have an extra step (though either way we still end up with x being 16.)

Correct Step 2:

Multiply both sides by 2. x/2 and 2x cancel out.

x = 16

Incorrect Step 2:

8/2 = (x/2)/2

4 = x/4

Multiply both sides by 4 (this would be the extra step!).

16 = x

8 0
2 years ago
State the commutative property of addition, and provide an example using two different numbers.
I am Lyosha [343]

Answer:

Step-by-step explanation: or takes watever numbers you need , for example 5 + 3 or 3 +5 then add and ur done!

5 0
3 years ago
The length and width of a certain rectangle are both decreased by 50%. If the length and width of the new rectangle are then inc
alina1380 [7]
51% less.

The length is decreased by 50%, which is the same as being multiplied by 0.5, then it's increased by 40% which is another multiplication by 1.4. So the overall change is 0.5 * 1.4 = 0.7, or the newest rectangle is 70% of the size of the original rectangle. And since the area increases by the square, the newest rectangle has 0.7 * 0.7 = 0.49 of the area as the original rectangle. So it has 51% less area than the original rectangle.

5 0
3 years ago
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