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VladimirAG [237]
2 years ago
6

6. For every 9 customers, the chef prepares 2 loaves of bread.

Mathematics
1 answer:
Butoxors [25]2 years ago
4 0

Step-by-step explanation:

Make sure to see the photo I tried to explain every part there

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PLEASE HELP ASAP <br>are f(x)=4/x-2-1 and g(x)=3/x+2-2 inverses of each other?​
GREYUIT [131]

Answer:

To find the inverse of:

f (x)=\dfrac{4}{x-2}-1

Set the function to y:

\implies y=\dfrac{4}{x-2}-1

Rearrange to make x the subject:

\implies y+1=\dfrac{4}{x-2}

\implies (y+1)(x-2)=4

\implies xy-2y+x-2=4

\implies xy+x=2y+6

\implies x(y+1)=2y+6

\implies x=\dfrac{2y+6}{y+1}

Swap x and y:

\implies y=\dfrac{2x+6}{x+1}

Change y to the inverse of the function sign:

\implies f\:^{-1}(x)=\dfrac{2x+6}{x+1}

Rewrite g(x) as a fraction:

g(x)=\dfrac{3}{x+2}-2

\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}

\implies g(x)=\dfrac{3-2(x+2)}{x+2}

\implies g(x)=\dfrac{3-2x-4}{x+2}

\implies g(x)=-\dfrac{2x+1}{x+2}

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

4 0
1 year ago
(1 point) In an experiment, a ball is drawn from an urn containing 8 orange balls and 12 yellow balls. If the ball is orange, th
klemol [59]

Answer:

a) 8

b) 12

Step-by-step explanation:

With orange: 2×2×2 = 8

With yellow: 2×2 = 4

Total = 8+4 = 12

3 0
3 years ago
In a theatre seats are arranged in rows. A teacher took her team of 50 students to the theatre for a field trip.there are 6 rows
lord [1]
48*465=8462*585655*446=745
7 0
3 years ago
Write an equation for the line passing through the points (-5,15) and (20,25). Show how you found your answer.
olasank [31]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-5, 15) and (20, 25). substitute:

m=\dfrac{25-15}{20-(-5)}=\dfrac{10}{25}=\dfrac{2}{5}\\\\y-15=\dfrac{2}{5}(x-(-5))\\\\y-15=\dfrac{2}{5}(x+5)\qquad|\text{use distributive property}\\\\y-15=\dfrac{2}{5}x+2\qquad|\text{add 15 from both sides}\\\\y=\dfrac{2}{5}x+17\qquad|\text{multiply both sides by 5}\\\\5y=2x+85\qquad|\text{subtract 2x from both sides}\\\\-2x+5y=85\qquad|\text{change the signs}\\\\2x-5y=-85

Answer:

point-slope form: y-15=\dfrac{2}{5}(x+5)

slope-intercept form: y=\dfrac{2}{5}x+17

standard form: 2x-5y=-85

7 0
3 years ago
At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the s
Aleksandr-060686 [28]

Answer:

96

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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