Find the area of a circle with a radius of 8.

grandymaker [24]

The answer is: [C]: " f(c) = $\frac{9}{5}$ c + 32 " .
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Explanation:
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Given the original function:

" c(y) = (5/9) (x − 32) " ; in which "x = f" ; and "y = c(f) " ;
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→ Write the original function as: " y = (5/9) (x − 32) " ;

Now, change the "y" to an "x" ; and the "x" to a "y"; and rewrite; as follows:
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x = (5/9) (y − 32) ;

Now, rewrite THIS equation; by solving for "y" ; in terms of "x" ;
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→ That is, solve this equation for "y" ; with "c" as an "isolated variable" on the
"left-hand side" of the equation:

We have:

→ x = " ( $\frac{5}{9}$ ) * (y − 32) " ;

Let us simplify the "right-hand side" of the equation:
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Note the "distributive property" of multiplication:
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a(b + c) = ab + ac ; AND:

a(b – c) = ab – ac .
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As such:
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" ( $\frac{5}{9}$ ) * (y − 32) " ;

= [ ( $\frac{5}{9}$ ) * y ] − [ ( $\frac{5}{9}$ ) * (32) ] ;

= [ ( $\frac{5}{9}$ ) y ] − [ ( $\frac{5}{9}$ ) * ( $\frac{32}{1})$ " ;

= [ ( $\frac{5}{9}$ ) y ] − [ ( $\frac{(5*32)}{(9*1)}$ ] ;

= [ ( $\frac{5}{9}$ ) y ] − [ ( $\frac{(160)}{(9)}$ ] ;

= [ ( $\frac{5y}{9}$ ) ] − [ ( $\frac{(160)}{(9)}$ ] ;

= [ $\frac{(5y-160)}{9}$ ] ;
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And rewrite as:

→ " x = $\frac{(5y-160)}{9}$ " ;

We want to rewrite this; solving for "y"; with "y" isolated as a "single variable" on the "left-hand side" of the equation ;

We have:

→ " x = $\frac{(5y-160)}{9}$ " ;

↔ " $\frac{(5y-160)}{9}$ = x ;

Multiply both sides of the equation by "9" ;

9 * $\frac{(5y-160)}{9}$ = x * 9 ;

to get:

→ 5y − 160 = 9x ;

Now, add "160" to each side of the equation; as follows:
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→ 5y − 160 + 160 = 9x + 160 ;

to get:

→ 5y = 9x + 160 ;

Now, divided Each side of the equation by "5" ;
to isolate "y" on one side of the equation; & to solve for "y" ;

→ 5y / 5 = (9y + 160) / 5 ;

to get:

→ y = (9/5)x + (160/5) ;

→ y = (9/5)x + 32 ;

→ Now, remember we had substituted: "y" for "c(f)" ;

Now that we have the "equation for the inverse" ;
→ which is: " (9/5)x + 32" ;

Remember that for the original ("non-inverse" equation); "y" was used in place of "c(f)" . We have the "inverse equation"; so we can denote this "inverse function" ; that is, the "inverse" of "c(f)" as: "f(c)" .

Note that "x = c" ;
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So, the inverse function is: " f(c) = (9/5) c + 32 " .
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The answer is: " f(c) = $\frac{9}{5}$ c + 32 " ;
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→ which is:

→ Answer choice: [C]: " f(c) = $\frac{9}{5}$ c + 32 " .
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6 0

3 years ago

Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amoun

Rudiy27

Answer:

She should leave a total of $78.

Step-by-step explanation:

To find this, we first need to find the tip amount. We can do this by multiplying the total by the tip percentage.

$65 * 20% = $13

Now that we have that, we need to add it to the cost.

$65 + $13 = $78

8 0

2 years ago

Y= 4x + 2 put this on a graph please

nirvana33 [79]

....................................................

6 0

2 years ago

The number of picces of art at the musem is shown in the table.

densk [106]

Answer:

The solution is multiple:

A. 15 artists with 2 paintings per artist.

B. 10 artists with 3 painting per artist.

C. 6 artists with 5 painting per artist.

D. 5 artists with 6 paintings per artist.

E. 3 artists with 10 paintings per artist.

F. 2 artists with 15 paintings per artist.

Statement and question complete:

The number of pieces of art at a museum is shown in the table.

Oil paintings 30

Photographs 24

Sketches 21.

The museum is hosting a show for July that features the oil paintings and each artist will show more than 1 painting. How many artists could be featured in the show?

Source: https://educationexpert.net/mathematics/929012.html

Step-by-step explanation:

x = Number of paintings per artist

y = Total number of paintings

x ≥ 2

xy = 30

The solution is multiple:

A. 15 artists with 2 paintings per artist.

B. 10 artists with 3 painting per artist.

C. 6 artists with 5 painting per artist.

D. 5 artists with 6 paintings per artist.

E. 3 artists with 10 paintings per artist.

F. 2 artists with 15 paintings per artist.

8 0

3 years ago

Please help ASAP, last question of my assignment.

mote1985 [20]

Answer:

$1764

Step-by-step explanation:

2800 x 9 = 25200

7% of 25200 = 1764

8 0

3 years ago

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