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geniusboy [140]
3 years ago
14

F(x)

class="latex-formula"> ; g(x) = 8x - 13 Find f(g(x)).
Mathematics
1 answer:
jolli1 [7]3 years ago
8 0

Answer:

f(g(x)) = \sqrt{8x-22}

Step-by-step explanation:

Substitute x = g(x) into f(x), that is

f(g(x))

= f(8x - 13)

= \sqrt{8x-13-9}

= \sqrt{8x-22}

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There are 21 female performers in a dance recital. The ratio of men to women is 4:7. How many men are in the dance recital?
pantera1 [17]

Answer:

12

Step-by-step explanation:

let x be the number of men

4:7 = x:21

4/7 = x/21

7x = 84

x = 12

6 0
3 years ago
Which of the answers are correct? Select all that apply.
Leona [35]

Answer:A, b and also c

Step-by-step explanation:

8 0
3 years ago
Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.
mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

1 \text{ feet} = 0.3048 \text{ meter}

1 \text{ meter} = \frac{1}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}

Now, Feet into inches

1 \text{ feet} = 12\text{ inches}

\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}

\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}

i.e.  17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}

or 17.42 \text{ meter} =57'\frac{232}{381}''

None of these answers is reasonable.

Therefore, Option E is correct.

5 0
3 years ago
For which of the following decreasing functions f does (f−1)′(10)=−1/8
Oduvanchick [21]

Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then

f⁻¹(f(x)) = x   ⇒   (f⁻¹)'(f(x)) • f'(x) = 1   ⇒   (f⁻¹)'(f(x)) = 1/f'(x)

⇒   (f⁻¹)'(b) = 1/f'(a)

Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.

7 0
2 years ago
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 3:4:5. How many cups of onions are needed to make 84 c
Hitman42 [59]
28 is the answer....
7 0
3 years ago
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