Ms. Johnson’s class running a food drive . The 20 students collected 180 cans .

If f(x) = 7+ 4x and g(x) = 1/2,

olchik [2.2K]

270

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ f(x) = 7 + 4x \ }$
$\boxed{ \ g(x) = \frac{1}{2x} \ }$

<u>Question:</u>

What is the value of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(5)? \ }$

<u>The Process:</u>

The form of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ }$ means that f(x) is divided by g(x).

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } \rightarrow \boxed{ \ \frac{f(x)}{g(x)} \ }}$

Let us solve the problem.

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = \frac{7 + 4x}{\frac{1}{2x}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = (7 + 4x) \times \frac{2x}{1} \ }$

Thus, we get $\boxed{{ \ \bigg( \frac{f}{g} \bigg)(x) = 14x + 8x^2 \ }}$

And now, we can calculate the value of $\bigg( \frac{f}{g} \bigg)(5)$ .

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 14(5) + 8(5)^2 \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 70 + 200 \ }$

Thus, the value is 270.

- - - - - - - - - - -

Alternative thinking

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = \frac{7 + 4(5)}{\frac{1}{2(5)}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = (7 + 20) \times 10} \ }$

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 270 \ }}$

<h3>Learn more</h3>

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Keywords: if, f(x), g(x), function, divide by, the value, (f/g)(5), 5, 270

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A building is 240 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

gulaghasi [49]

Answer:

60 in = 240 ft

Step-by-step explanation:

240/4 = 60

—

15 x 4 = 60

9 x 4 = 36

60 x 4 = 240

13 x 4 = 52

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An experiment is conducted to test the claim that james bond can taste the difference between a martini that is shaken and one t

sammy [17]

In hypothesis testing the claim that we have to test always goes into alternative hypothesis. The null hypothesis is negation of claim.

Here the claim to be tested is James bond can taste the difference between a martini that is shaken and one that is stirred.

So negation of this claim is James bond can not taste the difference between a martini that is shaken and one that is stirred.

So the null hypothesis for given experiment is

Null hypothesis: James bond can not taste the difference between a martini that is shaken and one that is stirred.

Alternative hypothesis: James bond can taste the difference between a martini that us shaken and one that is stirred.

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3 years ago

Why is 3-48+30+15 = 0 please give detailed explanation

andrezito [222]

Answer:

0

Step-by-step explanation:

When dealing with an equation that only involves addition and subtraction ...you can solve it juat as it is witout using any special method same applied to equations tht involve only multiplication and division ... because they are an (inverse) of each other... hope it helps

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How many inches are in feet

GaryK [48]

Answer: 12 inches

Explanation:

12 inches = 1 feet

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3 years ago

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