Table and graph for y=40x

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.

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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

#learnwithBrainly

5 0

3 years ago

Humans have a normal body temperature of 98.6 F A temperature, x, that differs from normal by at least 2°F is considered unhealt

Romashka-Z-Leto [24]

Answer: 98.6 - x ≥ 2 or x - 98.6 ≥ 2

Step-by-step explanation:

Since, the normal temperature = 98.6° F

Also, the temperature that differs from normal by at least 2°F is considered unhealthy.

If the temperature is x degree F,

Then, we have two conditions,

Condition 1 : x > 98.6,

The difference between 98.6 and x = x - 98.6

Then the inequality be,

x - 98.6 ≥ 2

Condition 2 : x < 98.6

The difference between 98.6 and x = 98.6 - x

Then the inequality be,

98.6 - x ≥ 2

3 0

3 years ago

Click to see the picture how do i do this!

crimeas [40]

Answer:

Look at the pic

Step-by-step explanation:

I hope I did it right...I haven't touched this topic a long time

8 0

3 years ago

Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets

nydimaria [60]

"The mean study time of students in Class B is less than students in Class A" is the statement among the following choices given in the question that is true for the data sets. The correct option among all the options that are given in the question is the second option or option "B". I hope the answer helped you.

3 0

3 years ago

Read 2 more answers

Can someone please help me?

Ne4ueva [31]

9514 1404 393

Answer:

x = 6
y = 55

Step-by-step explanation:

Angles opposite congruent sides are congruent, so base angles D and F of this isosceles triangle have the same measure:

y = 55

__

The sum of angles in the triangle is 180°, so ...

55° +(11x +4)° +55° = 180°

11x = 66 . . . . . . . . divide by °, subtract 114

x = 6 . . . . . . . . . . .divide by 11

The values of x and y are 6 and 55, respectively.

5 0

3 years ago