1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serggg [28]
3 years ago
9

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

Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0

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>
  1. If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
  2. Solve for the value of the function composition brainly.com/question/2142762
  3. If g(x) is the inverse of f(x), what is the value of f(g(2)) brainly.com/question/1517760

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

#learnwithBrainly

You might be interested in
Estimate show how you estimated 512 divided by 52
Bond [772]
52 = 50

512= 500

500/50 = 10
4 0
3 years ago
Please help me ASAP, I NEED UR HELP?​
torisob [31]

Answer:

3) yes, it is in the shaded region

4) no, it lies on a less-than line

5) yes, it lies on a greater-than-or-equal-to line

6) no, it isnt in the shaded region

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I WILL AWARD BRAINLIEST!! PLEASE HELP!!
den301095 [7]

Answer:

1) x = (a+c)/b

2) The equation is correct no matter what value x takes.

Step-by-step explanation:

1) a−(a+b)x=(b−a)x−(c+bx)

<=> a - ax - bx = bx - ax - c - bx

<=> a - ax - bx - (bx - ax - c - bx) = 0

<=> a - ax - bx - bx + ax + c + bx = 0

<=> a - ax + ax - bx - bx + bx + c = 0

<=> a - bx + c = 0

<=> bx = a + c

If b ≠ 0, x = (a+c)/b

2) 2(3x−5a)+9(2a−7b)+3(5a−2x)=0

<=> 2×3x + 2×(-5a) + 9×2a + 9× (-7b) + 3×5a + 3×(-2x) = 0

<=> 6x -10a + 18a - 63b + 15a - 6x = 0

<=> (6x - 6x) + (15a - 10a + 18a) - 63b = 0

<=> 23a - 63b = 0

<=> 23a = 63b

=> a = 63b/23

with all values of x, the equation is correct.

3 0
3 years ago
Read 2 more answers
What is the explicit formula for this sequence?
ddd [48]

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

6 0
3 years ago
50 points!!!
fenix001 [56]

Answer: A

Step-by-step explanation: once you line the numbers up in order from least the greatest, the two middle numbers will be 12. Add 12 + 12 and you get 24. Then divide it by 2 and get 12. That is your median. Your 1st quartile will be 10. Your second quartile will be 15. Your minimum number is 4 and your maximum number is 18.

6 0
3 years ago
Other questions:
  • If n + 5 = 16<br> And y x 6= 48 <br> What is n + y x 20?
    6·1 answer
  • Math 1/3 divided by 3/8=
    5·1 answer
  • In a class, 6 students are girls who wear glasses. 14 students wear glasses. If there are 16 girls in the class, how many boys w
    14·2 answers
  • If f(x)=4x+9+2, which inequality can be used to find the domain of f(x
    7·1 answer
  • The combination for opening a safe is a four-digit number made up of different digits. How many different combinations can you m
    11·2 answers
  • 1. Petra tenía 49 canicas azules y dos canicas rojas. ¿Cuántas canicas deberá quitar Petra para qu
    5·2 answers
  • Which expression is equivalent to 2g53 4h23<br>​
    7·1 answer
  • Simplify the expression:<br> 2(2 + 4k)
    9·2 answers
  • What does it mean to isolate the variable?
    7·1 answer
  • Anton is buying supplies for a charity event.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!