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3 years ago

8

The graphs of linear function f and g are shown on the grid. Which function is best represented by the graph of g

1 answer:

Serjik [45]3 years ago

7 0

G- y = 1/3x F- y = x

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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>

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
Solve for the value of the function composition brainly.com/question/2142762
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

5 0

3 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

zhenek [66]

Answer:

use sine or cosine rule

Step-by-step explanation:

that's the answer by using the sine rule

8 0

3 years ago

Read 2 more answers

If a 90 degree angle is a right angle, how does 360 degrees make a circle? Not for school,just for thought.

kotykmax [81]

180 is a flat line and if you turn it’s not exactly a circle it seems that way but it just rotating

8 0

3 years ago

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What is the equation of the graph below?

IgorC [24]

ANSWER

$f(x) = (x + 3)^{2} - 1$

EXPLANATION

The vertex of the graph is at

$(-3,-1)$

The equation of the graph in vertex form is given by the formula,

$f(x) = a{(x - h)}^{2} + k$

The above graph has a minimum point, hence
$a > \: 0$

When we put these values into the equation we obtain,

$f(x) = a(x - - 3)^{2} + - 1$

This implies that,

$f(x) = a(x + 3)^{2} - 1$

The point (-2,0) lies on the line.

$a( - 2 + 3)^{2} - 1 = 0$

$a = 1$

$f(x) = (x + 3)^{2} - 1$

The correct answer is D.

6 0

3 years ago

2 inches in 5 seconds Part A Find the unit rate.

Vera_Pavlovna [14]

rate = distance / time Ok, part a is correct, try writing the answer as 2/5

rate = 2/5 = 0.4 in/s

rate = 0.4 in/s

Hi, I'm here is just that the pictures are small, I'm trying to read them

b)

Please upload a picture of part b like the last picture you sent of part a

2/5 = x/ 15

x = 15 x 2 / 5

x = 30/5

x = 6 inches

The result is 6

3 0

1 year ago