The graph of f(x) and g(x) are shown below Which of the following is the graph of (g-f)(x)

Mathematics

2 answers:

kow [346]4 years ago

7 0

Answer:

the option is the third for edgenu

Step-by-step explanation:

4,4

anyanavicka [17]4 years ago

5 0

Answer: (g-f)(x)=-4x

Explanation: According to the graph, line created by function f(x) passes through the points (1,-3) and (0,0) and similarly, line created by the function passes through the points (1,1) and (0,0).

Thus, we can find the equation of the lines with help of formula $y-y_1=\frac{y_2-y_1}{x_2-x_1}$ × $(x-x_1)$

so, equation of line created by function f(x)

y+3= $\frac{3-0}{0-1}$ ×(x-1)

y+3= $\frac{3}{-1}$ ×(x-1)

y+3=-3x+3

y=-3x thus function f(x)=-3x

similarly, equation of line created by function g(x)

y=x thus function g(x)=x

Now, we have to find out, (g-f) (x)= g(x)-f(x)= -3x-x= -4x

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Find ST and TR <br> Will mark brainest

vlada-n [284]

Hello there! :D

Firstly, I want you to understand an important concept. This has something to do with absolute value. So, although distance is a number, it is neither positive nor negative. It does not necessarily involve value. So, what we are looking for today will not have a negative sign in front of it. We are simply looking for distance!

Let's start with ST, because the distance between those is smaller and therefore I can better explain this to you. T is at the point 19.1, and S is at the point 14. We need to find the amount of distance between the two. How do we do that?

Subtraction! In order to find this value we can subtract the smaller number from the larger number.

19.1-14= 5.1

ST is 5.1

Now we can look at the distance between TR. We are actually going to add numbers together! We know that T is 19.1. If we were to put a dot at zzero and measure that distance, it would be 19.1. What is the distance from R to zero? That's right! The same principle is there. If we had a dot at zero and we're measuring from 4, the distance would be 7.5 (even though it is negative on the number line).

So, we can add these numbers together!

19.1+7.5= 26.6

TR is 26.6

I hope this helped you and you have a wonderful day,

Kai xx

3 0

3 years ago

The area of an Equilateral triangle is given by the formula A= 3pi squared/4(s)Squared. Which formula represents the length of e

ad-work [718]

Answer:

The formula that represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A) is $\text{s}= \sqrt{ \frac{4 \text{A}}{\sqrt{3} }}$ .

Step-by-step explanation:

We are given the area of an Equilateral triangle which is A = $\frac{\sqrt{3} }{4} \times \text{s}^{2}$ . And we have to represent the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).