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
Sveta_85 [38]
3 years ago
13

The table below represents a linear function in the equation represents a function. table numbers are X: -1,0,1. f(x): -3,0,3. G

(x): g(x) = 7x + 2
Part A: write a sentence to compare the slope of the two functions and show the steps used to determine the slope of FX and GX.

Part B: which function has a greater Y intercept? justify your answer
Mathematics
1 answer:
Alexxx [7]3 years ago
5 0
A)
SLOPE OF f(x)
To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points ( x_{1} , y_{1} ) and another ( x_{2} , y_{2} ). It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.

Let's pick as follows:
( x_{1} , y_{1} )= (0.0)
( x_{2} , y_{2} )= (1.3)

The slope formula is: m= \frac{y_{2} - y_{1} }{ x_{2}- x_{1}  }
We now substitute the values we got from the points to obtain.
m= \frac{3-0}{ 1-0 } = \frac{3}{1}=3

The slope of f(x) = 3

SLOPE OF g(x)
The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.

That is, since g(x)=7x+2 the slope is 7 and the y-intercept is 2.

The slope of g(x) = 2

B)
Y-INTERCEPT OF g(x)
From the work in part a we know the y-intercept of g(x) is 2.

Y-INTERCEPT OF f(x)
The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0

So the function g(x) has the greater y-intercept
You might be interested in
Which pairs of rectangles are similar polygons?<br><br> Select each correct answer.
oee [108]
The corrects answers are B and D for this one. 

Since you divide the same side for both the the rectangles on both parts and if the division statements are equaled, then they are similar. 

For example; 

Answer B. 
50 / 10 = 5 
and 
30 / 6 = 5 

Answer D. 
7.5 / 2.5 = 3
and 
4.5 / 1.5 = 3 

Since they both equal the same for both of the rectangles for the answers individually, they are similar polygon rectangles. 

Hope this helps! 

<em>~ ShadowXReaper069</em><em />
8 0
3 years ago
Read 2 more answers
Given that p is an integer, q = -12 and the quotient of p/q is -3, find p
sergejj [24]
I think it’s p=36 because you have to do the opposite on both sides..

So..
q=-12
P/-12=-3
+12 *12
P=36
7 0
2 years ago
Read 2 more answers
If Justine earns £10920 in year, how much does she earn each month?
Sholpan [36]

Answer:

910.

Step-by-step explanation:

you take your year earning then divide it by twelve months to give you ur answers. 10920÷12=910

7 0
3 years ago
Can you explain how to do this
julia-pushkina [17]
Because I see a graph in the picture, I am assuming you need to graph the equations. The two equations are in slope-intercept form. They are in the form
y = mx + b

Where m is the slope and b is the y-intercept. That is why it is called the slope-intercept form.

If you want to graph a slope-intercept form equation, first plug in a value for x then compute it to get the y-coordinate.

First, let's get some points with the equation y = 4x + 3

We will plug in three values for x. 0, 1, and 2.

When x = 0

y = 4(0) + 3
y = 3

When x = 1

y = 4(1) + 3
y = 7

When x = 2

y = 4(2) + 3
y = 11

Now we have the points (0, 3), (1, 7), and (2, 11)

These points are called ordered pairs. Where the first number is the x-coordinate and the second number is the y-coordinate.

The ordered pairs tell you how many times you move your point away from the origin. The origin is (0, 0).

The first number of an ordered pair tells you how many times to move in the x direction and the second number how many times in the y direction.

Now graph the second equation. y = -x - 2

Just plug in some values for x.

I picked 0, 1, and 2.

When x = 0

y = 0 - 2
y = -2

When x = 1

y = -1 - 2
y = -3

When x = 2

y = -2 - 2
y = -4

Now we have the points (0, -2), (1, -3), and (2, -4)
Now plot those points and draw a line through them.

If you need to find the intersection of the equations y = 4x + 3 and y = -x - 2 you need to find where they intersect. Or in other words, share a common point. 

After playing around with the numbers, I got the intersection point for the both of the equations.

It is the ordered pair (-1, -1). This the solution to both of the equations. If you plug in the ordered pairs into both of the equations, they will show it belongs to their graphs.


Plug in the values for y = 4x + 3

-1 = 4(-1) + 3
-1 = -4 + 3
-1 = -1

Plug in the values for y = -x - 2

-1 = -(-1) - 2
-1 = 1 - 2
-1 = -1

So, this ordered pair is on both equations!
7 0
2 years ago
Tyler is playing a game in which he needs to guess an integer. Which of the following is a number that tyler can gues
Ksenya-84 [330]
Well a interger is any negative number so -1 or -2 or -3 or -4......
4 0
2 years ago
Other questions:
  • Select the correct answer<br> Which expression represents the series 1 + 5 + 25 + 125 + 6252
    15·1 answer
  • Whats the answer and why
    8·1 answer
  • Solve the formula for the indicated variable <br> A=1/2bh solve for h
    9·1 answer
  • Solve the equation 9+n/5=19
    15·2 answers
  • Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8
    12·2 answers
  • The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th
    5·1 answer
  • In ΔTUV, t = 560 inches, v = 400 inches and ∠V=19°. Find all possible values of ∠T, to the nearest degree
    9·1 answer
  • You want to open a checking account at your local bank which offers two options. A standard checking account charges $6 each mon
    13·1 answer
  • This car dealership pays the salesperson a bonus for selling the car equal to 6.5% of the sale price. How much commission did th
    11·1 answer
  • Sas, sss, aas, or not enough information
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!