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11Alexandr11 [23.1K]
3 years ago
13

How to graph absolute value functions?

Mathematics
1 answer:
Darya [45]3 years ago
6 0

Answer:

DJthresh

ugh yet the wasn't Hagel

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Explain what the number 0 on the gauge represents and explain what the numbers above 0 represent
DaniilM [7]
0 is 500mg and the numbers above are larger.
3 0
3 years ago
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
Alexxx [7]
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
5 0
3 years ago
A new van is bought for $30,000 and depreciates in value by 8. 4% per year
Kobotan [32]

Answer:

2520 decrease per year

Step-by-step explanation:

8.4% is also .084 so you multiply .084 by 30,000 and get 2520.

5 0
2 years ago
Write this second order differential equation as a first order matrix-vector system of differential equations. Show your work in
Mkey [24]

Answer:

See explaination

Step-by-step explanation:

To convert a second-order differential equation into a system of linear differential equation, we have to write y'' as x', for some variable x.

please kindly see attachment for the step by step solution of the given problem.

4 0
3 years ago
Find the equation of the line passing through the points (1,5) and (3,9)​
Arada [10]

Answer:

  • \boxed{\sf{2}}

Step-by-step explanation:

Use the slope formula.

\underline{\text{SLOPE:}}

\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{Rise}{Run} }

\sf{y_2=9}\\\\\\\sf{y_1=5}\\\\\\\sf{x_2=3}\\\\\\\sf{x_1=1}

\sf{\dfrac{9-5}{3-1} }

Solve.

\sf{\dfrac{9-5}{3-1}=\dfrac{4}{2}=\boxed{\sf{2}}

  • <u>Therefore, the slope is 2, which is our answer.</u>

I hope this helps. Let me know if you have any questions.

8 0
1 year ago
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