Marshmallow6989
03.06.2021 •
Mathematics
Use a table of values to find the solution to the equation f(x)=h(x) where
f (x) = 2/3-x and
h(x)= 3- 2x
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Ответ:
9514 1404 393
x = 2 1/3
Step-by-step explanation:
We can examine the equations to see where the solution lies.
f(x) = (2/3) -x
This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.
h(x) = 3 -2x
This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.
__
In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.
The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.
_____
Additional comment
Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.
Ответ:
To do this you will pick an x value, multiply it by the slope and add the y- intercept. Let's try 0.
y=4(0)-1
y=-1
So here, an ordered pair could be (0,-1)
We can try this again for different x-values.
y=4(1)-1
y=3
This gives us the ordered pair (1,3)
y=4(100)-1
y=399
This would give us the ordered pair (100,399)
I hope this helps!