<h3>
Answer: Distance between x intercepts is 1 unit.</h3>
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Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
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Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
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Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
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In summary, we found...
- x = 1 is the y intercept of f(x)
- x = 2 is the y intercept of g(x)
Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
Answer:
3/5 x +1 and 7.5 x -7
Step-by-step explanation:
any equation in the form y= mx+b is linear the other 2 in this question are not in this form thus they are not linear
Answer:
21
Step-by-step explanation:
<->
Answer:
The zeros are between -4 and -3, and between 0 and 1
Step-by-step explanation:
Here, we want to location of the zeros
As we can know, at the zeros of a quadratic function, the y value at those point is zero
So whenever we have y value being zero, we have it that the x value at that point is a zero or root of the quadratic function
Now, looking at the table, we can see that between the point x = -4 and -3; y moved from -2 to 2
For this movement to occur, we must have passed through 0 as we have -1 ,0 and 1 between the numbers as -2 and 2
So obviously, the root is between -4 and -3
Secondly as we can see, f(x) moved from 2 to -2
The numbers between here are 1 , 0 and -1
So definitely the root lies between the x values of 0 and 1
C is 30 because first you replace b for 7.
C=2(7)+ 4(7-3)
after that you would subtract 7 and 3 .
C= 2(7) + 4(4)
next, you multiply the sides
c= 14+ 16
after adding the remaining numbers together, you get the answer of 30 as C
