To find rate of change, you find the change in the output values compared to the change in the input values and write it as a fraction
![\frac{change \: in \: y}{change \: in \: x}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bchange%20%5C%3A%20in%20%5C%3A%20y%7D%7Bchange%20%5C%3A%20in%20%5C%3A%20x%7D%20)
f(7) is
![{7}^{2} - 3(7) - 4](https://tex.z-dn.net/?f=%20%7B7%7D%5E%7B2%7D%20-%203%287%29%20-%204)
![49 - 21 - 4](https://tex.z-dn.net/?f=49%20-%2021%20-%204)
when x is 7, y=24
f(10) is
![{10}^{2} - 3(10) - 4](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B2%7D%20-%203%2810%29%20-%204)
![100 - 30 - 4](https://tex.z-dn.net/?f=100%20-%2030%20-%204)
when x is 10, y=66
the difference in the y values is 42 when the x values change by 3
![\frac{66 - 24}{10 - 7} = \frac{42}{3} = 14](https://tex.z-dn.net/?f=%20%5Cfrac%7B66%20-%2024%7D%7B10%20-%207%7D%20%3D%20%5Cfrac%7B42%7D%7B3%7D%20%3D%2014)
the average rate of change is 14
Answer:
Below
Step-by-step explanation:
So i can't attach a pic but i'll explain how to find everything you need to graph this.
Find x intercept (the point on the horizontal line):
Sub y for 0 : 0 = -3 + 2x
move variables : -2x = -3
divide by -2 : x = 3/2
So the x intercept is 3/2 or to make it easier, 1.5
Find y intercept (the point on the vertical line)
Sub x for 0 : y = -3 + 2(0)
solve for y : y = -3
So the y intercept is -3
Now to find the slope (rise/run)
In this case, you first need to reorder the terms:
y = 2x - 3
transform : y = 2x + (-3)
Identify slope : m = 2
So the slope is 2
Here is how to graph this equation
Start from your y intercept which is -3 and count 2 spaces up, and then once space to the right. Keep doing that and it will give you all the points you need to draw your graph!
Hope this helps :)
A. 70°
Supplementary angles always = 180°
Where 180 - 110 = 70
110+ 70 = 180
Answer:
Convert the fraction to a decimal by dividing the numerator by the denominator.
0.1
¯¯¯¯
36
Step-by-step explanation: