Answer:
72 square units
Step-by-step explanation:
move above the dotted line to make a rectangel then the numbers are 6 and 12 then times them to get 72
First set up a linear equation and using the x and y values in the table see if it solves.
It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)
Using the quadratic formula y = ax^2 +bx +c
Build a set of 3 equations from the table:
C is the Y intercept ( when X is 0), this is shown in the table as 6
Now we have y = ax^2 + bx + 6
-2.4 =4a-2b +6
1.4 = a-b +6
Rewrite the equations
a=b/2 -2.1
1.4 = b/2-2.1 +6
b = 5
a = 5/2 -2.1 = 0.4
replace the letters to get y = 0.4x^2 + 5x +6
Answer:
Yes.
Base: 4
Step-by-step explanation:
Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.
Answer:
They have the same slope
Step-by-step explanation:
Given
Coaster 1:
![Drops = 140ft](https://tex.z-dn.net/?f=Drops%20%3D%20140ft)
![Run = 40ft](https://tex.z-dn.net/?f=Run%20%3D%2040ft)
Coaster 2:
![Drops = 105ft](https://tex.z-dn.net/?f=Drops%20%3D%20105ft)
![Run = 30ft](https://tex.z-dn.net/?f=Run%20%3D%2030ft)
First, we calculate the slope (m) of both coasters
![m = \frac{Rise}{Run}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7BRise%7D%7BRun%7D)
![m = \frac{Drops}{Run}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7BDrops%7D%7BRun%7D)
For coaster 1:
![m = \frac{140ft}{40ft}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B140ft%7D%7B40ft%7D)
![m = \frac{140}{40}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B140%7D%7B40%7D)
![m = 3.5](https://tex.z-dn.net/?f=m%20%3D%203.5)
For coaster 1:
![m = \frac{105ft}{30ft}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B105ft%7D%7B30ft%7D)
![m = \frac{105}{30}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B105%7D%7B30%7D)
![m = 3.5](https://tex.z-dn.net/?f=m%20%3D%203.5)
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<em>By comparison, they have the same slope</em>
Answer:
x>7
Step-by-step explanation:
x-3>4
Add 3 to both sides
x>7
Hope it helped!