Answer:

Step-by-step explanation:
In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.
Slope intercept form is usually in the form
, where m is the slope and b is the y-intercept.
Let's algebraically manipulate this problem so we solve for y.
<em>(Subtract 7x from both sides)</em>
<em>(Divide both sides by -2)</em>
<em>(Rearrange the equation</em>)
From here, we can now see our equation is
, in the form
. Since m is the slope, and
is m, our slope is
.
Hope this helped!
Answer:
1.375
Step-by-step explanation:
Hope this helps :)
Answer:
10.5
Step-by-step explanation:
Answer:
It is irrational because it can not be represented as a fraction of two integers
Step-by-step explanation:
Given


![H = \sqrt[3]5](https://tex.z-dn.net/?f=H%20%3D%20%5Csqrt%5B3%5D5)
Required
Why is the area irrational?
First, we need to calculate the area

![Area = \frac{1}{2}(3.6 + 12\frac{1}{3}) * \sqrt[3]5](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283.6%20%2B%2012%5Cfrac%7B1%7D%7B3%7D%29%20%2A%20%5Csqrt%5B3%5D5)







<em>It is irrational because it can not be represented as a fraction of two integers</em>
Start with the parent function f(x) = x³
Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.
Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate
Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x) is translated five units up
So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.