Answer:
C = n + 2
Step-by-step explanation:
Well looking at the line on the graph we can see that the y intercept is 2 because the y intercept is the point in the line that touches the y axis.
And the slope is how fat away each points are from each other on a line so we can find the slope by using two points on the line, we can use (1,3) and (2,4).
So we set up the formula like this
.
And now we gotta plug in the numbers and solve so the answer is 4-3 = 1 and 2-1 = 1 so the slope is 1.
And we can’t write that as just n.
So the answer is C = n + 2.
For proof look at the image below.
Answer:
The antiderivative is
.
Step-by-step explanation:
Antiderivative F(x)
This is the integral of ![F^{\prime}(x)](https://tex.z-dn.net/?f=F%5E%7B%5Cprime%7D%28x%29)
So
F′(x) = f(x) = 6 + 24x^3 + 18x^5
Then:
![F(x) = \int (6 + 24x^3 + 18x^5) dx](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Cint%20%286%20%2B%2024x%5E3%20%2B%2018x%5E5%29%20dx)
![F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K](https://tex.z-dn.net/?f=F%28x%29%20%3D%206x%20%2B%20%5Cfrac%7B24x%5E4%7D%7B4%7D%20%2B%20%5Cfrac%7B18x%5E6%7D%7B6%7D%20%2B%20K)
![F(x) = 6x + 6x^4 + 3x^6 + K](https://tex.z-dn.net/?f=F%28x%29%20%3D%206x%20%2B%206x%5E4%20%2B%203x%5E6%20%2B%20K)
F(1)=0
when
. We use this to find K.
![F(x) = 6x + 6x^4 + 3x^6 + K](https://tex.z-dn.net/?f=F%28x%29%20%3D%206x%20%2B%206x%5E4%20%2B%203x%5E6%20%2B%20K)
![0 = 6 + 6 + 3 + K](https://tex.z-dn.net/?f=0%20%3D%206%20%2B%206%20%2B%203%20%2B%20K)
![K = -15](https://tex.z-dn.net/?f=K%20%3D%20-15)
Thus
The antiderivative is
.
Answer:
Step-by-step explanation:
a + 143 = 180 {Linear pair}
a = 180 - 143
a = 37
37 + 93 + b = 180 {Angle sum property of triangle}
130 + b = 180
b = 180 - 130
b = 40
c + b = 90
c + 40 = 90
c = 90 - 40
c = 50
d + 120 = 180 {Linear pair}
d = 180 - 120
d = 60
? = 60 + 40 {Exterior angle property of triangle}
? = 100
.33 in its simplest form is 1/3 I think