Answer:
to get x you need to divide
210/42= 5
x=5
We're given c to f and we want f to c:
![f= \frac 9 5 c + 32](https://tex.z-dn.net/?f=%20f%3D%20%5Cfrac%20%209%205%20c%20%2B%2032%20)
![f - 32 = \frac 9 5 c](https://tex.z-dn.net/?f=%20f%20-%2032%20%3D%20%5Cfrac%209%205%20c)
![c = \frac 5 9 (f-32)](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%205%209%20%28f-32%29%20)
We substitute f=62
![c= \frac 5 9(62-32)= \dfrac{5(30)}{9} = 16.66666... \approx 17 \textrm{ C}](https://tex.z-dn.net/?f=%20c%3D%20%5Cfrac%205%209%2862-32%29%3D%20%5Cdfrac%7B5%2830%29%7D%7B9%7D%20%3D%2016.66666...%20%5Capprox%2017%20%5Ctextrm%7B%20C%7D)
Slope-intercept form is <em>y = mx + b</em> where m is the slope and b is the y-intercept. (the value of y when x = 0)
To find the slope, use the slope formula,
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
, where (x¹, y¹) and (x², y²) are your two points.
For (-2, 6) and (2, 14):
![m=\frac{14-6}{2-(-2)}=\frac{8}{2+2}=\frac84=2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B14-6%7D%7B2-%28-2%29%7D%3D%5Cfrac%7B8%7D%7B2%2B2%7D%3D%5Cfrac84%3D2)
As a fraction, we would write the slope 2/1, but dividing by 1 is redundant when writing the actual equation.
Since slope is rise over run, we can interpret this slope as <em>"when y changes by 2, x changes by 1 (and vice versa)"</em>
Let's take one of our points, how about (-2, 6), and find our y-intercept from this.
We want to add 2 to x. According to our slope, this means adding 4 to y.
Our y-intercept is at (0, 10), with the value we put into our equation b = 10.
Final equation:
y = 2x + 10
Given:
The expression is:
![2b^3+5](https://tex.z-dn.net/?f=2b%5E3%2B5)
To find:
The value of the given expression when
.
Solution:
We have,
![2b^3+5](https://tex.z-dn.net/?f=2b%5E3%2B5)
Substituting
in the above expression, we get
![2b^3+5=2(3)^3+5](https://tex.z-dn.net/?f=2b%5E3%2B5%3D2%283%29%5E3%2B5)
![2b^3+5=2(27)+5](https://tex.z-dn.net/?f=2b%5E3%2B5%3D2%2827%29%2B5)
![2b^3+5=54+5](https://tex.z-dn.net/?f=2b%5E3%2B5%3D54%2B5)
![2b^3+5=59](https://tex.z-dn.net/?f=2b%5E3%2B5%3D59)
Therefore, the value of given expression at
is 59.
It’s a bro trust me on this one