Answer:
x=7
Step-by-step explanation:
x+5=12
-5 -5
x=7
Answer:
384
Step-by-step explanation:
We assume your function is supposed to be ...
f(x) = 12(2^x)
When x=5, the value is ...
f(5) = 12(2^5) = 12(32) = 384
There will be 384 insects after 5 weeks.
M is 2 and b is 3 that is the answer to it
Answer:
6 x 10 = 60, 60 divided by 2 ( x 1/2 ) = 30
Step-by-step explanation:
Formula area of a triangle:
B(base)H(height) x 1/2
In this case 10 is your base and 6 is your height.
Answer:
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Step-by-step explanation:
We can take any two input-output pairs from the table to find the equation of given function.
Linear function is given by:
![y =mx+b](https://tex.z-dn.net/?f=y%20%3Dmx%2Bb)
Here m is the gradient of the functions which is defined as:
![m = \frac{rise}{run} = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Brise%7D%7Brun%7D%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The input-output pairs are:
(x1,y1) = (-1,-1)
(x2,y2) = (0,-4)
First of all,
![m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-4-%28-1%29%7D%7B0-%28-1%29%7D%5C%5C%3D%20%5Cfrac%7B-4%2B1%7D%7B1%7D%20%3D%20-3)
Putting the value of slope in the equation
![y = -3x+b](https://tex.z-dn.net/?f=y%20%3D%20-3x%2Bb)
Putting (-1,-1) in the equation
![-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4](https://tex.z-dn.net/?f=-1%20%3D%20-3%28-1%29%2Bb%5C%5C-1%20%3D%203%2Bb%5C%5Cb%20%3D%20-1-3%5C%5Cb%20%3D%20-4)
The equation will be:
![y = -3x-4](https://tex.z-dn.net/?f=y%20%3D%20-3x-4)
Hence,
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4