Answer:
The GCF will be 14 and the factored answer will be 14(2x+3)
Step-by-step explanation:
I got u homie. BTW trust me.
Given:
The function is:
![f(x)=6x-3](https://tex.z-dn.net/?f=f%28x%29%3D6x-3)
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
![f(x)=6x-3](https://tex.z-dn.net/?f=f%28x%29%3D6x-3)
Step 1: Substitute
.
![y=6x-3](https://tex.z-dn.net/?f=y%3D6x-3)
Step 2: Interchange x and y.
![x=6y-3](https://tex.z-dn.net/?f=x%3D6y-3)
Step 3: Isolate variable y.
![x+3=6y](https://tex.z-dn.net/?f=x%2B3%3D6y)
![\dfrac{x+3}{6}=y](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B3%7D%7B6%7D%3Dy)
Step 4: Substitute
.
![\dfrac{x+3}{6}=g(x)](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B3%7D%7B6%7D%3Dg%28x%29)
Therefore, the inverse of the given function is
and the graphs of these functions are shown below.
The simplification form of the expression is 3x²/2 + 2x or three-halves x squared + 2 x option second is correct.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
A community garden with raised beds is being redesigned. The area of the new rectangular beds can be expressed as one-half x (3 x + 4).
The expression:
![\rm = \dfrac{1}{2}(3x+4)](https://tex.z-dn.net/?f=%5Crm%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%283x%2B4%29)
By using the distributive property:
![\rm = \dfrac{1}{2}\times3x^2+\dfrac{1}{2}\times4x](https://tex.z-dn.net/?f=%5Crm%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes3x%5E2%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes4x)
![\rm = \dfrac{3}{2}x^2+2x](https://tex.z-dn.net/?f=%5Crm%20%3D%20%5Cdfrac%7B3%7D%7B2%7Dx%5E2%2B2x)
Thus, the simplification form of the expression is 3x²/2 + 2x or three-halves x squared + 2 x option second is correct.
Learn more about the rectangle here:
brainly.com/question/15019502
#SPJ1
Step-by-step explanation:
Find the MEAN with the information you have. Then say th edifference between the mean on the graph and the median.
Answer:
$3.00
Step-by-step explanation:
Step 1. Calculate the <em>pounds of broccoli</em>.
Start with what you know: you want 32 oz of broccoli.
You know that 1 lb = 16 oz. Calculate the weight in pounds
Wt = 32 × 1/16
Wt = 2 lb
===============
Step 2. Calculate the <em>cost of the broccoli</em>.
$1.50 = 1 lb Calculate the cost
Cost = 2 × 1.50/1
Cost = $3.00