Answer:
<em>Results below</em>
Step-by-step explanation:
<u>Equation of the line</u>
A straight line can be written in the form:
y = ax + b
Where a and b are constants and x is the independent variable.
The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.
From the equations presented in the table:
is linear because the exponent of the x is 1
y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.
y = x is linear with a=1 and b=0
is not linear because the exponent of x is 2
is not linear because the exponent of x is 2
The table below summarizes the results
Answer:
![\boxed {\boxed {\sf A. \ 4x+1}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20A.%20%5C%204x%2B1%7D%7D)
Step-by-step explanation:
We are asked to find (f+g)(x). The question is essentially asking us to find the sum of f(x) and g(x).
![(f+g)(x)=f(x)+g(x)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29)
We know that f(x) equals 3x-1 and g(x) equals x+2. Substitute the values of the functions in.
![(f+g)(x)=(3x-1)+(x+2)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D%283x-1%29%2B%28x%2B2%29)
Combine the like terms.
- 3x and x are like terms (both have the variable "x"
- -1 and 2 are like terms (both without variables, also known as constants)
![(f+g)(x)=(3x+x)+(-1+2)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D%283x%2Bx%29%2B%28-1%2B2%29)
![(f+g)(x)=(4x)+(1)=4x+1](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D%284x%29%2B%281%29%3D4x%2B1)
(f+g)(x) is equal to <u>4x+1</u> and the correct answer is A.
Answer: b/5
Step-by-step explanation:
They divide the total by 5 to get the cost each person has to pay
Answer:
9 miles per hour
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
The area of a parallelogram is b * h, where b and h are the base and height respectively. We know the base but not the height. However, we see a right triangle that has the height and 3 as legs and 5 as the hypotenuse. Pythagorean Triples tell us that the height is 4 and the area will be 4 * 4 = 16 sq. units. Hope this helps!