Answer:
x=0
Step-by-step explanation:
To solve, we need to get all the variables on one side of the equation, and all the numbers on the other
6(x + 1) – 5x = 8 + 2(x - 1)
First, distribute the 6 on the left
6*x+6*1 -5x=8 +2(x-1)
6x+6-5x=8+2(x=1)
Combine like terms on the left
(6x-5x)+6=8+2(x-1)
x+6=8+2(x-1)
Distribute the 2 on the right
x+6=8+2*x+2*-1
x+6=8+2x-2
Combine like terms on the right
x+6=2x+(8-2)
x+6=2x+6
Subtract x from both sides
6=x+6
Subtract 6 from both sides
x=0
Hope this helps! :)
Yes. The situation is defined by a linear function.
<u>Solution:</u>
Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.
Is this situation defined by a linear function?
Yes, the above given situation is defined by a linear function.
Now, let us see the linear equation for above situation
Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"
Then, total salary is given as,
Total salary = $ 30 bonus + number of hours worked
cost per hour

Above equation is a linear equation as "c" is constant ( cost per hour )
Hence, the given situation can be defined by linear function.
The answer:
the full question is as follow:
<span>Point F is on circle C. What is the length of line segment GF?
12.5 units
15.0 units
17.5 units
20.0 units
according to the image, GF= GC + CF
CF is the radius of the circle, so it is CF =CE = 7.5
all that we want to find is the value of GC
let's consider the triangle GEC. This is a right triangle, so for finding GC, we can apply Pythagorean theorem
that is, GE² + EC² = GC², and from this, we have GC = sqrt(</span>GE² + EC² )
GC = sqrt(10² + 7.5² )=sqrt(56.25)=12.5
<span>
therefore, </span>GF= GC + CF=12.5 + 7.5 = 20.0
the answer is 20.0 units
It will take 0.4 seconds to get to the home plate.
Given:
The speed of the pitch thrown by Justin is 100 miles per hour
The distance of home plate from the pitching rubber is 60.5 feet
To find:
The time taken by a pitch to reach the home plate
Solution:
The distance home plate from the pitching rubber = d = 60.5 feet

The speed of pitch thrown by Justin = s = 100 miles/hr
The time taken by a pitch to reach the home plate = t =?
The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

It will take 0.4 seconds to get to the home plate.
Learn more about conversions here:
brainly.com/question/24530464
brainly.com/question/17743460
For #8, it's approximately 2.5