Answer:
Infinite number of solutions. The equations and answers are the same no matter what number x you plug in.
Step-by-step explanation:
-4(x + 5) = -4x - 20
-4x - 20 = -4x - 20
0 = 0
Answer:
Answer a) length = x - 2
Answer b) area = 6x - 12
Answer c) perimeter = 2x + 8
Step-by-step explanation:
Any rectangle has a width and a length.
Given is width = 6 cm
The length is at this moment unknown, but we know something important. The length of this rectangle is 2 less than the diagonal. Lets call the length of the diagonal as x.
So although we do not actually know how long the diagonal is, we can still "pretend" it's value to be x. That is perfectly allowed, isn't it?
That way, the length = x-2. ( because that info was also given). Just don't worry to leave x in your answer :-).
Answer a) length = x - 2
So length = x - 2 and width = 6
The rest is easy!
area = width * length
area = 6 * (x - 2)
Answer b) area = 6x - 12
perimeter = 2 * width + ( 2 * length )
perimeter = 2 * 6 + ( 2 * (x - 2) )
perimeter = 12 + ( 2x - 4 )
perimeter = 2x + 8
Answer c) perimeter = 2x + 8
The linear equation that describes the pattern in the cost of renting a car is given by:
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- For each day, the cost of renting a car increases by 34, hence, the slope is of 34, and the equation is:
When d = 4, c = 161, and this is used to find b.
Hence, the equation is c = 34d + 25, and option D is correct.
You can learn more about linear functions at brainly.com/question/25823744
Answer:
$2,239.66
Step-by-step explanation:
To find the amount of reimbursement, convert miles to km by multiplying 1564 by 1.609 since 1 mile = 1.609 km.
He drive 1564(1.609)=2,516.476 km.
Multiply this distance by $0.89 per km.
2516.476(0.89)=$2,239.66
