Answer:
There is a direct relationship between the amount of money that Jacob earns and the number of hours he works.
Step-by-step explanation:
In math, a direct relationship exists when a change in one variable causes another variable to change in the same manner. E.g. if variable X increases, then variable Y will increase. If variable X decreases, then variable Y will decrease.
In this case, if Jacob works 25 hours per week, he will earn $243.75. If he works 30 hours, he will earn $292.50. But if he only works 20 hours, he will earn $195.
Answer:
Let the breadth is x, then the length is 3x.
<u>The area is:</u>
<u>The breadth is decreased by 2 m: </u>
<u>The length is increased by 4m: </u>
<u>The area is now:</u>
- (x - 2)(3x + 4) = 3x² - 1/3(3x²)
- 3x² + 4x - 6x - 8 = 2x²
- x² - 2x - 8 = 0
- x² - 2x + 1 = 9
- (x - 1)² = 3²
- x - 1 = 3
- x = 4
The breadth was 4 m and the length 12 m
Answer:
im not sure
Step-by-step explanation:
im noy sure
It should go like this:
(4z + 3) (3z - 4) / (3z - 4) (z + 2)
Then you just cancel out (3z -4) and (3z -4), and the final simplified form of this polynomial is:
(4z +3) / (z + 2)
Answer:
<u>First question answer:</u> The limit is 69
<u>Second question answer:</u> The limit is 5
Step-by-step explanation:
For the first limit, plug in 
in the expression 
, that's the answer for linear equations and limits.
So we have:
The answer is 69
For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value 
into the simplified expression to get the correct answer. Shown below:
<em>Now putting 1 in 
gives us the limit:</em>
So the answer is 5
