Both of these are linear functions:
Distance A is d=2.5h and is proportional to time because the distance is just 2.5 times however many hours you have traveled.
Distance B is d= 2(h-1) + 4. This is not proportional to time but it is a linear function.
Answer:
(x + 7)(x - 7)
Step-by-step explanation:
We need to factor [ x² - 49 ]
The middle number is 0 and the last number is -49.
Factoring is when we fill in the blanks for [ (x + _)(x + _) ]
We need to know what goes in the blanks, we need to know:
- two numbers that add to get 0
- two number that multiplied together get -49
We can try 7 and -7.
7 + (-7) = 0
7 * (-7) = -49
This works, so fill in the blanks for the factor.
(x + 7)(x + (-7))
(x + 7)(x - 7)
Best of Luck!
Answer:
(1) 2 (2) (-1/2,0) (3) (0,1)
Step-by-step explanation:
The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.
Answer:
$939.04
Step-by-step explanation:
To calculate her gross pay, we need to take into consideration, her total pay for the 4 days and her commission based on the total amount of goods she sold.
Firstly, her daily base salary is $85, since she worked for 4 days, her total salary for the four days will be $85 * 4 = $340.
Now, she is to earn 7.2% of $8,320 as commission. The amount of her commission is thus 7.2/100 * 8,320 = 599.04
Her gross pay is thus $599.04 + $340 = $939.04
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