Answer:
6.025 as a mixed number is 6 1/40
Answer:
Step-by-step explanation:
Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.
Mathematically,
and
and
so
y = 3x - 7 (the second choice)
Answer:
Step-by-step explanation:
Let the equal number of hours be represented by variable H;
The two equations will be as follows;
Jack; 40 +30H
Mark; 50 +25H
Next, equate them;
40 + 30H = 50 + 25H
30H - 25H = 50 - 40
5H = 10
H =10/5
H = 2hrs
Therefore, they charge the same amount at 2 hrs.
B.) The amount charged;
Replace the variable H in any of the two equations above with 2 to solve for the amount.
Equation 40+30H = 40 + (30*2)
=40 + 60
= $100
Answer:
7 ≤ v ≤ 13
Step-by-step explanation:
Length of video required must be within 10 minutes
Submitted length of video must be with 3 minutes of the 10 minutes video
To create an absolute value inequality :
Let v = the range of value for which the required video will be :
|v - 10| = ±3
Lower boundary :
|v - 10| = - 3
v = - 3 + 10
v = 7
Upper boundary :
|v - 10| = 3
v = 3 + 10
v = 13
Hence,
7 ≤ v ≤ 13
Answer:
The roots are real and distinct.
Step-by-step explanation:
Given the following equation:

In this problem, a = 1, b = k and c = -k - 2
The discriminant is b² - 4ac, and for the roots to be real and distinct, it must be at least or greater than 0.
We get,
(k)²- 4(1)(-k - 2) = 1 - 4(-k - 2)
= k² + 4k + 8
Let's check:
At k = -2,

At k = 0,

At k = -100,

Therefore, we can conclude that for all values of k, the roots are real and distinct.
This has been a long way in answering this question, so it would be great if you could mark me as brainliest