Answer:
Step-by-step explanation:
y²-y-4x=0
differentiate w.r.t. x
2y*y^1-y^1-4=0
(2y-1)y^1=4
y^1=4/(2y-1)
Answer:
B) 5 x 4 x 3 x 2 x 1
Step-by-step explanation:
When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:
5! = 5 * 4 * 3 * 2 * 1
For example, take factoral 10: 10!
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800
In this case, you are multiplying 5!.
5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120
5! = 120
No it’s not as its not constant and its a fraction
Answer:
- <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>
<u></u>
- average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>
Explanation:
You can set a system of equation using the following steps:
1. Name the variables:
- average yearly salary of an individual whose final degree is a masters: x
- average yearly salary of an individual whose final degree is a bachelors: y
2. Set the equations that relate the variables:
- the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:
equation (1): x = 2y - 46
- combined, two people with each of these educational attainments earn $122 thousand:
equation (2): x + y = 122
3. Solve the system:
- x = 2y - 46 . . . equation (1)
- x + y = 122 . . . equation (2)
Substitute equation (1) into equation (2)
Solve for y:
- y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).
Subsitute the value on y in equation 1, to find the value of x:
- x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.
Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.
Graph A is the correct one because it has a point at -3 and has a slope of 3/4.
Hope this helps!
