Answer:
- It's not possible to earn an A in the course
- I must have a 73 or MORE to earn a B in the course
Step-by-step explanation:
The average obtained at the end of the course will be:

Where x is the grade obtained in the final examination and av is the final average. To obtain an A, av has to be at least 90, av≥90, and to obtain an B, av has to be at least 80, av≥80
- Is an A in the course possible?
So, if we get 100 on the final average:
x = 100,
av = (85+78+84+100)/4 = 86,75 and 86,75∠90.
<em>Answer: No, the higher grade obtained would be 86,75.</em>
- What grade you must have in the final to earn a B in the course
To earn a B, av≥80:

<em>Answer: I must have a 73 or MORE to earn a B in the course</em>
Answer: The value of x is -5 and the value of y is 5.
Explanation:
The slope of the line is
and the point is (-2,5) from which the line line is passing.
If a line is passing through the point
with slope m, the the equation of line is,



..... (1)
It is given that the point A(x,3) and B(-2,y) lies on the line. It means it satisfies the equation of the line.
Put y=3 in equation (1).


The value of x is -5.
Put x=-2.




The value of y is 5.
According to the degree of freedom, if there are two unknowns to be determined, there should be two equations that are independent. In this case, the two equations y = 4^x and y = 2^x + 2. We equate the two equations to get x and y. x is equal to 1 and y is equal to 4. To solve the equation graphically, we plot the two graphs and see the point of intersection.
Answer: 3.75z+12
For an equivalent expression, lets simplify the equation.
3/4(5z+16)
multiply both '5z' and '16' by 3/4
3.75z+12