For this case, the first thing we are going to do is assume that all the tests are worth the same.
Then, we define a variable:
x: score of Mona's last test
We write now the inequality that models the problem:
From here, we clear the value of x:
Answer:
the lowest grade that Mona can get for her last test so that her test average is 90 or more is:
x = 87
Answer:
Kenneth will earn about $ 504 the next week
Step-by-step explanation:
The first thing we will have to figure out is how much Kenneth earns per hour. Then we can get how much he will earn when he wors for 42 hours.
to get Kenneth's wage per hour, we will divide the sum he is paid in the first week by the number of hours he worked that week.
This is 450/ 37.5 = 12 dollars per hour.
Kenneth earns $12 per hour.
If Kenneth works for 42 hours, he will earn 42 X 12 = $ 504 the next week
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Answer:
The matrixes are in the explanation box.
1. A mapping of (x,y,z) to (x,y,0)
2. Is a mapping of (x,y,z) to (-x,-y,z)
Step-by-step explanation:
We have the orthogonal projection onto the cy-plane to be a mapping of (x,y,z) to (x,y,0). Then we will have a transformation matrix that has the form below.
[1 0 0]
[0 1 0]
[0 0 1]
For the reflection in the z-axis,it is a reflection of (x,y,z) to (-x,-y,z). Our matrix will then have the form below
[-1 0 0]
[0 -1 0]
[0 0 1]
Answer:
(x + 5)? = 88 + 12x x² + 10x + 25 = 88+12x x² + 10x - 12x + 25 - 88 = 0 x2 - 2x - 63 = 0
