Answer:
x= 13, angle 1= 37, and angle 2= 53
Step-by-step explanation:
So you have 2x+11+1+4x=90 degrees
If you simplify it, it becomes 6x+12=90 degrees
Then, you rearrange; 6x=90-12 or 6x= 78
So then, x=13
For angle 1 its 2x+11= 37 degrees
And angle 2 is 1+4x= 53 degrees
There would be four rows of 5. If he added one more row of desks he would have 25 desks.
Each line is a desk
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Since he gets paid more for tutoring, he should work as many hrs tutoring as possible. He can only work at most 20 hrs. He has to work at least 3 hrs tutoring but no more then 8 hrs.....to maximize profit, he needs to work 8 hrs tutoring...leaving 12 hrs as a teachers aide. He should work 20 hrs to maximize his earnings.
maximum profit is : 8(10) + 12(7) = 80 + 84 = 164
Answer:
D. 327.25
Step-by-step explanation:
You start out with a gross pay of $415.00. When you have a deduction from your gross pay, it means it gets subtracted. So subtract the deductions of 48, 31.25, and 8.50 from 415 and it leaves you with 327.25.
415 48-31.25-8.50 = 327.25
Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that the parent function is:
f(x) = x².
The shifted function is:
g(x) = 3x² + 1.
The transformations are given as follows:
- It was vertically compressed by a factor of 3, due to the multiplication by 3.
- It was shifted up 1 unit, due to the addition of 1.
In the graph at the end of the answer, both functions are shown, with <u>f(x) in red and g(x) in blue</u>.
More can be learned about translation concepts at brainly.com/question/28393734
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