Answer:
54°
Step-by-step explanation:

With the information given, we deduce that the parabola is

Reflecting a function over the x axis means to change its sign. After the reflection, the parabola becomes

And to shift down a function, you subtract the shift from the equation: the equation becomes

Similarly, the other function is reflected over the x axis (sign change) and shifted up 3 (add 3 to the equation):

In order to compute the y intercept, we simply have to evaluate the functions at x=0: for the parabola we have

For the other function, we have

Answer:

Step-by-step explanation:
<em>Look at the picture.</em>
<em />
We have:

Therefore
<em>divide both sides by 2</em>

Answer:
88 square inches
Step-by-step explanation:
if the entire square was shaded it would be 14 x 12 (as best as i can see)
the "cut out" or white part of the square is 8 x 10
Entire squre - cutout white part
14 x 12 - 8 x 10
168 - 80
88 sq in
Answer:
2/3
Step-by-step explanation:
If we have 'x' students who like math and 'y' students that like science, we can formulate that:
Half of x likes math and science, and also one third of y likes math and science, so:
(1/2) * x = (1/3) * y
x / y = (1/3) / (1/2)
x / y = (1/3) * 2 = 2/3
So the ratio of the number of students who like math to the number of students who like science is 2/3