The new salary would be 1,500 since when we took .25 of 1,200, we got 300. We then added this to 1,200 to get 1,500.
8y - 5 < 3
8y < 5+3
8y<8
y<1
3p + 2 > -10
3p>-10-2
3p> -12
p>-4
-2 > m/6 -7
- m/6>+2-7
Multiply each member by 6
-m >-42+12
-m>-30
m<30
looking at the two triangles, the smaller triangle was reduced by a factor of 3.
the value of the missing side can be gotten by multiplying the corresponding side in the smaller triangle by 3
the value of the missing side is 12
Answer:
Step-by-step explanation:
Since the coefficient of x^2 is positive, this quadratic is a parabola in the shape of a U, hence has a minimum.
We want to end up with the form (x-h)^2 + c. Since (x-h)^2>=0, this form shows that the minimum is achieved when x=h.
Completing the square will put the quadratic in the desired form. Note that:
(x-h)^2=x^2-2hx+h^2
Comparing this with the given form, we must have -8=-2h, or h=4. But we are missing h^2=4^2=16. We can add the missing 16 and subtract it elsewhere without changing the quadratic.
x^2-8x+16 + (16-4) = (x-4)^2 + 12
Now we know that at x=4 the quadratic has a minimum and that the minimum is 12.