Answer:
Yes
Step-by-step explanation:
10:12 and 30:36
you can simplify them first so
10:12=5:6
and
30:36=5:6 which is equivalent to the other ratio
or you can do
10:12
10 times 3 is 30 30:36 12 times 3 is 36
Answer:
Minimum at (-4, -10)
Step-by-step explanation:
x² + 8x + 6
The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.
Subtract the constant from each side
x² + 8x = -6
Square half the coefficient of x
(8/2)² = 4² = 16
Add it to each side of the equation
x² + 8x + 16 = 10
Write the left-hand side as the square of a binomial
(x + 4)² = 10
Subtract 10 from each side of the equation
(x+ 4)² -10 = 0
This is the vertex form of the parabola:
(x - h)² + k = 0,
where (h, k) is the vertex.
h = -4 and k = -10, so the vertex is at (-4, -10).
The Figure below shows your parabola with a minimum at (-4, -10).
The following given problem can be expressed in the form
of:
E = 5.60 * T1 + 8.40 * T2
where,
E = total earning
T1 = normal hours worked
T2 = overtime hours
Assuming that the maximum T1 hours is 40 hours. Beyond
that is considered overtime, therefore:
287 = 5.60 * 40 + 8.40 * T2
T2 = 7.5 hours
<span>Therefore 7.50 overtime hours is needed.</span>
This is it! remember that it is undefined because you can't divide by 0.