The answer is 1.5 months
explanation:
5/2 = 2.5
15/4 = 3.75
2.5 per month
3.75 per x months
x = (3.75×1)/2.5
x = 3.75/2.5
x = 3/2 = 1.5 months
Part A: The first thing you should do is to graph both lines. Notice that one is of positive slope and another of negative slope.
The solution of the inequation system is given by the shaded region. That is, all the points that are in the shaded region satisfy the system of inequations.
Part B: the point (-2, -2) is NOT included in the solution area (it is not in the shaded region.
Mathematically it is demonstrated by substituting inequalities and seeing that they are not satisfied
inequality 1 -2 <4 (-2) - 2
-2 <-10 (false)
inequality two -2> = - (5/2) (- 2) - 2
-2> = 3 (false).
1.no should b 8x + 20
2.no should be 21x + 14
3.yes
3.yes
Answer:
About 9.1 yards tall.
Step-by-step explanation:
So, we can draw the right triangle shown below:
We want to find h.
Since we know the angle and the side adjacent to the angle and we wan to find the opposite side, we will use the tangent ratio:

So:

Therefore:

Use a calculator. Ensure your calculator is in the correct mode (degrees mode):

The goal post is around 9.1 yards tall.