Answer:
Step-by-step explanation:
<em><u>Find the Rate of Change</u></em>
The rate of change = Δy/Δx
(20 - 16) / (8 - 6) = 4/2 = 2 gal / minutes
<em><u>Slope and Graph</u></em>
The graph is given below. It shows the various points plotted and labeled.
The box near the y axis should be labeled gallons [in the tank]
The box under the x axis (if you have such a thing) should be labeled Time in minutes.
Answer:
it is a 60 30 90 triangle so basically 2y is = x
21² + y² = x²
441 + y² = x²
y = x/2 (2y = x)
441 + x²/4 = x²
4x² = 1764 + x²
3x² = 1764
x = exact is 24.248711306 simplied square root would just be 14√3
2y = 14√3
y = 7√3
exact wouldd be 12.124355653
15. x ≤ -24
x + 19 ≤ -5
x ≤ -24
16. z > -12
3z > -36
z > -12
17. 185 + c > 410; c > 225
18. C.
x - 6 ≥ 1
x ≥ 7
The known facts
- the sum of Natalie's age and Fred's age is 36
- the sum of Fred's age times four and Natalie's age is 72
Now, let's set up the equations where N is Natalie's age and F is Fred's age.
N + F = 36 ---- equation 1
N + 4F = 72 ---- equation 2
equation 2 minus equation 1 ---> 3F = 36 ---> F = 12, thus N = 24
Thus Fred is 12 years old, and Natalie is 24 years old.
Answer:
Almost every question you ask can and will be answered if asked in a right why
