In here, we could write an equality as x – 12 < 65. In solving inequalities, we follow the same rule as solving algebraic expressions. We will transpose 12 to the other side, giving us x < 65 + 12. Simplifying, we have x < 77. Geraldo must have a bill less than $77 in order for him not to spend more than $65.
Multiply first equation by 8,
24x + 40y = 352
Multiply second equation by 3,
24x - 21y = -75
Now, subtract second from 1st,
61y = 427
y = 427/61
y = 7
Substitute it in very first equation,
3x + 5(7) = 44
3x = 44 - 35
x = 9 / 3
x =3
In short, Your Answer would be Option D) (3, 7)
Hope this helps!
<h3>Answer:</h3><h3>Exact volume =
32pi</h3><h3>Approximate volume =
100.48</h3>
The approximate volume only applies when pi = 3.14
Use either answer, but not both of course.
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Work Shown:
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*8
V = pi*32
V = 32pi .... exact volume in terms of pi
V = 32*3.14
V = 100.48 .... approximate volume when we use pi = 3.14
Answer:
The First Graph
Step-by-step explanation:
The -x line is present in both the first and last graph.
The x + 6 is present in the first and second graph.
The slope is increasing before -3
The slope past -3 is decreasing.
Check picture below, radius = r = 15, thus
