Linear equations in two variables

Mathematics

1 answer:

love history [14]2 years ago

5 0

Answer:

y=-4 is a function

Step-by-step explanation:

It passes the vertical line test, and each x has only one y, so it is a function.

x = -4 is NOT a function because one x has multiple y values. It does not pass the vertical line test.

You might be interested in

The Ferris wheel shown makes 16 revolutions per ride. How far

gizmo_the_mogwai [7]

Answer:The diameter of the Ferris wheel in the image is 63 feet, and so the circumference is equal to C=πd=63π C = π d = 63 π feet. So the distance traveled in one ride (12 revolutions) is 12C=12⋅63π=756π≈2375.044 12 C = 12 ⋅ 63 π = 756 π ≈ 2375.044 feet.

Step-by-step explanation:

8 0

3 years ago

Is this correct? please help I thought that what I did was correct but just to be correct.

lisabon 2012 [21]

Yes that is correct

spaceholder spaceholder

8 0

3 years ago

Read 2 more answers

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$