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3 years ago

If an equation is an identity, then how many solutions does it have?

Mathematics

2 answers:

7nadin3 [17]3 years ago

8 0

Infinite is the answer

olga2289 [7]3 years ago

3 0

Hello,

If an equation is an identity, then every value of the variable makes the egality true.

Generaly we resolve an equation in R.

In this case Sol=R

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Help please !!!!!!!!!!!

Nataliya [291]

I would say the third option, Density Independent.

I hope this helps!

4 0

3 years ago

Write an equation of the direct variation that includes the given point (-8, -4)

True [87]

Write an equation of the direct variation that includes the given point (-8, -4)
Direct variation is y= kx for some constant k

Find k using the point (-8,-4)

y=kx
(-4)=k(-8) substitution
-4/-8=k(-8/-8) division property
1/2=k

equation of direct variation is y=1/2k

4 0

2 years ago

Read 2 more answers

Which shows the correct way to use the rule "multiply by the reciprocal" for the expression below? 5 divided by StartFraction 2

enot [183]

Answer:

its a.

Step-by-step explanation:

simple answer

5 0

2 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.)$

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0

3 years ago

The equation y=−15x+12 is the slope-intercept form of which equation?

Sliva [168]

I honestly don't know but I think it would come out to be 4/5

6 0

2 years ago