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sammy [17]
2 years ago
15

URGENT

Mathematics
1 answer:
Ilya [14]2 years ago
6 0

Answer:

Yes, the given relation is a function.

Step-by-step explanation:

Given the quadratic function, y = (x + 1)², and the domain of {-2, -1, 0, 1, 2, 3}:

By definition, a function is a <em>relation</em> in which no two ordered pairs have the same first component (x-values) and different second components (y-values). Observing the given domain, there are no repeating <em>input</em> values.

Therefore, the correct answer is that the relation is a function.

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The radius r(t)r(t)r, (, t, )of the base of a cylinder is increasing at a rate of 111 meter per hour and the height h(t)h(t)h, (
sp2606 [1]

Answer:

The volume is decreasing at a rate 20π cubic meter per hour.

Step-by-step explanation:

We are given the following in the question:

The radius is increasing at a rate 1 meter per hour.

\dfrac{dr}{dt} = 1\text{ meter per hour}                

The height is decreasing at a rate 4 meter per hour  

\dfrac{dh}{dt} = -4\text{ meter per hour}

At an instant time t,

r = 5 meter

h = 8 meters

Volume of cylinder =

\pi r^2 h

where r is the radius and h is the height of the cylinder.

Rate of change of volume is given by:

\dfrac{dV}{dt} = \dfrac{d(\pi r^2 h)}{dt}\\\\\dfrac{dV}{dt} = 2\pi rh\dfrac{dr}{dt} + \pi r^2\dfrac{dh}{dt}

Putting all the values we get,

\dfrac{dV}{dt} = 2\pi (5)(8)(1) + \pi (5)^2(-4)\\\\\dfrac{dV}{dt} = 80\pi - 100\pi = -20\pi \approx -62.8

Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.      

3 0
3 years ago
Help please please please​
LekaFEV [45]

Answer:

There are 9 quarters and 3 nickels

Step-by-step explanation:

problems used: 0.5x+0.25y=3.09

x=y+6

so substitute what x is equal to into the problem

0.5(y+6)+0.25y=3.09  <--------- distribute

0.5y+3+0.25y=3.09     <--------- Combine like terms

0.3y+3=3.09 <----------- Subtract 3 on both sided to get y by itself

0.3y=0.9 <------------ Divide by 0.3 on both sides to get what y is equal to

y=3 <-------- now substitute to find what x is equal to

x=3+6

x=9

8 0
3 years ago
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MArishka [77]
<span>The answer is 6 m. To arrive at this answer you solve the following equation: {let x = the original length of the garden) (x+7)^2 = 169 x+7 = 13 x = 13-7 x = 6m</span>
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3 years ago
What is 3divided by 1/5=
Svetradugi [14.3K]
Lucky huh ugh hung try high (15)
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Write the log equation as an exponential equation. You do not need to solve for x.
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Answer:

Step-by-step explanation:

(2x) (4x)= 8x = 3x+2

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