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2 years ago

Which property justifies this statement?

Mathematics

2 answers:

Katen [24]2 years ago

5 0

I know its not division,addition,multiplication,with the process of elimination its reflexive

pashok25 [27]2 years ago

5 0

Answer with Step-by-step explanation:

The Reflexive property states that for every real number x, x=x

Division property states that if a=b and we divide it by any non zero number c then also a/c=b/c

Multiplication property states that if a=b and we multiply it by any number c then also ac=bc

Addition property states that if a=b and we add it by any number c then also a+c=b+c

We are given that x= -6

Adding both sides by 6

⇒ x+6=0

Hence, it justifies the addition property.

Hence, correct option is:

D, Addition

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Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

3 0

2 years ago

For what value of a does 9 equal 1/27 a + 3

Yakvenalex [24]

Answer:

a = 162

Step-by-step explanation:

9 = 1/27 a +3

Subtract 3 from each side

9-3 = 1/27 a +3-3

6 = 1/27 a

Multiply each side by 27

6*27 = 1/27 a *27

162 = a

6 0

2 years ago

Read 2 more answers

What is a formula for the nth term of the given sequence? 12, 6, 3

AURORKA [14]

Answer:

I think it is dividing the numbers by 2

4 0

1 year ago

Can you guys give me 3 examples of the inverse property

Irina-Kira [14]

Of multiplication or addition?

3 0

2 years ago

PLS HELP ILL GIVE 50 POINTS

Sloan [31]

Answer:

CU = 117

Step-by-step explanation:

Since we have similar triangles, we can use proportions. Put the small triangle sides over the large triangle side.

WC WD

----------- = -------------

WU WV

26 20

----------- = -------------

36x-1 110

Using cross products

26*110 = 20* (36x-1)

Distribute

2860 = 720x - 20

Add 20 to each side

2860+20 = 720x-20+20

2880 = 720x

Divide by 720

2880/720 = 720x/720

4=x

We need to find CU

CU = WU - WC

Substituting in what we know

CU = 36x-1 -26

Since we know x=4

= 36*4 -1 -26

144 - 27

= 117

6 0

2 years ago