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2 years ago

Please solve by factorising

Mathematics

2 answers:

Vladimir [108]2 years ago

8 0

X = 3/2 or x = 1. One of those two lol

Inessa [10]2 years ago

4 0

Answer:

$x = \frac{3}{2}$ or $x = 1$

Step-by-step explanation:

Hope this helps!

brainliest?

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Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. How many points di

nordsb [41]

Answer:

45 points

Step-by-step explanation:

You could do it with proportions. Start with 18/x=40/100. then, cross multiply and you should get x=45.

4 0

2 years ago

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What is 2+4+12-12+21+14-10

Vanyuwa [196]

Answer:

Step-by-step explanation:

2 + 4 = 6

6 + 12 = 18

18 - 12 = 6

6 + 21 = 27

27 + 14 = 41

41 - 10 = 31

4 0

3 years ago

Suppose a certain population satisfies the logistic equation given by dP

Ksenya-84 [330]

Answer:

The population when t = 3 is 10.

Step-by-step explanation:

Suppose a certain population satisfies the logistic equation given by

$\frac{dP}{dt}=10P-P^2$

with P(0)=1. We need to find the population when t=3.

Using variable separable method we get

$\frac{dP}{10P-P^2}=dt$

Integrate both sides.

$\int \frac{dP}{10P-P^2}=\int dt$ .... (1)

Using partial fraction

$\frac{1}{P(10-P)}=\frac{A}{P}+\frac{B}{(10-P)}$

$A=\frac{1}{10},B=\frac{1}{10}$

Using these values the equation (1) can be written as

$\int (\frac{1}{10P}+\frac{1}{10(10-P)})dP=\int dt$

$\int \frac{dP}{10P}+\int \frac{dP}{10(10-P)}=\int dt$

On simplification we get

$\frac{1}{10}\ln P-\frac{1}{10}\ln (10-P)=t+C$

$\frac{1}{10}(\ln \frac{P}{10-P})=t+C$

We have P(0)=1

Substitute t=0 and P=1 in above equation.

$\frac{1}{10}(\ln \frac{1}{10-1})=0+C$

$\frac{1}{10}(\ln \frac{1}{9})=C$

The required equation is

$\frac{1}{10}(\ln \frac{P}{10-P})=t+\frac{1}{10}(\ln \frac{1}{9})$

Multiply both sides by 10.

$\ln \frac{P}{10-P}=10t+\ln \frac{1}{9}$

$e^{\ln \frac{P}{10-P}}=e^{10t+\ln \frac{1}{9}}$

$\frac{P}{10-P}=\frac{1}{9}e^{10t}$

Reciprocal it

$\dfrac{10-P}{P}=9e^{-10t}$

$P(t)=\dfrac{10}{1+9e^{-10t}}$

The population when t = 3 is

$P(3)=\dfrac{10}{1+9e^{-10\cdot 3}}$

Using calculator,

$P=9.999\approx 10$

Therefore, the population when t = 3 is 10.

8 0

2 years ago

There are only red, blue and green counters in a bag

I am Lyosha [343]

Answer:

I Literally just completed that myself.

red= 6/18

Not blue= 14/18

Step-by-step explanation:

5 0

2 years ago

the table shows the amount for seven months of the year. which is the median amount of rainfallnin the town from march to septem

hammer [34]

Answer:

no graph

Step-by-step explanation:

imma guess 30 tho

6 0

2 years ago

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