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3 years ago

What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2, -16)?

Mathematics

1 answer:

Mrrafil [7]3 years ago

5 0

Answer:

y= -10x + 5

Step-by-step explanation:

i did some math

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Solve.<br> X-9 = 12<br> .....

Lelechka [254]

Answer:

x=21

Step-by-step explanation:

x=9+12 x=21

5 0

3 years ago

Read 2 more answers

A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is the

ohaa [14]

Answer:

a) $t = 2 *ln(\frac{82}{5}) =5.595$

b) $t = 2 *ln(-\frac{820}{p_0 -820})$

c) $p_0 = 820-\frac{820}{e^6}$

Step-by-step explanation:

For this case we have the following differential equation:

$\frac{dp}{dt}=\frac{1}{2} (p-820)$

And if we rewrite the expression we got:

$\frac{dp}{p-820}= \frac{1}{2} dt$

If we integrate both sides we have:

$ln|P-820|= \frac{1}{2}t +c$

Using exponential on both sides we got:

$P= 820 + P_o e^{1/2t}$

Part a

For this case we know that p(0) = 770 so we have this:

$770 = 820 + P_o e^0$

$P_o = -50$

So then our model would be given by:

$P(t) = -50e^{1/2t} +820$

And if we want to find at which time the population would be extinct we have:

$0=-50 e^{1/2 t} +820$

$\frac{820}{50} = e^{1/2 t}$

Using natural log on both sides we got:

$ln(\frac{82}{5}) = \frac{1}{2}t$

And solving for t we got:

$t = 2 *ln(\frac{82}{5}) =5.595$

Part b

For this case we know that p(0) = p0 so we have this:

$p_0 = 820 + P_o e^0$

$P_o = p_0 -820$

So then our model would be given by:

$P(t) = (p_o -820)e^{1/2t} +820$

And if we want to find at which time the population would be extinct we have:

$0=(p_o -820)e^{1/2 t} +820$

$-\frac{820}{p_0 -820} = e^{1/2 t}$

Using natural log on both sides we got:

$ln(-\frac{820}{p_0 -820}) = \frac{1}{2}t$

And solving for t we got:

$t = 2 *ln(-\frac{820}{p_0 -820})$

Part c

For this case we want to find the initial population if we know that the population become extinct in 1 year = 12 months. Using the equation founded on part b we got:

$12 = 2 *ln(\frac{820}{820-p_0})$

$6 = ln (\frac{820}{820-p_0})$

Using exponentials we got:

$e^6 = \frac{820}{820-p_0}$

$(820-p_0) e^6 = 820$

$820-p_0 = \frac{820}{e^6}$

$p_0 = 820-\frac{820}{e^6}$

8 0

3 years ago

2 in., 3 in., 6 in.<br> can a triangle have sides with the given lengths

Rainbow [258]

Answer:

No because the 6+4 does not equal 36.

Step-by-step explanation:

first make the hypotenuse 6 the other two are sides A and B

Use the pythagorean theorem: 3^2+2^2+6^2

6+4=36

3 0

3 years ago

at the mall, myla bought a shirt for $25.36, a hat for $5.09 and a belt for $11.45. how much did she spend altogether?

malfutka [58]

The summation of the money Myla spend altogether is $41.9

As in the given problem we can see Myla bought

a shirt for $25.36 and

a hat for $5.09 and

a belt for $11.45.

Hence we need to know the cummulative price she spend altogether.

To get the total price we should add the price of shirt hat and belt.

Summing all the prices we get

$25.36+$5.09+$11.45=$41.9

As all the quantities are given in one currency thus we can add them by simple addition formula.

Thus she spend $41.9 altogether at the mall.

Learn more about the summation here:

brainly.com/question/9458437

#SPJ4

8 0

1 year ago

What integer represents √ 4

wariber [46]

Answer:

2 is the answer

Step-by-step explanation:

the square root of 4 is 2... right?

3 0

3 years ago