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3 years ago

How to do it and how it works

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

7 0

Answer is 4 x^2, you multiply coefficients, y’s exponents cancel out, and x’s exponents becomes x^2

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Which equation in slope intercept form contains the point (4, -1) and has a slope of 3

Nimfa-mama [501]

Answer:

Final answer is $y=3x-13$ .

Step-by-step explanation:

Given that slope of the line is m=3

Plug the given point (4,-1) and the slope m=3 into point sloep formula:

$y-y_1=m\left(x-x_1\right)$

$y-(-1)=3\left(x-4\right)$

$y+1=3\left(x-4\right)$

$y+1=3x-12$

$y=3x-12-1$

$y=3x-13$

Which looks like slope intercept form of line y=mx+b

Hence final answer is $y=3x-13$ .

5 0

3 years ago

Read 2 more answers

The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

qaws [65]

Answer:

Step-by-step explanation:

Let P be the population of the community

So the population of a community increase at a rate proportional to the number of people present at a time

That is

$\frac{dp}{dt} \propto p\\\\\frac{dp}{dt} =kp\\\\ [k \texttt {is constant}]\\\\\frac{dp}{dt} -kp =0$

Solve this equation we get

$p(t)=p_0e^{kt}---(1)$

where p is the present population

p₀ is the initial population

If the initial population as doubled in 5 years

that is time t = 5 years

We get

$2p_o=p_oe^{5k}\\\\e^{5k}=2$

Apply In on both side to get

$Ine^{5k}=In2\\\\5k=In2\\\\k=\frac{In2}{5} \\\\\therefore k=\frac{In2}{5}$

Substitute $k=\frac{In2}{5}$ in $p(t)=p_oe^{kt}$ to get

$\large \boxed {p(t)=p_oe^{\frac{In2}{5}t }}$

Given that population of a community is 9000 at 3 years

substitute t = 3 in ${p(t)=p_oe^{\frac{In2}{5}t }}$

$p(3)=p_oe^{3 (\frac{In2}{5}) }\\\\9000=p_oe^{3 (\frac{In2}{5}) }\\\\p_o=\frac{9000}{e^{3(\frac{In2}{5} )}} \\\\=5937.8$

<h3>Therefore, the initial population is 5937.8</h3>

7 0

3 years ago

-3y(-4y)=32+(x^0+y^0)^5

docker41 [41]

Any number to the power of 0 equals 1. So, we can rewrite the equation as follows:
$12y=32+2^{5}=32+32=64$
$y=\frac{64}{12}=5\frac{1}{3}$

5 0

4 years ago

Question in photo! Thank you !! :)

kompoz [17]

$y = \frac{1}{2} x - 3$

8 0

3 years ago

Read 2 more answers

Identify the slope and the y-intercept of<br> the line with the given equation:<br> 2x+6y=12

Elza [17]

Answer:

The slope is -1/3 and the y-intercept is (0, 2).

Step-by-step explanation:

2x+6y=12

6y=12-2x

6y=-2x+12

y=-2/6x+12/6

y=-1/3x+2

y=mx+b where m=slope and b=y-intercept

5 0

3 years ago