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2 years ago

-5x+3y=6 in slope intercept form

Mathematics

1 answer:

Leno4ka [110]2 years ago

8 0

slope intercept form is y=mx+b

To find this from standard form you need to remove x to the other side. To do this you need to add 5x to both sides. You will end up with 3y=5x+6. To yet the y by itself you need to divide everything in the equation by 3. You would end up with y=5/3x +2 which is the equation in slope intercept form

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Read 2 more answers

In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

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2 months ago

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Naddika [18.5K]

The correct answer is option D

The solution is shown below:

$x^{2} +16 \\ \\ 
= x^{2} +(4)^{2} \\ \\ 
= x^{2} -(-1)(4)^{2} \\ \\ 
= x^{2} -i^{2} (4)^{2} \\ \\ 
= x^{2} -(4i)^{2} \\ \\ 
=(x+4i)(x-4i)
$

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midline of the oscillation will be 7.5 m

the wheel.take 8 minutes to complete revolution then it means the height will oscillate with a period of 8 minutes

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