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3 years ago

What is an equation of the line that passes through the point (-5,-3)(−5,−3) and is parallel to the line 3x+5y=15

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

8 0

Answer:

y = -3/5x - 6 or 3x + 5y = -30

Step-by-step explanation:

Given line:

3x + 5y = 15

Converting into slope-intercept form:

3x + 5y = 15
5y = - 3x + 15
y = -3/5x + 3

Parallel lines have the same slope, so the parallel line will be:

y = -3/5x + b

Using given point (-5, -3) finding the y-intercept:

-3 = -3/5(-5) + b
-3 = 3 + b
b = -3 - 3
b = -6

So the line is:

y = -3/5x - 6

Or converted into standard form:

y = - 3/5x - 6
3/5x + y = -6
3x + 5y = -30

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100 POINTS!!!!

Vladimir [108]

There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers

Answer:

$t= 462.82\ days$

Step-by-step explanation:

Exponential Growth

When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is

$\displaystyle f(x) = f_o(1 + r)^t$

Where $f_o$ is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)

The initial value is 100 Instant followers, thus:

$\displaystyle f(x) = 100(1.01)^t$

We need to know when the number of followers will reach 1,000,000. Setting up the equation

$\displaystyle 100(1.01)^t=1,000,000$

Simplifying by 100

$\displaystyle (1.01)^t=10,000$

Taking logarithms

$\displaystyle t\ log(1.01)=log\ 10,000$

$\displaystyle t\ log(1.01)=4$

Solving for t

$\displaystyle t=\frac{4}{log(1.01)}=925.63$ periods of 12 hrs

$t= 462.82\ days$

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3 years ago

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2 years ago

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s2008m [1.1K]

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melomori [17]

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hope this helps!

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3 years ago

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victus00 [196]

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