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pychu [463]
2 years ago
8

Write the equation for g (x)

Mathematics
1 answer:
Valentin [98]2 years ago
7 0

The equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)

<h3>Equation of a line</h3>

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

where:

  • m is the slope
  • (x1, y1) is the point on the slope

If the function g(x) is parallel to f(x), they will have the same slope. Hence the required slope is25.

Determine the required equation of a line

y - y1 = m(x-x1)

y - 8 = 25(x-3)

Hence the equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)

Learn more on equation of a line here: brainly.com/question/13763238

#SPJ1

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pantera1 [17]
5*7/8 = 4 3/8
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4 3/8
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3 years ago
What is the anwser to 3(x-4)=12x
e-lub [12.9K]

Answer:

x=-4/3

Step-by-step explanation:

3x-12=12x

3x-12x=12

-9/-3=12/-3

then -3 cancels

3x/3=-4/3

then 3 cancels 3

so x=-4/3

5 0
3 years ago
A neighbor farmer had some chickens. She had 24 feet of wire fencing to
Paraphin [41]

Answer:

A rectangle is defined by its length = L, and its width = W.

So the perimeter of the of the rectangle can be written as:

Perimeter = 2*L + 2*W.

In this case, we want to leave the perimeter fixed, so we have:

24ft = 2*L + 2*W.

Now, we do not have any other restrictions, so to know the different dimensions now we can write this as a function, by isolating one of the variables.

2*L = 24ft - 2*W

L = 12ft - W.

or:

L(W) = 12ft - W.

Such that:

W must be greater than zero (because we can not have negative or zero width).

And W must be smaller than 12ft (because in that case we would have zero or negative length)

Then the possible different dimensions are given by:

L(W) = 12ft - W

0ft < W < 12ft.

8 0
3 years ago
The town of madison has a population of 25,000. The population is increasing by a factor of 1.12 each year. Write a function tha
GaryK [48]
<h3>The population P(t) at the end of year t is   P(t)   = 25,000 \times (1.12)^t</h3>

Step-by-step explanation:

The initial population of town of Madison = 25,000

The rate at which the population is increasing = 1.12 times

So, the increase in population first year  :

( the initial population)  x (1.12)^1  = 1.12 x ( 25,000)  

= 28,000

So, the population at the end of first year = 28,000

Similarly, the increase in population second year  :

( the initial population)  x (1.12)²  =  ( 25,000)   x (1.12)²

= 31,360

So, the population at the end of second year =31,360

Now, to calculate the population in t years from now:

The population P(t) at the end of year t is

P(t)   = 25,000 \times (1.12)^t

5 0
3 years ago
RST stock has an annual dividend per share of $4.35 and a closing price per share of 39.50. What is the yield % for RST stock (t
Nostrana [21]

Step 1

Yield% = (annual dividend per share) / (closing price per share)

\begin{gathered} Yield\text{ \%}=\frac{\text{annual dividend per share}}{\text{closing price per share}} \\  \\ Yield\text{ \%}=\frac{4.35}{39.50} \\  \\ Yield\text{ \%}=\text{ 0.11} \end{gathered}

6 0
1 year ago
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