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2 years ago

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

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5 times 7/8 then converted to simplest form?

pantera1 [17]

5*7/8 = 4 3/8
5/1 * 7/8 = 35/8
convert into mixed number because numerator is bigger than the denominator so it it
4 3/8

7 0

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