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3 years ago

the functions of f and g are given by f(x)=6x+8and g(x)=x-2 over 3. An expression for gf(x) in its simplest form

Mathematics

1 answer:

dmitriy555 [2]3 years ago

4 0

Answer:

gf(x) = (6x+6)/3

Step-by-step explanation:

replace f(x) in x on g(x)..then you get the answer

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Which line segments do you draw to find the center of a circle circumscribed about a triangle?

Nat2105 [25]

You draw perpendicular bisectors to find the center of a circle circumscribed about a triangle. Hook me up with 5 stars :)

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3 years ago

I need help plzzzzzzz help24+4x=6x+2

Tasya [4]

The answer is x=11 !

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3 years ago

Read 2 more answers

Through: (2,2), parallel to y=x+42)

shtirl [24]

Answer:

y=x

Step-by-step explanation:

We want a line parallel to y =x+42

The slope of y =x+42 is 1

Parallel lines have the same slope

We have the slope m=1 and a point (2,2)

We can use point slope form to write a line

y-y1 = m(x-x1)

y-2 = 1(x-2) point slope form

Changing to slope intercept form

y-2 = x-2

Add 2 to each side

y-2+2 = x-2+2

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3 years ago

Using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equ

Nimfa-mama [501]

Answer:

In year 2030 the population is predicted to be 71.75 million

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Using data from 2010 and projected to 2020, the population of

the United Kingdom (y, in millions) can be approximated by the

equation 10.0 y − 4.55 x = 581

- x is the number of years after 2000

- We need to know in what year the population is predicted to be

71.75 million

* <em>Lets substitute the value of y in the equation by 71,75</em>

∵ The equation of the population is 10.0 y - 4.55 x = 581

∵ y = 71.75

∴ 10.0(71.75) - 4.55 x = 581

∴ 717.5 - 4.55 x = 581

- Subtract 717.5 from both sides

∴ - 4.55 x = - 136.5

- Divide both sides by - 4.55

∴ x = 30

∵ x represents the number of years after 2000

∵ 2000 + 30 = 2030

∴ In year 2030 the population is predicted to be 71.75 million

6 0

3 years ago

Write the slope-intercept form of the equation of each line.

gregori [183]

Greetings!

Answer:

2y = x - 6

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -2x, the slope of this line is -2

When finding the slope of a line perpendicular, you need to find the $\frac{-1}{slope}$

So, in this case it is:

$\frac{-1}{-2}$

The negatives cancel out which leave $\frac{1}{2}$

So the gradient is $\frac{1}{2}$

Now, to find the equation of a line, you need to use:

y - y1 = m(x - x1)

Where ya and x1 are the values in the coordinates (2 , -2)

So y1 = -2, x1 = 2, and m is a half. Plug these values in:

y - - 2 = $\frac{1}{2}(x - 2)$

We need to get rid of the half so we multiply the whole equation by 2:

2y - - 4 = (x - 2)

The minus and the negative turn into a positive:

2y + 4 = x - 2

And now simply move the +4 over to the other side, making it a negative:

2y = -2 - 4 + x

Simplify:

2y = x - 6

<h3>So the equation of the line is 2y = x - 6</h3>
<h2>Hope this helps!</h2>

5 0

3 years ago