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3 years ago

G(x) = x-6 Domain of g:

Mathematics

2 answers:

nataly862011 [7]3 years ago

4 0

Answer:

g(x) = x - 6

Domain of g: All real numbers

Range of g: All real numbers

Domain of g + k: x >= 0

Range of g + k: y >= -6

Step-by-step explanation:

just did it, egen2020

love history [14]3 years ago

3 0

Answer:

All real numbers

Step-by-step explanation:

The domain is just what values of x you can plug in as an input. In this case, you can plug in any number, as the graph is just a line that has no restrictions. An example of a case where the domain isnt just any number would be g(x) = 5/x, because in that case, x couldn't be 0 because you cant divide by zero.

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Last year, Shen opened an investment account with $7800. At the end of the year, the amount in the account had decreased by 22.5

maks197457 [2]

Answer:

The decrease was $1755.

At the end of the year, he had $6045 in his account.

Step-by-step explanation:

Start with $7800.

Decrease of 22.5% of $7800.

22.5% of $7800 =

= $1755

The decrease was $1755.

$7800 - $1755 = $6045

At the end of the year, he had $6045 in his account.

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3 years ago

Find the area of the figure please

Eva8 [605]

Answer:

16m

Step-by-step explanation:

Separate the rectangle from the triangle. The area of the rectange is 10m. We know this because l x w (2m x 5m).

Now for the triangle;

The area of a triangle is b x h / 2. We take the full height of the figure and subtract 5 from it giving us 3 which is our height for the triangle. We then see that 2m is on the bottom and we add that 2m to the two separate 1m giving us 4m in total.

Now that we have the base and height of the triangle we plug in giving us 6m. Finally we add both the areas; 10m + 6m = 16m.

8 0

3 years ago

Read 2 more answers

Given the proportion 8/5 = 2/m-3 what is the value of m

m_a_m_a [10]

Hey there! :)

Answer:

m = 4.25, or 17/4.

Step-by-step explanation:

Given the proportion:

$\frac{8}{5}= \frac{2}{m-3}$

Cross multiply:

8(m - 3) = 5 · 2

Distribute the 8:

8m - 8(3) = 10

8m - 24 = 10

Add 24 to both sides:

8m = 34

Divide both sides by 8:

8m/8 = 34/8

m = 4.25, or 17/4.

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3 years ago

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leonid [27]

X=10 y=5 would be the answers I'm not sure on the equation

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3 years ago

Read 2 more answers

Please help me with these 5 questions!

kipiarov [429]

Answer:

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

$k=y/x$

substitute

$k=1/4$

the equation is equal to

$y=(1/4)x$

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

$y=(1/5)x-1$

Part 8) we have

$y+4=-\frac{2}{3}x$

This is the equation of a line into point slope form

The slope is negative $m=-2/3$

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

$0+4=-\frac{2}{3}x$

$x=-4*3/2=-6$

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3+1}{8+2}$

$m=\frac{-2}{10}$

simplify

$m=-\frac{1}{5}$

Part 15) we have

$y=3x-2$

The slope is positive $m=3$

The y-intercept is -2 (For x=0)

The x-intercept is (For y=0)

$0=3x-2$

$3x=2$

$x=2/3$

therefore the line is a

7 0

3 years ago