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Serga [27]
2 years ago
10

Choose 2 hellllpppppp plzzzxxxxzz

Mathematics
1 answer:
diamong [38]2 years ago
5 0

Answer:

Choices C and D

Step-by-step explanation:

The most simplest way is just to solve each one and see which two have the same answer as the first expression.

But you could also see that both of the \frac{4}{7} are going to cancel each other out so you are left with -\frac{8}{9} +\frac{9}{8}  which is also choice C.

For choice D I distributed the negative one to the insides of the parenthesis that left me with -\frac{4}{7}-\frac{8}{9}+\frac{4}{7} +\frac{9}{8}  which is the same expression as the first one.

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x-8)/(x+7) g(x) = (-7x-8)/(x-1) I'm runni
Sphinxa [80]
f(x)=\frac{x-8}{x+7} \\
g(x)=\frac{-7x-8}{x-1} \\ \\
f(g(x))=\frac{\frac{-7x-8}{x-1}-8}{\frac{-7x-8}{x-1}+7}=\frac{\frac{-7x-8}{x-1}-\frac{8(x-1)}{x-1}}{\frac{-7x-8}{x-1}+\frac{7(x-1)}{x-1}}=\frac{\frac{-7x-8}{x-1}-\frac{8x-8}{x-1}}{\frac{-7x-8}{x-1}+\frac{7x-7}{x-1}}=\frac{\frac{-7x-8-8x+8}{x-1}}{\frac{-7x-8+7x-7}{x-1}}= \\ =\frac{\frac{-13x}{x-1}}{\frac{-13}{x-1}}=\frac{-13x}{(x-1)} \times \frac{(x-1)}{-13}=x \\ \Downarrow \\ f(g(x))=x \\
\checkmark

g(f(x))=\frac{-7(\frac{x-8}{x+7})-8}{\frac{x-8}{x+7}-1}=\frac{\frac{-7(x-8)}{x+7}-\frac{8(x+7)}{x+7}}{\frac{x-8}{x+7}-\frac{1(x+7)}{x+7}}=\frac{\frac{-7x+56}{x+7}-\frac{8x+56}{x+7}}{\frac{x-8}{x+7}-\frac{x+7}{x+7}}= \\
=\frac{\frac{-7x+56-8x-56}{x+7}}{\frac{x-8-x-7}{x+7}}=\frac{\frac{-15x}{x+7}}{\frac{-15}{x+7}}=\frac{-15x}{(x+7)} \times \frac{(x+7)}{-15}=x \\ \Downarrow \\ g(f(x))=x \\ \checkmark
7 0
3 years ago
A train travels at a steady rate of 80 mph. If the train travels for one-half hour nonstop, what are the domain and range of the
alukav5142 [94]
The independent variable is time, which varies from 0 to 0.5, so domain = [0,0.5].
The distance travelled is the dependent variable, varying from 0 to (1/2)80=40 km.  The range is therefore [0,40].

Note: in interval notation, a square bracket means that the value is included in the interval.
8 0
3 years ago
Y= 5x -3 what does y=
irga5000 [103]

Answer:

15

Step-by-step explanation:

6 0
2 years ago
*25 points*
frosja888 [35]

Answer:use a caculator

Step-by-step explanation:

Simple duh like come on it easy

7 0
2 years ago
Pls help! 50 POINTS!
nirvana33 [79]

Answer:

See below.

Step-by-step explanation:

1)

So we have the equation:

2x+3y=1470

To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:

(2x+3y)-2x=(1470)-2x

The left side cancels:

3y=1470-2x

Now, divide both sides by 3. The left side cancels:

(3y)/3=(-2x+1470)/3\\y=-\frac{2}{3} x+490

The slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

Thus, the slope is -2/3 and the y-intercept is 490.

2)

So, since we already know the y-intercept is 490, plot a point at (0,490).

The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move <em>down</em> 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.

3)

To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.

y=-\frac{2}{3}x+490\\ f(x)=-\frac{2}{3}x+490

This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.

For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.

4)

Please refer to the attached graph.

5)

First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.

5 0
3 years ago
Read 2 more answers
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