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Ludmilka [50]
3 years ago
5

A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

Y=-4x+8

Step-by-step explanation:

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If g(x) is the inverse of f(x), what is the value of f(g(2))?
Elan Coil [88]

Answer:

2

Step-by-step explanation:

So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!

So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.

*In the future*

When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.

For example:

ln(x) and e^x are inverses so if I had a composition like this:

e^{ln(2)}

The answer to this would be 2 because these inverse functions "'cancel" out

So

e^{ln2} = 2

8 0
3 years ago
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Mr.Jones has a new car. The manufacturer says that the car should get about 28 miles per gallon in the city. About how many mile
Elza [17]

Answer:

73

Step-by-step explanation:

ikp me le rehat se me cave koken o budalla dreqi se sna le rehat fare jevg dreqi i shkallum i ri

8 0
3 years ago
What property describes the number sentence 6+0=6
makkiz [27]
Zero property is what it's called
3 0
4 years ago
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Find a linear equation to model this real-world application:
SSSSS [86.1K]

The linear equation to model the company's monthly expenses is y = 2.5x + 3650

<em><u>Solution:</u></em>

Let "x" be the units produced in a month

It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.

Cost per unit = $ 2.50

The company has monthly operating expenses of $350 for utilities and $3300 for salaries

We have to write the linear equation

The linear equation to model the company's monthly expenses in the form of:

y = mx + b

Cost per unit = $ 2.50

Monthly Expenses = $ 350 for utilities and $ 3300 for salaries

Let "y" be the total monthly expenses per month

Then,

Total expenses = Cost per unit(number of units) + Monthly Expenses

y = 2.50(x) + 350 + 3300\\\\y = 2.5x + 3650

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650

3 0
3 years ago
If √6 is the geometric mean between 4 and another number, then the number is<br> 1.5<br> 9<br> 24
konstantin123 [22]
Correct answer is A.

g - geometric mean
g= \sqrt{ab} &#10;\\&#10;\\g= \sqrt{6} ,a=4,b=?&#10;\\ \sqrt{6}= \sqrt{4b} &#10;\\  (\sqrt{6})^2= (\sqrt{4b} )^2&#10;\\6=4b&#10;\\&#10;\\b= \frac{6}{4} = \frac{3}{2}=1.5
4 0
3 years ago
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