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Burka [1]
4 years ago
8

What is the answer to the inequality-3g-4<17

Mathematics
1 answer:
olga nikolaevna [1]4 years ago
7 0

Answer:

g > -7  

Step-by-step explanation:

-3g - 4 < 17

      +4   +4      Add 4 to both sides

-3g < 21    Divide both sides by -3

g > -7      

You change the direction of the inequality sign when you divide by a negative number.

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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
4 years ago
Read 2 more answers
Solve 4x − 2(x + 1) = 3x + 10. −12 12 −8 8
Dominik [7]
Original Equation: 4x - 2(x+1) = 3x + 10

Step 1: Use Distributive Property
4x - 2x - 2 = 3x + 10

Step 2: Combine Like Terms
2x - 2 = 3x + 10

Step 3: Solve
       2x - 2 = 3x + 10
     - 2x        -2x 
--------------------------------
      -2 = x + 10
    -10         -10
------------------------
    -12 = x





8 0
3 years ago
Read 2 more answers
Approximately how many times greater is 1.2×103 than 4×10−1 ?
Galina-37 [17]
3000 Quick answer
Let your calculator do the work. Be careful how you enter this in. (Are you supposed to estimate it? We'll get around to that.) Write it like this.

1.2 * 10^3 divided by 4 * 10^-1 Your calculator will do this nicely. The trick is the - 1. Put it in the calculator like this.
1.2 
*
10
^
3
=
÷
4
*
10
^
(-1) 
= The calculator should read 3000
That's one way to do it. Another way is just to do it all by hand. The numbers are easy enough
1.2 * 10^3 means shift the decimal 3 places right. 1 200 which is 1200
4 * 10^-1 can be handled 2 ways 10 to the minus 1 in the denominator becomes 10^1 in the numerator. Notice the sign change on the 10 when you shift if :it becomes plus! That's why you did it.

1200 * 10^1 
12000

Now you are still left with 4 in the denominator.
12000/4 = 3000. 

The first method always works. The second one gives you a better understanding of how powers work. There are other ways of doing this, but these are the two best, I think.
4 0
3 years ago
Joshua owns a trucking company. For every truck that goes out, Joshua must pay the driver $25 per hour of driving and also has a
lara [203]

Answer:

number of miles=a

number of hours=y

Step-by-step explanation:

<h3>$25 per how y of driving</h3><h3>$2 per how many a per mile</h3><h3>a  x y = the total price </h3><h3 /><h3 /><h3 /><h3>plz mark me as the brainliest  </h3>
6 0
3 years ago
If the ratio of milk cartons to juice boxes is 13:x and there are 39 milk cartons
max2010maxim [7]
The answer is 6 because 39/13=3 and 18/3=6
8 0
3 years ago
Read 2 more answers
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