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Ket [755]
3 years ago
9

3. There are 6 places set at each table for the big outdoor party.

Mathematics
1 answer:
Ainat [17]3 years ago
8 0
You do 6x4 , The amount of legs on the chairs is irrelevant information, but your answer will be 24 people
24 people
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Find the inverse of the given function.
kodGreya [7K]

For this case we must find the inverse of the following function:

f (x) = - \frac {1} {2} \sqrt {x + 3}

We follow the steps below:

Replace f(x) with y:

y = -\frac {1} {2} \sqrt {x + 3}

We exchange the variables:

x = - \frac {1} {2} \sqrt {y + 3}

We solve for "y":

- \frac {1} {2} \sqrt {y + 3} = x

Multiply by -2 on both sides of the equation:

\sqrt {y + 3} = - 2x

We raise both sides of the equation to the square to eliminate the radical:

(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2

We subtract 3 from both sides of the equation:

y = 4x ^ 2-3

We change y by f ^ {- 1} (x):

f ^ {- 1} (x) = 4x ^ 2-3

Answer:f ^ {- 1} (x) = 4x ^ 2-3

7 0
4 years ago
Read 2 more answers
Use substitution to solve the system.<br> -5x + 3y = 19<br> x = 3y - 11
telo118 [61]

Answer:

x = -2

y = 3

Step-by-step explanation:

-5x + 3y = 19

x = 3y - 11

-5x + 3y = 19

-5(3y - 11) + 3y = 19

-15y + 55 + 3y = 19

-15y + 3y + 55 = 19

-12y + 55 = 19

-12y = 19 - 55

-12y = -36

y = -36/-12

<u>y = 3</u>

x = 3y - 11

x = 3(3) - 11

x = 9 - 11

<u>x = -2</u>

5 0
3 years ago
Last week Rachel power walked 2 miles per day on each of the 7 days. During the
Nady [450]

Answer: 34 miles

Step-by-step explanation:

First multiply the 2 miles she power walked by the 7 days. (14 miles)

Next, multiply the 5 miles by the 4 days. (20)

Add both numbers, 20+14=34 miles

6 0
3 years ago
Please help me!!!!
Free_Kalibri [48]

Answer: (ln10)/6=t

Step-by-step explanation: e is an irrational number, like pi. Therefore the only variable to solve for is "t." Divide both sides by 4, then subtract (1/4) from both sides to get 10. Then take the natural log of both sides because you get rid of e on the left side, and you have the variable by itself. Natural log, or ln, represents loge base e, so dividing both sides by 6, we get t! I hope this helps!

7 0
2 years ago
Read 2 more answers
48 + 32 written as a product of two factors
masha68 [24]

Answer:

12x5 or 16x(3+2)

Step-by-step explanation:

You can factor out 16 and get 16x(3+2). Both are factors of 48+32 because 3+2 is 5 and if you do 32+48 you get 60 which can be factored by 5. Or you can add them first to get 60 and then factor out 12 to get 12x5. Hope this helps!

6 0
3 years ago
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