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NARA [144]
3 years ago
10

"absmiddle" class="latex-formula">and
{g}^{ - 1}(x) =  \frac{x + 6}{3}. With g(x) and
{g}^{ - 1}(x), find
{g}^{ - 1}(g(10)). Make sure to show your work.​
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Hey there! :)

Answer:

g^{-1} (g(10))=10

Step-by-step explanation:

Begin by calculating g(10):

g(x) = 3x - 6

Substitute in 10 for x:

g(10) = 3(10) - 6

g(10) = 30-6

g(10) = 24.

Plug '24' into 'x' into g^{-1} (x)

g^{-1} (24)=\frac{(24) + 6}{3}

Simplify:

g^{-1} (24)=\frac{30}{3}

g^{-1} (24)=10

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(I need someone to answer fast please and a clear answer too so ill mark them as brainlyest) :)
AVprozaik [17]

Answer: 12.6 m

Step-by-step explanation:

Use the pythagorean theorem, we get that the height, or x, is

sqrt(22x22-18x18) = sqrt(484-324) = sqrt(160) = 4sqrt(10) = 12.6 m

4 0
3 years ago
Read 2 more answers
ANSWER BOTH QUESTIONS FOR BRAINLIEST TY :)
Alchen [17]

Answer:

<h2>Angle X; 39</h2><h2>Angle Y; 129</h2>

Step-by-step explanation:

180-90

90

This gives us the measurement of 51+x.

90-51

39

This is x as well as the angle that is across from it.

x+90=y

39+90=129

y=129.

to find the last angle, we add 90 to 51. This gives us 141.

So, now we add up all of the angles to double check everything. If they all add up to 360 then we are correct.

39+39+51+90+141=

360.

This means that we have solved everything correctly and that these are the correct answers.

I know that this is really confusing but the answers that you need are at the top so hopefully this helped!

4 0
3 years ago
Read 2 more answers
A coin is tossed 20 times. It lands heads four times. Compare the experimental probability to its theoretical probability. If th
MrRa [10]

Theoretical probability is based on the likelihood of events.

if a coin is flipped 20 times, and it has landed on heads 4 times, theres a 50% chance it would land on heads the 5th time.

it could be that heads gets more than tails or it could be vise versa.

The probability of getting two heads is 1 in 4.

5 0
3 years ago
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t) = 2,280 - 60t can be us
Afina-wow [57]

Answer:

c. t = 18; the Chang family has been driving for 18 hours

Step-by-step explanation:

Given:

D(t) = 2,280 - 60t

Find t when D(t) = 1,200

D(t) = 2,280 - 60t

1200 = 2280 - 60t

Subtract 2280 from both sides of the equation

1200 - 2,280 = 2280 - 60t - 2,280

- 1080 = - 60t

Divide both sides by -60

- 1080 / -60 = - 60t / -60

18 = t

t = 18

This means the Chang family has been driving for 18 hours

c. t = 18; the Chang family has been driving for 18 hours

8 0
4 years ago
Given the recursive formula for a geometric sequence find the common ratio, the first four terms, and the explicit formula.
Dahasolnce [82]
Since a(n)=-3(a(n-1)) the common ratio is -3, and a(1)=-3 so

a(n)=-3(-3^(n-1)) so the first four terms are:

-3, 9, -27, 81
4 0
3 years ago
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