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kati45 [8]
3 years ago
8

Which of the following functions best describes this graph?

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0

Answer:

i believe C but i might be wrong

Step-by-step explanation:

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Please show ALL work!<br><br> Solve for x: log₂x+log₂(x-6)=4
Vlad [161]
Answer: x = 8

---------------------------------------------
---------------------------------------------

I'm going to use the notation log(2,x) to indicate "log base 2 of x". The first number is the base while the second is the expression inside the log (aka the argument of the log)

log(2,x) + log(2,(x-6)) = 4
log(2,x*(x-6)) = 4
x*(x-6) = 2^4
x*(x-6) = 16
x^2-6x = 16
x^2-6x-16 = 0
(x-8)(x+2) = 0
x-8 = 0 or x+2 = 0
x = 8 or x = -2

Recall that the domain of log(x) is x > 0. So x = -2 is not allowed. The same applies to log(2,x) as well.

Only x = 8 is a proper solution.

------------------------

You can use the change of base rule to check your work
log base 2 of x = log(2,x) = log(x)/log(2)
log(2,(x-6)) = log(x-6)/log(2)

So,
(log(x)/log(2)) + (log(x-6)/log(2)) = 4
(log(8)/log(2)) + (log(8-6)/log(2)) = 4
(log(8)/log(2)) + (log(2)/log(2)) = 4
(log(2^3)/log(2)) + (log(2)/log(2)) = 4
(3*log(2)/log(2)) + (log(2)/log(2)) = 4
3+1 = 4
4 = 4
The answer is confirmed

5 0
3 years ago
Sean borrowed some money from his friend in order to help buy a new video game system. Sean agreed to pay back his friend $10 pe
aliya0001 [1]

Answer: (10)9

Step-by-step explanation:

6 0
3 years ago
Find the area of shaded sector of the circle?
Y_Kistochka [10]
Tutu bskdnb dhdbdvrnir
8 0
3 years ago
Please help me on this!!<br> 5n+17≥n–3≥–15+5n
DENIUS [597]

Answer:

-5 ≤ n ≤ 3

Step-by-step explanation:

Firstly we solve the equation two at a time;

5n + 17 ≥ n - 3

5n - n ≥ -3 - 17

4n ≥ -20

n ≥ -5

-5 ≤ n

n - 3 ≥ -15 + 5n

n - 5n ≥ -15 + 3

-4n ≥ -12

-n ≥ -3

n ≤ 3

Therefore,

5n+17 ≥ n–3 ≥ –15+5n, becomes

-5 ≤ n ≤ 3

6 0
3 years ago
Help I don't understand this, Can someone explain this to me?
saul85 [17]

Answer:

The second answer is correct (5 x 1,000,000,000)

Step-by-step explanation:

Just count the number of zeros. Multiplying a number liket his by five doesn't change the number of zeros

7 0
2 years ago
Read 2 more answers
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