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yan [13]
3 years ago
11

Solve: log2(x-4) = 4

Mathematics
2 answers:
defon3 years ago
7 0

Answer:

D

Step-by-step explanation:

log₂(x-4) = 4

Undo the log by raising 2 to both sides:

2^(log₂(x-4)) = 2^4

x - 4 = 2^4

x - 4 = 16

x = 20

Answer D.

kow [346]3 years ago
4 0

log2(x-4) =4. The answer is D) 20

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F(x-3)=f(x)-f(3)<br>Prove:<br>f(0)=0​
Sergio039 [100]

Step-by-step explanation:

Let x=3.

So, f(3-3)=f(3)-f(3), and thus f(0)=0.

8 0
2 years ago
4 less than half a number is equal to 2 more than the number
xxMikexx [17]

Answer:

-12

Step-by-step explanation:

Let that number be x. We can build an equation, and solve for x.

4 less than half of x is x/2-4.

2 more than x is x+2.

We are given that the two quantities are equal, so we have that x/2-4=x+2.

Adding 4 to both sides gives x/2=x+6.

Multiplying both sides by 2 gives x=2(x+6)=2x+12.

Subtracting 2x from both sides gives -x=12.

Multiplying both sides by -1 gives x=-12.

So, the number is \boxed{-12} and we're done!

The check is left as an exercise to the reader.

3 0
2 years ago
Create a word problem on Algebraic Expressions and Measurement (grade 10)​
mrs_skeptik [129]

Frank can build a fence in twice the time it would take Sandy. Working together, they can build it in 7 hours. How long will it take each of them to do it alone?

Answer

If Frank and Sandy can build the fence in 7 hours, they must be building

1

7

of the fence every hour.

Now, let the amount of time it takes Sandy be

x

hours so that Frank takes

2

x

hours. Sandy can build

1

x

of the fence every hour and Frank can build

1

2

x

of the fence every hour.

We now have the following equation to solve.

1

x

+

1

2

x

=

1

7

2

+

1

2

x

=

1

7

21

=

2

x

x

=

21

2

=

10.50

Thus, Sandy takes

10.50

hours and Frank takes

21

hours.

6 0
2 years ago
write in graphing form please! A parabola that opens down with no stretch factor that has a vertex of (-6,5)
wolverine [178]
If it has no stretch factor, then there will be no coefficient. Meaning this is a lot easier. So, we equation is

(x+6)^2 + 5

Hope this helps!
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8 0
3 years ago
What is the interquartile range of this data set 2,5,9,1118,30,42,55,58,73,81
kogti [31]

Answer:

49

Step-by-step explanation:

If so  the inter quartile range = 58 - 9 = 49

5 0
3 years ago
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