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Bogdan [553]
3 years ago
9

Helppppppppppppppppppppppppppppp

Mathematics
1 answer:
GalinKa [24]3 years ago
7 0
Answer:
x = 4

Explanation:
For the right hand side:
log base 9 of 8 + log base 9 of (x-2) = log base 9 (8*(x-2))
                                                          = log base 9 of (8x-16)
For the left hand side:
2*log base 9 of x = log base 9 of x^2

Now, equating the two sides and solving for x:
log base 9 of (8x-16) = log base 9 of x^2
This means that:
x^2 = 8x - 16
x^2 - 8x + 16 = 0
(x-4)^2 = 0
Therefore:
x = 4

Hope this helps :)
You might be interested in
The capacity of a petrol tank is 80 litres. If it initially contains 5 litres and a petrol pump fills it at 3 litres per 10 seco
deff fn [24]

Answer:

A. 41 litres

B. 83.33 seconds

C. 250 seconds

Step-by-step explanation:

From the given data:

The capacity of a petrol tank = 80 litres

Litres of petrol that was initially in the tank = 5 litres

Petrol pump fills at = 3 litres per 10 seconds

A. To find the amount of fuel in the tank after 2 minutes

Let the amount of fuel in the tank after 2 minutes be x

60 seconds make 1 minute

There are 120 seconds in 2 minutes

If, 3 litres = 10 seconds

   x litres = 120 seconds

x litres = (120 X 3) / 10

x litres = 36 litres

There will be 36 litres pumped after 2 minutes

So the amount of fuel in the tank will be,  the initial litres in the tank + litres pumped after 2 minutes

Which is,  5 litres + 36 litres = 41 litres

B. To find how long it will take to fill the tank to 32 litres,

Implies, an additional 25 litres is required to be added to the initial 5 litres of petrol in the tank

3 litres = 10 seconds

25 litres = x seconds

x seconds = (10 X 25) / 3

x seconds = 83.33 seconds

83.33 seconds is required to fill the tank to 32 litres

C. To find how long it will take to fill the tank.

Since the tank capacity is 80 litres, and it has an initial fuel of 5 litres, an additional 75 litres is required to fill the tank

If, 3 litres = 10 seconds

   To get an additional 75 litres = (75/ 3) X 10 seconds = 250 seconds

Therefore, 250 seconds is required to fill the tank

8 0
3 years ago
Is the number 110 a<br> composite number?<br> Yes<br> No
MakcuM [25]

Answer:

Yes

Step-by-step explanation:

A composite number is any number that can be divided evenly by more numbers than 1 and itself. The number 110 can be evenly divided by 1,2,5,10,11,22,55, and 110. So it is a composite.

Hope this helps

3 0
3 years ago
Comparew 3 3/22 and 3 2/33. Which is greater? How do you know?
Mars2501 [29]
Because the larger the number the smaller it's worth so 3 3/22 is greater
5 0
3 years ago
PLEASE HELP!!! ( I'll name you brainliest if you get it right)
aksik [14]

Answer:

10(5+4)^/4

10(9)^/4

90^/4

=2025

3 0
3 years ago
Need help with 13 and 14
Svetach [21]

Answer:

13. A

14. C.

Step-by-step explanation:

A relation is a function if there is only one y assigned to each x.

That is if you have a set of points, there should be no repeated x value.

So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.

The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.

The y-intercept is where the graph goes through the y-axis at.  It goes through at -1 so b=-1.

The slope is rise/run.  So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works.  You can do the counting if you want. You could also use the slope formula.

To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.

(0,-1)

-(3,1)

--------

-3  -2

So the slope is -2/-3 or just 2/3.

So the equation is y=2/3 x-1

C.

3 0
3 years ago
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