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maw [93]
3 years ago
10

Solve log(base 2) (x+1) + log (base 2) (x-5)= 4

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0
(x+1)(x-5)= 2^4=16

x^2 -4x -5 =16

x^2-4x-21=0

x= -3 or 7
but we would choose 7 as the answer as -3 gives negative value at (x+1) and we know that log of negative number is not defined.
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The nth term of a sequence is given by 3n² + 11 Calculate the difference between the 6th term and the 9th term of the sequence.​
katovenus [111]

The difference between the 6th term and the 9th term of the sequence is 135

<h3>How to determine the difference</h3>

Given that the nth term is;

3n² + 11

For the 6th term, the value of n is 6

Let's solve for the 6th term

= 3( 6)^2 + 11

= 3 × 36 + 11

= 108 + 11

= 119

For the 9th term, n = 9

= 3 (9)^2 + 11

= 3( 81) + 11

= 243 + 11

= 254

The difference between the 6th and 9th term

= 254 - 119

= 135

Thus, the difference between the 6th term and the 9th term of the sequence is 135

Learn more about algebraic expressions here:

brainly.com/question/4344214

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4 0
2 years ago
Sally graphs a system of inequalities as shown below:
sdas [7]

Step-by-step explanation:

first inequality :

x + 2y ≥ 10

second inequality :

x - y ≤ -2

6 0
2 years ago
(-1,7),(5,7)what is the distance between ordered pairs
trapecia [35]

Answer:

Exact Form:

2 √ 10

Decimal Form:

6.32455532

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

√ ( -5+7 ) 2 + ( 7 − 1 ) 2

3 0
3 years ago
What is £900 decreased by 5%
zaharov [31]
First find out what 5% of 900 is.

0.05 * 900 = 45

Now subtract this from 900.

900 - 45 = 855

So £900 decreased by 5% is £855.
5 0
3 years ago
Read 2 more answers
Question 2:
Mashutka [201]
He rode his bike for 45 min a day for 6 days that means he rode 270 min in total. And the total he worked out was 360 min that week.

360 - 270 = 90

Now you divide by 6 because of the days he worked out.

90 divided by 6 = 15.
3 0
3 years ago
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