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const2013 [10]
3 years ago
9

Write into a single logarithm log b (X+1)+ log b (X-8)

Mathematics
1 answer:
ElenaW [278]3 years ago
3 0
To solve, use properties of logs, specifically log(u)+log(v)=log(uv). This makes your equation logb(x+1)+logb(x-8)=logb((x+1)(x-8)), which can be made into logb(x^2-7x-8) by expanding the factored form.
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Helllp meeee this assignment is missing and I realy need to do it ASAP
Scrat [10]
A=6 because 54/9=6
For b, the picture is not very clear and so I can’t see properly but if it says b/3 then b=45 because 15•3=45
c=11 because 23-12=11
6 0
3 years ago
In a city the distance between the libary and the police station is 3 miles less than than the distance between the police stati
Mademuasel [1]

Answer:

8 miles

Step-by-step explanation:

Given

<em>Represent the police station with P, Library with L; Fire station with F</em>

<em>The first statement can be represented as:</em>

<em></em>L - P = P - F - 3

<em>The second can be represented as:</em>

L - P = 5

Required

Determine the distance between the police station and the fire station (P - F)

L - P = P - F - 3 --- (1)

L - P = 5 --- (2)

Substitute 5 for L - P in (1)

5 = P - F - 3

Add 3 to both sides

3 +5 = P - F - 3 + 3

3 +5 = P - F

8= P - F

P - F = 8

5 0
3 years ago
A slow boat to china travels at a constant speed of 17.25 miles per hour for 200 hours. how far was the voyage?​
tensa zangetsu [6.8K]

Answer:

3450 miles

Step-by-step explanation:

Multiply the number 17.25 by 200 since the boat is traveling for 200 hours and each hour is 17.25 miles to get 3450 miles which is your answer.

4 0
3 years ago
Read 2 more answers
The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average ag
Lelu [443]

Answer:

a.1.90 years

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

n = 25, \sigma = 3.8

So

M = 2.575*\frac{3.8}{\sqrt{25}} = 1.90

So the correct answer is:

a.1.90 years

8 0
3 years ago
Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each
valina [46]

Answer:

140 + 96 m

Step-by-step explanation:

There are 4 weeks in 1 month.

Therefore:

Jonny has $50 in a savings account. Each week, he deposits $13 in the account.

$50 + $13 × 4m

The algebraic expression is given as:

50 + 52m

Jonny's brother has $90 in a saving account.

Each week, he deposits $11 in the account.

The algebraic expression is given as:

$90 + $11 × 4m

90 + 44m

An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:

Amount Jonny has + Amount his brother has

50 + 52m + 90 + 44m

= 50 + 90 + 52m + 44m

= 140 + 96 m

7 0
3 years ago
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