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OlgaM077 [116]
3 years ago
13

Solve the logarithmic equation ln(3x-3) = ln(x-6)

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

x=-3/2

Step-by-step explanation:

=>ln(3x-3)=In(x-6)

=>3x-3=x-6 (since the bases of the logarithms are same)

=>2x=-6+3

=>2x=-3

=>x=-3/2

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What is the median of the data set:348,349,354,355,357,359,360,367,37,381,386,388,388
r-ruslan [8.4K]

Answer:

<u>359 </u>

Step-by-step explanation:

median is the middle value in an ordered list of numbers.

359 is the middle value of median data.

Hope this helps!

Thanks!

7 0
3 years ago
Read 2 more answers
Select all the factors roots of x^3 +2x^2-16x-32
Ivanshal [37]

Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.

x^3 + 2x^2 - 16x - 32

(x^3 + 2x^2) + (-16x-32) ... pair up terms

x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group

x^2(x + 2) - 16(x + 2) ... factor -16 from the second group

(x^2 - 16)(x + 2) .... factor out (x+2)

(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16

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

The original expression completely factors to (x - 4)(x + 4)(x + 2)

The three factors are x - 4  and  x + 4   and   x + 2

5 0
3 years ago
Read 2 more answers
Quickly please im very confused
deff fn [24]

Answer:

A: -16/3

B: 16/3

C: -6

D: -6

E: 6

Step-by-step explanation:

A would be -16/3 because you multiply -2 time 8 which is 116. And the denominator is 3.

B would be 16/3. It is the same as problem A but there are two negatives which make positive.

C is -6. You just divide -18/3.

D is the exact same as C. It just has parenthesis but the answer is still -6.

E is 6 because there are two negatives which make a positive.

5 0
3 years ago
two groups of friends are sharing apples of the same size. The first group of 3 friends share 4 apples. The second group of 4 fr
nikdorinn [45]

Answer:

The second group

Step-by-step explanation:

The first group is 4 apples for 3 friends.

= 4/3. They each got 1 & 1/3 of an apple.

The second group is 6 apples for 4 friends.

= 6/4. They each got 1 & 1/2 of an apple.

1 1/3 < 1 1/2, so friends in the second group get a larger portion of apples

3 0
3 years ago
Bill Mason is considering two job offers. Job 1 pays a salary of $41,300 with $5,525 of nontaxable employee benefits. Job 2 pays
kupik [55]

Answer:

To Calculate the monetary value of both jobs, you would have to calculate the percent tax rate of each salary and add the nontaxable benefit after taxes.

Step-by-step explanation:

Reminder: since the 25% is a tax rate which we need to <u>subtract</u> from the salary, 75% would be what is left over from the salary after taxes.

<u>Job 1:</u>   Job 1 pays a salary of $41,000 and $5,525 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

(41,000 * 0.75) + 5,525 = 36,275

<em><u>So the monetary value of Job 1 would be $36,275</u></em>

<u>Job 2:</u> Job 2 pays a salary of $40,400 and $7,125 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

(40,400*0.75) + 7,125 = 37,425

<em><u>So the monetary value of Job 2 would be $37,425</u></em>

3 0
3 years ago
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