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defon
3 years ago
14

Factorise:

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

a)(5m+3n)^3 b)(4a-3b)^3

Step-by-step explanation:

a)125m^3+27n^3+225m^2 n+135mn^2

Use the binomial cube formula, a^3+3a^2

b+3ab^2+b^3=(a+b)^3, where a=5m and b=3n.

(5m+3n)^3

b)64a^3-144a^2 b+108ab^2-27b^3

Use the binomial cube formula, p^3-3p^2q+3pq^2-q^3=(p-q)^3, where p=4a and q=3b.

(4a-3b)^3

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Sasha sells T-shirts. Each day she earns a set amount, plus a commission. Choose the linear function f to determine Sasha's pay.
fenix001 [56]

Answer:

a. The correct option is f(x) = 3x + 65.

b. Sasha earns 146 that day.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.

The explanation to the answer is now given as follows:

a. Choose the linear function f to determine Sasha's pay.

Note: See the attached excel file to see the determination of the correct linear function f to determine Sasha's pay.

From the list of linear functions f given in the question, x represents the number of T-shirts Sasha sold in one day.

Therefore, the correct linear function f to determine Sasha's pay can be determined by simply substituting number of T-shirts for x in each of the linear function f to see which one is the same as the table provided in the question.

From the attached excel file, the correct option is f(x) = 3x + 65. This is indicated in bold red color in the attached excel file.

b. If Sasha sells 27 T-shirts in one day how much money does she earn that day?

This can be calculated using f(x) = 3x + 65 which is the correct linear function f determined in part a above and substituting 27 for x as follows:

Sasha’s earning = 3(27) + 65

Sasha’s earning = (3 * 27) + 65

Sasha’s earning = 81 + 65

Sasha’s earning = 146

Therefore, Sasha earns 146 that day.

Download xlsx
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> xlsx </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
5 0
3 years ago
Read 2 more answers
Write (3x + 2)2 in expanded form using the polynomial identity (x + y)2 = x2 + 2xy + y2.
Jet001 [13]
(3x)^2 + 12x + 4


You're welcome.

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3 years ago
If f(x) = 3x – 2 and g(x) = 2x + 1, find (f – g)(x).
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A 3-x because 3 equal f and g equal x for the second equation

7 0
4 years ago
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Dafna1 [17]
The concept to answer this question can be bought from physics. 
The Snell's law of refraction says that, the ration of sine of angle of incidence to the the sine of angle of refraction is constant for a given media.

This means; 
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Where θ1 = angle of incidence and
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(sinθ1)/(sinθ2) = k
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4 0
3 years ago
Determine whether the sequence is geometric.if it is geometric,find the common ratio r​
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Answer: r = 2

Step-by-step explanation:

3 0
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