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Paha777 [63]
2 years ago
14

Use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3​

Mathematics
1 answer:
madam [21]2 years ago
5 0

Answer:

(1-x2)× (2-3x)2

(1-x2) ×(8-36x+54x2-27x3)

8-36x+54x2-27x3-8x2+36x3-54x4+27x5

8-36x+46x2+9x3-54x4+27x5

Answer: 27x5-54x4+9x3+46x2-36x+8  

Step-by-step explanation:

step 1- expand the expression

step 2- remove the parentheses

step 3- collect like terms

step 4- reorder the terms

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24 inches = ____ feet ?
Roman55 [17]

Answer:

thought this was a joke, but 24 inches is 2 feet sir or madam

Step-by-step explanation:

5 0
3 years ago
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Solve for k: -3k -3k = -29 + 77
sineoko [7]

Answer:

k=48

Step-by-step explanation:

Add  -29 and 77

k: -3k -3k =48

6 0
3 years ago
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Please if anyone could help me with this questions??
Stels [109]

Answer:

Question 5

a)Simple Interest = Nu 450, Total Amount = Nu 6,450

b)Simple Interest = Nu 250, Total Amount = Nu 12,750

c)Simple Interest = Nu 2,880, Total Amount = Nu 10,880

Question 6

The amount of commission Mindu earned was Nu 4,750

Step-by-step explanation:

Question 5

Simply Interest formula is given as

I = P × R × T

Total Amount = P + I

Where

P = Principal

R = Rate

T = Time in years

I = Interest

a) P = Principal = Nu 6000

R = Rate = 15% = 0.15

T = Time = 6 months , converting to years = 6/12 months = 0.5years

I = Interest = 6000 × 0.15 × 0.5

I = Nu 450

Amount = P + I

= Nu 6000 + Nu 450

= Nu 6,450

Simple Interest = Nu 450, Total Amount =Nu 6,450

b) P = Principal = Nu 12,500

R = Rate = 8% = 0.08

T = Time = 3 months , converting to years = 3/12 months = 0.25 years

I = Interest = 12,500 × 0.08 × 0.25

I = Nu 250

Amount = P + I

= Nu 12,250 + Nu 240

= Nu 12,750

Simple Interest = Nu 250, Total Amount =Nu 12,750

c) P = Principal = Nu 8000

R = Rate = 12% = 0.12

T = Time = 3years

I = Interest = 6000 × 0.12 × 3

I = Nu 2,880

Amount = P + I

= Nu 8000 + Nu 2,880

= Nu 10,880

Simple Interest = Nu 2,880, Total Amount = Nu 10,880

Question 6

We are told in the question that each month:

If sales are up to Nu 75,000, = Mindu earns 3% commission

If sales are over Nu 75,000 = Mindu earns 5% commission

Last month, Mindu has sales of Nu 95,000

Since his sales was above Nu 75,000 he earns a 5% commission

Therefore, the amount he earned as commission is calculated as:

Nu 95,000 × 5%

= Nu 4,750

Therefore, the amount of commission Mindu earned was Nu 4,750

3 0
3 years ago
What is the pattern of the trend line equation in this graph?
kondaur [170]

The pattern of the trend line from what we can see here shows the existence of a positive upward trend.

<h3>What is a positive upward trend?</h3>

We can see that the graph has fluctuations which have an upward trend over the years. This upward trend can be gotten from the straight line that was drawn on the graph.

It slants to the top. This shows us that the trend is positive and rising over the period of time that we have in the graph. In the graph, the upward trend can be seen from the fact that there has been a rise in the temperature of the city over the time period that was illustrated. The increase in temperature rose from 31.5 to 33 degrees period of time.

Hence we can conclude that The pattern of the trend line from what we can see here shows the existence of a positive upward trend.

Read more on trend lines here: brainly.com/question/27194207

#SPJ1

4 0
2 years ago
When you divide a whole number by fraction with a numerator of one explain how you can find the quotient
MariettaO [177]
In this item, we are asked for the methodology to arriving the answer when the whole number is divided by a fraction with 1 as a numerator. If example we have the whole number as 4 and the fraction with 1 as numerator is 1/2, the division would become, 4/(1/2). We multiply the whole number by the reciprocal of the given fraction which then becomes, 4(2/1). The final answer would be 12.

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6 0
3 years ago
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