MATHEMATICS HIGH SCHOOL

X=(1)/(2+√(3) )
y=(1)/(2-√(3) )

x+y=

Answers

Answer 1
Answer:

Answer:

4

Step-by-step explanation:

Simplify x and y by rationalising the denominator of both

To rationalise the denominator multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of 2 + √(3) is 2 - √(3)

The conjugate of 2 - √(3) is 2 + √(3)

x = (1(2-√(3)) )/((2+√(3))(2-√(3)) ) = (2-√(3) )/(4-3) = 2 - √(3)

y = (1(2+√(3)) )/((2-√(3))(2+√(3)) ) = (2+√(3) )/(4-3) = 2 + √(3)

Thus

x + y = 2 - √(3) + 2 + √(3) = 4

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Work out 25% of 20 metres

Answers

Answer:

5 meters

Step-by-step explanation:

We have to calculate 25% of 20 meters

So we rewrite the equation

25% × 20

(25)/(100) × 20

0.25 × 20

= 5 meters

25% of 20 meters is 5 meters

What is the value of x?
70°
12x + 14

Answers

Answer:

(14 )/(3)

Step-by-step explanation:

12x=70-14=56

x=

(56)/(12) = (14)/(3)

A company with 10,000 employees would like to know whether their employees think that they are paid enough. Do you think asking the question to 200 employees from the same department is most representative of all the employees? Explain your reasoning.

Answers

Answer: It is not.

Step-by-step explanation:

The salaries paid to the various departments of a company are usually different as some departments get paid more than others. For instance, in a manufacturing company, the R&D department would on average, get paid more than members of the Cleaning department.

Asking members of only one department therefore, about their pay satisfaction would not bring about a reasonable result because it would not be indicative of the thoughts of members of the other departments who are not being paid the same.

Whicg is an exponential decay function?


thx

Answers

Hello,

a^x is an exponentiel decay function if 0<a<1

7/4>1
(4/5)^-1 >1
(8/7)^-1 =7/8 <1 ******
9/2 >1

Answer C
 
The second one is a decay function because the value in parentheses is less than one. 

I need help pleaseee

Answers

Oof that looks really hard sorry can’t help but wish u good luck...

You work at a local grocery store. Your paychecks over the past 6 weeks were $56.05, $41.50, $22.50, $52.90, $49.85 and $31.00. Find the mean, median and mode.

Answers


Mean is the average of all the paychecks, so it will be: (56.05 + 41.50 + 22.5 + 52.9 + 49.85 + 31)/ 6

The mean is: $42.30. So on average she earns $42.30 each week.

We can find the median by arranging from smallest to larges so: 22.5, 31, 41.5, 49.85, 52.9 and 56.05. Since we have an even number of entries, we will take the average of the middle two entries: (41.5 + 49.85)/2

So the median is: 45.68 (rounded to the nearest tenth)

Mode is the number that appears the most in a given set. In this set we can see, that no number is repeated. Therefore there is no mode.

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