MATHEMATICS HIGH SCHOOL

If 0 < x < 1 , which of the following lists the numbers in increasing order ??(a) √x , x , x²
(b) x² , x , √x
(c) x² , √x , x

Answers

Answer 1
Answer:

Answer:

(b) x² , x , √x

Step-by-step explanation:

Since, when x is a real number,

Such that 0 < x < 1

Then with increasing the exponent of x the value of x decreases,

That is, x with highest exponent is lowest,

Since,

2 > 1 > (1)/(2)

Thus, by the above statement,

x^2 < x < x^(1)/(2)

Hence, the numbers in increasing order is,

x² , x , √x

Where, 0 < x < 1

Option (b) is correct.
Answer 2
Answer: answer B

x = (1)/(4)    
\sqrt{ (1)/(4) }= (1)/(2) 
((1)/(4))^2 = (1)/(16)

(1)/(16)\ \textless \ (1)/(4)\ \textless \ (1)/(2)

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Marika and Freddy sold 70 homes for Ron Realty. If Marika sold 2.5 times as many homes as Freddy, how many homes did each sell?

Answers

It's 70(x)2.5 = 175 I think I might be wrong

What's 1/b^2÷a/b^2 simplified?

Answers

so we have( (1)/(b^(2)) )/( (a)/(b^(2)) )


multiply by ( (b^(2))/(a) )/( (b^(2))/(a) ) to make bottom number 1
( (b^(2))/(ab^(2)) )/( (ab^(2))/(ab^(2)) )=( (b^(2))/(ab^(2)) )/(1)=(b^(2))/(ab^(2)) = (1)/(a)
Use this formula to solve your question:

(a)/(b) / (c)/(d) = (a)/(b) * (d)/(c) =(ad)/(bc)

(1)/(b^2) / (a)/(b^2) = (1)/(b^2) * (b^2)/(a) = (b^2)/(b^2 * a) =\boxed{\bf{(1)/(a)}}

Your final answer is 1/a.

AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to AB ?A.
5x − 3y = 0
B.
-x + 3y = 0
C.
-5x − 3y = 0
D.
3x + 5y = 0
E.
-3x + 5y = 0

Answers

Answer:

3y + 5x = 0

Step-by-step explanation:

The slope of the line = (y2-y1) / (x2-x1) = (5-0)/(-6-(-3))

= 5 / -3 = -5/3

Using the point-slope form , the line that passes through the origin and parallel to this line is

y - 0 = -5/3(x - 0)

y = -5/3 x

Multiply through by 3:-

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Find two consecutive odd integers whose sum is 176

Answers

consecutive odd integers aer  2 apart

they are n and n+2
the sum is add
n+n+2=176
2n+2=176
minus 2 both sides
2n=174
divide both sides by 2
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n+2=89
the numbers are 87 and 89

Why is h²=p²+b²plz somebody help me ​

Answers

Answer:

This formula is related to Pythagorus theorem which states that in a right angled triangle square of hypotenuse is equal to sum of the squares of other two sides.

In other words, C²=B²+A²

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B. 2(x+5) = 19

C. 5x + 2 = 19

D. 19 = 2x - 5

E. 10 + 5x = 19

F. 5x = 9

G. 10x + 5x = 19

Answers

I’m sure it’s only A/E, apologies if wrong
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