MATHEMATICS HIGH SCHOOL

Which choice is equivalent to the quotient shown here when x > 0?√72x^3 divide by square root of 50x^2

Answers

Answer 1

Answer:

Answer:

$(3√(2x))/(5)$

Step-by-step explanation:

Starting point:

$(√(72x^3))/(50x^2)\n$

1) Factor it by Prime Factor Method 72 and 50

$72|2\n 36|2\n 18|2\n 9|3\n3|3\n 1\n 72=2^2*3^2*2$

$50|2\n 25|5\n 5|5\n 1\n 50=2*5^2$

2) Plug it in the factored form. Every exponent to the second power will be outside the radical, so its roots.

$(√(72x^2*x))/(50x^2)=(6x√(2x))/(5x√(2))=(6√(x))/(5√(2))$

3) Rationalize it multiplying by the radical, so that you can eliminate the square root on the denominator.

$(6√(x))/(5√(2))*(√(2))/(√(2))=(6√(2x))/(10)=(3√(2x))/(5)$

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Find 2 consecutive odd numbers given that difference between their resiprocal is 2/63

Answers

consecutive odd numbers are 2n+1, 2n+3

difference of reciprocals
1/(2n+1) - 1/(2n+3) = 2/63
((2n+3) - (2n+3))/(2n+1)(2n+3) =2/63
2/(4n^2 + 8n +3) =2/63
4n^2 + 8n +3 = 63
4n^2 + 8n -60 = 0
n^2 + 2n - 15 = 0
(n + 5)(n - 3) = 0
n = 3 (only positive)
numbers are 2(3)+1=7 and 9

Those odd numbers are nine and seven.

Jessica cannot remember the correct order of the five digits in her ID number. She does remember that the ID number contains the digits 9, 0, 3, 1, 5. What is the probability that the first four digits of Jessica's ID number will all be odd numbers?

Answers

Answer:

80%

Step-by-step explanation:

Since 4 of those 5 numbers are odd, the probability that the ID's first 4 numbers being odd is 4/5 which is 80%

Write to decimals whose quotient is close to 2.3

Answers

4.6/2=2.3 so for two decimals 4.6/2.1 is almost 2.3

Christine asks you for some help on her math homework by showing you the problem and answer she got.2x(3x - 1) = 5x2 - 1.0
Is Christine correct with her homework problem? Explain your reasoning,

Answers

Answer:

gusto mo lah asa ka ehh

umalis ka ga

ehh kaa

erita

papasok ba si maam

may p.e ba gaun zumba nanaman

A line has a slope of -1/2 and a y-intercept of 3.Which equations represent the line?

Choose all answers that are correct.

A. 2y = 6 + x

B. x + 2y = 6

C. y = -1/2x + 3

D. (y - 2) = -1/2( x - 2 )

Answers

One equation is: y = mx + b (slope-intercept formula)

m = slope = -1/2

b = y-intercept = 3

y = mx + b (replce m with -1/2 and 3 with b)

y = -1/2x + 3

The answer is C

2. Find the least no. by which 294 must be multiplied to make it a perfect square?

Answers

$294|2\n147|3\n.49|7\n.\ 7|7\n.\ 1|\n\n294=2*3*7^2=6*7^2\n\nAnswer:this\ number\ is\ 6\ becaue\ 6*294=6*6*7^2=6^2*7^2=(6*7)^2$

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