MATHEMATICS HIGH SCHOOL

What is the greatest common factor of 8m, 36m3, and 12?

4
8
4m
8m

Answers

Answer 1

Answer:

The greatest common factor is exactly as it sounds: the greatest factors of two or more expressions.

Factorize the numbers and identify all common factors. To get the GCF multiply all common factors:

$8m=2\cdot 2\cdot 2\cdot m,\n36m^3=2\cdot 2\cdot 3\cdot 3\cdot m\cdot m\cdot m,\n 12=2\cdot 2\cdot 3$ .

Common factors are: 2 and 2, their product is 2·2=4, then the greatest common factor is 4.

Answer 2

Answer: Hello,
the gcd is 4 .

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John is going to start saving $20 every month to buy a new IPod. His parents gave him $10 for his birthday to open his savings account. The equation y = 20x + 10 represents John’s savings account balance x months after be began saving.a) How many months will it take John to save enough money for the $300 IPod? Explain.

b) If John saved $40 per month instead of $20, how would you expect the slope of the graph to change? Explain.

Answers

a) The number of months for the saving of $300 will be 14¹/₂.

b) The slope of the saving of $40 will be y = 40 x + 10

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that John is going to start saving $20 every month to buy a new iPod. His parents gave him $10 for his birthday to open his savings account. The equation y = 20x + 10 represents John’s savings account balance x months after he began saving.

Part (a),

The number of the months will be calculated as,

y = 20x + 10

300 = ( 20 x + 10 )

290 = 20x

x = 14¹/₂ months

Part(b),

The slope will be 40 for the saving of $40.

To know more about an equation of the line follow

brainly.com/question/18831322

#SPJ2

Answer A: It would take fifteen months, or one year and three months, to get three hundred dollars.

Answer B: It would take seven and a half months to get three hundred dollars at this rate. It would also change the slope by making it go down more.

Step-by-step explanation:

Three hundred divided by twenty equals fifteen, which represents the amount of months.

If you do the same thing with the other ratio, but change twenty to forty, you get seven and a half.

Have a nice day!

F the formula is used to find the mean of the following sample, what is the value of n?51, 37, 83, 44, 52, 19, 99, 7, 36, 88, 3

A. 12
B. 10
C. 9
D. 11

Answers

n is the number of data = 11

n is the number of terms
in this case there are D. 11 terms

For what values of k does the equation x^2 - (5k+1)x + 9k^2 = 0 have real roots?

Answers

K has a range from[ -1/11 to 1]

real roots occur when the determinant b^2-4ac >= 0

so substituting:-

(5k + 1)^2 - 4*1* (9k^2) >= 0
25k^2 + 10k + 1 - 36k^2 >= 0
-11k^2 +10k + 1 >= 0
11k^2 - 10k - 1 <= 0
(11k + 1)(k - 1) <= 0

the equation will have real roots for -1/11 =< k <= 1

Which set of values could be the side lengths of a 30-60-90 triangle? A. {4, 4 square root of 3, 8} B. {4, 4 square root of 2, 8 square root of 2} C. {4, 4 square root of 2, 8} D. {4, 4 square root of 3, 8 square root of 3}

Answers

Your answer is A.

When you have a 30-60-90 triangle, your sides will always have a set pattern.

The side across from the 30 angle will be equal to n (in this case n = 4).

The side across from the 60 angle will always be equal to n√(3) (in this case, 4√(3)).

The side across from the 90 angle will always be 2n (in this case, 8).

You could go into trig or pythagorean theorem to prove this, but it's much simpler to remember it because it's a special triangle.

So, you're answer is A.

Answer:

Your answer is going to be letter A

Step-by-step explanation:

Apex

In a class test.containing 15 questions 4 marks are given for every correct answer and -2 marks are given for every wrong answer james attempt all the question but only 9 of his answers correct .What is his total score