What is the GCF of 12x and 44xy

Answers

Answer 1

Answer: $12x=4x\cdot3\n\n44xy=4x\cdot11y\n\nGCF(12x;\ 44xy)=4x$

Answer 2

Answer: If we don't know what 'x' and 'y' are, the best we can say is that the GCF is 4x .
But 'x' and 'y' can easily take on values that would change the GCF.

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If x=2+√3, find the value of x²+1/x²

Answers

$x^2+ (1)/(x^2) =x^2+2\cdot x\cdot (1)/(x) +((1)/(x))^2-2\cdot x\cdot (1)/(x) =(x+(1)/(x))^2-2\n\nx=2+ √(3) \ \ \ \Rightarrow\ \ \ x+ (1)/(x) =2+ √(3)+ (1)/(2+ √(3)) =2+ √(3)+ (2- √(3) )/((2+ √(3))(2- √(3))) =\n\n=2+ √(3) + (2- √(3) )/(4-3) =2+ √(3) +2- √(3) =4\n\nx+ (1)/(x) =4\ \ \ \Rightarrow\ \ \ (x+(1)/(x))^2-2=4^2-2=16-2=14$

x²+1/x² = $(x + 1/x)^(2)$ - 2 * x * ( 1 / x) = ( 2 + √3 + 2 - √3)^2 - 2 = 16 - 2 = 14.

You have 45 to spend at the music store. Each cassette tape costs $5 and each CD costs $12. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CD's

Answers

$45 is greater than or equal to 12y+5x

Why does the amount of water that flows in a river change during the year?

Answers

because of the rain. It can either increase or decrease

Which set of numbers can represent the lengths of the sides of a right triangle? Round to the nearest whole number. 4, 4, 4 4, 6.93, 8 11.2, 16.2, 19.2

Answers

Answer with explanation:

A set of numbers that is triplet is said to form the sides of a right triangle, if it satisfies Pythagorean Theorem,which states that

Square of longest side is equal to sum of Squares of other two sides.

1.First triplet=4,4,4

As, 4²≠4²+4²

Hence it does not form Pythagorean triplet.

2. Second triplet=4, 6.93, 8

Largest side length =8

8²=64

Sum of squares of two smaller sides =(6.93)²+4²

=48.0249+16

=64.0249

=64

3. Third triplet=11.2, 16.2, 19.2

Largest side length =19.2

(19.2)²=368.64

Sum of squares of two smaller sides =(11.2)²+(16.2)²

=125.44+262.44

=387.88

=388(approx)

Option B ⇒4,6.93, 8

Hello,

A: 4 , 4 , 4 not right triangle

B: 4 , 6.93 , 8 or 4²+6.93²=64,0249 ≈64=8²

C: 11.2 , 16.2 , 19.2 or 11.2²+16.2²=387,88 =(19,69...)²

The best choice is B

All are equivalent except x<-2, x-2<4, 2x<-4, x-2<-4 ?

Answers

To figure out which is not equivalent to the others,, we must solve each option provided. x < -2 is already solved,, so there is no need to do any work that option.
The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.
x < 4 + 2
Now add the numbers together to get your final answer.
x < 6
This means that we have one option that equals x < -2 and one option that equals x < 6.
Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.
x < -2
Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.
x < -4 + 2
Now calculate the sum of these two numbers to get your final answer.
x < -2
This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.
Let me know if you have any further questions.
:)

Determine which relation is a function. A.
{(–5, 1), (–5, 0), (–2, 1), (–1, 4), (6, 2)}

B.
{(–5, 1), (–2, 0), (–2, 2), (3, 4), (6, 2)}

C.
{(–5, 1), (–2, 0), (–1, 1), (2, 4), (6, 3)}

D.
{(–5, 3), (–2, 0), (–1, 2), (6, 4), (6, 3)}

Answers

Hello,
A: -5 has 2 images FALSE

B: -2 has 2 images FALSE

C:True it is a function

D: 6 has 2 images FALSE

Answer C:

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