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nika2105 [10]
3 years ago
6

What is the least common multiple of 4x^3, 9y, and 12x^3y

Mathematics
2 answers:
NARA [144]3 years ago
8 0

The LCM for 4x^3, 9y, 12x^3y, is the numeric part 36 multiplied by the variable part 36x^3y.

blondinia [14]3 years ago
5 0

Answer: 36x^3y

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

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Write an equation parallel to the function y=2x+3 and goes through the point (1, -4)
sergey [27]

Answer:

y=2x-6

Step-by-step explanation:

Parallel functions are functions with the same slopes but are in different positions on the coordinate plane (for this case it means that they have different y- intercepts)

So this means that the function will have a slope of 2

To find the equation we must plug in the value (1, -4) and find the new y-intercept(c)

(-4)= 2(1)+c

-4-2=c

-6=c

This means that the parallel function that goes through the point (1,-4) is

y=2x-6

6 0
3 years ago
Find each product.
dsp73

Answer:

B) 7v^3-15v^2-17v-3

Step-by-step explanation:

(v-3)(7v^2+6v+1)

7v^3+6v^2+v-21v^2-18v-3

7v^3+6v^2-21v^2+v-18v-3

7v^3-15v^2-17v-3

5 0
3 years ago
Prove the identity.<br> tan(x − y) + tan(z − x) + tan(y − z) = tan(x − y) tan(z − x) tan(y − z)
Viktor [21]

Step-by-step explanation:

This is known as the triple tangent identity.  Start with the fact that the three angles add up to 0.

(x − y) + (z − x) + (y − z) = 0

Subtract two terms to the other side and take the tangent:

x − y = -((z − x) + (y − z))

tan(x − y) = tan(-((z − x) + (y − z)))

Use reflection property:

tan(x − y) = -tan((z − x) + (y − z))

Now use angle sum identity:

tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]

tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]

tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)

4 0
3 years ago
Find the slope of the line passing through the points (9,2) and (9,-5)
-BARSIC- [3]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (9, 2) and (x₂, y₂ ) = (9, - 5)

m = \frac{-5-2}{9-9} = \frac{-7}{0}

Since division by zero is undefined then the slope is undefined.

This indicates that the line is vertical.

4 0
3 years ago
What is the probability of selecting a red jack from a deck of cards?
Ostrovityanka [42]

Answer:

There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.

Step-by-step explanation:

3 0
2 years ago
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