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3 years ago

What is the greatest common monomial factor of 6m3x4 + 30m5y2 + 45m3x6y2? 6m5x6y2 3m3 6m3 3m5x6y2

Mathematics

2 answers:

Digiron [165]3 years ago

8 0

I’d say 6 but I could be wrong

alex41 [277]3 years ago

7 0

Answer:

3m³

Step-by-step explanation:

The leading coefficiets, 6, 30 and 45 are all divisible by 3

m is the only variable present in all three terms.

m³ is a factor of m⁵

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PLEASE ANSWER FOR 30 POINTS

Alik [6]

Answer:

One Solution

Step-by-step explanation:

x + 3y = 3

x - y = -3

4y = 6 Subtract to solve by elimination.

y = $\frac{3}{2}$ Divide by 4.

x - $\frac{3}{2}$ = -3 Substitute $\frac{3}{2}$ for y in the original equation.

x = - $\frac{3}{2}$ Add $\frac{3}{2}$ .

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2 years ago

Identify the range of the parabola y=-(x+4)^2

Ede4ka [16]

The range is -infinity to infinity

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3 years ago

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the dog covers 1/2 of a metre.

almond37 [142]

Answer:

The goat would cover 9 meters in taking 24 steps.

Step-by-step explanation:

There is a mistake in the question so the correct question is below:

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers = $\frac{1}{2} \ meter.$

So, 3 step of horse covers = $\frac{1}{2} \times 3$ $=\frac{3}{2} =1.5\ meters.$

Thus, 3 steps of horse covers = 1.5 meters.

As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.

So, the distance covers by goat in 4 steps = 1.5 meters.

Now, to get the meters goat cover in taking 24 steps by using unitary method:

If, the distance cover by the goat in 4 steps = 1.5 meters

So, the distance cover by the goat in 1 step = $\frac{1.5}{4}$

Thus, the distance cover by the goat in 24 steps = $\frac{1.5}{4}\times 24$

= $\frac{36}{3}$

= $9\ meters.$

Therefore, the goat would cover 9 meters in taking 24 steps.

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3 years ago

List the sequence of transformations. ()=−2(−3)^4+1

SVEN [57.7K]

We have the function:

()=−2(−3)^4+1

We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:

Vertical translation: f(x) - 1

= −2(−3)^4

Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:

f(x + 3) + 1 = −2()^4

Horizontal shift: f(x + 3) - 1

= −2x^4

We can make a horizontal expansion if we multiply this function by 1/2:

Horizontal expansion: ( f(x + 3) - 1 ) / 2

= -x^4

Finally, we make a reflection around the x-axis by multiplying this result by -1:

x-axis reflection: -( f(x + 3) - 1 ) / 2

= x^4

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1 year ago

A rectangle has dimensions of 12 cm long and 10 cm wide what is the area of the rectangle

LiRa [457]

The area and the width are known as 60 and 12 respectively. Rearranging that equation above, and plugging the values, one gets the value of the length of the rectangle as 5.

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3 years ago