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3 years ago

Find the greatest common monomial factor : 4a^5b^2 and ab

Mathematics

1 answer:

3241004551 [841]3 years ago

8 0

4a^5b^2=2*2*a*a*a*a*a*b*b
ab=a*b
greatest factor is ab

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Anybody know the answer?

Sonbull [250]

Hope this helps you!!!

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3 years ago

Let a and b be real constants such that \[x^4 ax^3 3x^2 bx 1 \ge 0\]for all real numbers x. Find the largest possible value of a

tatiyna

Answer:

Infinity

Step-by-step explanation:

Since $x^4 ax^3 3x^2 bx 1 \ge 0$ for all real numbers x, this property is also true for x=1, which tells us that

$1^4 a1^3 3\cdot1^2 b\cdot 1=3ab\ge0$

On the other hand, note that for all real numbers x, it holds that

$x^4x^3x^2x\ge 0$

Therefore, if

$3ab\geq0$

we have tat

$3ab x^{4}x^{3}x^{2}x^{1}1=x^4ax^3 3x^2bx1\ge0$

The last reasoning tells us that the property $x^4 ax^3 3x^2 bx 1 \ge 0$ holds for all real numbers x if an only if $ab\ge0$

Therefore, we can choose arbitrary constants a and b as long as

$ab\ge0$

We can choose a and b such that both positive, both negative or one of the two constants is equal two zero. In the first two cases

$a^2b^2$

can get as big as we want, depending on the constants, and we are done.

8 0

3 years ago

Which fraction is equivalent to 12.5%?

Vanyuwa [196]

Answer:

One eighth

Step-by-step explanation:

By multiplying each fraction by 100, you can get the percentage.

(1/8) x 100 = 12.5

(5/4) x 100 = 125

(16/25) x 100 = 64

4 0

3 years ago

Read 2 more answers

Madera High School's Drama Department sold tickets to their next show. Tickets for adults were $10 each and youth were $5 each.

Leni [432]

Answer:

I can't see the equations but I can give you one

Step-by-step explanation:

1150 = 5y + 10a

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3 years ago

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What is the probability that a data value in a normal distribution is between a z-score of -0.56 and a z-score of 1.12? Round yo

Sholpan [36]

Answer: 0.6

Step-by-step explanation: normalcdf:(lower: -0.56, upper: 1.12, mean:0, standard deviation:1)

mean and standard deviation are automatically 0 and 1, respectively, because the data set is standardized by z-scores.

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3 years ago