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3 years ago

Simplify number 17 please

Mathematics

2 answers:

SpyIntel [72]3 years ago

5 0

$( \frac{4x^{5}y}{16xy^{4}} )^{3}\\
(\frac{1x^{4}}{4y^{3}})^{3}\\
\frac{x^{4*3}}{4^{3}y^{3*3}}\\\\
\frac{x^{12}}{64y^{9}}$

Brrunno [24]3 years ago

4 0

64x^15y^3/4096x^3y^12

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URGENT!!! 50 POINTS!!! URGENT!!!!!!! Consider the polynomial functions P (x) and Q (x) , where neither polynomial is a constant

Nutka1998 [239]

Answer:

Always

Sometimes

Never

Step-by-step explanation:

P(X) + Q(X)

Sum of two polynomials is always a polynomial.

For example, Let P(x) = 3x² and Q(x) = 5x

$$ \implies$ P(x) + Q(x) = 3x² + 5x

This is again a polynomial.

In other words, we can say that Polynomial is closed under addition.

P(x) . Q(x)

Product of two polynomials is again a polynomial.

Let P(x) = 2x and Q(x) = a constant function, 5

Then the product = 10x, is again a polynomial.

Multiplication of two polynomials is closed.

P(x) / Q(x)

This need not always be a polynomial. When Q(x) = a constant function zero, i.e., Q(x) = 0, then the function is not defined.

But let's say P(x) = 5x² and Q(x) = x.

$\frac{P(x)}{Q(x)}$ = $\frac{5x^2}{x}$ = 5x, a polynomial.

So, $\frac{P(x)}{Q(x)}$ is a polynomial sometimes.

We can, say Division is not always closed.

1/Q(x)

This could never be a polynomial. This is not even in the form of a polynomial. So, $\frac{1}{Q(x)}$ is never a polynomial.

Hence, the answer.

7 0

3 years ago

Find the length of side x to the nearest tenth. 30° 12 x х 60°

k0ka [10]

Answer:

13.9

Step-by-step explanation:

Use the Pythagorean Theorem

x=13.85 round to the nearest tenth 13.9

8 0

3 years ago

Raisins (x) that sell for $1.60 per pound are mixed with chocolate chips (y) that sell for $2.45 per pound to make 17 pounds of

Rasek [7]

Answer: B) x + y = 17

1.60x + 2.45y = 34

Step-by-step explanation:

Cost of x = $1.60 per pound

Cost of y = $2.45 per pound

Total pounds of x and y = 17

Cost per pound of mixture = $2

Total number of pounds of the mixture :

x + y = 17

Since the cost per pound of the mixture = 2

Hence ;

(Cost of x * number of pounds of x) + (Cost of y * number of pounds of y)

(1.60 * x) + (2.45 * y) = (cost per pound of mixture * total number of pounds of the mixture)

1.60x + 2.45y = 2 * 17

1.60x + 2.45y = 34

3 0

3 years ago

Find all solutions for a triangle with a = 14, b= 12, and B = 90°.

ziro4ka [17]

Answer:

No solution.

Step-by-step explanation:

Given

$a = 14; b= 12; B = 90^\circ$

Required

Find all possible solutions

If $B = 90^\circ$ , then the triangle is right-angled and the hypotenuse is at b

Given that $a = 14; b= 12;$

This implies that a > b

In a right-angled triangle, the hypotenuse (side b) is the longest.

Since this is not true for the given sides, then the triangle has no solution.

5 0

3 years ago

In Europe, 53% of the flowers of the Rewardless Orchid, Dactylorhiza sambucina, are yellow, whereas the remaining flowers are pu

stich3 [128]

Answer:

a. The probability of taking out a purple flower is 0.47.

b. The probability that out of a sample of 5 flowers at least 3 flowers are yellow 0.56.

c. The standard deviation of the distribution for proportion of yellow flowers is 0.22.

d. The probability that out of the 263 samples, at most 150 of them are yellow is 0.90.

Step-by-step explanation:

7 0

3 years ago