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3 years ago

PLEASE HELP HURRY !!Determine if the following system of equations has no solutions, infinitely many

Mathematics

1 answer:

alisha [4.7K]3 years ago

7 0

I’m pretty sure it’s no solutions but i could be wrong

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Is 5-5 a zero or 5+(-5)?

Olenka [21]

5-5 is your answer
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3 years ago

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I need help with this pleasee

Vedmedyk [2.9K]

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Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like.

stepladder [879]

The length of the curve $y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6 is 192 units

<h3>How to determine the length of the curve?</h3>

The curve is given as:

$y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6

Start by differentiating the curve function

$y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x$

Evaluate

$y' = x(9x^2 + 6)^\frac 12$

The length of the curve is calculated using:

$L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx$

This gives

$L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx$

Expand

$L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx$

This gives

$L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx$

Express as a perfect square

$L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx$

Evaluate the exponent

$L =\int\limits^6_3 {3x^2 + 1} \ dx$

Differentiate

$L = x^3 + x|\limits^6_3$

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

Read more about curve lengths at:

brainly.com/question/14015568

#SPJ1

7 0

2 years ago

What two positive real numbers whose product is 50 have the smallest possible sum?

Llana [10]

X * y = 50
y = 50 / x
S = x + y = x + 50 / x
S` = 1 - 50 / x²
1 - 50 / x² = 0
50 / x² = 1
x² = 50
x = √ 50 = 5 √2
y = 50 / 5√2 = 5 √2
Answer:
Those numbers are: x = 5√2 and y = 5√2.

7 0

3 years ago

When using the Poisson distribution, which parameter of the distribution is used in probability computations? What is the symbol

egoroff_w [7]

Answer:

The Poisson distribution uses the shape parameter denoted by <em>λ</em>.

Step-by-step explanation:

A Poisson distribution is used to describe the distribution of the number of events that take place in a fixed interval of time.

For instance, number of customers arriving at a bank in an hour or the number of typos encountered in a book every 50 pages.

The Poisson distribution uses the shape parameter to compute the probabilities of different events.

The shape parameter is defined as the average number of occurrence in a given time interval. It is usually denoted by <em>λ</em>.

The probability mass function of a Poisson distribution is:

$P(X=x)\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...$

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3 years ago