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3 years ago

According to the table, which ordered pair is a local minimum of the function, f(x)?

Mathematics

2 answers:

sveticcg [70]3 years ago

7 0

Answer:

Option D

Step-by-step explanation:

Given is a table which gives the order pair of x and y for a function f(x)

We have to find the local minimum of the function f(x)

We have from the table the values of different f(x)

Of all we find the least value is -15 and for this x value is -2 or +2

Hence f(x) has minimum at two points

(-2,-15) and (2,-15)

Out of 4 options given we find that (2,-15) appears in IV option

Hence option D is right answer

Marina86 [1]3 years ago

7 0

A local minimum is a point with the lowest y (or f(x)) value. That being said, the answer with the lowest y value is D.

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Farmer Smith enclosed his rectangular pasture with fence that cost him $1.50 per linear meter. If his pasture is twice as long a

maria [59]

Answer:

$2,700

Step-by-step explanation:

Let the width of the pasture be x, this means that the length of the pasture will be 2x

The area of a rectangle is L * B

Hence,

x * 2x = 18,000

2x^2 = 180,000

x^2 = 90000

x = 300 meters

This means the length is 600 metres

Now, to get the length of the fence, we need to know the actual perimeter which is 2(L + B)

= 2 ( 300 + 600)

2 * 900 = 1,800 metres

The cost is thus 1,800 * $1.50 = $2,700

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2 years ago

What is the solution to the inequality?

nika2105 [10]

7x + 18 > -3

Subtract 18 from both sides,
7x > -21

Divide from 7,
x > -3

In short, Your Answer would be Option D

Hope this helps!

7 0

2 years ago

Read 2 more answers

Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?

Aneli [31]

$\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\$

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

$-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}$

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

$\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}$

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3 years ago

If you could help me on all of them you a live saver

PtichkaEL [24]

Answer:

(1.37) AUB = { 1,2,3,4,5,6}

(1.38) AUC = { 1,2,3,4,5 }

(1.39)BUC = { 1,2,3,4,5,6}

(1.40) { 2,4 }

(1.41) { 1,3,5 }

(1.42) { phi }

(1.43) AU(BUC) = { 1,2,3,4,5,6 }

(1.44) { phi }

(1.45) {1,2,3,4,5}

(1.46) { 1,2,3,4,5 }

$\huge\underline\red{Hope\:that\:helps}$

8 0

2 years ago

Which shows the expression below simplified?

patriot [66]

Answer:

Step-by-step explanation:

6 0

1 year ago