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2 years ago

There are five people sitting around the dinner table each person has 2/10 of a pie on thier plate. How much pie is left?explain

2 answers:

8 0

1 person has 2/10 and there are 5 people, so you add 2/10 per person.
1-2/10
2- 4/10
3- 6-10
4- 8-10
5-10/10

The answer is 0, there are no pieces left.

Roman55 [17]2 years ago

6 0

There is no pie left because 5 times 2/10 is 10/10 which is also a whole

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Answer:

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3 years ago

Write 9− 16x⁴ as the product of two factors.

Marysya12 [62]

Answer:

The two factors will be $=(3+4x^2)\ and\ (3-4x^2)$

Step-by-step explanation:

We have given the equation $9-16x^4$

We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

As $9-16x^4$ can be written as $3^2-(4x^2)^2$ , as square of 3 is 9 and square of $4x^2$ is $16x^4$

So $9-16x^4=3^2-(4x^2)^=(3+4x^2)(3-4x^2)$

So the two factors will be $=(3+4x^2)\ and\ (3-4x^2)$

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3 years ago

find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet p

Studentka2010 [4]

Answer:

x -2y = -4

Step-by-step explanation:

The slope of the line between points C and D is ...

m = (y2 -y1)/(x2 -x1)

m = (7 -13)/(5 -2) = -6/3 = -2

The slope of the perpendicular line is the opposite reciprocal of this: -1/(-2) = 1/2. The point-slope equation of the desired line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

y -1 = 1/2(x -(-2))

We can rearrange this to standard form.

2y -2 = x +2 . . . . . multiply by 2

-4 = x -2y . . . . . . . subtract 2y+2

x -2y = -4 . . . . . . standard form equation of the desired line

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2 years ago

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

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3 years ago

Find the value of x at which the function has a possible relative maximum or minimum point. (Recall that e Superscript x is pos

shutvik [7]

Answer:

x= -11/4 is a maximum.

Step-by-step explanation:

Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

$f'(x)= -e^{-4x}(11+4x)$

And then we get that if $11+4x = 0$ then $x = -11/4$ . So it has a critical point at $x = -11/4$ .

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

$f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56$

x= -11/4 is a maximum.

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3 years ago