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3 years ago

Explain how you know that 7/12 is greater than 1/3 but less than 2/3

2 answers:

7 0

Or this question you should know that:
1/3 = (1*4)/(3*4) = 4/12
and
2/3 = (2*4)/(3*4) = 8/12
so you can see that 7/12 is greater than 4/12 which is 1/3 and less than 8/12 which is 2/3 :))))
i hope this is helpful
have a nice day

gavmur [86]3 years ago

6 0

You can find the common denominator which in this case is 12 and multiply both 1/3 and 2/3 by 4 to get 4/12 and 8/12 and you can clearly see this way the 4/12=1/3<7/12<8/12=2/3

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Should i use dy\dx (normal differentiation) or d²y\dx² (differentiation of the differentiation)?

11111nata11111 [884]

Use both!

You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.

P = 8/x + 2x

dP/dx = -8/x² + 2 = 0

8/x² = 2

x² = 8/2 = 4

x = ± √4 = ± 2

You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.

We have

d²P/dx² = 16/x³

When x = -2, the second derivative is negative, which means there's a relative maximum here.

When x = 2, the second derivative is positive, which means there's a relative minimum here.

So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.

7 0

3 years ago

Factor and find all the zeros of 2x^3+3x^2-8x+3 if -3 is a zero

katen-ka-za [31]

Using synthetic division, you can find the quadratic factor to be
.. 2x^2 -3x +1
That, in turn, factors as
.. (2x -1)(x -1)
So the complete factorization is
.. (2x -1)(x -1)(x +3)

and the zeros are confirmed by a graphing calculator to be
.. x = 1/2, 1, -3

5 0

3 years ago

A chemist is conducting an experiment which involves a certain chemical reaction. He begins the experiment with 666 milliliters

Ket [755]

Answer:

8 Minutes

Step-by-step explanation:

since we are trying to find how many minutes have passed we first need to find how much substance was used during the time. we can do that by subtracting the leftover substance from the amount we started with.

666-562 = 104

Now that we know how much substance was used we can then use our conversion rate (13 per minute) and find how many minutes have passed by dividing.

104 / 13 = 8

4 0

3 years ago

Find the location of A' given that A is (7, 1).

SSSSS [86.1K]

Answer:

We conclude that the location of A' is: A'(6, 1)

Step-by-step explanation:

Given

A(7, 1)

To determine:

The location of A'

Translation Rule:

As we have to translate 1 unit left, meaning we need to subtract 1 unit from the x-coordinate of point A(7, 1) to determine the location of A'.

In other words, the translation rule is:

A(x, y) → A'(x-1, y)

A(7, 1)

A(7, 1) → A'(7-1, 1) = A'(6, 1)

Therefore, we conclude that the location of A' is: A'(6, 1)

8 0

3 years ago

Find the sum or difference (10p - 4q^2 - q) - (q^2 - 7p + 9p^2)

marin [14]

Answer:

C) -9p^2 - 5q^2 + 17p - q

Step-by-step explanation:

(10p - 4q^2 - q) - (q^2 - 7p + 9p^2)

10p - 4q^2 - q - q^2 + 7p - 9p^2

10p + 7p - 4q^2 - q^2 -9p^2 - q

17p -5q^2 -9p^2 - q

-9p^2 - 5q^2 + 17p - q

4 0

3 years ago