4 years ago

Is 8/10 equivalent to 4/5?

Mathematics

1 answer:

stira [4]4 years ago

5 0

Yes, 8/10 is equal to 4/5.

The numerator and the denominator is reducable by 2.

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Find all critical numbers of the function <img src="https://tex.z-dn.net/?f=g%28x%29%3Dx%5E%7B%5Cfrac%7B3%7D%7B4%7D%20%7D-2x%5E%

postnew [5]

Differentiate g using the power rule:

$g'(x) = \dfrac34 x^{\frac34-1} - 2\cdot\dfrac14 x^{\frac14-1}$

$g'(x) = \dfrac34 x^{-\frac14} - \dfrac12 x^{-\frac34}$

$g'(x) = \dfrac14 x^{-\frac34} \left(3 x^{\frac12} - 2\right)$

$g'(x) = \dfrac{3\sqrt x - 2}{4 x^{\frac34}}$

The critical points of g occur where g' is zero or undefined.

We have

$g'(x) = 0 \implies 3\sqrt x - 2 = 0 \implies \sqrt x = \dfrac23 \implies \boxed{x = \dfrac49}$

and the derivative is undefined for

$\dfrac1{g'(x)} = 0 \implies 4x^{\frac34} = 0 \implies \boxed{x=0}$

8 0

3 years ago

A librarian receives two boxes of books for the library. The first box has 136 books.

Allushta [10]

Answer:

214 books

Step-by-step explanation:

136-58= 78 books in the second box

so to find the total you add the amount of books in the first box with the amount of books in the second to = 214

7 0

3 years ago

True or false of the matrix question?

matrenka [14]

False of the matrix question

7 0

3 years ago

Read 2 more answers

Is y=9x proportinal?

igor_vitrenko [27]

Answer:

yeah it is

y is directly proportional to x

proportionality constant is 9

7 0

3 years ago

5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?

MaRussiya [10]

Answer:

x > -2.5

Step-by-step explanation:

1) 5.1 (3 + 2.2x) > -14.25 - 6 (1.7x + 4)

2) 15.3 + 11.22x > -14.25 - 10.2x - 24

3) 15.3 + 11.22x > -38.25 - 10.2x

4) 11.22x + 10.2x > -38.25 - 15.3

5) 21.42x > -53.55

6) x > -2.5

Alternate forms

x > -5/2x or x > -2 1/2

5 0

3 years ago