All categories

3 years ago

How do you do this in simplest form

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

Answer:

3/10

Step-by-step explanation:

The LCD of these two denominators 10 and 4 is 20; 20 is the smallest integer divisible by both 10 and 4.

Rewriting the problem, we get:

16 10 6

---- - ----- = ------ = 3/10

20 20 20

Note that we could write 2/4 as 1/2 or as 5/10. If we write 5/10, then we have:

8/10 - 5/10 = 3/10 (same answer as before)

You might be interested in

How many parallelograms can be made if one angle measures 50 degrees and one side is 10 centimeters

Softa [21]

So we know that in case of a parallelogram the opposite sides and opposite angles are equal
so than given that one angle measure 50 degrees so the opposite angle measure 50 degrees too and so in this way the other two opposite angles measures equal 360 -2*50 =360 -100 = 260 degrees so one to one will be 260/2 = 130 degrees
- in this way bc. given that one side has a length of 10 cm so from this result that the opposite side has 10 cm too
- and from theses above wrote result that one parallelogram can be made with these given dimensions

hope thsi will help you

4 0

3 years ago

consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where

boyakko [2]

Answer:

a) $X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

b) $Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

Step-by-step explanation:

From the question we are told that

The Function

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

Generally the differentiation of function f(x) is mathematically solved as

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

$f(x)=\frac{x^3+x^2+5x+1}{x^2}$

Therefore

$f'(x)=\frac{x^2+10x+3}{x^4}$

Generally critical point is given as

$f'(x)=0$

$\frac{x^2+10x+3}{x^4}=0$

$x=-5 \pm\sqrt{22}$

Generally the maximum and minimum x value for critical point is mathematically solved as

$f'(-5 \pm\sqrt{22})$

Where

Maximum value of x

$f'(-5 +\sqrt{22})$

Minimum value of x

$f'(-5 +\sqrt{22})$

Therefore interval of increase is mathematically given by

$f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})$

$f(x)$

Therefore interval of decrease is mathematically given by

$(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)$

Generally the second differentiation of function f(x) is mathematically solved as

$f''(x)=\frac{2(x^2+15x+6)}{x^5}$

Generally the point of inflection is mathematically solved as

$f''(x)=0$

$x^2+15x+6=0$

Therefore inflection points is given as

$x=\frac{1}{2} (-15 \pm \sqrt{201}$

$f''(x)>0,\frac{1}{2}(-15-\sqrt{201})$

a)Generally the concave upward interval X is mathematically given as

$X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

$f''(x)$

b)Generally the concave downward interval Y is mathematically given as

$Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

5 0

3 years ago

If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the pro

Lunna [17]

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

4 0

3 years ago

Which statements are true? Select all that apply. If a line segment is divided into smaller adjacent segments, the sum of the le

Licemer1 [7]

Answer:

yes

Step-by-step explanation: yes yes yes ye sy ey eys eys yes

4 0

3 years ago

N is a rational number.m is an irrational number.n2 cannot be an irrational number? why or why not

Korolek [52]

If n is rational, it means that

$n\in\mathbb{Q}\Rightarrow n=\frac{p}{q},\quad p\in\mathbb{Z},\quad q\in\mathbb{Z}^*$

Therefore when we do n² we can write it as

$n^2=\frac{p^2}{q^2},\quad p\in\mathbb{Z},\quad q\in\mathbb{Z}^*$

Remember that the product of two integer numbers is also an integer, therefore we can guarantee that

$p^2\in\mathbb{Z}\text{ and }q^2\in\mathbb{Z}^*$

Then we can confirm that n² is the quotient of two integers and the denominator is not zero, therefore, n² is always rational, it cannot be an irrational number

8 0

1 year ago