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4 years ago

What is 5/8 minus 3/10

Mathematics

2 answers:

Dmitry_Shevchenko [17]4 years ago

3 0

Answer:

13/40

Step-by-step explanation:

5/8 - 3/10

get a common denominator of 40

5/8*5/5 - 3/10 *4/4

25/40 - 12/40

13/40

lord [1]4 years ago

3 0

Answer:

13/40

Step-by-step explanation:

We can find the lowest common multiple of 8 and 10, so that the two fractions will have the same denominator.

The LCM of 8 and 10 is 40, so we can rewrite 5/8 as 25/40 by multiplying the numerator and denominator by 5, and rewrite 3/10 as 12/40 by multiplying the numerator and denominator by 4.

This makes the subtraction easier, as we find 25/40 - 12/40.

We get (25-12) / 40, or 13/40.

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The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

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An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x(x + 5)(x - 2)

x(x + 5)(x - 2) = 0

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The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

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2 years ago

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4 years ago

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin

aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the $y = 4x$ and $y = \frac{x^{2} }{4}$ .

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

$4x = \frac{x^{2} }{4} \\ x^{2} = 16x \\ x^{2} - 16x = 0 \\ x(x-16) = 0$ then $x=0$ o $x=16$ . Therefore the integration limits are:

$y = 4(0) = 0$ and $y = 4(16) = 64$

The inverse functions are given by:

$x = 2 \sqrt{y}$ and $x = \frac{y}{4}$ . Then

The volume of the solid of revolution is given by:

$\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}$