MATHEMATICS HIGH SCHOOL

Find three rational numbers equivalent to each of the following rational numbers. (i)−2/5 (ii)3/7

Answers

Answer 1

Answer:

Step-by-step explanation:

(i)

-2/5 = -4/10 = -6/15 = -8/20

(ii)

3/7 = 6/14 = 9/21 = 12/28

we simply multiply top and bottom (numerator and denominator) by the same number.

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in 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000. find the avarage rate of change in the number of acres in a region used to grow nuts from 2004 to 2011

Answers

Consider the (x, y) coordinates to be: (2004, 510000) and (2011, 830000).

Average rate of change is another name for slope, So, use the slope formula: $m = (y2 - y1)/(x2 - x1)$

$m = (830,000 - 510,000)/(2011 - 2004)$

$m = (320,000)/(7)$

Answer: 320,000 acres every 7 years

Answer: 45714 per year.

Step-by-step explanation:

Given : In 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000.

Change in acres of farmland from 2004 to 2011 = 830000-510000=320,000

Change in year = 2011-2004=7

The average rate of change is given by :-

$\frac{\text{Change in acres of farmland}}{\text{Change in year}}\n\n=(320000)/(7)=45714.2857143\approx45714 \text{[Rounded to the nearest integer.]}$

Hence, the average rate of change in the number of acres in a region used to grow nuts from 2004 to 2011 is 45714 per year.

The solution of an equation with two variables X and y is

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Answer:

The solution of an equation with two variables (x and y) is an ordered pair (x, y).

Step-by-step explanation:

Does anyone know how to to explain slope in a easy way

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When you are given two points of a line, you can find the slope of the line.

Let's say that the two points we are given is $\sf(x_1,y_1) ~and ~(x_2,y_2)$ , then the slope is:

$\bf{Slope = (y_2-y_1)/(x_2-x_1)$

Another thing to keep in mind:

When you have 0 in the numerator, and a number in the denominator, that means that the slope is 0.
When you have 0 in the denominator, and a number in the numerator, that means that there is no slope, or that the slope is undefined.

Endpoints of major axis at (0,6) and (0,-6) endpoints of minor axis at (-3,0) and (3,0)

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we can see that the center is (0,0)

and from commments we know tat it is ellipse

since major axis is y direction ( and center (0,0)), it is a vertical ellipse
in form
$(x^(2))/(b^(2)) + (y^(2))/(a^(2)) =1$

where a is the distance from the center to major axis end
b is distance of minor axis
and a>b always for ellipse

from (0,0) to (0,6) is 6 units, major axis
from (0,0) to (3,0) is 3 units, minor axis

$(x^(2))/(3^(2)) + (y^(2))/(6^(2)) =1$

Please help! Will mark brainliest!

Answers

Answer:

5/2

Step-by-step explanation:

Move the 5^-3 to the denominator and add the exponents of like coefficents

Simplify 10,000^3/4 using a calculator.

Answers

The answer I get based off of the question is 1000.

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If g(x) = x2 − 4, find g(5).

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