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3 years ago

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Mathematics

1 answer:

Ymorist [56]3 years ago

3 0

Answer

Step-by-step explanation:

The ratio of pigs to other animals would be 5:20, which is 1:4 simplified.

That means that the amount of pigs is a quarter of other animals.

1+4 = 5

10/5 =2

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Determine whether the table of values below represents a linear function. If it represents a linear function, write the function

Rzqust [24]

Answer:

The equation of a linear function is:

$y = 2x+4$

Step-by-step explanation:

Given the table

x y

-10 -16

-3 -2

1 6

2 8

Determining the slope between the points (-10, -16), (-3, -2)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)$

$m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}$

$m=2$

Determining the slope between the points (-3, -2), (1, 6)

$m=\frac{6-\left(-2\right)}{1-\left(-3\right)}$

$m=2$

Determining the slope between the points (1, 6),(2, 8)

$m=\frac{8-6}{2-1}$

$m = 2$

As the slope between the points is the same. Thus, the table represents the linear function.

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 2 and any point let say (1, 6)

$y - 6 = 2(x-1)$

$y-6 = 2x-2$

$y = 2x-2+6$

$y = 2x+4$

Therefore, the equation of a linear function is:

$y = 2x+4$

5 0

3 years ago

List four real-world objects that rotate.

ASHA 777 [7]

Tire
Microwave dish
The Earth
The Moon
Sports Balls
Gears

8 0

3 years ago

Read 2 more answers

(3x − 4)(2x)2 + 2x − 1).

zzz [600]

(3x−4)(2x)(2)+2x−1

Distribute:

=12x2+−16x+2x+−1

Combine Like Terms:

=12x2+−16x+2x+−1=(12x2)+(−16x+2x)+(−1)=12x2+−14x+−1

Answer:=12x2−14x−1

hope this helps! was there meant to be a parenthesis by the 2 + 2x - 1??

4 0

3 years ago

The set S = {x|-11 < x < 2} is described by which interval notation?

Alla [95]

They are open ended because -11 and 2 are not included in the interval.

<h3>Linear inequality in interval notation</h3>

Linear equations are expression not separated by an equal sign.

Given the inequality S = {x|-11 < x < 2}

This means that the values in the interval is between -11 and 2, the expression in interval notation will be given as;

(-11, 2). Note that they are open ended because -11 and 2 are not included in the interval.

Learn more on interval notation here: brainly.com/question/13160076

#SPJ1

3 0

2 years ago

Solve for xx. Round to the nearest tenth of a degree, if necessary.

Tanya [424]

Answer:

56.6 °

Step-by-step explanation:

For a RIGHT triangle cos (x ) = adjacent leg / hypotenuse

cos (x) = 4.4 / 8

arc cos (4.4/8) = 56.63 ° = ~ 56.6°

8 0

2 years ago