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2 years ago

Determine the domain and range of the given function.

Mathematics

1 answer:

Illusion [34]2 years ago

5 0

The domain can be any value between (-∞,∞) , all real numbers , The range is all real numbers greater than or equal to -2

<h3>What is a function ?</h3>

A function is a mathematical statement that relates independent variable and dependent variable , It has a defined range and domain.

Domain is the set of all the input values

Range is the set of all the assumed output values

To determine the domain and range of the given function

The given function is a vertical parabola ,

The vertex is at (-2,-2)

The domain can be any value between (-∞,∞) , all real numbers.

The range is the interval------> [-2,∞)

The range is all real numbers greater than or equal to -2

To know more about Function

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What is the solution to this equation x -9=5

lukranit [14]

Answer:

x = 14

Step-by-step explanation:

x- 9 = 5

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Add 9 to both sides of the equation:

x - 9 (+9) = 5 (+9)

x = 5 + 9

x = 14

x = 14 is your answer.

7 0

4 years ago

Please help! :))

denis23 [38]

Answer:

Check below

Step-by-step explanation:

Hi,

We're dealing with linear functions. $f(x)=mx+b$

We have here the first function.

$g(x)=3x$

That's a linear function, with slope, and no linear coefficient since

But on the other hand, the functions below, they all describe parallel lines, since their slope has the same value. I've changed the letters to make it easier the comprehension.

Even though each one has the same slope value, they have different non zero linear coefficients, {-6,-18,6,18}. Unlike, the first one

$h(x)=3(9x-2) \rightarrow h(x)= 27x-6\\i(x)=9(3x-2)\rightarrow i(x)=27x-18\\j(x)=3(9x+2)\rightarrow j(x)=27x+6 \\k(x)=9(3x+2)\rightarrow k(x)=27x+18\\$

A possible solution would be adjusting any of these, whose operation would result in g(x)=3x, but

$y=9(\frac{3x}{9}-2)+18 =3x$

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3 years ago

A volunteer has 12 pounds of birdseed to put in the bird feeders in all of the city parks. There are 13/4 cups of birdseed in a

kozerog [31]

Answer:

$\large \boxed{28}$

Step-by-step explanation:

1. Calculate the number of cups

$\text{Cups} = \text{12 lb}\times\dfrac{1\frac{3}{4} \text{ cups}}{\text{1 lb}} =12\times\dfrac{\text{7 cups}}{4} = 3\times7\text{ cups}= \text{21 cups}$

2. Calculate the number of bird feeders

$\text{ Feeders}= \text{21 cups} \times \dfrac{\text{1 feeder}}{\frac{3}{4}\text{ cup}}=\text{21 cups} \times \dfrac{\text{4 feeders}}{\text{3 cups}} = 7 \times \text{ 4 feeders}\\\\= \textbf{28 feeders}\\\text{The volunteer can fill $\large \boxed{\textbf{28 feeders}}$}$

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3 years ago

A circle with circumference 20 has an arc with 72 degree central angle what is length of the arc

Debora [2.8K]

Answer:

Step-by-step explanation:

<em>Look at the picture.</em>

<em />

<em>At the beginning we have to calculate what part of the angle 360° is the given angle 75°.</em>

<em /> $\dfrac{75}{360}=75:360=0.2$ <em />

<em>The same part of the circumference of the circle is the arc defined by this central angle.</em>

The circumference <em>C = 20</em>.

Therefore

$x=0.2\cdot20=4$

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3 years ago

A pitcher of water contains 1/4 of water. The water is poured equally into 5 glasses. How many liters of water are in each glass

IRINA_888 [86]

Hey there!

To solve this, divide the numbers 1/4 and 5 . . .

1/4 = 1/4

5 = 5/1

1 x 1 = 1

4 x 5 = 20

= 1/20

1/20 is already in it's simplest form, so it doesn't need to be simplified.

There are 1/20 liters of water in each glass.

Hope this helps you.
Have a great day!

7 0

3 years ago

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