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3 years ago

What are the domain and range of the absolute value parent function?

Mathematics

1 answer:

dimaraw [331]3 years ago

6 0

Answer:

Step-by-step explanation:

The graph of the absolute value function looks like a V that opens UP and has its vertex at the origin, (0, 0). There are no restrictions on the input, x, so the domain is (-infinity, infinity).

On the other hand, this function has no values less than zero. Its range is

[0, infinity).

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There are 6 animals in the pen some are quails and some are goats if there are 20 legs in all how many quails and how many goats

yawa3891 [41]

Answer:

4 goats

Step-by-step explanation:

Let us represent

Number of quails = x

Number of goats = y

Quails have 2 legs

Goats have 4 legs

Hence:

There are 6 animals in the pen some are quails and some are goats

x + y = 6...... Equation 1

x = 6 - y

if there are 20 legs in all how many quails

2x + 4y = 20..... Equation 2

We substitute 6 - y for x in Equation 2

2(6 - y) + 4y = 20

12 - 2y + 4y = 20

Collect like terms

- 2y + 4y = 20 - 12

2y = 8

y = 8/2

y = 4 goats

The number of goats there are 4 goats

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=2x%20%2B%20%5Cfrac%7B5%7D%7B8%7D%20%3D%203x%20-%20%5Cfrac%7B5%7D%7B8%7D" id="TexFormula1" titl

Whitepunk [10]

Answer:

$x=\frac{5}{4}$

Step-by-step explanation:

$2x+\frac{5}{8}=3x-\frac{5}{8}$

Subtract 5/8 from both sides:-

$2x+\frac{5}{8}-\frac{5}{8}=3x-\frac{5}{8}-\frac{5}{8}$

$2x+\frac{5}{8}-\frac{5}{8}$

Add like terms:-

$\frac{5}{8}-\frac{5}{8}=0$

$=2x$

$3x-\frac{5}{8}-\frac{5}{8}$

Rule:- $\frac{a}{c} \pm \frac{b}{c}=\frac{a \pm b}{c}$

$\frac{-5-5}{8}$

Subtract, $-5-5=-10$

$=\frac{-10}{8}$

Cancel common factor: 2

$=-\frac{5}{4}$

$=3x-\frac{5}{4}$

---------------

$2x=3x-\frac{5}{4}$

Now, subtract 3x from both sides:-

$2x-3x=3x-\frac{5}{4}-3x$

$-x=-\frac{5}{4}$

Divide both sides by -1:-

$\frac{-x}{-1}=\frac{-\frac{5}{4}}{-1}$

$x=\frac{5}{4}$

<u>OAmalOHopeO</u>

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Tyler walked 6 miles in 3 hours. What was his walking rate in miles per hour

BARSIC [14]

Answer:

This comes out to 2 mph.

Step-by-step explanation:

Reduce the following fraction:

6 miles

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3 hours

This comes out to 2 mph.

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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