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siniylev [52]
3 years ago
13

Point P is plotted on the number line. Point Q is the opposite of point P. Determine the location of point Q on the number line.

Explain how you determined the location of point Q on the number line.

Mathematics
1 answer:
Art [367]3 years ago
7 0

Answer:

b jdjsnsbsjajiasejsiwosjbejdbd

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give the answers to the remaining boxes left blank, you can give the answers all in one sentence starting from the first blank b
Thepotemich [5.8K]

The domain of the functions are:

  • The domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2
  • The domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10
  • The domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5
  • The domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10

<h3>What are the domains of a function?</h3>

The domain of a function is the set of input values the function can take i.e. the set of values the independent variable can assume?

<h3>How to determine the domain of the functions?</h3>

<u>Function 1</u>

The function is given as:

f(x) = √4x + 6

Set the radicand greater than 0

4x + 6 > 0

Subtract 6 from both sides

4x > -6

Divide by 4

x > -3/2

Express as interval notation

[-3/2, ∞)

Hence, the domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2

<u>Function 2</u>

The function is given as:

g(x) = -4√-20x - 6

Set the radicand greater than 0

-20x - 6 > 0

Add 6 to both sides

-20x > 6

Divide by -20

x < -6/20

Simplify

x < -3/10

Express as interval notation

(-∞, -3/10]

Hence, the domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10

<u>Function 3</u>

The function is given as:

f(x) = 15 + √5x - 16

Set the radicand greater than 0

5x - 16 > 0

Add 16 to both sides

5x > 16

Divide by 5

x > 16/5

Express as interval notation

[16/5, ∞)

Hence, the domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5

<u>Function 4</u>

The function is given as:

p(x) = √20x + 6

Set the radicand greater than 0

20x + 6 > 0

Subtract 6 from both sides

20x > -6

Divide by 20

x > -6/20

Simplify

x > -3/10

Express as interval notation

(-3/10, ∞]

Hence, the domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10

Read more about domain at:

brainly.com/question/10197594

#SPJ1

3 0
1 year ago
I can not figure out how to do this question and I need help please
spayn [35]
\bf \textit{quadratic formula}\\\\&#10;&#10;\begin{array}{lcclll}&#10;1x^2&-6x&+12&=0\\&#10;\uparrow &\uparrow &\uparrow \\&#10;a&b&c&#10;\end{array}&#10;\qquad \qquad &#10;x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}
6 0
3 years ago
Someone help me out my math grads are bad
agasfer [191]

Answer:

15m^2

Step-by-step explanation:

2m*3m = 6m^2

3m*3m = 9m^2

Answer: 6m^2 + 9m^2 = 15m^2

<em>Feel free to mark as brainliest :D</em>

7 0
3 years ago
Triangle DEF is reflected over the y-axis, and then translated
nika2105 [10]

Answer:c

Step-by-step explanation:

5 0
3 years ago
Andres bought a pair of shoes for $80 and 1 shirt for $20. The sales tax is 5%. How much did Andres pay for all the items includ
Savatey [412]

Answer: $21

HOPE THIS HELPS

CAN U PLEASE GIVE ME BRAINLIEST

6 0
3 years ago
Read 2 more answers
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