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d1i1m1o1n [39]
3 years ago
12

Help me please please please

Mathematics
1 answer:
Nitella [24]3 years ago
4 0

You know a=-5 so you can plug this value of a into your equation,

|4(-5)-2| +(-5) - 5

You would then multiply 4 and -5 together in the absolute value,

|-20 - 2| +(-5) - 5

You would then combine -20 and -2 by adding them together,

|-22| +(-5) - 5

You would then, since -22 is under absolute value bars, make it just 22,

22 +(-5) - 5

You would then add 22 to -5 which would give you 17,

17 - 5

Finally, you would subtract 5 from 17,

12 is your final answer

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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
2 years ago
2) Solve the system of equations:<br><br> y=6x<br><br> 4x+y=7
LenKa [72]

Answer: x= 7/10

Y= 21/5

Step-by-step explanation:

4 0
3 years ago
Denise has it 28 yards of fabric how many ties can can be made from the fabric is each type used is 3/4 yard of fabric
miss Akunina [59]
You have to divide , first you have to turn 28 into a fraction , 28 over one , then you have to flip 3/4 into 4/3 then multiply it



4 0
3 years ago
2. Round 459 to the nearest hundred.<br> O<br> 460<br> 450<br> 500<br> 400
KonstantinChe [14]

Answer:

The answer is 500

Step-by-step explanation:

When you round to the hundred, you look at the 10s place. If the 10s place is 5,6,7,8, or 9, you round the hundred up. In this case, it is 459 so you would round up to 500. Have a nice day!!!

5 0
2 years ago
59 and/or 60. Determine if the triangles are similar. If they are similar, find the scale factor from ABC to JKL.
navik [9.2K]

9514 1404 393

Answer:

  59) not similar

  60)

Step-by-step explanation:

59) The ratios of the side lengths shown cannot be reduced. They are different, so the triangles are not similar.

  7:8:12 ≠ 6:7:11

__

60) The side length ratios both reduce to 8:7:10, so the triangles are similar.

  ∆ABC ~ ∆JKL

The scale factor is LJ/CA = 25/20 = 5/4. (Multiplying ABC by 5/4 will give JKL.)

8 0
3 years ago
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