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Diano4ka-milaya [45]
2 years ago
10

Convert the fraction 1/(x+1) to a denominator of x*3 + 1

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
7 0

Answer:

Step-by-step explanation:

Multiply and divide by    (x^{2} - x + 1)

the fraction becomes

\frac{x^{2} - x + 1 }{(x+1)(x^{2} -x +1)}

\frac{x^{2} -x +1}{x^{3}  +1}

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Which graph best represents the solution to 1/2x - 2 = 3
inysia [295]

Answer:

The one showing only the point (10, 3)

Or the linear plot with the point +10 highlighted.

Step-by-step explanation:

4 0
2 years ago
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
Find the exponential function that passes through the points (1, 3) and (2, 9). A) y = 12x B) y = 9x C) y = 6x D) y = 3x
Dmitriy789 [7]

Answer:

D

Step-by-step explanation:

An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.

3^1 = 3

3^2 = 9

This means that the function is y = 3^x.

7 0
3 years ago
Read 2 more answers
Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
ohaa [14]

Answer:

y=-1/3x+6 .Hope this helps

5 0
3 years ago
Read 2 more answers
Max's grade on the first math exam was a 94. His grade on his seond math exam was an 89. What was the percent of change in Max's
Tom [10]

We are given that

Max's grade on the first math exam was a 94

so, first exam grade =94

His grade on his seond math exam was an 89

so, second exam grade =89

change in grade=(first exam grade)-(second exam grade)

change in grade=94-89

change in grade=5

Percentage = ( change in grade)/( first exam grade) *100

so, percentage is

=\frac{5}{94}\times 100

so,

the percent of change in Max's grade to the nearest whole percentage was 5%..........Answer



5 0
3 years ago
Read 2 more answers
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