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frosja888 [35]
2 years ago
15

How to find the domain and range of a function

Mathematics
1 answer:
Rasek [7]2 years ago
3 0

Answer:

The domain of a function is the complete set of possible values of the independent variable. The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

Step-by-step explanation:

When finding the domain, remember:

The denominator (bottom) of a fraction cannot be zero

The number under a square root sign must be positive in this section

The range is the resulting y-values we get after substituting all the possible x-values.

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3 years ago
7<br> Solve the equation x^2 - 8x + 15 = 0.
Oksanka [162]

Answer:

x=5   x=3

Step-by-step explanation:

x^2 - 8x + 15 = 0

Factor

What 2 numbers multiply to 15 and add to -8

-5*-3 = 15

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Using the zero product property

x-5 =0    x-3 =0

x=5   x=3

3 0
3 years ago
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4. Stephanie breaks on average 1.5 pencils every school day. How many pencils can she expect to break in a week (5 days)?
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Answer:

7.5 pencils broken in a week (5 days).

Step-by-step explanation:

1.5 pencils broken a day

Now we just multiple this by 5 for each of the school day's.

1.5 pencils * 5 days = 7.5 pencils broken in a week.

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7 0
2 years ago
Which of the following inequalities matches the graph? ​
Mamont248 [21]

Answer:

Step-by-step explanation:

y ≤ 5x - 1

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8 0
2 years ago
A rectangular banner has a length that is two feet shorter than twice its height, ℎ. If the expression ℎ(2ℎ−2) represents the ar
densk [106]

Answer:

h = 6

Step-by-step explanation:

Given he area of the banner expressed as;

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A is the area = 60

Substitute

60 =  ℎ(2ℎ−2)

60 = 2h² - 2h

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Factorize;

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Since the height cannot be negative;

h = 6

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3 0
3 years ago
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