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Anna007 [38]
3 years ago
5

X=|y| what is the domain and range ?

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

Domain: x ≥ 0

Range: All real numbers

Step-by-step explanation:

This is an absolute value function which creates a V for its graph. Since the absolute value is on y, the function is rotated to the right or sideways.

This means only the x values of 0 and greater are used in the function. Since the domain is the set of all x values then it is x≥0.

This also means that all y values are used on the y-axis. There is no restriction on the y values. Since the range is the set of all y values then it is all real numbers.

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The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.​
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<u>Number of terms = 48</u>

<u>common difference = 1.5</u>

This question involves the concept of Arithmetic Progression.

  • The formula for sum of an arithmetic progression series with first and last term given is;

S_{n} = \frac{n}{2}(a + l)

where;

a = first term

l = last term

n = number of terms

  • From the given sequence, we see that;

first term; a = 4

last term; l = 76

Sum of A.P; S_{n} = 1920

  • Plugging in relevant values into the sum of an AP formula, we have;

1920 = \frac{n}{2}(4 + 76)

simplifying this gives;

1920 = 40n

n = 1920/40

n = 48

  • Formula for nth term of an AP is;

t_{n} = a_{1} + (n - 1)d

where;

a_{1} is first term

d is common difference

n is number of term

t_{n} is the nth term in question

the 48th term is 76

Thus;

76 = 4 + (48 - 1)d

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d = 72/47

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Thus;

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Read more at; brainly.com/question/16935540

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