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3 years ago

Find n(A) of the following set A={101,102,103,104,...,121}

1 answer:

4 0

N(A) = 121-101+1 = 21

I used the formula:
[(the last - the first) divided by ratio ]+1

The answer to your question is n(A) = 21.
I hope that this is the answer that you were looking for and it has helped you.

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Find the ratios of the corresponding sides 10/2 and 6/3

ololo11 [35]

Answer:

Step-by-step explanation:

10:2 = 5:1

6:3 = 2:1

4 0

3 years ago

Whats's the difference between -6 and 6 on the number line?

guajiro [1.7K]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The graph of the function f(x) = (x – 4)(x + 1) is shown below. Which statement about the function is true? The function is incr

Akimi4 [234]

Given the graph of the function f(x) = (x - 4)(x + 1).

From the graph, it can be seen that the graph of the function describe a parabola facing up with the vertex at point (1.5, -6.25).
The x-intercepts of the graph are at points (-1, 0) and (4, 0) while the y-intercept is at point (0, -4)

The vertex of a parabola is the point in the parabola where the graph of the function stops decreasing and starts increasing, or vice-versa.

Thus, the function stops decreasing at point (1.5, -6.25) and then starts increasing, this means that for values of x < 1.5 the function is decreasing and since 0 < 1.5, hence, the function is decreasing for the values of x < 0. Hence, the statement that "the function is increasing for all real values of x where x < 0" is not true.

Similally, Given that the function stops decreasing at point (1.5, -6.5), this means that for values of x < 1.5 the function is decreasing and since -1 < 1.5, hence, the function is decreasing for the values of x < -1.
Thus, the statement that the function is increasing for all real values of x where x < –1 and where x > 4 is not true.

With the explanations given above, it can also be seen that the statement that "the function is decreasing for all real values of x where –1 < x < 4" is also not true.

8 0

3 years ago

A . ( 12 ) x ( − 16 ) + 16 b . ( − 34 ) ÷ ( − 23 ) + 14 c . ( − 45 ) ÷ ( − 15 ) + 13 d . ( 23 ) - ( − 16 ) 13 e . ( − 42 ) + ( -

MA_775_DIABLO [31]

<h2>Question</h2>

Simplify the following

A . ( 12 ) x ( − 16 ) + 16

b . ( − 34 ) ÷ ( − 23 ) + 14

c . ( − 45 ) ÷ ( − 15 ) + 13

d . ( 23 ) - ( − 16 ) - 13

e . ( − 42 ) + ( - 16 ) ÷ 13

<h2>Answer:</h2>

(A) -176

(B) $\frac{402}{23}$

(D) 26

(E) $\frac{-562}{13}$

<h2>Step-by-step explanation:</h2>

(A)

( 12 ) x ( − 16 ) + 16

Following the rules of BODMAS

=> Solve the brackets first

12 x -16 + 16

=> Next, solve the multiplication(x)

-192 + 16

=> Solve the addition and subtraction

-176

(B)

( − 34 ) ÷ ( − 23 ) + 14

Following the rules of BODMAS

=> Solve the brackets first

-34 ÷ -23 + 14

=> Next, solve the division(÷)

$\frac{-34}{-23}$ + 16

The negative signs can cancel out.

$\frac{34}{23}$ + 16

=> Solve the fraction

$\frac{34}{23}$ + $\frac{16}{1}$

$\frac{34 + 368}{23}$

$\frac{402}{23}$

(C)

( − 45 ) ÷ ( − 15 ) + 13

Following the rules of BODMAS

=> Solve the brackets first

-45 ÷ -15 + 13

=> Next, solve the division(÷)

$\frac{-45}{-15}$ + 13

The negative signs can cancel out.

$\frac{45}{15}$ + 13

3 + 13

=> Solve the addition

3 + 13 = 16

(D)

( 23 ) - ( − 16 ) - 13

Following the rules of BODMAS

=> Solve the brackets first

23 - -16 - 13

=> Next, - - will give +

23 + 16 - 13

=> Next solve the addition

39 - 13

=> Next solve the subtraction

39 -13 = 26

(E)

( − 42 ) + ( - 16 ) ÷ 13

Following the rules of BODMAS

=> Solve the brackets first

-42 + -16 ÷ 13

=> Next, + - will give -

-42 - 16 ÷ 13

=> Next solve the division

-42 - 16 ÷ 13

-42 - $\frac{16}{13}$

=> Next solve the fraction

$\frac{-42}{1}$ - $\frac{16}{13}$

$\frac{-546-16}{13}$

$\frac{-562}{13}$

4 0

3 years ago