Can the graph of a function be a horizontal line? A vertical line? Explain.

Answers

Answer 1

Answer: It can be a function if it's horizontal because it's only touching each point once, it can't be a function for a vertical line because it's straight up and down and it'll hit every point

Answer 2

Answer:

The graph of a function can be a horizontal line because the x-value at each point on the line is unique, and a horizontal line passes the vertical line test. The graph of a function cannot be a vertical line because the x-value remains the same at all points, and a vertical line fails the vertical line test.

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Which of the following tables represents a proportional relationship?A. x 8 16 24 32
y 24 48 72 96

B. x 8 9 10 11
y 24 48 72 96

C. x 32 33 34 35
y 96 72 48 24

D. x 32 36 40 44
y 96 112 128 144

Answers

The solution is Option A.

x = { 8 , 16 , 24 , 32 }

y = { 24 , 48 , 72 , 96 }

The table shows a proportional relationship as y = 3x

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the values in the set x be Set A = { 8 , 16 , 24 , 32 }

Let the values in the set y be Set B = { 24 , 48 , 72 , 96 }

Now , the relationship between the first element of set A and the first element of set B is y = ab

where a is the constant of proportionality

Now , substituting the values of x and y , we get

24 = 8a

Divide by 8 on both sides of the equation , we get

a = 3

Therefore , the proportional relationship between x and y is y = 3x

24 = 3 x 8

48 = 3 x 16

72 = 3 x 24

96 = 3 x 32

Hence , The table shows a proportional relationship as y = 3x

To learn more about proportion click :

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the answer is A because you cross multiply

Numbers like 7.478478... and 2.3565656... are rational or irrational. Give reason .

Answers

These numbers are irrational because they cannot be written in the form: $(x)/(y)$ .

Only rational numbers can be written in the ratio form.

What is the difference 4y/xy - 2x/xy^3

Answers

$(4y)/(xy)-(2x)/(xy^3)=(4)/(x)-(2)/(y^3)\n\n\n(4y)/(xy)-(2x)/(xy^3)=(4y^3)/(xy^3)-(2x)/(xy^3)=(4y^3-2x)/(xy^3)$

Hi Kally

Here is what I was able to come up!

4/x-2/x^2y^3

Double check it ok...

How to solve 2^(log(2)3+ log(2)5

Answers

$2^(log_23+log_25)=2^(log_2(3\cdot5))=2^(log_215)=15\n\n---------------------------\n\nfor\ a,b,c\in\mathbb{R^+}\n\nlog_ab+log_ac=log_a(b\cdot c)\n\na^(log_ab)=b$

$2^(\log_23+ \log_25 )=\n 2^(\log_215)=\n 15$

The Amazing Art Museum has 50 exhibits. On Wednesday, 22% of them were closed for cleaning. How many exhibits were closed on Wednesday?