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3 years ago

Does this graph show a function explain how you know

Mathematics

2 answers:

Wewaii [24]3 years ago

8 0

C. No, the graph fails the vertical line test. I believe that is the answer.

fredd [130]3 years ago

6 0

Answer:

Option (C) is correct.

Step-by-step explanation:

A function f : A -> B means every element of A is mapped to a unique element of B, where A and B are non-empty sets.

Now, to check whether a graph is a function or not, there is a test called 'Vertical Line Test'.

In the test, we draw a vertical line passing through the graph. Then:

1. If the line cuts exactly at one point of the graph, then the given graph is a function.

2. If the graph cuts at more than one points, then the graph is not a function as it does not satisfy the definition a function.

Now, in the given graph, if you draw a vertical line on the right side of origin, it will cut at more than one point.

Hence, the graph fails the vertical line test and it is not a function.

So, option (C) is correct.

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What is 21/56 simplified

lozanna [386]

$21=3\cdot7\\56=8\cdot7\\\\\frac{21}{56}=\frac{3\cdot\not7^1}{8\cdot\not7_1}=\boxed{\frac{3}{8}}$

3 0

4 years ago

Read 2 more answers

The area of a rectangle is 980 in squared. the ratio of the length to the width is 5 : 4. find the length and the width.

ella [17]

Answer: The length of the rectangle is 35 in.

The width of the rectangle is 28 in.
_________________________________________________________
Explanation:
_________________________________________________________
The formula for the area, "A", of a rectangle:

Area (A) = length (L) * width (w) ;

that is: " A = L * w " ;

A = 980 in² (given);

ratio of the length to the width is: " 5 : 4 " (given);

→ Find the length (L) and the width (w).
_________________________________________________________

→ 980 in² = (5x) * (4x) ;

in which: " 980 in² " is the area of the triangle;

" 5x" = the length (L) of the rectangle, for which we shall solve;

" 4x" = the width (w) of the rectangle, for which we shall solve.
_______________________________________________________
If we find solve for "x" ; we can solve for "5x" and "4x" (the "length" and the "width", respectively); by plugging in the solved value for "x" ;
_______________________________________________________

→ 980 in² = (5x) * (4x) ;

↔ (5x) * (4x) = 980 in² ;

→ (5x) * (4x) = (5) * (4) * (x) * (x) = 20 * x² = 20x² ;

→ 20x² = 980 ;

Divide each side by "10" ; by canceling out a "0" on each side of the equation:

→ 2x² = 98 ;

Now, divide each side of the equation by "2" ;

→ 2x² / 2 = 98 / 2 ;

to get:

→ x² = 49 ;

Now, take the "positive square root" of each side of the equation; (since a "length or width" cannot be a "negative value") ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ ⁺√(x²) = √49 ;

to get:

→ x = 7 ;
______________________________________________________
Now, we can solve for the "length" and the "width" ;

→ The length is: "5x" ;

5x = 5(7) = " 35 in " ;
______________________________________________________
→ The width is: "4x" ;

4x = 4(7) = "28 in."
______________________________________________________
Let us check our answer:

→ A = L * w ;

→ 980 in² = ? 35 in. * 28 in. ?? ;

Using a calculator: "35 * 28 = 980" . Yes! ;
____________________________________________________
{ Also note: " in * in = in² " ? Yes! } .
____________________________________________________

3 0

3 years ago

How much would $500 invested at 7% interest compounded continuously be worth after 4 years? Round your answer to the nearest cen

Greeley [361]

Hi I hope this helps;

3 0

3 years ago

There were 450 students enrolled in a middle school at the beginning of the school year. The number of students enrolled in the

taurus [48]

Answer:

405

Step-by-step explanation:

10% of 450 is 45 and 450-45=405 students

8 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. one person working alone will take 30 days to paint an apartment. if d repre

Oksanka [162]

It took 3 days to complete a work by 10 people.

<h3>What is Efficiency?</h3>

The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.

Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.

The number of days to complete the work = n days

Number of person to complete the work = p.

Now, according to question

Number of days to complete the work by 10 people = 30 / 10

= 3 days.

Thus, it took 3 days to complete a work by 10 people.

Learn more about Efficiency from:

brainly.com/question/13828557

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5 0

2 years ago