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3 years ago

Use the vertical line test to determine whether the graph shown to the right is the graph of a function

Mathematics

1 answer:

Andreas93 [3]3 years ago

3 0

That's not a function.

Since a vertical line hits the graph more than once, if fails the test. (See graph below)

If it is a function, any vertical line you draw can only hit the graph once.

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A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.

jekas [21]

Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

$a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0$

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

7 0

3 years ago

Read 2 more answers

8.07 X 5.3 help me please

son4ous [18]

Answer:

42.771

Step-by-step explanation:

8.07

x 5.3

------

42.771

7 0

3 years ago

2(n+7)=14+2n and 1-x=7x-(8x-6)

myrzilka [38]

2n+14=14+2n so this one as an infinite number of solutions. The second one 1-x=-x-6 so you add x on both sides which results in it having no solutions.

3 0

3 years ago

A pharmaceutical scientist analyzes pain data of various medications.

dangina [55]

Answer:

table b'

Step-by-step explanation:

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3 years ago

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperso

serg [7]

Using variable concepts, of dependent and independent variables, it is found that the dependent variable is the amount of sales dollars earned.

<h3>What is the relation between a function and the dependent and independent variables?</h3>

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, <u>x is the independent variable and y is the dependent variable</u>.

That is, the input of the function is the independent variable and the output is the dependent variable.

In this problem, the manager believes that the amount of sales dollars earned is a function of the number of contacts that the salesperson makes, hence:

The number of contacts is the independent variable.

The amount of sales dollars earned is the dependent variable.

More can be learned about dependent and independent variables at brainly.com/question/1429012

#SPJ1

6 0

2 years ago