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3 years ago

Use the graph to determine the domain and range of the relation, and whether the relation is a function.

Mathematics

2 answers:

Art [367]3 years ago

7 0

The correct answer is A

enot [183]3 years ago

5 0

Answer: The correct option is

(c) Domain: {x | -8 ≤ x ≤ 8}; Range: all real numbers; No. it is not a function.

Step-by-step explanation: We are given to use the graph to determine the domain and range of the relation, and to check whether the relation is a function or not.

<u><em>Function:</em></u> A relation y = f(x) is said to be a function if each value of the independent variable x results in exactly one value of the dependent variable y.

From the graph, we notice that

for x = 4, there are two values of y, i.e., y = 4 and 10. So, (4, 2) and (4, 10) lies on the graph of the given relation.

Hence, the given relation is not a function.

<u><em>Domain and range:</em></u> The set of all values of the independent variable x is called the domain and the set of corresponding values of the dependent variable is called the range.

From the graph, we see that the values of independent variable x varies from -8 to 8 and the values of dependent variable y varies from -∞ to ∞.

Therefore,

Domain : {x | -8 ≤ x ≤ 8} and Range: all real numbers.

Thus, Domain: {x | -8 ≤ x ≤ 8}; Range: all real numbers; No. it is not a function.

Option (C) is CORRECT.

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You move left 6 units. You end at (-3, 3). Where did you start?

Komok [63]

Answer:

-3,-3

Step-by-step explanation:

(-3,3) - (0,6)

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3 years ago

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Solve for the missing sides 30-60-90 triangle show work please and thank you

Alex_Xolod [135]

Answer:

$x=8\sqrt{3}$

$y=16$

$x=3$

$y=3\sqrt{3}$

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

$a-a\sqrt{3}-2a$

Where (a) is the side opposite the (30) degree angle, ( $a\sqrt{3}$ ) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ( $\sqrt{3}$ ). Thus the following statement can be made,

$x=8\sqrt{3}$

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

$y=16$

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

$y=3\sqrt{3}$

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

$x=3$

6 0

3 years ago

Need help with this quick.

Orlov [11]

A trapezium is a quadrilateral. The option that is true for the trapezium is A, D, and E.

<h3>What is Trapezium?</h3>

A trapezium is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The given trapezium is an isoceles trapezium. Therefore, the properties of the trapezium that are true for KLMJ are:

KL is parallel to JM
∠J is supplementary ∠K
∠J is congruent to ∠M (Valid only for isoceles trapezium).

Hence, the option that is true for the trapezium is A, D, and E.

Learn more about Trapezium:

brainly.com/question/22607187

#SPJ1

4 0

2 years ago

Please help me with this question it contains angles and measurements

cricket20 [7]

Answer:

m∠ONP = 43*

m∠LNO = 137*

m∠MNP = 137*

Step-by-step explanation:

Each line segment is a straight line meaning they are each worth 180°, so if you take 43° from 180° you're eft with 137° which is what ∠LNO and ∠MNP are equal to. ∠ONP is 43° since it is a vertical angle to ∠MNL which is also 43°.

7 0

3 years ago

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Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- an

ss7ja [257]

Answer:

There are 52 dimes and 18 nickles

Step-by-step explanation:

Lets call x= number of dimes and y= number of nickles

then we have the first equation

(1) x + y = 70

As a nickel is worth 0.05 US$ and a dime is worth 0.10 US$, we have the second equation

(2) 0.10x + 0.05y = 6.10

We then have a linear system of 2 equations and 2 unknowns

(1) x +y = 70

(2) 0.10x + 0.05y = 6.10

In order to solve the system by the elimination method, we have to multiply on of the equations by a suitable number to eliminate one unknown when adding the two equations.

There are several ways of doing this. We could, for example, multiply (1) by -0.05 and then add it to (2)

(1) -0.05x – 0.05y = (-0.05)70

(2) 0.10x + 0.05y = 6.10

That is to say,

(1) -0.05x – 0.05y = -3.5

(2) 0.10x + 0.05y = 6.10

Adding (1) and (2) we get

-0.05x = -2.6 => x = (-2.6)/(-0.05) = 52 => x = 52

So we have 52 dimes.

Substituting this value in equation 1, we obtain

y = 70 - x = 70 – 52 = 18

Then we have 18 nickels

8 0

3 years ago