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2 years ago

State the domain and range of the following function:

Mathematics

1 answer:

mojhsa [17]2 years ago

7 0

Answer:

$Domain = \{-3,0,2,1,6,3\}$

$Range = \{4,6,-2,-3,-7,2\}$

Step-by-step explanation:

Given

$\{(- 3,4), (0,6), (2, - 2), (1, - 3), (6, - 7), (3, 2)\}$

Required

The domain and range

A function is represented as:

$Function = \{(x_1,y_1),(x_2,y_2),....(x_n,y_n)\}$

Where

$x \to$ domain

$y \to$ range

So, we have:

$Domain = \{-3,0,2,1,6,3\}$

$Range = \{4,6,-2,-3,-7,2\}$

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Can someone help with this problem please.

Solnce55 [7]

The area of the shaded triangle formed as the result of the overlap is = 62.35 inches ²

<h3>Calculation of the equilateral triangle</h3>

After folding the rectangle with length of 12 inches and width of 18 inches, an equilateral triangle was formed.

An equilateral triangle is a type of triangle where by all the three sides are equal.

To determine the value of one of the sides, CB or CD is used because the folding didn't affect these sides.

Using the formula for the area of an equilateral triangle,

A = √¾ a²

a= 12 inches

A = √¾ ×12²

A = 62.35 inches ²

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3 0

2 years ago

-6x+4y=10<br> X-5y=-21<br> Please solve !

galina1969 [7]

X-5y=-21
x=-21+5y

-6(-21+5y)+4y=10
126+-30y+4y=10
126+-26y=10
-26y=-116
y=4.4615
x=1.3076

5 0

3 years ago

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30

GarryVolchara [31]

the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

$0.55x$ .

The total number of members not wearing glasses, will be

$x - 0.55 x = 0.45 x$ .

Now, the no. of members not wearing glasses and in 10th grade will be,

$\frac{0.45x\times30}{100} =0.135x$

We know that the probability of an event E, P(E) will be,

$P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}$

So, the probability for no. of members not wearing glasses and in 10th grade will be,

$P(E)=\dfrac{0.135x}{x}$

$P(E)=0.135\\\\P(E)=13.5 \%$

Hence the nearest whole percent of probability is 14%.

For more details on probability follow the link:

brainly.com/question/795909

8 0

2 years ago

The midpoint of the coordinates (3, 15) and (20,8) is -

Nat2105 [25]

Answer:

The midpoint of the given coordinates is $(\frac{23}{2},\frac{23}{2})\ or\ (11.5,11.5)$ .

Step-by-step explanation:

We have given two coordinates (3,15) and (20,8).

Let we have given a line segment PQ whose P coordinate is (3,15) and Q coordinate is (20,8).

We have to find out the mid point M(x,y) of the line segment PQ.

Solution,

By the mid point formula of coordinates, which is;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

On substituting the given values, we get;

$M(x,y)=(\frac{3+20}{2}, \frac{15+8}{2})\\\\M(x,y)=(\frac{23}{2},\frac{23}{2})$

We can also say that $M(x,y)=(11.5,11.5)$

Hence The midpoint of the given coordinates is $(\frac{23}{2},\frac{23}{2})\ or\ (11.5,11.5)$ .

3 0

3 years ago

To cancel a term.its necessary to add the _____to both sides of the equation

ahrayia [7]

Answer:

To cancel a term, it is necessary to add the <em>opposite of the term</em> to both sides of the equation

Step-by-step explanation:

Adding opposites creates a sum of zero. Zero added to anything else does not change the its value. So, adding the opposite of a term effectively removes it from (that side of) the equation.

8 0

3 years ago