All categories

3 years ago

Use the domain and range of each of the following relations to determine which is a function.

Mathematics

2 answers:

Dima020 [189]3 years ago

7 0

The answer js A. the first one

Margaret [11]3 years ago

5 0

Answer:

The function is expressed by answer A

Step-by-step explanation:

A function is a mathematical expression in which, for an independent variable , usually called x, we obtain one and only one value after applying the function, usually known as the dependent variable y.

D is not a function as we do not have two corresponding values or coordinate pairs. We only have a list of numbers

In C, B and A we have pairs of coordinate values expressed as (x,y) the independent and dependent variable.

In expression B, we see that the for the value of x=3 in ponts 1 (3.-3) and (3.-9) , the value 3 has two resulting values of y , -3 and -9, so this coordinates do not represent a function.

In option C, occurs something similar in this case with x =9. x=9 has two values in y : y=-6 and y= 2 so these points do not define a function

In A each x value (3.9.0) has a unique avlue of y (-3,-6,-9) so this is a function.

You might be interested in

10% of what is 80,000?

Nataly [62]

Answer:

let the no be x ..then,

10% of x =80,000

10x=80,000*100

x=80,00,000/10

x=8,00,000

hence 10%of 8,00,000 is 80,000

6 0

2 years ago

Read 2 more answers

Find the lateral area of a rectangluar prism with ?

NikAS [45]

Answer:

40 Squared units

Step-by-step explanation:

$A=2*2*4+2*2*6=40$

4 0

3 years ago

Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).

Tasya [4]

Answer:

Step-by-step explanation:

A line perpendicular to the given line has a slope that is the negative inverse of the reference line.

Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.

2x + 3y = 4

3y=-2x+4

y = -(2/3)X + (4/3)

The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:

y = (3/2)x + b

Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.

y = (3/2)x + b

-5 = (3/2)(-3) + b

-5 = -(9/2) + b

-5 = -4.5 + b

b = - 0.5

The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is

y = (3/2)x - 0.5

6 0

1 year ago

The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total sales were $1050. How

S_A_V [24]

We know the total tickets sold = 400. Let x be the number of adult tickets sold. That means 400 - x is the number of student tickets. The revenue from adult tickets will be $3 * x, which we can call 3x. The revenue from student ticks will be $2 * (400 - x), or 800 - 2x. The total revenue is $1050, so that means: 3x + (800 - 2x) = 1050. Removing the parentheses: 3x + 800 - 2x = 1050 Subtracting 800 from both sides: 3x - 2x = 250 Simplifying the left side: x = 250, which is the number of adult tickets. 400-x = student tickets = 400-250 = 150. ALWAYS check! In this case, check the revenue: 3x = 3(250) = 750 2(150) = 300 750 + 300 = 1050. Check!

5 0

2 years ago

The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8?

dolphi86 [110]

Answer:

y= -4

Step-by-step explanation:

x+y=42. We know that x plus y equals 42.

x=2y . We also know that x equals twice y.

2y+y=42. Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14. 3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42. Now that we know what y equals, let's replace y with 14 from the original equation.

x=28. Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

4 0

3 years ago