Determine which relation is a function. A.{(–4, 3), (–2, 3), (–1, 2), (2, 5), (3, 2)}

B.{(–4, 1), (–2, 3), (–2, 1), (–1, 5), (3, 2)}

C.{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}

D.{(–4, 1), (–2, 3), (–1, 1), (–1, 5), (3, 2)}

Answers

Answer 1

Answer: The A is a function, because all the values of the independent variable (the first value of the ordered pairs) are related to only one value, i.e. have only one image.

In B - 2 has two different images: 3 and 1. That makes that this is not a function.

In C, 3 has two different images: 5 and 2. That makes that this is not a function.

In D, - 1 has two different images: 1 and 5. That makes that this is not a function.

Related Questions

Solve the inequality -10w _< 20
The solution to 5 × 1 will be what kind of number
Domain definition in math
1) Transform the polynomial into a perfect square trinomial to solve. 3x^2+24x=27 a) {-21, -11} b) {-29,21} c) {-41,9} d) {-1,1}
Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 1?

What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3? y = 5 y = 6 y = 8 y = 9

Answers

Answer:

y=9

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, y=?

6.4*3+2.8y= 44.4
2.8y= 44.4- 19.2
2.8y= 25.2
y= 25.2/2.8
y= 9

Answer:

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, substituting it in the expression above we have :

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4

2.8y = 44.4 -19.2 = 25.2

y = 25.2 / 2.8 = 9

The cost of 6 sailor moon comic books is equal to the cost of a Nirvana vinyl plus 3 comic books. The vinyl costs $15. How much is one comic book?

Answers

Answer:

one comic book costs $5

Step-by-step explanation:

let cost of comic book = $x

let cost of vinyl = $y

according to the question:

6x = y + 3x

y = 6x - 3x

y = 3x (1)

y = $15 (2)

substituting the value of y from equation (2) into equation (1)

15 = 3x

x = 15/3 = 5

thus, cost of one comic book = $5

Answer:

5$.

Step-by-step explanation:

Let's denote the cost of one Sailor Moon comic book as x .

The cost of 6 Sailor Moon comic books is 6x.

According to the given information, the cost of a Nirvana vinyl plus 3 comic books is equal to the cost of 6 Sailor Moon comic books.

So, 15 + 3x = 6x , as the vinyl costs $15.

Now, let's solve for x :

Subtract 3x from both sides: 15 = 3x

Divide by 3: x = 5

Therefore, the cost of one Sailor Moon comic book is $5.

He coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
–3 5
0 4
Line 2
x y
0 4
6 2
A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answers

$\hbox{Line 1:}\nm=(5-4)/(-3-0)\nm=(1)/(-3)\nm=-(1)/(3)\n\n\hbox{Line 2:}\nm=(4-2)/(0-6)\nm=(2)/(-6)\nm=-(1)/(3)$

Both lines have the same slope, which means they are parallel. They also pass through the same point $(0,4)$ . This means they're overlapping so there is infinitely many solutions.

Which of the following are the factors of t4 – 81?A. (t – 3)(t + 3)2
B. (t – 3)(t + 3)(t2 + 9)
C. (t2 – 9)(t2 – 9)
D. (t – 3)2(t + 3)2

Answers

$t^4 - 81 =\n\n(t^2)^2 - (9)^2=\n\n(t^2 - 9)(t^2 + 9) =\n\n\boxed{\bf{ (t-3)(t+3)(t^2 + 9)}}$

Your answer is B.

$t^4 - 81 \n \n (t^2)^2 - 9^2 \n \n (t^2 + 9)(t^2 - 9) \n \n (t^2 + 9)(t^2 - 3^2) \n \n (t^2 + 9)(t + 3)(t - 3) \n \n$

The final result is: B

Brigid is building a table with her mom as a weekend project. She needs 5.875 feet of wood. Whatis this amount as a fraction? (1 point)

Answers

Answer:

5.875 as a fraction is 47/8.

Step-by-step explanation:

no explanation lol

Final answer:

The fractional equivalent of the decimal number 5.875 is 5 7/8. This is found by converting the decimal part of the number to a fraction (0.875 becomes 875/1000), simplifying it to the lowest form (7/8), and tacking it onto the whole number part (5).

Explanation:

The fraction equivalent to the decimal number 5.875 feet can be obtained by understanding decimal placement and fractions. A fraction represents a part of a whole and in decimal numbers, the place value after decimal point represents tenths, hundredths, thousandths, and so on. Looking at the decimal number 5.875, the three digits after the decimal represent the thousandth place.

So, convert 875 thousandths to a fraction. In fraction form, it would thus be 875/1000. However, we simplify to get the equivalent fraction by dividing both the numerator (875) and the denominator (1000) by their greatest common divisor (GCD) which is 125. Hence, 875 divided by 125 gives 7, and 1000 divided by 125 gives 8. Consequently, the fraction for 0.875 is 7/8.

Therefore, 5.875 feet is equal to 5 7/8 feet in fractional form.