MATHEMATICS MIDDLE SCHOOL

3. Which relation is a function?A. {(-3, 4), (-3, 8), (6, 8)}
B. {(3, 4), (-3, 8), (6, 8)}
C. {(-3, 4), (3,-8), (3, 8)}
D. {(-3, 4), (3,5), (-3, 8))​

Answers

Answer 1
Answer:

Answer:

B

Step-by-step explanation:

Recall that functions are defined only if for each value in the domain produces one and only one value in the range.

If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value

Lets evaluate the options:

A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)

D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

the only choice where this doesn't occur is choice B

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Which of the following options have the same value as 65%, percent of 20?

Answers

This question is incomplete. Hereis the complete question:

Which of the following options have the same value as 65% of 20?

(A) 0.65⋅20 (B) 65/100 divided by 20 (C) 65/20 * 100 (D) 65 * 20

Answer:

The correct answer is option (A) 0.65⋅20

Step-by-step explanation:

In this case they are asking us for an expression that is equivalent to 65% of 20. They are not asking us what is the value of that operation.

When we do a percentage calculation we can do it in two ways.

Let's see each one of them:

. (65 * 20): 100 =

  1300: 100 = 13

. 0.65. 20 = 13

As we can see both ways we get the same result.

Given this information we can say that the correct answer is option A.

Answer:

13

Step-by-step explanation:

You find out what is one percent then multiply from there

Can someone help me dividing fractions: 2/10%1/2 with procces

Answers

First off, 2/10 can be simplified. 2 divided by 2 is 1. So the numerator is 1. 10divided by 2 is 5. Denominator is 5. So right now your first fraction is 2/5. 2/5 divided by 1/2. First, you keep your first fraction. You switch the division sign to multiplication, and always do the reciprocal (flip it around) of the second fraction. So instead of 1/2, it would be 2/1. Then multiply. 2/5 x 2/1. 2x2 is 4, 5x1 is 5. 4- numerator/5-denominator. Your answer is 4/5.

Rewrite equation in vertex form y=x^2+4x+2

Answers

Answer: y =(x+2)^2-2

Steps:

The general vertex form of a parabola is as follows:

y = a(x-x_v)^2+b

where xv is the x coordinate of the vertex, a is the coefficient determining how wide/narrow the parabola is and whether it is open-up (+) or open-down (-), and b is the bias (vertical shift.


Transforming an expression into the vertex form involves completing the square step:

y=x^2+4x+2\ny = x^2 + 2\cdot2 x+ 2 + 4 - 4= (x+2)^2-2\ny =(x+2)^2-2\n\implies x_v = -2,a=1, b=-2

To determine if an ordered pair is a solution to a system of linear equations in two variables, __________.A.
substitute the coordinates of the ordered pair into either equation to see if it produces a true statement
B.
substitute the coordinates of the ordered pair in both equations to see if it produces a true statement for each
C.
substitute the coordinates of the ordered pair in the first equation to see if it produces a true statement
D.
substitute the coordinates of the ordered pair in the second equation to see if it produces a true statement

Answers

Answer:

B

Step-by-step explanation:

When an ordered pair is a solution to a system of equations in two variables, it must mean that when you plug in the ordered pair into both equations, it must come out true (this is literally the definition of a solution to a system of equation). Technically, A is also facts, but B is a "more inclusive" facts so that's your answer. Hope this helps! :)

3n+8=23 answer and the work to show the answer please

Answers

Answer: n = 5

Step-by-step explanation: To solve for n, we must first isolate the term containing n which in this problem is 3n.

Since 8 is being added to 3n, we subtract 8 from both sides of the equation to isolate the 3n. On the left, the +8 and -8 cancel out and on the right 23 - 8 is 15.

So we have 3n = 15.

Now we can finish things off by just dividing both sides of the equation by 3. On the left the 3's cancel and on the right 15 divided by 3 is 5 so n = 5 and you can check your answer by plugging 5 back in for n in the original equation which is shown below in bold.

3(5) + 8 = 23 or 15 + 8 = 23.

Answer:

n = 5

Step-by-step explanation:

3n + 8 = 23

     - 8    - 8   Subtract 8 from both sides

3n = 15

n = 5      Divide both sides by 3

What is the standard form of the equation y = (x + 2)^2 -3y = x^2 + 4x - 3
y = x^2 + 4x + 7
y = x^2 + 4x + 1
y = x^2 + 4x - 3

Answers

Answer:

y=x^2+4x+7

Step-by-step explanation:

y=(x+2)(x+2)-3

y=x^2+2x+2x+4-3

y=x^2+4x+7

Answer:

C. y = x² + 4x + 1

Step-by-step explanation:

y = (x + 2)² - 3

y = x² + 4x + 4 - 3

y = x² + 4x + 1
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