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Posted in Mathematics

Give 3 ordered pairs that satisfy the equation y=12x


To find ordered pairs that fit this equation, you just have to choose an x-value then record the answer for your y-value. you can literally go for anything you want, but it's easiest to pick smaller values:

when x = 1...
y = 12(1)
y = 12
ordered pair: (1, 12)

when x = 0...
y = 12(0)
y = 0
ordered pair: (0, 0)

when x = 2...
y = 12(2)
y = 24
ordered pair: (2, 24)

Related Questions

Posted in Mathematics

A quadratic equation is shown below: 9x2 - 36x + 36 = 0 Part A: Describe the solution(s) to the equation by just determining the discriminant. Show your work. (3 points) Part B: Solve 2x2 - 9x + 7 = 0 using an appropriate method. Show the steps of your work and explain why you chose the method used.(4 points)

For part A:
9x² - 36x + 36 = 0 
9(x² - 4x + 4) = 0 
9(x-2)(x-2) = 0 
Radicand = Discriminant = 36² - 4(9)(36) = 0 
there is 1 real zero that repeats itself)

zero is x=2. 

Use factoring. Factors of 7 are 1 and 7 
2x²-9x+7 = 0

(2x-7)(x-1) = 0 
2x-7 = 0              (x-1)=0 
2x = 7x=1 
x = 7/2 
Your solutions are x = 1 and x = 7/2 

I hope my answers helped you

Posted in Mathematics

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h? h = (– b)÷ r h = – b ÷ r h = ÷ r – b h = ÷ r

For the answer to the question above, first we must enlist the given

p = take home pay
r = rate of dollars per hour
h = number of hours worked
b = bonus

So now we can find h and let us start with the formula.

p = 0.7(rh + b)

p = 0.7*r*h + 0.7b

p - 0.7b = 0.7rh

So the answer for this problem is

h = (p-0.7b)/0.7r 

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Posted in Mathematics

1. Which set of ordered pairs in the form of (x,y) does not represent a function of x? (1 Point) A. (1, 1.5), (2, -1.5), (3, 1.5), (4, 1.5) B. (0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5) C. (1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5) D. (1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)

Based on the given set of ordered pairs above, the set of ordered pairs in the form of (x,y) that does not represent a function of x would be option B. Why is this so? if you notice, the number 1 in the x is being repeated so this means this is not a function. Hope this answer helps.

Posted in Mathematics

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week. Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?

For the answer to the question above, let us solve the first for
Part A. $10 x 40 hours= $400 ($10x = W) X= 40 hours a week

Part b. $10 x 40 hours = $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more than 40 hours you take the number of hours over time and multiply it by 15.

Part c.  Now that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400, so we need to figure out 15 times what is equal to 90. 15 times six is equal to 90 which means that Drey worked for 46 hours

Posted in Mathematics

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

For the answer to the question above, I'll show my to solution to the answer below.
average rate of change is 
(f(5) - f(1))/(5 - 1) = 

(17 - 5^2 - (17 - 1^2))/4 = 

(17 - 25 - 17 + 1)/4 = 
So the answer for this problem is
-6
I hope my answer helped you. Feel free to ask for more questions.

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Posted in Mathematics

What is the solution to the system of equations? y = 1.5x – 4 y = –x a. (–1.6, 1.6) b. (–1.5, 1.5) c. (1.5, –1.5) d. (1.6, –1.6)

I believe the correct answer from the choices listed above is option D. The solution to the system of equations given above would be (1.6, –1.6). We can use the substitution method to solve this. We do as follows:

-x = 1.5x – 4
4 = 2.5x
x = 1.6
y = -x = -1.6

Posted in Mathematics

Which ordered pair is a solution of the equation 2x − y = 9 (-4,1) (-2,5) (5,1) (6,-3)

In order to confirm if which ordered pair is a solution of the given equation above, we can just simply plug in the values.
So based on my solution, the correct answer would be the third option: (5,1) 
So let us try to plug in the values.
2(5) - 1 = 9
10 -1 = 9
9 = 9
So this is the correct one. Hope this answers your question.

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Posted in Mathematics

Solve the equation for y 2x+6y=13

So here is how we are going to solve for y for the given equation above:
2x+6y=13
Next, transfer 2x to the right side and it will look like this:
6y=13-2x
Now, divide both sides by 6, and it will look like this:
y=13-2x
    --------
       6
So, this is the final answer for y.
Hope this answers your question. Have a great day!

Posted in Mathematics

The y-coordinate of the y-intercept is the _____ term in the equation of the line.

For the answer to the missing term in the question above, the question is as simple as its answer. The right answer is constant.
I hope my answer helped you. Feel free to ask more questions. Have a nice day!

Posted in Mathematics

The discriminant of a quadratic equation is negative. One solution is 3+4i . What is the other solution? A.4-3i B.3-4i C.4+3i D.-3+4i

The way you stated the problem, there is an infinity of possibilities for the other solution. 

► For instance, the quadratic equation: 
   x² – (6 + 4i)x + (9 + 12i) = 0 
has for discriminant: 
   Δ = (6 + 4i)² – 4(9 + 12i) = 36 – 16 + 48i – 36 – 48i = -16 
which is indeed negative. 
Its solutions will then be: 
   x₁ = [(6 + 4i) + 4i]/2 = 3 + 4i 
   x₂ = [(6 + 4i) – 4i]/2 = 3 
And the other solution here is 3. 

► If you are not convinced, the quadratic equation: 
   x² – (6 + 5i)x + (5 + 15i) = 0 
has for discriminant: 
   Δ = (6 + 5i)² – 4(5 + 15i) = 36 – 25 + 60i – 20 – 60i = -9 
which is indeed negative. 
Its solutions will then be: 
   x₁ = [(6 + 5i) + 3i]/2 = 3 + 4i 
   x₂ = [(6 + 5i) – 3i]/2 = 3 + i 
And the other solution here is 3+i. 

► In fact, every quadratic equation of the form: 
   x² – [6 + (4 + α)i]x + (3 + 4i)(3 + αi) = 0 
where α is any real, has for discriminant: 
   Δ = [6 + (4 + α)i]² – 4(3 + 4i)(3 + αi) 
      = 36 – (4 + α)² + 12(4 + α)i – 36 + 16α – 12(4 + α)i 
      = 16α – (4 + α)² 
      = 16α – 16 – 8α – α² 
      = -16 + 8α – α² 
      = -(α – 4)² 
WILL be negative. 
Their solutions will then be: 
   x₁ = [ [6 + (4 + α)i] – (α – 4)i ]/2 = 3 + 4i 
   x₂ = [ [6 + (4 + α)i] + (α – 4)i ]/2 = 3 + αi 
And the other solution will then be is 3+αi. 

Since α can take any real value, you'll obtain an infinity of solutions of the form 3+αi. 

► So conclusively: 
If the discriminant of a quadratic is negative AND one of the solutions is 3+4i, the only thing we can say about the other solution is that its real part must be 3. 

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Posted in Mathematics

Each set of ordered pairs represents a function. Write a rule that represents the function. 1. (0,0),(1,4),(2,16),(3,36),(4,64) 2. (0,0),(1,0.5),(2,2),(3,4.5),(4,8)

My answer to the question is as follows:

First one looks like you are squaring the number, then multiplying the result by 4, i.e.

y=4x2

second one is similar, but instead of squaring and multiplying by 4, you are squaring and then dividing by 2

I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

What is the equation in point slope form of the line that passes through the point (–2, 4)(–2, 4) and has a slope of 5?

Point-slope formula: y-y1=m(x-x1) 
Now we'll plug in the numbers they give us into the formula:

y-4= 0(x+2).

Posted in Mathematics

Calculate the moments Mx, My, and the center of mass (x bar, y bar) of a lamina with the given density p=5 and the shape:

M x = 1/2 p ∫ ( f ( x )² - g ( x )² ) d x
f ( x ) = √( 1 - x²),  g ( x ) = - 2
M x = 1/2 * 5  \int\limits^1_{-1} (- x^{2} -3)\, dx= \\ =-5/2 * [ x^{3}/3 + 3 x]^1 _{-1} = \\ =-5/2 * (1/3+3+1/3+3)=
= - 50/3
My = p ∫ x * ( f ( x ) ) dx
My = p ∫ x ( √(1+x²)) dx
Substitution: 1 - x² = u,  x dx = - du/2
M y = 5 *  \int\limits^0_0 { \sqrt{u} } \, du = 0
M x = - 50/3, M y = 0
M = 5 *  \int\limits^1_{-1}  { (\sqrt{1+ x^{2} }+2)} \, dx  = \\ 
=5* [1/2  \sqrt{1+ x^{2} }  *x + 2 x + 1/2 *sinh ^{-1} x]^1_{-1}
M ≈ 5 * 6.3 ≈ 31.2  
x = M y / M = 0 / 31.5 = 0
y = M x / M =  -50/3 : 31.5 ≈ - 0.529
The center of mass is ( 0, -0.529 )


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Posted in Mathematics

Mrs. Donley's math class has a total of 25 students. On Friday, the class was given an eight question quiz on fractions. The number of incorrect answers given by the students is shown below. Incorrect Answers Number of Students 0 5 1 7 2 4 3 6 4 2 5 1 What is the relative frequency of students that missed 1 question on the quiz? A. 0.28 B. 0.48 C. 0.35

You need to find the amount of students who missed one question, and divide that by the total number. If you sum all the students, you find that there are 25 students. From the chart, 7 missed 1 question, therefore the solution would be 7/25, which is 0.28, or A.

A. 0.28

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Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1? Map Diagram: Input 1 2 3 4 5 Output 1 2 3 4 5 The arrow points from 4 under input to 1 under output. Answer Choices are: A. (1, 1) B. (1, 4) C. (4, 1) D. (4, 4)

Input options represent first number in ordered pair and output options represent second number in ordered pair.

We can see that arrow starts from 4 and is pointing to 1 which means:
first number is 4 and second is 1

Ordered pair is:
(4,1)

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Posted in Mathematics

WILL UPVOTE! Which equation is related to 89 = x + 61? A. x = 150 B. 61 = 89 + x C. x = 28 D. x = 18

C! x = 28. If you use simplification, and then you find the answer and use it in the equation, it would be correct.

Posted in Mathematics

Will Upvote you! Evaluate the function rule for the given value. y = 8 ∙ 3^x for x = 4 A: 96 B: 1944 C: 647 D: 648

For x = 4, then it means 3 to the fourth power or 3 times 3 times 3 times 3 times 3.  3^4 = 81 and 8 times that is 648.

y(x) = 8 * 3^x where x = 4:

y(x) = 8 * 3^4 = 8 * 81
y(x) = 648

The Function Rule then being that for every value of x there is one and only one value of y. y is the dependent variable and x is the independent variable.

Posted in Mathematics

What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4? 2 units 4 units 8 units 16 units

Answer:

Option (a) is correct.

The radius of circle with equation (x-7)^2+(y-10)^2=4 is 2 units.          

Step-by-step explanation:

 Given : The equation of circle as (x-7)^2+(y-10)^2=4

We haave to determine the radiusof th circle whose equation is given as (x-7)^2+(y-10)^2=4.

Consider the gicen equation (x-7)^2+(y-10)^2=4

The standard equation of circle with centre (h, k) and radius r is given by (x-h)^2+(y-k)^2=r^2

Thus, Comparing the gicen equation h = 7 , k = 10 and r = 2

Thus, The radius of circle with equation (x-7)^2+(y-10)^2=4 is 2 units.

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Posted in Mathematics

A+24=-15 how do you do this 1-step equation

You must do to the left hand side what you do to the right hand side.

We just want to get only A on the LHS and how much A is on the RHS.

A + 24 - 24 = -15 - 24 // we get rid of the +24 to only leave A and we do it on the other side because we always do that

A = -39

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