1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vedmedyk [2.9K]
3 years ago
11

If y = 5x – 4, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Substitute the x value into the right side of the function and if the value obtained is equal to the y value of the point then it is a solution.

(0, - 4) → y = 5(0) - 4 = 0 - 4 = -4 ← True

(2, 6) → y = 5(2) - 4 = 10 - 4 = 6 ← True

(4, 20) → 5(4) - 4 = 20 - 4 = 16 ← False

(4, 16) → 5(4) - 4 = 20 - 4 = 16 ← True

(0, - 4), (2, 6), (4, 16) ← possible inputs and outputs

You might be interested in
How to integrate 1/(1-y)^2
Akimi4 [234]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/866966

_______________


Evaluate the indefinite integral:

\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy}\\\\\\ =\mathsf{\displaystyle\int\!\dfrac{-1}{(1-y)^2}\cdot (-1)\,dy}\\\\\\ =\mathsf{\displaystyle- \int\!(1-y)^{-2}\cdot (-1)\,dy\qquad\quad(i)}


Substitution:

\begin{array}{lcl} \mathsf{1-y=u}&\quad\Rightarrow\quad&\mathsf{y=1-u}\\\\ &&\mathsf{dy=-1\,du} \end{array}


So the integral \mathsf{(i)} becomes

=\mathsf{\displaystyle -\int\! u^{-2}\,du}\\\\\\ =\mathsf{-\,\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\ =\mathsf{-\,\dfrac{u^{-1}}{-1}+C}\\\\\\ =\mathsf{u^{-1}+C}\\\\\\ =\mathsf{\dfrac{1}{u}+C}

=\mathsf{\dfrac{1}{1-y}+C}\\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy=\dfrac{1}{1-y}+C} \end{array}}\qquad\quad\checkmark


I hope this helps. =)


Tags:  <em>indefinite integral fraction rational substitution power differential calculus</em>

3 0
2 years ago
How do I do number 2?
Zielflug [23.3K]
All you have to do is 3.4 times 600 
7 0
2 years ago
Read 2 more answers
Solve for x<br> -5x+1=31
Ghella [55]

Answer:

x = -6

Step-by-step explanation:

-5x+1=31

- Subtract 1 from both sides of the equation.

-5x = 30

x = -6

8 0
2 years ago
Read 2 more answers
Please solve for x<br> y+x=89<br> y=11<br> x=???
VLD [36.1K]

Answer:

78

Step-by-step explanation:

11 + x = 89                Subtract 11

11 - 11 + x = 89 -11

x = 78

6 0
3 years ago
Read 2 more answers
I need help! ASAP!! please and thank you
Neko [114]

Answer: The walking path around it.

Step-by-step explanation:

Remember the Pythagorean's theorem, for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

or

H = √(A^2 + B^2)

Here, A + B is the total distance for the path, while the hypotenuse is the distance for the bridge

Here we can see that:

A = 1170 ft

B = 520 ft

Then:

H = √( (520 ft)^2 + (1170 ft)^2) = 1280.4 ft

Now, let's compute the costs.

For the bridge, we know that each foot costs $11, then for 1280.4 ft the cost is:

Cost of the bridge = (1280.4)*$11 = $14,084.4

And for the walking path, the cost is $6 per foot, then the total cost of the path is:

Cost of the path = (520 ft + 1170 ft)*$6 = $10,140

We know that the bridge is preferred if it is within the range of $1500 for the path's cost.

This range is:

($10,140 - $1,500, $10,140 + $1,500) = ($8,640, $11,640)

Here we can see that the cost of the bridge does not belong to this range, (is higher) so the option we should recommend is the walking path around.

8 0
3 years ago
Other questions:
  • 6n=3.6 one step equations
    7·2 answers
  • What is the degree measure of x?
    11·1 answer
  • Round 0.76581 to the specified number of decimal places which is 3
    14·2 answers
  • I need help with this and don't know the answer to this problem.
    10·1 answer
  • Given 4x − 8y = 8:
    14·1 answer
  • Find the measure of the acute angle that line y=1/3x+4 makes with a horizontal line. Round your answer to the nearest tenth.
    11·1 answer
  • Dana takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 8 in
    6·1 answer
  • What is the area of the following circle?
    9·1 answer
  • Please help I don’t understand
    7·1 answer
  • Solve this system of equations by using the elimination method.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!