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
S_A_V [24]
3 years ago
12

Which equation represents the proportional relationship in the table ?

Mathematics
2 answers:
Leya [2.2K]3 years ago
6 0
The answer is c = 3r. Note that c is the output and r is the input. I figured this out by using mental math and noticing the pattern. Each value the input is multiplied by 3, which results in the output.

(INPUT)2 * 3 = 6 (OUTPUT)
(INPUT)4 * 3 = 12 (OUTPUT)
(INPUT)7 * 3 = 21 (OUTPUT)
(INPUT)10 * 3 = 30 (OUTPUT)
(INPUT)12 * 3 = 36 (OUTPUT)

den301095 [7]3 years ago
3 0
C=3r

hope this helps!
You might be interested in
Answers to these! Need ASAP due tomorrow
Aleks04 [339]
Try Photomath Even scans the problem from your paper
#2

3 0
3 years ago
"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is
sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

  b^2 +h^2 =  D^2\\

 5^2 +12^2 = 13^2

so our diagonal will be 13cm  

Upon differentiating the area of the rectangle  we get

b*h = A=60cm^2

using  the chain rule of differentiation

h*db/dt + b*dh/dt  = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

b^2 +h^2  = D^2

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

\frac{144-25}{8} = 13*dD/dt

dD/dt = \frac{119}{104} cm/min

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

6 0
3 years ago
Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).
Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>
  • The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In this problem, the function is:

f(x) = x^3 + ax^2 + b

Hence, the derivative is:

f^{\prime}(x) = 3x^2 + 2ax

Then:

f^{\prime}(x) = 0

3x^2 + 2ax = 0

x(3x + 2a) = 0

x = 0

3x + 2a = 0

3x = -2a

x = -\frac{2a}{3}

Since the critical point is at x = 2, we have that:

-\frac{2a}{3} = 2

-2a = 6

2a = -6

a = -3

Then:

f(x) = x^3 - 3x^2 + b

Critical point at (2,3) means that when x = 2, y = 3, then:

3 = 2^3 - 3(2)^2 + b

8 - 12 + b = 3

b = 7

You can learn more about the critical point concept at brainly.com/question/2256078

4 0
2 years ago
coffee which normally sells for $2.19 per pound is now on sale for 5.49 for 3 lb how much is safe per pound by buying the three
N76 [4]
What are the answer choices.??????????
3 0
3 years ago
A collage student is deciding how many hours to work at a part time job and at an internship. The job pays $25 an hour, and the
Jobisdone [24]

Answer:

12x+25y is greater then or equalt to 250

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Please helppppppppp meeeeee
    14·1 answer
  • I need to know the answer to this problem​
    7·1 answer
  • Find the y intercept of the following equation y=7/2x-10/7
    12·1 answer
  • suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))? suppose that f(x) = 4x+7 and g(x)
    11·1 answer
  • carter lives on a street where all the house numbers are multiples of 6. Name two possible house numbers between 601 and 650. ex
    5·1 answer
  • What is the difference of 5 and 3.07
    7·1 answer
  • What is the distance between the y axis and the point (6,-3)
    8·1 answer
  • Can someone help me with #2 please? The picture is attached below
    8·2 answers
  • I RLLY NEED HELP PLSS HELP Does (0, 1) lie on the graph of the exponential growth function y = 2^x?
    5·1 answer
  • Decompose 2 ⅜ Plz help
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!