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madreJ [45]
3 years ago
5

Study the table below. Label the table as proportional or non-proportional. Explain your reasoning.

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

Proportional

Step-by-step explanation:

If the function is proportional, it will have the following relationship:

f(x) = kx

Let's look at the first one:

-14 = -7k

k = 2

Now let's see if k=2 is true for the rest:

0 = 2(0) True

10 = 2(5) True

16 = 2(8) True

f(x) = 2x.  So this is indeed proportional.

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the larger of two numbers is 1 less than 3 times the smaller number. if twice the smaller is increased by the larger number, the
Y_Kistochka [10]

x = 3y - 1

2y + x = x + 18


2y + 3y - 1 = 3y - 1 + 18

5y - 1 = 3y + 17

2y = 18

y = 9


x = 3(9) - 1

x = 27 - 1

x = 26

5 0
3 years ago
Explain why each of the following integrals is improper. (a) 4 x x − 3 dx 3 Since the integral has an infinite interval of integ
erma4kov [3.2K]

Answer:

a

   Since the integral has an infinite discontinuity, it is a Type 2 improper integral

b

   Since the integral has an infinite interval of integration, it is a Type 1 improper integral

c

  Since the integral has an infinite interval of integration, it is a Type 1 improper integral

d

     Since the integral has an infinite discontinuity, it is a Type 2 improper integral

Step-by-step explanation:

Considering  a

          \int\limits^4_3 {\frac{x}{x- 3} } \, dx

Looking at this we that at x = 3   this  integral will be  infinitely discontinuous

Considering  b    

        \int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx

Looking at this integral we see that the interval is between 0 \ and  \  \infty which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  c

       \int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx

Looking at this integral we see that the interval is between -\infty \ and  \  \infty which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  d

        \int\limits^{\frac{\pi}{4} }_0  {cot (x)} \, dx

Looking at the integral  we see that  at  x =  0  cot (0) will be infinity  hence the  integral has an infinite discontinuity , so  it is a  Type 2 improper integral

     

7 0
3 years ago
What is the circumference of a circle with a radius of 0.8 m? A. 0.64*pi m B. 0.8*pim C. 1.6*pi m D. 2.56*pi m
Paraphin [41]
C = 2πr
C = 2(3.14)(0.8)
C = 2(2.512)
C = 5.024 m

The answer is C.
7 0
3 years ago
A formal garden has 3 sections of different colored tulips. Each section has 162 tulips.
Anettt [7]
486 if your looking for the total
3 0
2 years ago
Higher order thinking: Jeff finds some bugs. He finds 10 Fewer grasshoppers than crickets. He finds 5 fewer crickets than Lady b
Stells [14]
C - 10 = g
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40 bugs
8 0
3 years ago
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