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
bogdanovich [222]
3 years ago
9

Determine weather each table represents a linear, quadratic, or exponential function.

Mathematics
1 answer:
solong [7]3 years ago
3 0

Answer:

A: Exponential

B: Quadratic

C: Linear

Step-by-step explanation:

Solution:-

- We will closely inspect each Table and find the difference between each "Y" value at every unit increase in "x" value:

Table A:

 X            Y              ΔY/ΔX

 1             5               xxxxxx              Exponential because [ ΔY/ΔX ]          

 2            11              11 - 5 = 6            increases at the fastest rate out of all

 3           29             29 - 11 = 18         functions.

 4           83             83 - 29 = 54

 5           245          254 - 83 = 171

 6           731           731 - 254 = 477

Table B:

 X            Y                 ΔY/ΔX            Δ^2Y/ΔX^2          

 0             5                 xxxxxx              xxx             Quadratic because

 1              7                 7 - 5 = 2            xxx            Δ^2Y/ΔX^2 is a constant

 2             13               13 - 7 = 6           6-2 = 4       for all quadratic functions

 3             23              23 - 13 = 10       10-6 = 4

 4             37              37 - 23 = 14       14-10 = 4

 5             55             55 - 37 = 18        18-14 = 4

Table C:

 X            Y                 ΔY/ΔX                      

 3             20               xxxxxx                 Linear because

 6             18                 2 / 3                    ΔY/ΔX is a constant

 9             16                 2 / 3                   for all linear functions

 15            12                 2 / 3      

 27            4                  8/12 = 2/3      

 39           -4                  8/12 = 2/3      

You might be interested in
If the domain of the function f(x)=2x2- 8is {-2, 3, 5}, then the range is
Simora [160]

Answer:

{0, 10, 42}

Step-by-step explanation:

<em>Domain is set of input values and range is set output values.</em>

For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}

<u>Range is:</u>

  • f(-2) = 2(-2)² - 8 = 0
  • f(3) = 2*3² - 8 = 10
  • f(5) = 2*5² - 8 = 42

<u>Range:</u> {0, 10, 42}

6 0
3 years ago
Answer to 3+2+(5-1)+5=
otez555 [7]

Answer:

14

Step-by-step explanation:

3 + 2 + (5 - 1) + 5

Always solve the ones inside the parentheses first.

3 + 2 + (4) + 5

5 + 4 + 5

9 + 5

= 14

5 0
3 years ago
The equation of line v is y=9x+1. Line w is perpendicular to line v and passes through (3, – 2). What is the equation of line w?
Anna11 [10]

Answer:

Step-by-step explanation:

Remember the general form of a linear equartion: y=mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

The equation of line v (y=9x+1) has a slope of 9. A perpendicular line with have a slope equal to the negative inverse of the reference line. So the line we want will have a slope of -(1/9). That gives us y = -(1/9)x + b. Any vale of b will produce a line that is perpendicular. But we want a line that goes through point (3,-2). All we need to do is find a value for b that will make that wish come true.

Use the point (3,-2) in y = -(1/9)x + b and solve for b:

y = -(1/9)x + b

-2 = -(1/9)*(3) + b

-2 = -(1/3) + b

b = - 1 2/3, or -(5/3)

The equation is y = -(1/9)x + - (5/3)

7 0
2 years ago
What is the inverse of the function​
sleet_krkn [62]

Answer:

x^2-10x+31

Step-by-step explanation:

y=\sqrt{x-6}+5

x=\sqrt{y-6}+5

\sqrt{y-6}+5=x

\sqrt{y-6}+5-5=x-5

\sqrt{y-6}=x-5

\left(\sqrt{y-6}\right)^2=\left(x-5\right)^2

\left(\sqrt{y-6}\right)^2

=\left(\left(y-6\right)^{\frac{1}{2}}\right)^2

=y-6

\left(x-5\right)^2

=x^2-10x+25

y-6=x^2-10x+25

y-6+6=x^2-10x+25+6

y=x^2-10x+31

6 0
3 years ago
Zelma buys p pounds of bananas for 40 cents per pound. she pays the clerk with a twenty dollar bill. the clerk subtract the tota
Molodets [167]
The expression should be $20.00-($0.40p)=change recieved
7 0
3 years ago
Other questions:
  • I need the answer for these.<br> 1a: <br> 1b:<br> 1c:
    7·1 answer
  • Problem page a suit is on sale for $197.20 , which is 34% of the regular price. what is the regular price?
    5·1 answer
  • Respuesta para 8×-2=-9+7×
    11·1 answer
  • Which amount is equivaent to 8 pounds?
    12·1 answer
  • A tree on the farm casts a shadow that is 5 feet long. Tyler standing next to the tree casts a shadow that is 2 feet tall. If Ty
    7·1 answer
  • Write each phrase as an algebraic expression ​
    5·1 answer
  • Robin has a piece of ribbon that is 4.5 meters long. She wants to cut it into pieces that are .05 meters long. How many pieces o
    6·2 answers
  • Can anyone help me with this
    12·1 answer
  • Prompt
    10·2 answers
  • How many diffrent ways can a rectangle be named
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!