Given a set of data, what steps would you take to identify whether the data showed linear or exponential growth?

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

The first thing to do when given a data set is to ensure that the x-values are spaced in equal intervals.

The next is now to determine if the given y-values are increasing by the same amount(a common difference) or by the same ratio(a common ratio).

The data set is linear if the y-values increase by a common difference and the data set is exponential if the y-values increase by a ratio or factor.

Answer 2

Answer:

Which of the following steps did you include? Check all of the boxes that apply.

Make sure that the x-values are spaced apart in equal intervals.

Determine whether the y-values increase by the same amount or by the same ratio.

Decide that the data is linear because the y-values increase by a common difference.

Decide that the data is exponential because the y-values increase by a ratio or factor.

Step-by-step explanation:

i took the test


Related Questions

what is the vertex of y=-x^2+12x-31?????

Answers

ExplanationFormulas for finding the vertex.

[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]

Vertex Form

[tex]y = a{(x - h)}^{2} + k [/tex]

Where the a-term determines how wide, narrow, upward or downward the graph is.

The h-term determines the horizontal shift of graph. (x-axis)

The k-term determines the vertical shift of graph. (y-axis)

The vertex of graph is at (h,k). We can find the vertex by using the given formulas.

Find the vertex

From the equation, the coefficients are:

[tex] \begin{cases} a = - 1 \\ b = 12 \\ c = - 31 \end{cases}[/tex]

Substitute these values in the formulas.

Find the value of h

[tex]h = - \frac{12}{2( - 1)} \\ h = - \frac{12}{ - 2} \\ h = - \frac{ - 6}{1} \longrightarrow - ( - 6) = 6 \\ h = 6[/tex]

Hence, the value of h is 6.

Find the value of k

[tex]k = \frac{4( - 1)( - 31) - {(12)}^{2} }{4( - 1)} \\ k = \frac{124 - 144}{ - 4} \\ k = \frac{ - 20}{ - 4} \longrightarrow \frac{5}{1} = 5 \\ k = 5[/tex]

Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form

Rewrite the equation of vertex form by substituting the value of h and k

[tex]y = a {(x - h)}^{2} + k \\ y = - 1 {(x - 6)}^{2} + 5 \\ y = - {(x - 6)}^{2} + 5[/tex]

Answer

Since the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:

[tex] \large{(h, k)=(6, 5)}[/tex]

(6,5) is the vertex.

1. A café menu has the following choices of cheese and toppings for scrambled
eggs
Scrambled Eggs
Cheeses and Toppings
Cheeses Toppings
Cheddar Bacon
Swiss Mushrooms
Onions
Tomatoes
Which list shows all the different combinations of 1 cheese and 1 topping
that could be used with scrambled eggs?

Answers

Answer:

the top answer in your picture is the right answer

Step-by-step explanation:

i need to find the 9th term of this sequence

Answers

9514 1404 393

Answer:

  26,244

Step-by-step explanation:

The sequence is geometric with a common ratio of -3. The general term is ...

  an = (a1)r^(n-1)

The first term is 4, so we have ...

  an = 4·(-3)^(n-1)

For n=9, we find the 9th term to be ...

  a9 = 4·(-3)^(9-1) = 4·3^8

  a9 = 26,244

_____

Additional comment

When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.

The Twix factory is producing Left and Right Twix, wrapping them separately, and then packaging them into a variety of bags. Each bag contains 25 pieces of candy. The number of Right Twix is three more than the number of Left Twix.

Write a system of equations that represents the situation.

Then solve the system of equations, SHOWING ALL YOUR WORK.

Answers

Answer:

Candies

l = 25b                                       r = b(25 + 3)

Example: b = 10 bags

                l = 25 x 10                                 r = 10(25 + 3)

                l = 250 candies                         r = 10 x 28 = 280 candies

Bags

r = l + 3

Examples:     r = 15 bags                    l = 15 bags

                      15 = l + 3                         r = 15 + 3

                      15 - 3 = l + 3 - 3              r = 18 bags

                      12 bags = l              

I NEED HELP ASAPPP
Fill in the blanks with the correct terms.
a
a) The Pythagorean Theorem works with
triangles
b) in the Pythagorean Theorem equation i a? +62)a' and 'b' represent the
) in the Pythagorean Theorem equation, 'c' stands for the
d) The opposite operation of raising a number to the second power (34) is d
left
hypotenuses
smallest leg
dividing by 2
right
legs
largest leg
multiplying by 2
equilateral
sides
hypotenuse
taking the square root
special
right angles
right angle
subtracting 2

Answers

Answer:

A) right. B) legs. C) hypotenuse. D) taking the square root.

Step-by-step explanation:

I am very familiar with the Pythagorean Theorem.

you can verify my answers by reviewing the Pythagorean theorem

plz mark me brainliest. ;)

26 POINTS !! PLEASE HELP (no fake answers please !)

Answers

The answer is 13 because when you plug it all in you get the answer 24(1/2) is 12 and 2(7) is 14 add them together you get 26 now for the bottom 1/4(8) is 2 so 26 over 2 is 13 100% correct promise

Answer:

13

Step-by-step explanation:

Rysha ran a 5k and finished in 34 minutes. How many minutes did it take for her to run each kilometer?

Answers

Answer:

6 minutes, and 8 seconds

Step-by-step explanation:

You can simply get this answer by dividing .34 by 5.;)

4(3x – 1) – 2(6 + 2x)

Answers

Answer:

12x - 12

Step-by-step explanation:

4(3x)= 12x

-2 x 6 = -12

And since you are taking away 12 it works.

( Have a nice day hope this helps)

Are you simplifying or factoring

please help me =
solve 7+x/3 = 2x-5

Answers

Answer:

x = [tex]\frac{22}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7+x}{3}[/tex] = 2x - 5 ( multiply both sides by 3 to clear the fraction )

7 + x = 3(2x - 5) ← distribute

7 + x = 6x - 15 ( subtract x from both sides )

7 = 5x - 15 ( add 15 to both sides )

22 = 5x ( divide both sides by 5 )

[tex]\frac{22}{5}[/tex] = x ( x = 4.4 )

Solve the following equation for x.
11x– 1 = -89

Answers

Answer:

x = -8

Step-by-step explanation:

11x– 1 = -89

Add 1 to each side

11x– 1+1 = -89+1

11x = -88

Divide each side by 11

11x/11 = -88/11

x = -8

what is the slope of -7,2 and -7,4

Answers

Answer:

The slope is undefined

Step-by-step explanation:

We can find the slope using

m = ( y2-y1)/( x2-x1)

    = (4-2)/( -7 -  -7)

    = (4-2)/( -7 +7)

   = 2 / 0

When we divide by 0, the result is undefined

The slope is undefined

Answer:

Undefined

Step-by-step explanation:

Since there is two points we can use (-7,2) and (-7,4) to find the slope

Slope formula for two points:

y2-y1/x2-x1

4-2/-7+7

Which is

2/0

Since 2/0 is not possible the answer will be undefined

Hope this helps!

An eye doctor charges an exam fee, plus a charge for the number of boxes of contact lenses purchased.
Lindsey had an exam and ordered 2 boxes of contact lenses for $112.97
Josh had an exam and ordered 6 boxes of contact lenses for $272.93
How much is the exam fee?

A$32.99
B$39.99
C$45.49
D$56.49

Answers

Answer:

to get the exam fee

$112•97 ÷ 2

45•49

$272•93 ÷ 3

56•49

An equation is shown below:

5(2x - 8) + 15 = -15

Write the steps you will use to solve the equation and explain each step. i need the steps plzzzz

Answers

Step-by-step explanation:

10x-40+15=-15

10x=-15-15+40

10x=10

x=1

Answer is 1

4.3x - 8.1 + 0.2x -17.5

Answers

Answer:

4.5x-25.6

Step-by-step explanation:

Hey there!

4.3x – 8.1 + 0.2x – 17.5

COMBINE your LIKE TERMS

(4.3x + 0.2x) + (–8.1 – 17.5)

4.3x + 0.2x = 4.5x

–8.1 – 17.5 = –25.6

Answer: 4.5x – 25.6 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

SOLVE RIGHT NOW PLEASE. Determine the solution to the system of equations below by using the ELIMINATION METHOD.
6x+5y=39

3x+5y=27

Answers

Answer: x=4 and y=3

Step-by-step explanation:

We start eliminating the same numbers with the same variable. So we take out 5y on both equation. We then subract 3x to 6x and we do the same to the right side. We end up having 3x=12 and then we divide 12/3=4. We plug 4 on the x values in one of the equation to find out the y value on that equation. You end up with y=3 and then plug that in the same equation on both to see if its right. Finally after that its correct.

Find the product. (2f – 1)^2 =​

Answers

Answer: 4f^2 -4f+1

Step-by-step explanation:

2f-1)^2

This is equal to

(2f-1) * (2f-1)

FOIL

first: 2f*2f = 4f^2

outer: 2f*-1 = -2f

inner: -1*2f = -2f

Last = -1*-1 = 1

Add them together: = 4f^2 -2f-2f+1

Combine like terms 4f^2 -4f+1

Answer:

(2f-1)(2f-1)

2f^2-2f-2f+1

2f^2-4f+1

find the slope of the line

Answers

Answer:

Number 7 is 3/4 and 8 is 4/-3

Step-by-step explanation:You start at the first point and count up to the same line, then count to the left or right (whichever one it is) and thats the slope. slope is always rise over run

Number 7 is 3/4 and 8 is 4/-3

1) Divide £10 into the ratio 2 : 3

Answers

Answer:

£4 and £6

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

So, 2x and 3x are the two parts of £10.

Hence,

2x + 3x = 10

5x = 10

x = 10/5

x = 2

2x = 2*2 = 4

3x = 3*2 = 6

Hence, the two parts of £10 are £4 and £6.

A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?

A triangle with the same height as the pyramid

A square that is smaller than the base

A square that is congruent to the base

A trapezoid that is shorter than the pyramid

Answers

Answer:

I think the answer is a because it not getting any smaller

Answer:

I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.

Step-by-step explanation:

Hakeem left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Hakeem is xx minutes after he left his house, until he got back home.

Answers

Answer:

where is the pic of the graph?

what is the length of side a round to the nearest tenth of an inch.

Answers

Answer:

14.4

Step-by-step explanation:

We can use the pythagorean theorem (a^2 + b^2 = c^2, c being the longest length) to solve this answer.

16^2 - 7^2 = a

256 - 49 = 207.

the square root of 207 is 14.3874...

Rounding to the nearest tenth makes the answer 14.4

Customers can download books from an online bookstore for $8 each after paying $150 for an e-book reader. The total amount of money a customer spends on x books and the e-book reader can found using f(x)=8x+150.
What is the range of f in this situation?
A.All integers greater than or greater to 0
B.All real numbers greater than or equal to 150
C.(150,158,166,174,...)
D.(158,159,160,161,...)

Answers

Answer:C

Step-by-step explanation: (150,158,166,174,...)

Answer:

c

Step-by-step explanation:

it just is

which of the following is not a type of angle
a acute
b obtuse
c parallel
d right

Answers

Answer:

parallel

Step-by-step explanation:

parallel describes lines

the answer is C

Step-by-step explanation:

parallel is not a type of angle

What is the constant in the
expression below?
15 – 4b
A
B
С

Answers

Answer:

15 is the constant

Step-by-step explanation:

Does not have a variable next to it which means it remains a constant

I am equivalent to 5/6
. The sum of my numerator and my denominator is 44. The sum of the digits in my denominator is 6.

Answers

Answer:

20/24

Step-by-step explanation:

If you simplify, you get 5/6.

Because the graph below is misleading, which magazine appears to have about four times the circulation of circuitry today?
a. American Ampersand
b. Waffle all World
c. Fossil Week
d. None of them​

Answers

Answer:

A. American Ampersand

Step-by-step explanation:

Question is asking for what appears to be four times the circulation and American Ampersand appears to be four times the circulation.

Since the graph below is misleading, a magazine which appears to have about four times the circulation of circuitry today is: A. American Ampersand.

What is a graph?

A graph can be defined as a type of chart that is typically used for the graphical representation of data such as magazine circulation in a country, by using both the horizontal and vertical lines, which are called x-axis and y-axis respectively.

By critically observing the misleading graph above, we can deduce that American Ampersand is a magazine which appears to have about four times the circulation of circuitry today because its bar is the smallest among others.

Read more on graphs here: brainly.com/question/25875680

#SPJ2

Maximum and Minimum Values of General Quadratic Functions

1. By expressing y = 2x^2 + 4x + 17 in the form y = a(x + b)^2 + C, where a, b, and c are constants, state the minimum value of y and the value of x at which this occurs. Hence, sketch the curve y = 2x^2 + 4x + 17
x =
y =​

Answers

Answer:

x=-1

y=15

Step-by-step explanation:

This works because completing the square is essentially demonstrating what g(x)  - where g(x) in this case = x^2 - would have to be translated by to give the function you have.

So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.

FIRST TO GET RIGHT GETS BRAINLIEST.

Answers

Answer:

770

Step-by-step explanation:

So start by adding 140 + 70 and then you get 210 and then so you muliply 70*11 and you get 770.      :D

please help me !!!!!​

Answers

Answer:

61 feet

Step-by-step explanation:

We can use the pythagorean theorem to solve this answer (a^2 + b ^2 = c^2, c= longest length)

50^2 + 35^2 = 61.03.

Rounded to the nearest whole number, the answer is D.

Answer:

C

Step-by-step explanation:

It's a right triangle so you can use a squared +b squared =c squared

a and b are the legs of the triangle which in this case are 50 and 25 feet.

Plug them into the equation:

50^2+25^2=c^2

50 squared = 2,500

25 squared = 625

2,500 + 625= 3,125

so c squared is 3,125. To get c you need the square root which is ~55 feet

Z-12=4

what is Z worth?

Answers

Answer:

Z=16

Step-by-step explanation:

just add 12 to both sides so you are left with only Z on one side

Answer:

=16

Step-by-step explanation:

Simplifying

z + -12 = 4

Reorder the terms:

-12 + z = 4

Solving

-12 + z = 4

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + z = 4 + 12

Combine like terms: -12 + 12 = 0

0 + z = 4 + 12

z = 4 + 12

Combine like terms: 4 + 12 = 16

z = 16

Simplifying

z = 16

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