The data in the table can be modeled using an exponential function.

x | -1 | 0 | 1 | 2 | 3 |
y | 4 | 6 | 9 | 13.5 | 20.25 |

Based on the table, which function represents the same relationship?

A.) f(x) = 6 x 1.5^x
B.) f(x) = 0.67^x
C.) f(x) = 4 x 1.5^x
D.) f(x) = 6 x 0.67^x

Answers

Answer 1

Answer:

A

Step-by-step explanation:

You can plug in the x and y coordinates of the points to check which one is right.

The easiest point to start with is (0, 6).

[tex]A) 6=6*1.5^0\\B) 6=0.67^0\\C) 6=4*1.5^0\\D) 6=6*0.67^0[/tex]

Any number raised to the power of 0 is 1, so we can replace all of the exponents with 1.

[tex]A) 6=6\\B) 6=1\\C) 6=4\\D) 6=6[/tex]

That means we can immediately rule out B and C, since 6 clearly does not equal 1 or 4.

But since we still don't have our answer, we can plug in another point. Once again, you want to start with low, easy numbers, so let's plug in (1, 9).

[tex]A) 9=6*1.5^1\\D) 9=6*0.67^1[/tex]

Any number raised to the power of 1 is the same number:

[tex]A) 9=6*1.5\\D) 9=6*0.67[/tex]

Now we can multiply out both sides:

[tex]A) 9=9\\D)9=4[/tex]

Once again, it becomes immediately clear that D does not work, and A is therefore the correct equation.


Related Questions

Please help (explain it)

Answers

Answer:

The y-intercept is 2 because it is on the y-axis. The y-intercept is located on the y-axis.

a toy manufacturer estimates that 16% of its products are defective. if it produces 550 toys in one day, how many will be defective?

Answers

Answer:

88 toys

Step-by-step explanation:

If 16 percent of them are defective we want to multiply 550 by .16. This gets you 88.

The average number of customers that visited a particular store during the past year is 200 per day and a standard deviation of 25 customers per day. The probability that x>200 is:

Answers

Answer:

0.5

Step-by-step explanation:

Considering we are given a mean and standard deviation, the distribution of the data is likely to be a normal or Gaussian distribution, i.e. a symmetrical, bell-shaped distribution of probability density, peaked at the mean;

Such a distribution has 0.5 probability each side of the mean;

So, if the mean is 200 then, the probability that the number of customers is greater than 200 (x > 200), according to this mean, is 0.5;

As a normal distribution is symmetrical, this is also the probability of a number of customers less than 200.

pls help answer don't understand

Answers

Answer:

1.1

Step-by-step explanation:

square root of 1.19- 1.09087...- rounded to 1.1

Answer:

it is 1.1

you should use calculator

Step-by-step explanation:

:)


What is the midpoint of the segment below?

Answers

Answer:

A. (0,2)

Step-by-step explanation:

solve for x. 3x+9=15x-5. show work

Answers

Sol:

3x-15x=-5-9

or,-12x=-14

or,x=14/12

or,x=1.667

so, x=1.667

Answer:

[tex]3x+9=15x-5[/tex]

[tex]3x+9-9=15x-5-9[/tex]

[tex]3x=15x-14[/tex]

[tex]3x-15x=15x-14-15x[/tex]

[tex]-12x=-14[/tex]

[tex]\frac{-12x}{-12}=\frac{-14}{-12}[/tex]

[tex]x=\frac{7}{6}[/tex]

or

[tex]x=1.1666[/tex]

х
у
-11
-3
-1
-3
0
9
un lwin
13
21
Which function best represents the relationship shown in the graph? 8.51
А
1
y -x + 1
B
y = 4x - 1
C y = x + 4
Dy = 4x + 1

Answers

The answer is D because 4 times -3 is -12 plus 1 is -11 and y is -11.

A shipping box should weigh 2.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Question 2 options: 0.1 pound to 0.9 pound 1.1 pounds to 2.2 pounds 1.9 pounds to 2.1 pounds 2.0 pounds to 2.1 pounds

Answers

Answer:

2

lb

,

0.05

a

,

2

,

0.1

lb

,

0.99

lb

2

,

4.18

lb

2

,

4.2

lb

2

,

2.1

lb

Step-by-step explanation:

While reviewing last month's finances, Oscar noticed that he had spent $200 on a wedding cake and deposited $500 that he had earned from selling books to a used bookstore. ​ ​Then, he again spent $127 to buy some new books. Which integer represents the change in Oscar's savings?

Answers

Answer:

$173

Step-by-step explanation:

Given the following :

Amount spent on wedding cake = $200

Amount deposited = $500

Amount spent on new books = $127

Change in savings :

Amount deposited - total amount spent

Total amount spent = ($200 + $127).= $327

Hence,

Change in saving = $500 - $327

= $173

I am in 8th grade and i need help on Pre Algebra could you help me?

Answers

Answer:

Sure, what do you need help on?

. Paul plans to have a rectangular garden adjacent to his garage. He will use 36 feet of fence to
enclose three sides of the garden. The area of the garden, in square feet, can be modeled by
w) - W(36 - 2w), where w is the width in feet,
(a) On the set of axes below, sketch the graph of f(w)

Answers

The area of the garden is the product of its width and its length

How to plot the graph of f(w)?

The given parameters are:

Perimeter = 36 feet

f(w) = w(36 - 2w)

The second expression above represents a function whose input is w; i.e. function w or f(w)

Next, we plot the graph of f(w) using a graphing calculator

See attachment for the graph of f(w)

Read more about areas at:

https://brainly.com/question/24487155

Joni climbed 230 feet up a hill and then rappelled down 300 feet into a valley.

Write an addition expression to represent the situation

Answers

Answer:

230-300= -70

All you have to do is subtract :)

what fraction is equal to 1.5?

Answers

Answer:3/2

Step-by-step explanation:

100 POINTS!!!

If you have a line parallel to the line given by the equation


what would be the slope of the parallel line?


EXPLAIN

Answers

Answer:

The first choice

Step-by-step explanation:

The slope of a line parallel to the original line is the same. Also, a slope does not have x after it.

What the person on top said

if p is q and q is r which statement must be true
A.S is p
B.R is p
C. p is s
D. P is R

Answers

Answer: D

Step-by-step explanation:

Answer:p is r

Step-by-step explanation:

14. The referee at a college football game is standing 12 yards behind the ball. The
back judge is standing 22 yards in front of the ball. The field judge is standing
exactly halfway between them. Using coordinates to model the situation, find
how far in front of the ball the field judge is. Explain.

Answers

Using coordinates, the field judge is exactly 5 yards in front of the ball.

What are coordinates?

These are values that show the position of an object, these values often include a number for the x-axis (horizontal axis) and one for the y-axis (vertical axis).

What are the positions of the referee, the back judge, and the field judge?

If we consider the ball as 0 or the starting point the coordinates are:

Referee (12, 0)Back judge (-22,0)

Field judge y-axis = 0 because all of them are at the ground levelx- axis = 12 + 22 = 34/2 = 17x- axis =-22+17= -5=x-axis= -5 or 5 yards in front of the ball.

Learn more about coordinates in: https://brainly.com/question/13140132

C
5 mi
12 mi
What is the length of the hypotenuse?
C =
miles

Answers

12 squared plus 5 squared equals C squared

144+25=169

Square root of 169 is the answer

C= 13 mi

A family paid $21,600 as a down payment for a home. If this represents 12% of the price of the home find the price of the home.​

Answers

21, 600 = 12 /100 x X.

21,600 x 100/12 = X

180,000 = X

The big Xs are X, and the small xs are times.

Hope this helps.


4. If the area of a rectangle is 6 m2, then the dimensions must be 2 meters by 3 meters. oh

Answers

Answer:

False.

Step-by-step explanation:

The formula that is used to find the area of a rectangle is given by :

A = l×b

Where,

l is length and b is breadth

If area of a rectangle is 6m², it means we need to find the factors of 6. The factors of 6 are 2 and 3. If we multiply 2 and 3, we get 6.

Other possibility can be 1 m by 6 m because if we muliply 1 m and 6 m, we get 6m².

It means there are more than one possibiliy about the length and breadth of the rectangle.

Hence, the given statement is not true.

What is (184730248764874252034*9748242241036484916485)\(9489258234569786578024628435672046*72386438952467922592641964870)+(892187341935496495*2873937610)+(903781)?

Answers

i cant tell if thats a real question or not but ahhhhh thats a big number

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

it 40 super easy

Step-by-step explanation:

A pre-paid cell phone plan has a flat rate of $15 with an additional cost of $0.15 per
minute. At most, how many minutes can Chelsea purchase if she has $35?
Write an inequality for this statement, write out 3 values that would make the inequality true

Answers

Answer:

anything less than 133 would be true

Step-by-step explanation:

35 ≥ 0.15m + 15

solve for m

subtract 15 from both sides

20  ≥ 0.15m

divide both sides by 0.15

133.33  ≥ m

m cannot be more than 133 minutes

How do you factor m^2+6m-7

Answers

Answer:

Your answer is: (m-1) (m+7)

Step-by-step explanation:

Hope this helped : )

Find the sum of the measures of the interior
angles of a convex 70-gon.

Answers

The sum of interior angles of a polygon with n sides is 180*(n-2)
Therefore, for this question,
n=70
the sum of interior angles=180*(70-2)=180*68=12240 degree
Pls mark me as the Brainliest as I really need it!

At the end of a snow storm, Elijah saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 18 inches of snow on the lawn when the storm ended and then it started melting at a rate of 1.5 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Elijah's lawn, in inches, t hours after the snow stopped falling.

Answers

Answer:

S = 18 - 1.5t

Step-by-step explanation:

The initial value is 18 inches

The rate of change is -1.5 inches per hour

t is the number of hours

S = 18 - 1.5t

This figure has two intersecting lines and a ray. What is the value of x?




108°


72°


19°


37°

Answers

Answer: The answer is 37

Step-by-step explanation:

If you subtract 71 from 108 the answer is 37

Since the angles of (x + 71)º is opposite to the same vertex to the angle of 108º, it is found that x = 37º.

The ray generated two angles, xº and 71º.Adding these angles, there is an angle of (x + 71)º, which is opposite to the same vertex to the angle of 108º, meaning that they have the same measure.

Applying the equality:

[tex]x + 71 = 108[/tex]

[tex]x = 108 - 71[/tex]

[tex]x = 37[/tex]

Thus, x = 37º.

A similar problem is given at https://brainly.com/question/16742265

What happens if the red lines are NOT parallel. Which angle types are still congruent?(please help)

Answers

Answer:

If they are not parallel they will cross.

The angle types that are still congruent are the angles that are the same size.

Step-by-step explanation:

Parallel lines never cross but non parallel lines cross.

Could I please have BRAINLIEST?

Answer:

vertical ?

Step-by-step explanation:

sorry if wrong :')

Yara have two rectangular gardens in her backyard the smaller garden is 1/2 foot long and 2/3 foot wide the larger Garden is 4 feet long and 5 feet wide what is the area of the small garden in square feet what is the area of the large garden in square feet

Answers

Given that :

Area of a rectangle is : A = l×b

For smaller garden,

Length, l = [tex]\dfrac{1}{2}\ \text{foot}[/tex]

Width, [tex]b=\dfrac{2}{3}\ \text{foot}[/tex]

Area of a smaller garden is :

[tex]A=\dfrac{1}{2}\times \dfrac{2}{3}\\\\A=0.34\ \text{foot}^2[/tex]

For larger garden,

length, l' = 4 feet

Width, b' = 5 feet

Area of a larger garden is :

[tex]A'=l'\times b'\\\\A'=4\times 5\\\\A'=20\ \text{feet}^2[/tex]

So, the area of a smaller garden is 0.34 sq ft and that of a larger garden is 20 sq ft.

Given that ∠2 ≅ ∠6.

Which theorem proves that line d is parallel to line e.
Alternate interior angle theorem


Converse of the alternate interior angle theorem


Alternate Exterior angle theorem


Converse of the alternate exterior angle theorem

Answers

Answer:

Converse of the alternate exterior angle theorem

Step-by-step explanation:

just took the test ;)

The theorem that proves that lines d and e are parallel to each other, given that <2 is congruent to <6 is: D. Converse of the alternate exterior angle theorem

When a transversal cuts across two parallel lines, there are special angles formed having relationship with each other.

For two lines to be parallel, such relationship must exist. That is what a converse theorem seeks to prove.

We are told that <2 is congruent to <6.

Both angles are exterior angles that also lie opposite each other along the transversal. That makes them alternate exterior angles.

<2 will be congruent to <6 if lines d and le are parallel to each other.

Therefore, the theorem that proves that lines d and e are parallel to each other, given that <2 is congruent to <6 is: D. Converse of the alternate exterior angle theorem

Learn more here:

https://brainly.com/question/10565830

Use the algebra tiles to model x - 2.
Then choose the answer that describes the correct
tiles.
O one blue x tile and two orange + tiles
o
one orange x tile and two blue – tiles
O one blue x tile and two blue – tiles
one orange x tile and two orange + tiles

Answers

Answer:

The answer is B.

Step-by-step explanation:

took the assignment :P

Answer:

It is B. I took the test

and the guy above me is also correct.

Have a nice day!! :D


Can someone help me with this please 1/4(5x+16/3)-2/4(3/4x+1/2)=-5.

Answers

X= - 146/21

Hope this help
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