find the equation of the exponential function represented by the table below
x y
0 3

1 9

2 27

3 81

Answers

Answer 1

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)


Related Questions

A store pays $58 for a rocking chair. The store marks up the price by 50%. What is the new price?​

Answers

Answer:

$87

Step-by-step explanation:

58×50٪=29

58+29=87

Yanyiah has m dollars. If Erica has 2 times as many dollars as Yanyiah minus 3 dollars, write an expression for how much money Erica has.

Answers

Answer: Erica has 2m-3 dollars

Step-by-step explanation:

Amount of dollars Yanyiah has = m dollars =$m

Erica has 2 times as many dollars as Yanyiah minus 3 dollars, can be expressed as =(2m-3)dollars,

We can therefore say Erica has 2m-3 dollars.

determined that intercepts of the line.

y - intercepts: ( , )

x - intercepts: ( , )

Answers

Answer:

y    0.4

x    0.3

Step-by-step explanation:

Justin has a savings account. He started with $70 in his account, he deposits $15 into the account each week. What is the total amount Justin will have in his account after 10 weeks?
ANSWER TODAY PLEASE (there is a photo of the question aswell... and brainly question links also... cause those brainly question links also need answering today aswell)
other needed answered today brainly questions:
https://brainly.com/question/22828757
https://brainly.com/question/22829066
https://brainly.com/question/22830469
(NO LINKS, UNDERSTAND... IM GETTING QUITE TIRED OF FLAGGING VIRUS LINKS)
(MAKE SURE YOU ANSWER... I DONT WANT TO HAVE WASTED ANSWERING SPACES)

A) $85.00

B) $150.00

C) $155.00

D) $220.00

IF ANSWERED CORRECTLY AND WITHOUT A LINK YOU WILL GET BRAINLY AND FIVE STARS... IF ANSWERED INCORRECTLY BUT STILL WITHOUT A LINK YOULL GET THREE STARS... IF ANSWERED WITH A LINK YOULL GET ONE STAR AND A FLAG

Ω Entity001 And Project Omega Ω

Answers

weekly = 15 week = 10

[tex]10 \times 15 = 150 + 70 = 220[/tex]

Justin will have $220 amount in his account

The freezing point of oxygen is about -218°C. The freezing point of phosphorous is about 262 C higher. What is the
approximate freezing point of phosphorous
11 ?

Answers

Answer:

44.1°C

Step-by-step explanation:

This tetratomic vapor condenses to liquid white phosphorus which freezes at 44.1°C to solid white phosphorus, a soft, waxy, colorless material.

what is the equation of the line that passes through the point (-2,-6) and has a slope of -1/2

Answers

Answer:

y=-1/2x-7

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=-1/2(x-(-2))

y+6=-1/2(x+2)

y=-1/2x-2/2-6

y=-1/2x-1-6

y=-1/2x-7

The point at which seismic waves from an earthquake reach the surface is called the ____________.

Answers

Answer:

Seismic waves carry energy from an earthquake away from the focus, through Earth's interior, and across the surface. ... Surface waves- when S and P waves reach the surface they become surface waves. Surface waves move slower than P and S waves but they can produce severe ground movements.

Step-by-step explanation:

can i has brainliest

Answer:

I think it is epicenter

Step-by-step explanation:

I need this solved! FAST! thank you

Answers

Answer:

188.24  (rounded)--- 188.2

Step-by-step explanation:

You want to first find the area of all the the different shapes you have...

you have 2 semicircles   A=  πr²/2    (because it is /2 you don't really need that because in the end you are going to *2 so just make the equation A= πr²)

you have a rectangle A= b*h

you have a triangle A = b*h/2

Semicircles:  A= πr²   =     (3.14) 4²   =  (3.14*16)           =      50.24

rectangle:  A = b*h     =      12*8              =      96

Triangle:   A = b*h/2         =   12 * 7/2         =      84/2        =       42

then you add them up

50.24 + 96 + 42

= 188.24

Find the Surface area of the following figure:

9 yd
8 yd
10 yd
6 yd

A) 274 yd?
C) 291 yd
B) 264 y
D) 240 yd

Answers

The answer is
B) 264 y
Hope this information helps.

Don has 6 pieces of pipe. Each piece is 3 feet 4 inches long.
If Don joins the pieces end to end to make one long pipe, how long will the new pipe be?
The pipe will be
feet
inches long.

Answers

3 feet 6 inches is equal to 3.5 feet

3.5*5=17.5 feet

or 17 feet and 6 inches

What is 4 divided by 1/4

Answers

There you go hope this helps

sixteen because if u but a 1 under neath the 4 then cross up and multiply 4×4 is 16 then1×1 is 1 so ur answer would be 16

50 POINTS! HYPOTENUSE TRIANGLE!!! Uh Thank You!!!​

Answers

Answer:

x = 7.55

Step-by-step explanation:

Pythagorean Formula:

a² + b² = c²

Given:

a = x

b = 8

c = 11

Work:

a² + b² = c²

x² + 8² = 11²

x² + 64 = 121

x² = 121-64

x² = 57

[tex]\sqrt{x^2} =\sqrt{57}[/tex]

x = 7.55

y=x2-8x-3 standard to vertex form

Answers

Answer:

y = (x - 4)² - 19

Step-by-step explanation:

Standard form of quadratic function:

y = ax² + bx + c

Vertex form:

y = (x - h)² + k

Convert the given function by completing a square:

y = x² - 8x - 3 =

     x² - 2*4*x + 4² - 4² - 3 =

    (x - 4)² - 19

Today only, a table is being sold at a 24% discount. The sale price is 475$ What was the price yesterday?

Answers

Answer      $625:

Step-by-step explanation:

Since the discount is 24% that means that   $475 is 76% of the total

X is the 100% of the price (before sale)

475...............76%

x..........................100%

cross multiplication

76x  =  475x100

76x = 47500

Divide both sides by 76

x= 625

Nathaly lost 29 cups of sugar by accidentally spilling it all over the floor after she cleaned it up,she asked her neighbor she could borrow some.the neightbor could only spare 18 3/4 cups of sugar.nathly took that then asked another neighbor if she could borrow some. The neighbor could only
spare 18 3⁄4 cups of sugar. Nathaly took that and asked another neighbor who gave her 6
1⁄2 cups. How much more will Nathaly need to replace the sugar she spilled?

Answers

She needs 3 3/4 cups more

Step-by-step explanation:

(I think you accidently put the 18 3/4 part twice) but anyways if you add 3/4 and 1/2 you get 1 and 1/4 that will be important later then you do 18 + 6 = 24 and then add your 1 and 1/4 to get a total of 25 1/4 then you just minus that from 29 and get 3 and 3/4

Hope this Helps!

Can you please help me

Answers

Answer:

50

Step-by-step explanation:

Angle 1 is inside a triangle. Angles in a triangle add up to 180.

Angle 1 = 180 - 90 - 40 = 50.

Angle 2 is on a straight line (180 degrees), shared with angle 1. Therefore, angle 2 is 180 - Angle 1 = 130. Angle 3 and 4 can be calculated the same way Angle 2 was calculated (1=3, 2=4).

Angle 5 is 180 - 90 - Angle 3 which is 180-90-50 which is 40.

Angle 6 is 180 - Angle 5 = 180 - 40 = 140.

Angle 8 is the same as Angle 6

Finally, Angle 7 is 180-90 = 90.

Hope that helped!

put the following equation of a line into slope-intercept form, simplifying all fractions 16x - 4y = -20

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

16x - 4y = - 20 ( subtract 16x from both sides )

- 4y = - 16x - 20 ( divide terms by - 4 )

y = 4x + 5 ← in slope- intercept form

The equation of a line into slope-intercept form is [tex]y = 4x + 5[/tex].

What is the slope of line?

The slope of a line gives the measure of its steepness and direction.

The slope of a straight line between two points says [tex](x_1,y_1),(x_2,y_2)[/tex] and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter ‘[tex]m[/tex]’.

As we know that, the equation of a line in slope- intercept form is

[tex]y = mx + c[/tex]

where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.

So,

[tex]16x - 4y = - 20\\\\-4y=-20-16x\\\\-4y=-(16x+20)\\\\4y=16x+20\\\\y=\frac{16x}{4}+\frac{20}{4}\\\\y=4x+5[/tex]

Hence, the equation of a line into slope-intercept form is [tex]y = 4x + 5[/tex].

To know more about the slope of line

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CAN SOMEONE PLEASE HELP!!!!!!

Answers

Answer:

x is 2....

Hope it helps!!!

Put these numbers in order from least to greatest: 8.21 8.7 8.84 9.1

Answers

Answer: 8.21, 8.7, 8.84, 9.1

Step-by-step explanation:

44+39+7=
6-42+2=
7(10)+4=
360÷60=
1an 3/4+ 2 an 5/8=
3an4/6-2/5=
4/5x2an 1/2=
4/5÷1/5=
14.89+32=
4(1.4)+10=
PLZ SHOW WORK

Answers

4:6 4’7 4:7 because 4 is into the 15

Use the graph that shows the solution to f(x)=g(x) what is the solutions to f(x)=g(x)

Answers

Answer:

2 and -2

Step-by-step explanation:

Start with x ^ 2 - 6x + 8 = 0 and complete the squarewhat is the equivalent equation A) (x + 3) ^ 2 = 1 B) (x + 3) ^ 2 = 9 (x - 3) ^ 2 = 1 D) (x - 3) ^ 2 = 9

Answers

Answer:

C. (x - 3)² = 1

Step-by-step explanation:

Given;

x² - 6x  + 8 = 0

Using completing the square method, the equation above is solved as follows;

x² - 6x  = - 8

Half the coefficient of 'x' (-6), square the result and add it to both sides of the equation;

Half of coefficient of x (-6) = ¹/₂ (-6)  = -3

x² + (-3)² = -8 + (-3)²

(x - 3)² = -8 + 9

(x - 3)² = 1

Thus, the correct option is 'C'

C. (x - 3)² = 1

How many faces does this figure have?
O two
O three
O four
O five

Answers

Answer:

Three

Step-by-step explanation:

So to count the number of faces, you look for how many flat sides the the figure  has. Looking at the shape, you see that it has a face on top, on the bottom, to the left and to the right, on the front and at the back.

The given figure has five faces, option D is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a triangular prism

A triangular prism is a three-dimensional geometric shape that has two congruent triangular bases and three rectangular faces connecting them. Since each triangular base has one face, there are two faces that are triangular.

Additionally, there are three rectangular faces that connect the triangular bases.

Therefore, a triangular prism has five faces in total.

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Determine the measure of the area of
a sector of 90° in a circle whose
diameter measures 13 centimeters

Answers

Answer:

Area of sector = 132.78 cm² (Approx.)

Step-by-step explanation:

Given:

Angle created by sector = 90°

Diameter of circle = 13 centimeters

Find:

Area of sector

Computation:

Radius of sector = Diameter of circle / 2

Radius of sector = 13 / 2

Radius of sector = 6.5 centimeters

Area of sector = [θ/360]πr²

Area of sector = [90/360][22/7][13]²

Area of sector = [1/4][22/7][169]

Area of sector = [0.25][3.1428][169]

Area of sector = 132.78 cm² (Approx.)

Help? I need the right answers.

Answers

Answer:

Horizontal line of symmetry

Vertical line of symmetry

Rotational symmetry

Diagonal line of symmetry  

Step-by-step explanation:

Write an exponential function to model each situation. Then find the value of the function after the given amount of time. $35,000 invested at a rate of 6% compounded monthly; 10 years.

Answers

Answer:

this so hard

Step-by-step explanation:

Please help me with this question ASAP

Answers

Answer:

Volume: 30

SA: 62

LA: 42

Step-by-step explanation:

Volume: V=l*w*h= 3*2*5= 30

SA: 2(lw+lh+wh)= 62

LA= 2h(l+w)= 42

Answer:

multiply each side for the answer

Step-by-step explanation:

:> hope you pass!

can some one pls help

Answers

Answer:

3√3ut³

Step-by-step explanation:

3√3ut³ is the correct answer

Help me with this one please

Answers

Answer:

15

Step-by-step explanation:

a² + b² = c²

9² + 12² = c²

81 + 144 = c²

c² = 225

[tex]\sqrt{c^2} =\sqrt{225}[/tex]

c = 15

A toy box is 4 feet long, 24 inches wide and 30 inches high. What is the volume of the
toy box in cubic feet?

Answers

Answer:

2880

Step-by-step explanation:

volume formula: l×w×h

multiply all and you get 2880

Answer:

The answer is 20 feet and/or 34560 inches

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