Find the equation of the exponential function represented by the table below:
x y
0 5
1 15
2 45
3 135

y=

Answers

Answer 1

Answer:

y=5·3x

Step-by-step explanation:

x=0, y=5:

5=a·b↑0 a=5

x=1, y=15:

15=5·b↑1

b=15/5=3

Answer 2

The equation of the exponential function is y = 5(3)ˣ

What is an exponential function?

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

x: 0, 1, 2, 3

y: 5, 15, 45, 135

We have to find the exponential equation:

The exponential function in the form:

y = a × b ˣ

y value of x as 0 is 5.

This is the a value in the equation.

The ratio of values between x as 1 and x as 0 is 15/5 which is equal to 3. This is the value of b in the equation.

Therefore, the equation will become:

y = 5 × 3 ˣ

Hence the equation of the exponential function is y = 5(3)ˣ

Learn more about exponential function here:

brainly.com/question/26489523

#SPJ2


Related Questions

If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)

Answers

[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]

The ratio of the number of cupcakes to the number of pastries in a box is 7:2. Which table shows the possible amounts of cupcakes and pastries in a box, given the ratio? (2 points)

Question 1 options:

1)

Cupcakes Pastries
7 2
21 6
42 8
84 10

2)

Cupcakes Pastries
7 2
21 6
28 12
35 24

3)

Cupcakes Pastries
7 2
21 17
42 38
84 80

4)

Cupcakes Pastries
7 2
14 4
28 8
56 16

Answers

Answer:

I wish I could help but I don't know

Answer:

D is correct

Step-by-step explanation:

PLEASE HELP! Economics

Answers

Answer:

C is the answer.

Step-by-step explanation:

the US capital account was in surplus and Japanese current account


The graphs show information about the different journeys of 4 people.

a)
Which graph shows a person running then walking?
b)
Which graph shows a person who forgot something
and had to return home?

Answers

Answer:

A) b

B) c

Step-by-step explanation:

A) a large distance is covered in a short period of time but then the speed decreases

B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again

can someone heelp me plz

Answers

Answer:

1052 is MLII, 450 is CDL, 952 is CMLII, and 942 is CMXLII.

Step-by-step explanation:

For 1052, M=1000 L=50 and II= 2 and if you add all those you get 1052. For 450, CD=400 and L=50 and if you add all those up then you get 450. For 952, CM=900 L=50 and II=2 and if you add all those up then you get 952. For 942, CM=900 XL=40 and II=2, and if you add all those up then you get 942.

A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?

A r-3/5
B r x 3/5
C r+3/5
D ÷3/5

PLEASE HELP ITS STUDY ISLAND

Answers

Answer:

c r/ 3/5

Step-by-step explanation:

i think

Answer this question fast pls

Answers

Answer:

Lemons ( 27 ) = Cups ( 9 )

Cups ( 50) = Lemons (30)

The ratio of ronnys tern, dougs rent and ronalds rent is 4:5:8. Their total rent if $3723. What is the cost of each persons rent

Answers

Answer:

The cost of Ronny is $876, Dough is $1095 and Ronald is $1752.

Step-by-step explanation:

Firstly, make all ratios into units:

Let Ronny = 4 units, Doug = 5 units,

Ronald = 8 units, Total = $3723

4 units + 5 units + 8 units = 17 units

17 units = $3723

1 unit = $3723 ÷ 17

1 unit = $219

Given that 1 unit is equals to $219. Let find the amounts:

Ronny = 4 × 219 = $876

Doug = 5 × 219 = $1095

Ronald = 8 × 219 = $1752

19 /5 as a mixed number

Answers

Answer:

[tex]\frac{19}{5}= 3\frac{4}{5}[/tex]

Step-by-step explanation:

5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.

Write a function in any form that would match the graph shown below

Answers

Answers:

Vertex form:  y = -2(x-1)^2 + 8Standard form: y = -2x^2 + 4x + 6

Pick whichever form you prefer.

=============================================================

Explanation:

The vertex is the highest point in this case, which is located at (1,8).

In general, the vertex is (h,k). So we have h = 1 and k = 8.

One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.

Plug those four values mentioned into the equation below. Solve for 'a'.

y = a(x-h)^2 + k

0 = a(-1-1)^2+8

0 = a(-2)^2+8

0 = 4a+8

4a+8 = 0

4a = -8

a = -8/4

a = -2

The vertex form of this parabola is   y = -2(x-1)^2+8

Expanding that out gets us the following

y = -2(x-1)^2+8

y = -2(x^2-2x+1)+8

y = -2x^2+4x-2+8

y = -2x^2+4x+6 .... equation in standard form

What is 10 plus 5 to the 3 power minus 1? Order of operation

Answers

3374 is the answer.


Hope this helped!! :)

Step-by-step explanation:

(10+5)³-1 = 3375-1 = 3374.

In which quadrant does the angle t lie if tan(t)>0 and cos(t)<0?

A) II
B) IV
C) Cannot be determined
D) III
E) I

Answers

Quadrant is a quarter of a coordinate plane

The location of angle t is in quadrant 3

The trigonometry equations are given as:

tan(t)>0 and cos(t)<0

The cosine of an angle is negative in the following quadrants

Quadrant 2Quadrant 3

The cosine of an angle is positive in the following quadrants

Quadrant 3

The intersection of the above points is quadrant 3

This means that the angle is in quadrant 3

Hence, the true option is (D) III

Read more about quadrants at:

https://brainly.com/question/14450464

Need help please
Will give Brainliest

Answers

Answer:

Step-by-step explanation:

1) Inequality Form: a < 2.9 Interval Notation: ( 2.9 )

2) graph

same as 3, 4, 5

6) Inequality Form: 2 < y < 5 Interval Notation: ( 2 , 5 )

7)

a) 110+92=202+x=c

b) 110+92=202

202+98=300

If right you get brainiest!
A little mermaid can swim 12 miles downstream in the same amount
of time she can swim 8 miles upstream. What is the little mermaid's
speed in still water if the speed of the current is 4 mph?

Answers

Answer:

20 mph

Step-by-step explanation:

time = distance / speed

speed up stream = s - 4

speed down stream = s + 4

time up = time down

8 / (s - 4) = 12 / (s + 4)

cross multiply

8s + 32 = 12s - 48

subtract 8v from both sides

32 = 4s - 48

add 48 to both sides

80 = 4s

Divide both sides by 4

20 = s

20mph

How many equal parts are there in this image

Answers

Answer:

6

It's kind of blury, so I can't really see it.

Answer:

4

Step-by-step explanation:

What is the equation in slope-intercept form of the line that passes through the points (-4, 6) and (-2,5) ?
y=20 - 8
y=-30+4
y=-22 +4
y = -x + 8

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-4)}}}\implies \cfrac{-1}{-2+4}\implies \cfrac{-1}{2}\implies -\cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{-\cfrac{1}{2}}[x-\stackrel{x_1}{(-4)}] \\\\\\ y-6=-\cfrac{1}{2}(x+4)\implies y-6=-\cfrac{1}{2}x-2\implies \underset{\textit{slope-intercept form}}{y=-\cfrac{1}{2}x+4}[/tex]

Which set of side lengths will form a triangle
A: 16ft, 4ft, 21ft
B: 30ft, 30ft, 60ft
C: 12ft, 12ft, 20ft
D: 3ft, 5ft, 10ft
PLS HELP

Answers

Answer:

the set of side lengths will be d

Interest and fees
the total cost of a credit purchase.
A. maintain
O B. decrease
C. do not affect
D. increase

Answers

Answer:

D. increase

Step-by-step explanation

Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.

Answer:

B

Step-by-step explanation:

Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!

Find the point on the line y=x that is closest to the point (-4,8)

Answers

Answer:

(2,2)

Step-by-step explanation:

Hi. can you help me?

Answers

Answer:

Sure

Step-by-step explanation:

First you need to ____

Next you need to ____

Last, put nothing

That's what you did, so I helped you out.

Is dis good

i- I think you forgot to put the picture.

Help me with this answer please​

Answers

Answer:

£6.25

Step-by-step explanation:

2.25 x 15 = 33.75

40 - 33.75 = 6.25

Answer:

£6.25

Step-by-step explanation:

Hii,

So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75

To get change, you need to take away the amount you are giving by how much the bill is.

£40 - £33.75 = £6.25

I hope this helped :P

What is the missing length?

Answers

The missing length is 51.5, I hope this helps :)

Answer:

Length=12mi

Step-by-step explanation:

Area=123.6mi^3

Width=10.3mi

Length=u

Formula: Area=LxW

Area÷W=u

123.6÷10.3=12

Length=12mi

Hope this helps :)

The first recorded Olympic game began in 776 called the Asian Olympics games were held every four hours until being abolished by the Roman emperor Theodosius in 393 determine the length of time between the start of the ancient Olympics and the modern Olympics which began in 1896

Answers

Answer:

1503 years

Step-by-step explanation:

Although the ancient Games were staged in Olympia, Greece, from 776 BC through 393 AD, it took 1503 years for the Olympics to return. The first modern Olympics were held in Athens, Greece, in 1896.

The staff at a company went from 40 to 29 employees. What was the percent change in the number of staff?

Answers

Answer: 27.5% decrease in the staff

Step-by-step explanation:

Which of the following is equivalent to the expression 2/5 divided by 4 ?


A


5/2×4



B
2/5



C
2/5×1/4



D
2/5÷1/4

Answers

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

Find the argument of the complex number 2 = 4+ 3i to the nearest whole degree.​

Answers

Using it's formula, it is found that the argument of the complex number z = 4+ 3i is of 37º.

The standard format of a complex number is:

[tex]z = a + bi[/tex]

In which:

a is the real part.b is the imaginary part.

The argument is given by:

[tex]\theta = \tan^{-1}\left(\frac{b}{a}\right)[/tex]

In this problem, the number is:

[tex]z = 4 + 3i[/tex]

Hence, [tex]a = 4, b = 3[/tex], and:

[tex]\theta = \tan^{-1}\left(\frac{3}{4}\right) = 37[/tex]

For more on the argument of a complex number, you can take a look at https://brainly.com/question/4569130

Please help me find my gpa I don’t know how

I have a C, A, B the rest are f

Answers

Answer:

Your GPA would be 1.5 If you have 6 periods.

Step-by-step explanation:

A = 4 GPA Points

B = 3 GPA points

C = 2 GPA Points

D = 1 GPA Points

F = 0 GPA Points

With that knowledge you calculate 2 (C) + 4 (A) + 3 (B) + 0 (F) + 0 (F)  + 0 (F) assuming you have 6 periods which adds up to 9. You divide  by the number of periods (6) totaling to 1.5 GPA Points.

HELPPP LAST ATTEMPT!!

Answers

Answer:

B' (-1,-5)

Step-by-step explanation:

When it is reflected over the y-axis, the y coordinate stays the same but the x coordinate inverses. In this situation since the x in point B is a positive, the x in point B' will be a negative.

(-1,5)

since it’s being translated over the y axis the only coordinate that’s changing would be the x coordinate. when it’s translated over it would be the opposite to the original point. (positive original point would become a negative point after translated)
hope this helps!

write 90 cm as percentage of a metre??​

Answers

Answer: 90%

Step-by-step explanation:

90 cm is 0.9 m

and 0.9 m is 90% of 1 m

90% is your answer sorry if wrong

Can someone answer this for me?

Thanks!

Answers

Hiii :))

Answer is in the attachment.

Identity used :-

1) cosec² α = 1 + cot² α

Trigonometric Ratio :-

1) cot 30° = √3

_____

Reddam is an expensive school, right?

RainbowSalt2222 ☔

Answer:

hello :-D

Step-by-step explanation:

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