Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 19)(0,19) and (3, 9728)(3,9728).

Answers

Answer 1

Answer:

y = 19*(8)^x

Step-by-step explanation:

We want to write an equation like:

y = a*b^x

That goes through the points (0, 19) and (3, 9728)

Then, when x = 0, we must have y = 19

Replacing those values in the equation we get:

19 = a*b^0 = a*1 = a

19 = a

Then the equation is:

y = 19*b^x

We also know that when x = 3, y = 9728

If we replace these values in the equation, we get:

9728 = 19*(b)^3

Let's solve this for b.

9728/19 = b^3

512 = b^3

∛512 = b = 8

Then the equation is:

y = 19*(8)^x


Related Questions

What is the value of s?
C
units
5
B
8
15
А.
D

Answers

Answer:

S= 17

Step-by-step explanation:

Δ ABD is a right angle

[tex]S^{2} =8^{2}+15^{2}[/tex]

[tex]S=\sqrt{8^{2}+15^{2} }[/tex]

[tex]S=\sqrt{64+225} =\sqrt{289}[/tex]

[tex]S=17[/tex]

hope it helps...

have a great day!!

A toy store manager boxes up dice. Each die weighs the same number of grams and the equation y=20x represents the total weight, y, in grams, of a box when filled with x die. Which graph correctly represents the proportional relationship between the weight and number of die in a box?

Answers

Jjjjjjjjjjjjjjjjjjjjjjjhuuuuiikk

4 people are going to a dinner party. Each person at
the party will eat pound of cake. If you can only buy
whole pounds of cake, how many pounds should you
buy?​

Answers

Answer:

92 pounds

Step-by-step explanation:

Here is the complete question ;

4 people are going to a dinner party. Each person at the party will eat 23 pound of cake. If you can only buy whole pounds of cake, how many pounds should you buy?

total pounds to be bought = number of people at the party x total pounds they would eat

4 x 23 = 92 pounds

The price of a watch was increased by 20% to £162.
What was the price before the increase?

Answers

Answer: = £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135.

Hope this helps!

The Jacksons are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and 5-year loan from two different lenders. Complete each table to calculate the total repayment and interest paid for each loan offer.

Answers

Answer:

look at the screenshot

Step-by-step explanation:

look at the screenshot

The table for total repayment and interest paid for each loan offer:

Loan offer Interest rate Total repayment Total interest paid

1-year loan 6.5%         $37,275                 $2,275

5-year loan 8.2%         $41,570                 $6,570

What is simple interest?

Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).

Formula;    Simple Interest(I) =  P × R × T/100

For the 1-year loan, the total repayment and total interest paid can be calculated as follows:

Total repayment = Principal + Interest = $35,000 + (0.065 x $35,000)

                                                               = $37,275

Total interest paid = $37,275 - $35,000

                               = $2,275

For the 5-year loan, the total repayment and total interest paid can be calculated as follows:

Total repayment = Principal + Interest

                            = $35,000 + (0.082 x $35,000 x 5)                

                            = $41,570

Total interest paid = $41,570 - $35,000 = $6,570

Loan offer Interest rate Total repayment Total interest paid

1-year loan 6.5%         $37,275                 $2,275

5-year loan 8.2%         $41,570                 $6,570

To know more about Interest check:

brainly.com/question/29480777

#SPJ7

You roll a 6-sided die two times. What is the probability of rolling 1 and then rolling a 2

Answers

Don’t answer for Luigoshow

A $500 snowboard is on sale for 20% off so there is an 8% sales tax Wade has $425 does he have enough to purchase to snowboard yes or no

Answers

Answer:

that is$ 160 ok alright jf

No because even with 20% off she still wouldn’t have enough to buy it

which equation has solutions of -2 and 3?
A. y= x^2+x-6
B. y= x^2-x-6
C. y=x^2 +5x+6
D. y=x^2-5x+6​

Answers

Answer:

b. y= x^2-x-6

Step-by-step explanation:

i hope this helps :)

Mary saw a bottle of shampoo that cost $7.75 and a bottle of conditioner that cost $5.90.

Estimate the price difference between the conditioner and the shampoo.

Answers

Answer:

$1.85

Step-by-step explanation:

Math is my problem help me

Answers

Answer:

on the second one you put 5 basketballs and four baseballs

on the third one you in think your gonna put the same thing as the first one

I am not sure about the last sorry in advance

ughhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

b

Step-by-step explanation:

that means she could have

3 males

2 males then a female

or a male, then a female, then a male again.

but same goes for female

what is 189 divided by 82???

Answers

2

8 2 | 1 8 9

1 6 4

2 5

Therefore, 180 divided by 82 = 2 with a remainder of 25

2 with a remainder of 25

Decimal form = 2.304878

Area of a kite assistance

Answers

It’s 5.7ft
Explain: I’m smart

i need help with this

Answers

with what????????????

I need help please help me!
(06.01)

Which point on the scatter plot is an outlier? (4 points)

A scatter plot is shown. Point I is located at 2 and 1, Point K is located at 2 and 5, Point J is located at 7 and 4, Point H is located at 8 and 1. Additional points are located at 1 and 7, 4 and 5, 4 and 6, 5 and 3, 7 and 2.
Group of answer choices

Point H

Point I

Point J

Point K

Answers

Answer:

k

Step-by-step explanation:

don't know

Will mark brainliest

Answers

Answer:

The width is 2.

Step-by-step explanation:

The equation is 2 x 3 x ? = 12.

It is 2 long

It is 3 in height

2 x 3 = 6

6 x 2 = 12

so 2 is the width.

Slope of the line pls helpppppp

Answers

Answer:

[tex] slope(m) = \frac{3}{2} [/tex]

Step-by-step explanation:

Slope (m) = change in y / change in x = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use any two pairs of values to find the slope. Thus, let's use (-14, 3) and (-12, 6):

Where,

[tex] (-14, 3) = (x_1, y_1) [/tex]

[tex] (-12, 6) = (x_2, y_2) [/tex]

Plug in the values

[tex] m = \frac{6 - 3}{-12 -(-14)} [/tex]

[tex] m = \frac{3}{2} [/tex]

La funcion que representa el beneficio obtenido por una empresa si vende x unidades de uno de sus productos es f(x)= -70x^2+2800x-45000. ¿cuantas unidades tiene que vender para maximizar sus beneficios?

Answers

Answer:

[tex]20[/tex]

Step-by-step explanation:

La función es

[tex]f(x)=-70x^2+2800x-45000[/tex]

Diferenciando con respecto a [tex]x[/tex] obtenemos

[tex]f'(x)=-140x+2800[/tex]

Igualar con cero

[tex]0=-140x+2800\\\Rightarrow x=\dfrac{2800}{140}\\\Rightarrow x=20[/tex]

Doble derivada de la función

[tex]f''(x)=-140<0[/tex]

Entonces, la función es máxima cuando el número de unidades vendidas,  [tex]x=20[/tex],

ayudaaa se los agradeceria

Answers

Answer:

-2

Step-by-step explanation:

since the base are the same you add the exponent.

4x+2 + 2x-1= -3x-17

4x+2x +3x =-17-2+1

9x =-18

x=-2

convert 1024 into base five numeral system​

Answers

The answer should be 10:24 as stated in above

Please I need help ASAP ;-;

Image is above

What is the area of the shaded region?

_____ Square units

Answers

Answer:

164

Step-by-step explanation:

Because 12 times 16 minus 18

96 ft is the answer ....

HELP
what is 3^9 x 3^5?

Answers

4782969 is the answer

Answer:

[tex]3^{14}[/tex] or 4,782,969

Step-by-step explanation:

Note that the base are the same (3). In this case, when you are multiplying, add the powers together:

[tex]3^9 * 3^5 = 3^{9 + 5} = 3^{14}[/tex].

~

how do I work it out ?

Answers

Answer:

x - y = 5

Explanation:

As you can see in the first problem the ration is x to y = 8 to 3. This means for every 8 x values, there are 3 y values. Therefore, x - y should be the same as 8 - 3, which is 5.

this is the third time and i a really annoyed as i am having my time wasted and points
plz help me

Answers

Answer: A) 20.9 ; B) 34years

Step-by-step explanation:

Given the following :

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

A)

MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY

F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11

MEAN(X) = 230 / 11

X = 20.9

B)

WHEN A NEW PLAYER WAS ADDED :

MEAN (X) = 22

Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

Alisha hiked a trail that was 9/10 mile and Joseph hiked a trail that was 5/10 mile. How much farther did Alisha hike than Joseph?

Answers

Answer:

4/10 or 2/5 of a mile more.

Step-by-step explanation:

Since the denominators are the same, all you have to do is subtract the numerators.

9-5=10.

Therefore, Alisha hiked 2/5 of a mile further than Joseph.

pls help? :( brainliest if correct

Which two figures have the same number of bases?

A. cylinder and cone
B. triangular pyramid and cone
C. cone and triangular prism
D. triangular pyramid and cylinder

Answers

Answer:

Option C is the Correct Answer

Cone and triangular prism

solve the system of equations -4x- y = -18 and 2x + 3y = 24 by combining the equations

Answers

Answer:

x = 3

y = 6

Step-by-step explanation:

-4x- y = -18

2x + 3y = 24 (Multiply everything by 2)

-4x - y = -18

4x + 6y = 48

5y = 30

y = 6

-4x- y = -18

-4x - 6 = -18

-4x = -12

x = 3

there are rational numbers that are integers / true or false

Answers

This is a true statement.

Answer:

True

Step-by-step explanation:

hope it helps

Graph the equation.
y= - 2x + 4

Answers

a point on the y-axis at positive 4

for the rest of the points go right 1 down 2

and left 1 up 2

What are all of step to get 3m+4=1

Answers

Answer:

Step-by-step explanation:

3m=-3

m=1

Answer:

m = -1

Step-by-step explanation:

3m + 4 = 1

subtract 4 from each side of the equation:

3m + 4 - 4 = 1 - 4

3m = -3

divide both sides by 3:

3m/3 = -3/3

m = -1

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