Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (4, 7203)(4,7203).

Answers

Answer 1

Answer:

[tex]y = 3(7)^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (4,7203)[/tex]

Required

Determine an exponential function

Substitute 0 for x and 3 for y in [tex]y=ab^x[/tex]

[tex]3 = ab^0[/tex]

[tex]3 = a*1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Substitute 4 for x and 7203 for y in [tex]y=ab^x[/tex]

[tex]7203= ab^4[/tex]

Substitute 3 for a

[tex]7203= 3*b^4[/tex]

Divide both sides by 3

[tex]2401= b^4[/tex]

Take 4th root of both sides

[tex]\sqrt[4]{2401} = b[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Substitute 3 for a and 7 for b in [tex]y=ab^x[/tex]

[tex]y = 3(7)^x[/tex]


Related Questions

helppp! doing test!!

Answers

Answer:

Can you show more of the question?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Basically, division. divide 85.60 by 4 in order to get each hour.

Please help i will give brainly FIRST PERSON TO GET IT RIGHT EVERY TIME I POST A QUESTION YOU WILL ALWAYS GET BRAINLY

Answers

What he said


Hope this helped

the wavelength of yellow light in a spectrum is about 0.000002 inches​

Answers

Answer:

the answer is C:

[tex]2 \times 10 { - }^{4} [/tex]

Step-by-step explanation:

I hope this helps! ^^

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Which expression is equivalent n + n - 0.24n?​

Answers

Answer:

Without seeing the expressions that you can choose from, I can't tell you which one is correct, but I can tell you that n + n - 0.24n is equal to 1.76n

What is the volume of the right triangular prism shown?

get it right for brainlist

Answers

Answer:

V = 567 yd³

Step-by-step explanation:

V = [tex]\frac{1}{2}a c h\\[/tex]

V = [tex]\frac{1}{2}(9)(6)(21)\\[/tex]

V = 567 yd³

Stephanie is saving money to buy a bike that costs $189. She has saved $99 so far. She plans on saving $10 each week. How many weeks will it take for her to save enough money for the bike? Write an equation. Use x to represent the number of weeks

Answers

Answer:

189=99+10x, it will take her 9 weeks to save up enough

Step-by-step explanation:

Answer:

189 = 99 + 10x

Step-by-step explanation:

189 = 99 + 10x

-99 -99

90 = 10x

/10

9 = x

Jan walks 2 miles at a constant rate of 3 miles per hour and then runs 1 mile at a constant rate of 8 miles per hour.

(a) What is Jan’s average speed for the entire trip?
(b) Is the average speed in part (a) equal to the average of Jan’s two speeds?

Answers

Answer:

(a).4.36 mph

(b) No

Step-by-step explanation:

We are given that

Jan covered distance,s1 =2 miles

Speed of Jan, a=3 mph

s2=1 mile

b=8mph

a.

We have to find the Jan' s average speed for the entire trip.

Average speed =[tex]\frac{2ab}{a+b}[/tex]

Using the formula

Average speed=[tex]\frac{2(3)(8)}{3+8}=4.36mph[/tex]

b.

Average speed with two speed

Average of Jan’s two speeds

[tex]=\frac{a+b}{2}[/tex]

=[tex]\frac{3+8}{2}=5.5 mph[/tex]

[tex]4.36\neq 5.5[/tex]

Hence, the average speed in part (a) is not equal to the average of Jan’s two speeds.



A chemist needs to mix 6 parts acid to 7 parts base for a reaction. If they need a total of 52mL (milliliters) of reaction, how many mL
of acid and base are needed?

Answers

Answer:

24 millilitres acid

28 millilitres base

Step-by-step explanation:

First, we need to know how many parts there are in total. We do this by adding the number of parts of acid (6) and base (7). 6+7=13

Then, divide 52 by 13 to find out how many millilitres makes up a part.

52/13=4

Then you multiply this by the number of parts for each substance.

4x6=24 millilitres acid

4x7=28 millitres base

Will mark brainliest and rate 5/5 if answered right.

Answers

Answer:

a. [tex]s^2 - \frac{1}{4}s^2\pi[/tex]

b. [tex]100-25\pi[/tex]

Step-by-step explanation:

The shaded area is the area of the square minus the area of the circle, so it is [tex]s^2 - \frac{1}{4}s^2\pi[/tex], because s is the diameter of the circle. Filling in s = 10 gives us that the shaded area equals [tex]100-25\pi[/tex].

ABCD is a parallelogram. solve for x
a) 2
b)22
c)24
d)48

Answers

Answer:

b) 22

Step-by-step explanation:

180 = (4x+12) + (3x+14)

180 = 7x + 26

7x = 154

x=22

i honestly forgot how to solve this ​

Answers

Answer:

c must be -4

Step-by-step explanation:

x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.

The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.

Substituting -5 for b and 1 for a, we get:

(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16.  Thus, c must be -4, and the quadratic is

x^2 - 5x - 4

help pls I will give brainliest to whoever answers best​

Answers

Step-by-step explanation:

its 60

HELP ME WITH THIS ASAP PLEASE I WILL PUT FIRST ANSWER AS BRAINLIEST!!!

Answers

Answer:

A

Step-by-step explanation:

You only need one admission ticket, so there is no need to have a variable with it. She golfed multiple rounds, so you need a variable by $6.25. You are adding the charges together so you need an addition symbol.

Hope this helps!

Write a small statement to convince others of the importance of food safety

Answers

Answer:

Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.

13 points so please help meee with a and b!

Answers

Answer:

(a)

$24.10,

$18.20,

$15.25,

$9.35,

$0.50,

(b)

b=30-2.95g

Step-by-step explanation:

Answer: a) 2:24.10 4:18.20 5:15.25 7:9.35 10:.50

b) b=30-2.95g

The size of each interior angle of a regular polygon is 11 times the size of each exterior angle. Work out how many sides the polygon has. (just give the number)

Answers

Answer:

24

Step-by-step explanation:

Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.

On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.

How was triangle A translated?
four units left
four units right
six units left
six units right

Answers

Answer: D is correct

Step-by-step explanation: Got a 100% on my test

The translation of triangle A is (d) six units right

The translation from triangle A to B

Translation involves changing the position of a shape

From the question, we understand that:

Triangle A represents the pre-imageTriangle A is shifted to the right by 6 units

This means that, triangle A was translated by 6 units to the right

Hence, the true statement is (d)

Read more about translation at:

https://brainly.com/question/4289712

You spin a spinner numbered from 1 to 8 twice​. Find the probability of getting a 1 on the first spin and a 2 on the second spin.

Answers

Answer:

[tex]Probability = \frac{1}{64}[/tex]

Step-by-step explanation:

The sample space of the spinner is:

[tex]Sample\ Space = \{1,2,3,4,5,6,7,8\}[/tex]

So:

[tex]n(S)= 8[/tex]

All of which have the same probability.

Required

Determine the probability of 1, then 2 when spin twice

The probability of the first being 1 is:

[tex]P(1)= n(1)/n(S)[/tex]

[tex]P(1)= 1/8[/tex]

The probability of the second being 2 is:

[tex]P(2)= n(2)/n(S)[/tex]

[tex]P(2)= 1/8[/tex]

So, the required probability is:

[tex]Probability = P(1) * P(2)[/tex]

[tex]Probability =1/8* 1/8[/tex]

[tex]Probability = \frac{1}{64}[/tex]

Four divided by what number equals 12?

Answers

Answer:1/3

Step-by-step explanation:

Answer:

1/3 or 0.3333

Step-by-step explanation:

[tex]\frac{4}{x} =12[/tex]

[tex]4 = 12x[/tex]

[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]

Four divided by 1/3 equals 12.

Which point is labeled at (-2, 3)?

Answers

Answer:

G

Step-by-step explanation:

if you glance at -2 and go up positive three

Find the value of x so that the function has the given value.

n ( x ) = 4x + 15; n ( x ) =7


plz help

Answers

Answer:

n(x)=4x+15;n(x)=7

n(7)=4(7)+15

=》n(7)=28+15

28+15=43

n(7)=43

7=4x+15
-8=4x
x=-2

hope this helps !

Solve for x: x/7 - 3 ≥ 8.

Answers

Answer:

x is more than or equal to 77

Step-by-step explanation:

The area of a rectangle is at most 400 square centimeters. Write an inequality to represent the possible values for the height, h, for the height. The length is 16cm for one side

Answers

Answer:

1ft≤h≤25ft

Step-by-step explanation:

The area of a rectangle is expressed as;

Area = Length * height

A = Lh

If the area of a rectangle is at most 400 square centimeter, this is expressed as;

A ≤400

≤ means at most i.e it can not be greater than 400

Lh ≤ 400

Given L = 16

16h ≤ 400

h ≤ 400/16

h ≤ 25

Hence the possible values of the height are with the range 1ft≤h≤25ft since the dimension can not be negative

I need help fast



The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. Mary's seat is located at the point (- 4, 7) and Betty's seat is located at (- 2, 5) . How far is it from Mary's seat to Betty's seat?

Answers

Answer:

2.83 units diagonally

2 units horizontally and 2 units vertically

Step-by-step explanation:

x position difference      -2-(-4)=2

y position difference       7-5=2

2 units horizontally and 2 units vertically on a graph

2^2+2^2=8

sq rt 8=2.83 units

A new barber shop just opened up in your neighborhood. You can buy two haircuts for $10 or six haircuts for $22. Is the cost a proportional or non-proportional relationship?

Answers

Answer:it is non proportional

Step-by-step explanation:

Tommy makes $200,000 per year. Tommy's monthly taxes are 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes. What is Tommy's monthly Take Home Pay?

Answers

Answer: $‭13,925‬

Step-by-step explanation:

Tommy makes $200,000 per year.

He then has to pay taxes of 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes.

His total taxes are therefore:

= 10% + 4.2% + 1.75% + 0.5%

= 16.45%

Taxes in dollars are:

= Monthly salary * taxes

= (200,000/12 months) * 16.45%

= $2,741.67

Monthly take home pay:

= Monthly salary - monthly tax

= 200,000 / 12 months - 2,741.67

= 16,666.67 - 2,741.67

= $‭13,925‬

Which equation represents a proportional relationship?



y = 5x + 1

y=−5(x+1)

y=
1
5x


y=−x

Answers

y=-5(x+1) is proportional you can simply find this out by going to desmos and it’ll allow you to input an equation and you can see how it aligns

i need help asapp i’ll be giving a brainliest to the person with the correct answer

Answers

Are they correct? Is that the question? Well, the first one is correct because Slope (m) = -6/1 =-6

Equation of the line:

y = -6x + 15

When x=0, y = 15

When y=0, x = 2.5

and the other one:

Is incorrect and the correct answer is A because y= 7.5x -2. 7.5 is positive, the slope, and -2 is the y-intercept. Its negative.

the triangles below are similar. find the value of the variable m

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

:) Have a good day!

Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1

Answers

Answer:

Its a or c sorry if im wrong

(hope this helps :D hehe)

Step-by-step explanation:

Answer:

Please insert a graph.

Step-by-step explanation:

If you submit a picture of the graph on here, I will see how how I can help.

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