Find an exponential function of the form y = ab* that passes through the points (0,4)
and (2, 100).
Oy=5-4x
Oy=4.5*
Oy-4-2*+84
Oy-25-2x

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

given an exponential function in the form y = a[tex]b^{x}[/tex]

to find a and b use the coordinate points it passes through

using (0, 4 ) , then

4 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , that is

a = 4 , so

y = 4[tex]b^{x}[/tex]

using (2, 100 )

100 = 4b² ( divide both sides by 4 )

25 = b² ( take the square root of both sides )

[tex]\sqrt{25}[/tex] = b , that is

b = 5

then exponential function is

y = 4 . [tex]5^{x}[/tex]


Related Questions

PLEASE HELP ASAP!!!! WILL GIVE BRAINIEST TO BEST ANSWER!

Answers

Answer:

63√6 cm

Explanation:

Perimeter is the total measure of all sides.

Solve:

15√6 + 12√54 + 6√24

factorize

15√6 + 12√6(9) + 6√6(4)

apply radical rule: √ab = √a √b

15√6 + 12√6 √9 + 6√6 √4

simplify

15√6 + 12(3)√6 + 6(2)√6

multiply

15√6 + 36√6 + 12√6

add similar terms

63√6

Answer:

63√6 cm

Step-by-step explanation:

Perimeter : Sum of the sides

15√6 cm is already in simplest form6√24 = 6√(4 × 6) = 6 x 2 x √6 = 12√6 cm12√54 = 12√(9 x 6) = 12 x 3 x √6 = 36√6 cm

Perimeter

15√6 + 12√6 + 36√627√6 + 36√663√6 cm

if a type of salami at the deli costs 1.59 per 100 g how much will you pay for 350 g? pls help and explain how to do it

Answers

Answer:

[tex]\huge\boxed{\sf 350\ g\ salami = 5.565}[/tex]

Step-by-step explanation:

From the question:

100 g salami = 1.59

Divide 100 to both sides

1 g salami = 1.59/100

1 g salami = 0.0159

Multiply both sides by 350

350 g salami = 0.0159 × 350

350 g salami = 5.565

[tex]\rule[225]{225}{2}[/tex]

last year the hiking club had 19 members. this year there are 37 members in the club. estimate the percetnage change in the number of club members

Answers

About 190% because its almost two times the original number

I hope that answers your question

Helen bought 5 pounds of oranges. She sliced

2 pounds of oranges to bring to a party. How

many pounds of oranges does Helen have left?

Answers

Answer:

3 oranges

Step-by-step explanation:

Helen has 5 pounds of oranges

2 pounds of oranges are brought to a party, so they are gone

5-2 = 3

Helen will only have 3 oranges left.

nearest whole number of
3÷80.81 ​

Answers

Answer:

0.04

Step-by-step explanation:

3÷80.81= 0.037

to the nearest whole number = 0.04

6 1/2 + 5 7/8 what is the answer?

Answers

Answer:

12 3/8

Step-by-step explanation:

6 1/2 + 5 7/8 =

= 6 4/8 + 5 7/8

= 11 11/8

= 11 + 8/8 + 3/8

= 11 + 1 + 3/8

= 12 3/8

PLEASE HELP! WILL GIVE BRAINLIEST

Answers

Answer:

See below ~

Step-by-step explanation:

The equation which represents 1/12 :

1 ÷ 12 = ___

The division equation which represents 1/14 :

1 ÷ 14 = ___

Answer:

Question 3:

C) 1 divided by 12 _

Question 4:

A) 1 divided by 14 _

A race car is equipped with jets that can make it go from 0 to 64 mph (about 28 m/s) in 4 seconds. What is the acceleration of the car using its jets? ​

Answers

Answer:

So that it can run faster

Answer:

[tex]a = change \: in \: v \div time[/tex]

Step-by-step explanation:

Change in V =28-0

=28

time =4 sec

Therefore acceleration =28 ÷4

7m/s^-2

Evita is solving the system of equations shown using the elimination method. first equation: 3x+8y=20 second equation: 5x−2y=4 what operation will eliminate one of the variables?

a. multiply the first equation by 2

b. multiply the first equation by 4

c and multiply the second equation by 2

d. multiply the second equation by 4

Answers

Answer:

d. multiply the second equation by 4

If x^2 - 6xy = z - 9y^2, make x the subject of the formula

Answers

[tex]~~~~x^2-6xy=z-9y^2\\\\\implies x^2- 2\cdot x\cdot 3y + (3y)^2 - (3y)^2 = z-9y^2\\ \\\implies (x-3y)^2 -9y^2 = z-9y^2\\\\\implies (x-3y)^2 = z\\\\\implies x - 3y =\pm\sqrt z\\\\\implies x = 3y\pm\sqrt z[/tex]

The lengrh of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the function W(x) = 2x^2 - 4x + 13. Which of the following shows the area of the rectangle in terms of x?

Answers

Step-by-step explanation:

just multiply the 2 together to get the area

it would just be

[tex](5x) \times (2{x}^{2} - 4x + 13)[/tex]

use the distributive property

[tex]10 {x}^{3} - 20 {x}^{2} + 65[/tex]

unless you want to simplify the answer, this would be the answer

simplified, it would be

[tex]5(2{x}^{3} - 4 {x}^{2} + 13)[/tex]

Find the root of the equation 2x (x -8)=(x + 1)(2x – 3).

Answers

Answer: 1/5

Step-by-step explanation:

The root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4. To find the root of the equation 2x(x - 8) = (x + 1)(2x - 3), we need to solve for the value of "x" that makes both sides of the equation equal.

First, let's expand both sides of the equation:

2x(x - 8) = (x + 1)(2x - 3)

[tex]2x^2 - 16x = 2x^2 - x - 3x + 3[/tex]

Now, combine like terms on the right-hand side:

[tex]2x^2 - 16x = 2x^2 - 4x + 3[/tex]

Next, subtract [tex]2x^2[/tex] from both sides to get the x terms on one side:

-16x = -4x + 3

Now, bring all the x terms to one side by subtracting -4x from both sides:

-16x + 4x = 3

Simplify the left-hand side:

-12x = 3

Finally, solve for x by dividing both sides by -12:

x = 3 / -12

x = -1/4

So, the root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4.

To know more about root:

https://brainly.com/question/24764920

#SPJ2



Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005. The table gives the number of tickets sold for each

concert. Select the points that represent this data.

Year

Tickets Sold

(thousands)

10

2000

2001

10

2002

20

2003

40

2004

55

2005

70

90

80

70

(so

Answers

The points which represent the data in the table for Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005 are selected on graph.

How to read the data from the table?

Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005.

The table gives the number of tickets sold for each concert. Select the points that represent this data.

Tickets Sold (thousands)   Year       10                                        200010                                        200120                                       200240                                       200355                                       200470                                       2005

The graph which represent the data in the data is attached below year wise.

For the first point, select the value 10 on graph vertically at year 2000. Similarly, select all the points on the graph for the table.

Thus, the points which represent the data in the table for Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005 are selected on the graph.

Learn more about the data table here;

https://brainly.com/question/15602982

#SPJ1

:)

Mariam sells tires for $90 each and a service plan for $50. One customer

pays $410 for some tires and the service plan. Which equation represents

how many tires, t, the customer purchased?

A 410 = 50 + 90t

B 410 = 90 + 50t

© 410 = 50t + 90

D 410 = 90(4t) + 50

Answers

Answer:

the answer is A

Step-by-step explanation:

410 is the total amount paid

so 50 dollars was a base fee for the service charge

and 90 was per tire. Because we dont know how many tires she bought 90 x number of tires(t) = 90t

so 410 dollars = 50 dollars(service fee) + 90 dollars ( multilied by number of tires "t")

Jill Barley obtained a 25-year, $145,117 mortgage loan from University Savings and Loan Association. The
interest rate is 6 percent. The monthly payment is $1,800.00. For the first payment, what is he interest?

Answers

Answer:

175,424.02

Step-by-step explanation:

multiply 145,117 by 106%

multiply 1800 by 12 (months in a year)

add 21600 to 153,824.02

Complete the statement using <, >, or =.

55% of 60 __ 60% of 65

Answers

Answer:

Less than(<)

55% of 60 is 33

60% of 65 is 39

when solving problems with percentage, always multiply x, your decimal form of the percentage, by y, the often whole number part you are multiplying the percentage by.

[tex]0.55 * 60 = 33\\0.60 * 65 = 39[/tex]

note that if the percentage is for example 30%, it will be 0.3, while if it were 3%, it would be 0.03 to avoid confusion.

That said, the answer is less than.

Find the volume of a right circular cone that has a height of 8.9 ft and a base with a radius of 14.3 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

1905.9 cubic feet

Step-by-step explanation:

Use the formula for a volume of a cone - 1/3 * pi * radius^2 * height

Find volume of a cone - 1/3 * pi * 14.3^2 * 8.9 = 1905.8587024733 cubic feet

Round to nearest tenth - 1905.9 cubic feet

:)

A cone has a base with a diameter of
12 inches and a height of 15 inches. What
is the volume of the cone in
cubic inches
using 3.14 for 77?

Answers

Answer:

452.16 in^3

Step-by-step explanation:

Volume of a cone = 1/3 pi r^2 h

                               = 1/3 (3.14)(6^2) (12)

Which is the equation in slope-intercept form for the line that passes through (−1, 5) and is parallel to 3x + 2y = 4? y=−32x+72 y=23x+72 y=−23x+72 y=32x−72

Which is the equation in slope-intercept form for the line that passes through (−2, 15) and is perpendicular to 2x + 3y = 4?


y=32x+18

y=32x−12

y=23x+18

y=−32x+18


Which best describes the relationship between the lines?


2x – y = −1


4x – 2y = 6


parallel


same line


neither


perpendicular

Answers

1. The equation in slope-intercept form is: y = -3/2x + 7/2

2. y = -3/2x - 18

3. Both lines have the same slope, they are therefore parallel.

What is the Equation in Slope-intercept Form for Parallel Lines?

Two lines that are parallel will have the same slope (m), and is represented by the equation in slope-intercept form as, y = mx + b.

1. Rewrite 3x + 2y = 4 in slope-intercept form:

2y = -3x + 4

y = -3x/2 + 4/2

y = -3/2x + 2

The slope is -3/2. Therefore, the slope (m) of the line that passes through (-1, 5) would be -3/2.

Substitute m = -3/2, and (a, b) = (-1, 5) into y - b = m(x - a):

y - 5 = -3/2(x - (-1))

y - 5 = -3/2(x + 1)

Rewrite in slope-intercept form:

2(y - 5) = -3(x + 1)

2y - 10 = -3x - 3

2y = -3x - 3 + 10

2y = -3x + 7

y = -3x/2 + 7/2

y = -3/2x + 7/2

2. The slopes of perpendicular lines are negative reciprocal to each other.

Rewrite 2x + 3y = 4

3y = -2x + 4

y = -2/3x + 4/3

The slope of the ine that passes (-2, 15) would be -3/2.

Substitute (a, b) = (-2, 15), and m = -3/2 into y - b = m(x - a):

y - 15 = -3/2(x - (-2))

y - 15 = -3/2x - 3

y = -3/2x - 3 - 15

y = -3/2x - 18

Therefore, the equation in slope-intercept form of the line that passes through (-2, 15) is: y = -3/2x - 18.

3. Given the equations, 2x – y = −1 and 4x – 2y = 6:

Rewrite in slope-intercept form and find their slope

2x - y = -1

-y = -2x - 1

y = 2x + 1 (slope if 2)

4x - 2y = 6

-2y = -4x + 6

y = -4x/-2 + 6/-2

y = 2x - 3 (slope is 2)

Both lines are therefore, parallel.

Learn more about slope of parallel lines on:

https://brainly.com/question/10790818

#SPJ1

A committee of four is chosen at random from a group of 8 women and 5 men. Find the probability that the committee contains at least one man. Answer:

Answers

Answer: 5/13 or ≈0.38

Explanation:
Using the key word ‘probability’, eliminate the usage of permutation and combination formula.

Probability = favorable/total

total = 8 women + 5 men
= 13 people

favorable = 5 men

P(1 man) = 5/13

Convert the units to the nearest tenth.
Enter the correct answer in the box.
Show Hints
kilometers = 50 miles

Answers

Answer:

80.5

Step-by-step explanation:

Which function is modeled in this table

X

f(x)

1

1000

2

800

3

640

4

512

Answers

Answer:

[tex]f(x)=1250*(\frac{4}{5})^x[/tex]

Step-by-step explanation:

BIG QUESTION, 100 POINTS
Line p contains point (6, -5) and is perpendicular to line q. The equation for line q is y = 3x + 5. Write an equation for line p.
Find the slope of line q.
Find the slope of line p. (Write the negative reciprocal of the slope you found in Part I.)
Use the point given for line p and the slope you found in Part II to write an equation for line p in point-slope form: y - y1 = m (x - x1)
Use your equation from Part III to write an equation for line p in slope-intercept form: y = mx + b. Show your work.

Answers

Answer:

[tex]\textsf{Slope of line q}: \quad 3[/tex]

[tex]\textsf{Slope of line p}:\quad -\dfrac{1}{3}[/tex]

[tex]\textsf{Equation of line p in slope-point form}: \quad y+5=-\dfrac{1}{3}(x-6)[/tex]

[tex]\textsf{Equation of line p in slope-intercept form}: \quad y=-\dfrac{1}{3}x-3[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y = mx + b[/tex]

(where m is the slope and b is the y-intercept)

Given:

line q:  y = 3x + 5

Therefore, the slope of line q is 3.

As line p is perpendicular to line q, the slope of line p is the negative reciprocal of the slope of line q.

Therefore, the slope of line p is -1/3

Equation of line p, using the point-slope form, the slope of -1/3 and the point (6, -5):

[tex]\begin{aligned}y-y_1 &=m(x-x_1)\\\implies y-(-5) &=-\dfrac{1}{3}(x-6)\\y+5 &=-\dfrac{1}{3}(x-6)\end{aligned}[/tex]

Simplify to slope-intercept form:

[tex]\implies y=-\dfrac{1}{3}x-3[/tex]

y=3x+5

Slope of q:-

m=3

Perpendicular line's have slopes negative reciprocal to each other

Slope of p

-1/3

Passes through (6,-5)

Equation in point slope form

y+5=-1/3(x-6)3y+15=-x+63y=-x-9y=-1/3x-3

What is 800divided by the a times the 9 3 times?

Answers

Answer:

21600/a

Step-by-step explanation:

800/a *9

7200/a

21600/a

First, times 800 divided by a by 9.

Then, we get 7200/a.

Lastly, times it by 3.

The answer is 21600/a

Sussy mcsuser
  Poop noobs

Can someone help me with this problem?

Answers

Answer:

yes

Step-by-step explanation:

4:8 and 3:6 when simplified gives the same result which is 1:2

Answer:

A.) Yes, they do catch fish at the same rate.


Daniel:
4 : 8


Lester:
3 : 6



Both of these ratios have a rate of 1 catfish for every 2 trout. Daniel has just caught 1 more catfish and 2 more trout.

4 - 1 = 3
8 - 2 = 6

Both have a rate of catching 1 catfish for every 2 trout.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER
IMAGE BELOW

Answers

Answer:

[tex]\sqrt{51[/tex]

Step-by-step explanation:

6^2 + 8^2 = y^2 (Pythag)

100 = y^2

10 = y

7^2 + x^2= 10^2

49+ x^2 = 10^2

x^2 = 51

What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
a.) -15/2
b.) -2/15
c.) 2/15
d.) 15/2

Answers

Answer:

65 - 80 = -15

7 - 5 = 2

which is -15/2

which is A

a) -15/2 is your answer hope this helps!!

please help fast I dont know the answer

Answers

The answer is 1360in^2
hope this helps

can someone please help me with this!!!!

Answers

The scale factor is 5/4 or 1 1/4

Find the equation of a line perpendicular to y = 4 + x that passes through the
point (-3, 3).

Answers

Answer:

y=-1/4x+9/4

Step-by-step explanation:

Get slope of the line first (to find slope that is perpendicular, get the negative reciprocal)

4 turns into -1/4

To get the y-intercept, plug in the given coordinate values into this formula:

y=mx+b

3=-3(-1/4)+b

3-3/4=b

b=9/4

b is our y-intercept

9/4 is our y-intercept

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = 4 + x\implies y = \stackrel{\stackrel{m}{\downarrow }}{1}x+4\qquad \impliedby \begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}[/tex]

so therefore

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies\cfrac{1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{1}\implies -1}}[/tex]

so we're really looking for the equation of a line whose slope is -1 and passes through (-3 , 3)

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -1 \\\\\\ \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}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-3=-(x+3)\implies y-3 = -x-3\implies y = -x[/tex]

Other Questions
How does your business connect with and support your community?. Describe pioneer species in your own words. Why is the Northern Hemisphere warmer when tilted to the sun? I will give BRAINILEST Help me with this math problem please Do the clownfish and the sea anemone work with each other or against each other to survive?. Need help ASAP! 5th grade math, will give brainliest! c: (you may want to attach a photo to show your work!) Earnings from a financial investment, usually stated as an annual percentagerate are:O risks.expenses.O dividends.O returns. HELP PLEASE GIVING POINTS Rewrite as a single logarithm: 3 log b x+4 log b y Pedro found a treasure map that said to take 12 steps north, then 8 steps south. Where is Steve in relationship to where he started? If a marble is randomly chosen from a bag thay contains exactly 8 red marbles, 6 blue marbles, and 6 white marbles, what is the probability that the marble will not be white? It would be great if someone can help me, please. I have a huge bad grade in math and need help What is the full form of MPEG?The full form for MPEG is ________. Joan Mir tuvo xito con sus obras de colores vivos, especialmente el azul, rojo, amarillo, verde y negro. Se puede ver la influencia de Dal y Picasso en sus cuadros. Las pinturas se destacan por sus lneas acentuadas; las formas y figuras orgnicas son las marcas de su estilo con algunos toques del surrealismo. Los sujetos se reducen a puntos, lneas y explosiones de color.El artista era muy conocido por sus obras influidas por el movimiento del ________. cubismo expresionismo realismo impresionismo In the equation 4x4=16, 4 is a: What river did Mexico believe was the border between US-Mexico? Which quotation from the poem "Ellis Island" supports the theme "Immigration to America did not answer everyones dreams?a. Lands of those who followed / the changing Moon, b. I too come to this island, / nine decades the answerer / of dreams.c. my grandparents / waited the long days of quarantine, / after leaving the sickness,d. Lands invaded / when the earth became owned. YOU HEAR: Quin llama a tu madre todos los das?YOU WRITE: Yo la llamo todos los das. Vector V is shown in the graph below.HELP!Which of the following represents the linear form of v?v= -6i -8jv= -8i-6jv= 6i +8jv= 8i +6j Steam Workshop Downloader