The graph of an exponential function passes through (2,−12) and (3,−24). Find the exponential function that describes the graph.

Answers

Answer 1

no fancy math here, just some reasoning with words. I just feel like it

for one step in x-direction the value of the function doubles, so the common factor is 2.

so let's trace it back

(1,-6)

(0, -3)

For an exponential function the y-intercept is the "initial value".

do let's write is as a function

[tex]y = - 3 \times {2}^{x} [/tex]

you could also use the points and plug their numbers into the general formula, but I felt this explanation could give you more understanding, since it's meant to be more intuitive.

hope it helps


Related Questions

GIVING OUT BRAINLIEST HELP PLEASE ❤️

Answers

Answer:

C

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. Tony bought a new car at a cost of $20,000. The value of the car decreases by approximately 12% each year. Formulate the equation that gives the value, A(+), of the car xyears since Tony bought the car. A(t)-​

Answers

9514 1404 393

Answer:

  A(x) = 20000(0.88)^x

Step-by-step explanation:

The general form of these exponential equations is ...

  A(x) = a·b^x

where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.

The growth factor is ...

  growth factor = 1 + growth rate

Here, the growth rate per year is -12%, so the growth factor is ...

  b = 1 -12% = 88% = 0.88

Of course, the initial value is a=20,000, so the equation is ...

  A(x) = 20000(0.88)^x

How many ways can a person toss a coin 16 times so that the number of heads is between 7 and 14 inclusive

Answers

Answer:

50626 ways with a probability of 0.77

Step-by-step explanation:

If a coin is tossed once, there are two possible results - a head or a tail. i.e 2¹ = 2

If the coin is tossed twice, there are four possible results - 4 heads no tail, 4 tails no head, 1 head 3tails or 2 heads 2 tails. That is 2² = 4

If the coin is tossed thrice, there are eight possible results. That is 2³ = 8.

Now, if the coin is tossed 16 times, there are 2¹⁶ = 65536 likely results.

From these 16 tosses, let's calculate the number of ways of achieving or selecting 7, 8, 9, 10, 11, 12, 13 or 14 heads. We use the combination formula given as follows;

Cₙ, ₓ = n! ÷ [ (n-x)! (x)! ]

Where;

n = number of tosses

x = number of selection

number of ways of getting 7 heads;

n = 16

x = 7

=> C₁₆, ₇ = 16! ÷ [ (16-7)! (7)! ]

=> C₁₆, ₇ = 16! ÷ [ (9)! (7)! ]

=> C₁₆, ₇ = 11440

number of ways of getting 8 heads;

n = 16

x = 8

=> C₁₆, ₈ = 16! ÷ [ (16-8)! (8)! ]

=> C₁₆, ₈ = 16! ÷ [ (8)! (8)! ]

=> C₁₆, ₈ = 12870

number of ways of getting 9 heads;

n = 16

x = 9

=> C₁₆, ₉ = 16! ÷ [ (16-9)! (9)! ]

=> C₁₆, ₉ = 16! ÷ [ (7)! (9)! ]

=> C₁₆, ₉ = 11440

number of ways of getting 10 heads;

n = 16

x = 10

=> C₁₆, ₁₀ = 16! ÷ [ (16-10)! (10)! ]

=> C₁₆, ₁₀ = 16! ÷ [ (6)! (10)! ]

=> C₁₆, ₁₀ = 8008

number of ways of getting 11 heads;

n = 16

x = 11

=> C₁₆, ₁₁ = 16! ÷ [ (16-11)! (11)! ]

=> C₁₆, ₁₁ = 16! ÷ [ (5)! (11)! ]

=> C₁₆, ₁₁ = 4368

number of ways of getting 12 heads;

n = 16

x = 12

=> C₁₆, ₁₂ = 16! ÷ [ (16-12)! (12)! ]

=> C₁₆, ₁₂ = 16! ÷ [ (4)! (12)! ]

=> C₁₆, ₁₂ = 1820

number of ways of getting 13 heads;

n = 16

x = 13

=> C₁₆, ₁₃ = 16! ÷ [ (16-13)! (13)! ]

=> C₁₆, ₁₃ = 16! ÷ [ (3)! (13)! ]

=> C₁₆, ₁₃ = 560

number of ways of getting 14 heads;

n = 16

x = 14

=> C₁₆, ₁₄ = 16! ÷ [ (16-14)! (14)! ]

=> C₁₆, ₁₄ = 16! ÷ [ (2)! (14)! ]

=> C₁₆, ₁₄ = 120

Therefore, the total number of ways of achieving 7, 8, 9, 10, 11, 12, 13 or 14 heads is the sum of the results above. i.e

11440 + 12870 + 11440 + 8008 + 4368 + 1820 + 560 + 120 = 50626 ways

P(getting number of heads between 7 and 14 inclusive) = [number of ways of achieving 7, 8, 9, 10, 11, 12, 13 or 14 ] ÷ [total number of possible outcomes]

= [tex]\frac{50626}{65536}[/tex]

= 0.77

Find the value of x and the value of y.
Please help :(

Answers

Answer:

Step-by-step explanation:

chia hình tứ giác thành 1 hình chữ nhật và một tam giác vuông từ đó y=4/sin(45)= 4,7 ; x=3+4/tan(45)=5,469

PLEASE help! I really appreciate it thanks!

Answers

Answer:

h=A-πr²÷2πr

Step-by-step explanation:

Making h subject

A=2πrh+πr²

A-πr²=2πrh

A-πr²÷2πr=h

h=A-πr²÷2πr

Answer:

The answer is [tex]h=\frac{A+-\pi r^{2} }{2\pi r}[/tex].

Step-by-step explanation:

To solve for (h), start by subtracting ([tex]\pi r^{2}[/tex]) from both sides, and the equation will look like [tex]A-\pi r^{2}= 2\pi rh+\pi r^2-\pi r^2[/tex]. The next step is to simplify the equation, which will look like [tex]A-\pi r^{2} =2\pi rh[/tex].

Next, divide both sides of the equation by [tex]2\pi r[/tex], and it will look like [tex]\frac{A-\pi r^{2} }{2\pi r} =\frac{2\pi rh}{2\pi r}[/tex]. Finally, simplify the equation, and the answer will be [tex]h=\frac{A+-\pi r^{2} }{2\pi r}[/tex].

What is 2+2-35x62+88-1x675

Answers

[tex]\longrightarrow{\blue{ -2753}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 + 2 - 35 \times 62 + 88 - 1 \times 675[/tex]

[tex] = 2 + 2 - 2170 + 88 - 675[/tex]

[tex] = 92 - 2170 - 675[/tex]

[tex] = 92 - 2845[/tex]

[tex] = - 2753[/tex]

Note:-

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Pls help as fast as u can pls...

Answers

Answer:

226=2×113

321=3×107

305=5×61

133=7×19

Here are the first three terms of a different sequence.
1
3
9
Write down two numbers that could be the 4th term and the 5th term of this sequence.
Give the rule you have used to get your numbers.


please helpp

Answers

Step-by-step explanation:

everything can be found in the picture

Name the types of angles shown.
Check all that apply

A supplementary angles
B straight angle
C complementary angle
D right angle

Answers

Answer: C) complementary angle and D) right angle

Step-by-step explanation:

A is wrong because supplementary angles add up to 180 and this shows a right angle not a straight line

B is wrong because this a right angle not a straight angle

C is correct because complementary angles are two angles that add up to 90 degrees. angle EFH is split into EFG and GFH which adds up to 90 degrees.

D is correct because you can see the right angle symbol for angle EFH

The given angles shown in the figure are right angles and complementary angles.

Supplementary angles are two angles that add up to 180 degrees.

A straight angle is an angle that measures exactly 180 degrees.

It is a straight line, so it forms a straight angle.

A complementary angle is a pair of angles that add up to 90 degrees.

∠EFG and ∠GFH together are complementary angles as their sum is 90 degrees.

A right angle is an angle that measures exactly 90 degrees.

∠EFH is a right angle.

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ7

Bob's Gift Shop sold 650 cards for Mother's Day. One salesman, Scarlett, sold 10% of
the cards sold for Mother's Day. How many cards did Scarlett sell?

Answers

Answer:

65

Step-by-step explanation:

To find the amount of something given a percentage, we first must translate the percentage into a fraction or decimal. One way to do this is to divide the percentage by 100. In this case, we can divide 10% by 100 to get 0.1

We can then multiply the percent by the total, or 100%. In this case, we have 0.1 of 650, so we multiply the two to get 0.1 * 650 = 65 as 10% of 650, or how many cards Scarlett sold

Answer:

65

Step-by-step explanation:

650 x .10 (or 10%)=65

Select the correct answer.

Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?


A.

$100

B.

$120

C.

$150

D.

$180

Answers

Answer:

180

Step-by-step explanation:

9x20= 180

Answer:

Step-by-step explanation:

Well You Know you have to multiply

multiply 9 times 20

9 times 2 18

then add the zeros

The answer is 180

33. A labourer is engaged for 20 days on the condition that he will receive 120 for each day he
works and will be fined 10 for each day he is absent. If he receives 1880 in all, for how
many days did he remain absent?
thind of his nronerty to his son one-fourth to his daughter and​

Answers

Answer:

false

Step-by-step explanation:

Making of a muffin requires 32 ounces of sugar. Convert ounces to pounds?​

Answers

Answer:

2 pounds

Step-by-step explanation:

1 pound  =  16 ounces

x pound =  32  ounces

[tex]x = \frac{32}{16} = 2 \ pounds[/tex]                

Answer:

the answer to 32ounces is 2 pounds

can someone help me with this question

Answers

Answer:

D

Step-by-step explanation:

this answer is correct , i think if you think of it in logically

4. Steven drove from place A to place B at an average speed of 50 km/h. At the same
time, Joseph drove from place B to place A at an average speed of 60 km/h using
the same route. If the distance between A and B were 300 km, what is the distance
between Steven and Joseph after one and one half hours?

5.An owner jeep traveling at an average speed of 70 km/h left the town at 2:00 pm
If it arrived in another town at 6:00 p.m., how far are the two towns?

Answers

Answer:

1. 10 km

2.280 km

please mark my answer as brainliest answer.

the answer is surely correct

4. Steven and Joseph distance between them is 162.5km
5. Two towns are 280km away

1. My number has two digits.
2. Double my number is less than 150.
Follo
ther
3. I am not divisible by 12.
4. My digits are different from each other.
5. The second digit in my number is divisible
by an odd number.
6. My first digit is less than my second digit.
7. My digits add up to 14.
way.

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {Your\:answer\:is\:59.}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

1. My number has two digits.

59 is a two-digit number. ✔

2. Double my number is less than 150.

Double of 59 is 118, which is less than 150. ✔

3. I am not divisible by 12.

Since 59 is an odd number, hence it is not divisible by 12. ✔

4. My digits are different from each other.

The digits 5 and 9 are different. ✔

5. The second digit in my number is divisible by an odd number.

9 is divisible by an odd number, i.e. 3. ✔

6. My first digit is less than my second digit.

5 is less than 9. ✔

7. My digits add up to 14.

5 + 9 gives us 14. ✔

Therefore, the required number is [tex]\sf\pink{59}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

59

Step-by-step explanation:

two digits, 59=118, unable to divide by twelve since its an odd number, 9÷3=3, 5<9, 5+9=14

What is the equation of the line that passes through the point (-7, -4) and has a
slope of 1?

Answers

Answer:

Y=x+3

Step-by-step explanation:

we have :

     x1= -7

     y1= -4

    m=1

as we know Y-y1=m(X-x1)

Y+4=(X+7)

Y+4=X+7

Y=X+7-4

Y=X+3

Dùng kiến thức về suy luận
3.1. Phát biểu các quy tắc suy diễn modus ponens, lựa chọn và bắc cầu.
3.2. Em hãy viết một đoạn văn ngắn (không quá 30 từ, không giống giáo trình) thỏa:
1) Quy tắc modus tollens.
2) Quy tắc
, ( )
( )
x p x
p a

.
3.3. Em hãy xem đoạn suy luận sau đây theo quy tắc logic nào, có hợp logic hay không?
1) Một đất nước muốn phát triển về nhiều mặt thì cần phải hội nhập quốc tế. Việt Nam muốn
phát triển về nhiều mặt. Vậy Việt Nam cần phải hội nhập quốc tế.
2) Nếu trường học không có thầy giáo tốt và không có cơ sở vật chất tốt thì không có chất
lượng giáo dục tốt. Trường X không có cơ sở vật chất tốt mà có chất lượng giáo dục tốt.
Vậy trường X có thầy giáo tốt.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hagg

function travelSpeed = CalculateTravelSpeed(startX, startY, endX, endY, travelTime) % startX, startY: Starting coordinates % endX, endY: Ending coordinates % travelTime: Travel time in hours % Write an anonymous function to compute distance given two coordinates % Function name: EuclideanDist % Function inputs: x1, y1, x2, y2 % EuclideanDist = ... % Do not modify the statement below travelSpeed = EuclideanDist(startX, startY, endX, endY) / travelTime; end

Answers

Answer:

The functions in Python is as follows:

from math import *

def CalculateTravelSpeed(startX,startY,endX,endY,travelTime):

   travelSpeed = EuclideanDist(startX, startY, endX, endY) / travelTime

   return travelSpeed

def EuclideanDist(startX, startY, endX, endY):

   dist = sqrt((startX - endX)**2 + (startY - endY)**2)

   return dist

Step-by-step explanation:

from math import *

This defines the CalculateTravelSpeed function

def CalculateTravelSpeed(startX,startY,endX,endY,travelTime):

This calls the EuclideanDist function to calculate the distance; Next, the speed is calculated

   travelSpeed = EuclideanDist(startX, startY, endX, endY) / travelTime

This returns the calculated speed

   return travelSpeed

This defines the EuclideanDist function

def EuclideanDist(startX, startY, endX, endY):

This calculates the distance from the given coordinates

   dist = sqrt((startX - endX)**2 + (startY - endY)**2)

This returns the calculated distance

   return dist

What is the measure of angle O in parallelogram LMNO?

Answers

Answer:

O=74

Step-by-step explanation:

L=N

180-106=74

M=O

Classify the questions as statistical or not statistical.
How many houseplants
does each house on my
block have?
How many hours did Ryan
study last Saturday?
How many hours do students
in my class study every day?
How many cars does each
person in my neighborhood
own?
How many bags do I own?
How many students in my
class own 2 bags?

Answers

Answer:

1- statistical

2- statistical

4 - statistical

remaining others are non statistical in my opinion

Answer:
all are statistical but not ¨how many bags do I own¨
Step-by-step explanation:

statistical is when you gain data from a response

Complete equation describing how X and Y are related.

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

Every time the x-value increases by 1, the y-value increases by 2. Therefore, the slope of the line must be equal to [tex]2/1=\boxed{2}[/tex] (rise/y-values over run/x-values). In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x,y)[/tex] represents any point the line passes through.

Since [tex]m[/tex] represents the slope of the line, the value of

While the question only asks for this value, it's good to note that the equation of the function is [tex]y=2x+7[/tex] (find 7 by substituting any ordered pair in the table with [tex]m=2[/tex]).

Answer:

y = 2x + 7

Step-by-step explanation:

y = mx + b

For every increase of 1 in x,

there is an increase of 2 in y

m = 2

When x is 0,

y is 7

b = 7

y = 2x + 7

Solve this im stuck please solve!

Answers

There is 6 triangles & 2 rectangles
Upper left: 3 triangles. The two interior and the outline of both together.

Upper right: 5 triangles. 3 upright inside, 1 upside down inside, and the outline.

Lower right: 9 rectangles. The 4 inside square plus the one outline of the whole square = 5. Then the upper two squares together make a rectangle and the lower two squares make a rectangle. (5 + 2 = 7) Lastly the left inner 2 squares make a rectangle and the right inner 2 squares make a rectangle. (7 + 2 = 9)

Lower left: each one is 4 times larger than the previous.

Hope it helps & hope I didn’t miss any.

Please answer question 4

Answers

Answer:

53

Step-by-step explanation:

HELP THIS IS DUE SOON MATH

Answers

Answer: the answer is x= -11.

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

Check explanation

Step-by-step explanation:

I'll give you my way of solving it and you can figure it out from there.

<CEA = <DEB due to vertical angles

AE = ED due to midpoint theorem

<CAD = <ADB due to alternating angles theorem

thus two triangles congruent due to ASA

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 14 cups of​ coffee, using 204 ounces of​ coffee, while collecting a total of ​$16.70. How many cups of each size did Kyle​ fill?
Kyle filled ___ ​10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Answer:

Step-by-step explanation:

Lets assume that Kyle fill "a" 10-oz cups of coffee, "b" 14-oz cups of coffee and "c" 20 oz cups of coffee.

 

a + b + c = 16     (1)

10*a + 14*b + 20*c = 224       (2)

0.95*a + 1.15*b + 1.50*c = 18.60    (3)

Now, multiplying equation (1) by 10 and subtracting it from equation (2), we get

4b + 10c = 64  (4)

Again, multiplying equation (1) by 0.95 and substracting it from equation (3), we get,

0.2b + 0.55c = 3.4    (5)

Now,

Multiplying equation (5) by 20 and subtracting it from equation (4), we get

-c = -4,

Hence, c= 4

Putting this value in equation (4),

4b + 40 = 64

Hence, 4b = 24

So, b = 6

Again, putting the values of b and c in equation (1),

a + 6 + 4 = 16

Thus,

a = 6

Hence, the solution is

a = 6, 10oz cups of coffee

b = 6, 14 oz cups of coffee

c = 4, 20 oz cups of coffee

All of the following statements have the same value except..?


1. six below zero
2. the opposite of six
3. negative six
4. the absolute value of six

Answers

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Let's consider each of the statements.

1. Six below zero.

⟹ Any number below zero will be negative. So, the value will be [tex]\boxed{-6}[/tex]

____________________

2. The opposite of six.

⟹ The opposite of 6 wil be negative 6. The value again will be [tex]\boxed{-6}[/tex]

____________________

3. Negative six.

⟹ Negative six in numerical form is [tex]\boxed{-6}[/tex]

____________________

4. The absolute value of six.

⟹ Here they've asked the absolute value of 6 which will be [tex]\boxed{6}[/tex]

____________________

So, the statement which doesn't have the same value will be [tex]\boxed{statement \ 4}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex]RainbowSalt2^{2}2^{2}[/tex]

A state sales tax of 6% and a local sales tax of 1% are levied in Tampa, Florida. Suppose the price of a
particular car in Tampa is $15,000, and an oil change at a certain auto center is $29.
Which statement is true about the total cost of the car and the oil change after sales tax has been
calculated?

Answers

Answer:

16050, 31.03

Step-by-step explanation:

15000x1.07 (adds 7% tax)=16050

29x1.07(adds 7% tax to price)=31.03

Help is very much needed!!

Answers

Answer:

DE = 24

Step-by-step explanation:

The midsegment DE is half the length of the third side AC , that is

DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 48 = 24

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