write an equation of the function in the form y=a(b)^x -c that has a y intercept of -6, asymptote of y= -2 and goes through (2,-18)

Answers

Answer 1

Step-by-step explanation:

Asymptote: y = 2 y-intercept: (0,8)

Step-by-step explanation:

The given function is

f(x) = 6(0.5)^{x} + 2f(x)=6(0.5)

x

+2

This function is of the form:

f(x) = a {b}^{x} + cf(x)=ab

x

+c

where y=c is the horizontal asymptote.

By comparing , we have c=2 hence the horizontal asymptote is

y = 2y=2

To find the y-intercept, we put x=0 into the function to get:

f(0) = 6(0.5)^{0} + 2 = 6 + 2 = 8f(0)=6(0.5)

0

+2=6+2=8

Therefore the y-intercept is (0,8).


Related Questions

Is 392 a perfect cube? If not, find the smallest natural number by which
392 must be multiplied so that the product will be a perfect cube.

Answers

Answer:

no its not a perfect cube, we need to multiply a seven to make it perfect cube

Step-by-step explanation:

answer from GAUTHMATH

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is arn interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma separated list of values.)

[infinity]

Σ (-1)n+1(x-8)/n8n

n=1

Answers

I'm guessing the power series given is

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1}\frac{(x-8)^n}{8^n}[/tex]

which you can condense somewhat into

[tex]\displaystyle -\sum_{n=1}^\infty \left(\frac{8-x}8\right)^n[/tex]

You should recognize this as a geometric series, which converges for

[tex]\left|\dfrac{8-x}8\right|<1 \implies |8-x|<8 \implies \boxed{0 < x < 16}[/tex]

PLEASE HELP ASAP

Solve the triangle. Round your answers to the nearest tenth.


Answer Options:

A. m∠A=41, b=11, c=29

B. m∠A=41, b=13, c=29

C. m∠A=41, b=10, c=29

D. m∠A=41, b=13, c=25.9

Answers

Answer:

Optiom B

Step-by-step explanation:

If you use sine rule here, you'll find the other two sides

for the angle, do 180-24-115 = 41

Answered by GAUTHMATH

When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m

Answers

Answer:

B .62.5 m

Step-by-step explanation:

convert Kmh-1 in to ms-1

30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1

60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1

acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2

V^2 = U^2 +2aS

(16.6)^2 = (8.3)^2 + 2×1.66 ×S

S = 62.5 m

Which possible buffet prices could Noah could charge and still maintain the restaurant owner’s revenue requirements?

Select the correct prices in the table.

$12 $13 $14 $15

Answers

Answer:

The answer is actually 12 and 13.  

Step-by-step explanation:

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90. 

The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.

We have given that the table,  

What is the prices?

Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90.

To learn more about the price visit:

https://brainly.com/question/1153322

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A rectangle with a perimeter of 113 units is dilated by a scale factor of 3. Find the
perimeter of the rectangle after dilation. Round your answer to the nearest tenth, if
necessary.

Answers

Answer:

339 units

Step-by-step explanation:

You simply multiply the perimeter of the original rectangle by three to get the perimeter of the new rectangle.

Is the answer option b?

Answers

Answer:

yes, it is B

Step-by-step explanation:

every input value of x has an unique result value y.

there are no 2 values for x that produce the same result value y.

and there are no multiple result values possible for a subject x value.

bottom line, yes, it is a function, and a 1:1 function at that.

Find the lateral area of this square
based pyramid.
10 in
Sin
[ ? Jin?

Answers

Side of base=5in

Perimeter:-4a

[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]

Height=10in

[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]

[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]

[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]

If cos(27) =p, express sin(27) in terms of p

Answers

Answer:

√(p²-1)

Step-by-step explanation:

sin (27°) = √(p²-1) / 1

= √(p²-1)

what is this please tell answer​

Answers

Answer:

x=6, y=4, z=8

(c) 6

I hope this is helpful!

Given the functions below, find f(x) + g(x)
f(x) = 3x - 1
g(x) = x2 + 4

Answers

Answer:

x^2+3x+3

Step-by-step explanation:

f(x) = 3x - 1

g(x) = x^2 + 4

f(x) + g(x) = 3x-1+ x^2 +4

                 Combine like terms

                   = x^2+3x+3

The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?

Answers

Answer:

Size of the original rectangle is 30*20=600

Step-by-step explanation:

Let the length and width of rectangle be x+10 and x. After increasing the dimensions, the new length and width are x+20 and x+10

ATQ, (x+20)(x+10)=2(x+10)(x), x=20.

2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

Angles a and e are corresponding angles and they are also congruent.

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11

Answers

Answer:

0.5013415404

Step-by-step explanation:


Evaluate the expression when a=3.
a^2 - 6a -5

Answers

Answer:

- 14

Step-by-step explanation:

a = 3

a^2 - 6a - 5

= 3^2 - 6 ( 3 ) - 5

= 9 - 18 - 5

= 9 - 23

= - 14

9-18-5= -9-5=-14

Just substitute 3 for a and solve.

3^2=3(3)=9
-6(3)=-18

PLSSS HELPPP
give me the answers and explain

Answers

Y: -4, -2, 0, 2, 4, 6

3. Express the mixed recurring decimal 15.732 in p/q form.​

Answers

Answer

15717/999

Step-by-step explanation

n=15.732732

10n=157.32732

100n=1573.27327

1000n=15732.732732

n= 15.732732

999n=15717

999 999

Answer:

3933/250

Step-by-step explanation:

PLS HELP I'M SOO CONFUSED
Consider the arithmetic senes 336+ 332+328+....+4 Numeric Response 1 The number of terms in the series above is (Record your answer in the numerical-response section below) Your answer DCC Numeric Response 2. The sum of the series above is (Record your answer in the numerical-response section below) ​

Answers

The first term in the series is 336. The second term is obtained by subtracting 4 from the first term; subtract 4 from that to get the third term; and so on. Then the n-th term in the series is

336 - 4 (n - 1)

or

340 - 4n

The last term in this series is 4, so we solve for n :

340 - 4n = 4

336 = 4n

n = 336/4 = 84

The sum of the series is then

[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\sum_{n=1}^{84}1 - 4 \sum_{n=1}^{84}n[/tex]

Recall that

[tex]\displaystyle \sum_{n=1}^{N} 1 = N[/tex]

[tex]\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2[/tex]

Then the sum we want is

[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\times84 - 4\times\frac{84\times85}2 = \boxed{14,280}[/tex]

I need help I don't understand this at all.

Answers

-2(6+x)=18-3x-12-2x=18-3x-2x+3x=18+12x=30

please mark this answer as brainlist

What is 21+x=70 what is X?




















this is me

Answers

Answer:

Simplifying

Simplifying

21 + x = 70

Solving

21 + x = 70

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + x = 70 + -21

Combine like terms: 21 + -21 = 0

0 + x = 70 + -21

x = 70 + -21

Combine like terms: 70 + -21 = 49

x = 49

Simplifying

x = 49

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{21 + x = 70}[/tex]

[tex]\large\textsf{x + 21 = 70}[/tex]

[tex]\large\text{SUBTRACT 21 to BOTH SIDES}[/tex]

[tex]\large\textsf{x + 21 - 21 = 70 - 21}[/tex]

[tex]\large\text{CANCEL out: 21 - 21 because that gives you 0}[/tex]

[tex]\large\text{KEEP: 70 - 21 because that helps solve for the x-value}[/tex]

[tex]\large\textsf{x = 70 - 21}[/tex]

[tex]\large\textsf{\bf x = 49}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 49}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent

Answers

The question given is incomplete as the information about the headphones isn't given.

However, we can solve the problem by using hypothetical values.

Answer:

Kindly check explanation

Step-by-step explanation:

Given

Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.

Let :

The number of defective headphones = 10

The total number of headphones on the sample = 50

To express as a ratio :

Defective headphones : total headphones

10 : 50 = 1 : 5

To express as a percentage ;

1 / 5 * 100% = 20%

As James bought his textbooks for classes one semester, he estimated the cost to the nearest ten dollars. He knew he could cover the cost up to $315. His math book cost $68.41, biology text was $105.35, literature text cost $72.49, and the AutoCAD text was $59.91. What rounded sum did James determine

Answers

Answer:

$310

Step-by-step explanation:

The first step is to add the costs of the textbook together :

$68.41 + $105.35 + $72.49 + $59.91 = $306.16

In order to round off to the nearest ten dollars, look at the units figure, if the number is greater or equal to 5, add 1 to the ten figure. If this is not the case, add zero. Replace the unit digit with zero

The unit digit is greater than 6, so 1 is added to the tens digit. The amount becomes $310

solve. x/2 + 1/3 greater than 0

Answers

Answer:

x > -2/3

Step-by-step explanation:

[tex]\frac{x}{2} +\frac{1}{3} > 0[/tex] , subtract 1/3 from both sides

[tex]\frac{x}{2} > \frac{-1}{3}[/tex] , multiply both sides by 2

[tex]x > \frac{-2}{3}[/tex]

In Exercises 1-4, determine whether the dilated figure or the original figure is closer to the center of dilation. Use the given location of the center of dilation and scale factor k.
1. Center of dilation inside the figure; k = 3
Center of ditation inside the figure, k = 1/2
3. Center of dilation outside the figure: = 120%
4. Center of dilation outside the figure; k = 0.1

Answers

When the Center of dilation is inside the figure

The original figure is closer to the center of dilationThe dilated figure is closer to the the center of dilation

When the Center of dilation is outside the figure

    3. The original figure is closer to the the center of dilation

    4. The dilated figure is closer to the center of dilation

The center of dilation is the fixed point from which the distances in a dilation are measured

The scale factor is ratio of the side lengths of an original figure or preimage to  the side lengths of the newly formed image

Center of dilation is inside the figure

Where the center of dilation is inside the figure, and the scale factor is larger than 1, k = 3 > 1,  we have;

The distance of a point on the dilated figure, including the distances from the center of dilation is 3 times the distances of points on the original image from the center of dilation

Therefore, the original figure has a shorter distance to and is therefore closer to the the center of dilation than the dilated figure

     2. Where the center of dilation is inside the figure, and the scale factor is a fraction between 0 and 1 k = 1/2, we have;

The distance of a point on the dilated figure, including the distances from the center of dilation is 1/2 times the distances of points on the original image from the center of dilation

Therefore, the dilated figure has a shorter distance to and is therefore closer to the the center of dilation than the original figure

Center of dilation outside the figure

     3. Given that the center of dilation is outside the figure and the scale factor is larger than 1, k = 120% = 120/100 = 1.2 > 1, we have;

The distance of the dilated figure from the center of dilation is 120% of the distance of the original figure from the center of dilation, therefore, the original figure is closer to the the center of dilation than the dilated figure

     4. Where the center of dilation is outside the figure and the scale factor is a fraction between 0 and 1, k = 0.1 < 1

The distance of the dilated figure from the center of dilation is only 0.1 times the distance of the original figure from the center of dilation, and therefore, the dilated figure is closer to the center of dilation

Learn more about scale factors and center of dilation here;

https://brainly.com/question/12162455

find x
2 ^30 divided by 8^9= 2x

Answers

Answer:

see below

Step-by-step explanation:

2^30

-------

8^9

Rewriting

8^9

2^3 ^ 9

We know a^b^c = a^(b*c)

2^(3*9) = 2^27

2^30

-------

2^27

We know a^b / a^c = a^(b-c)

2^(30-27) = 2^3

Assuming you mean 2^x

2^3 = 2^x

x=3

If you mean 2x

2^3 = 8

8 = 2x

Divide by 2

4 =x

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2^{30}}{8^9}=2x}[/tex]

[tex]\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}[/tex]

[tex]\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}[/tex]

[tex]\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 30%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PC's at home. What assumptions are necessary for this test to be satisfied

Answers

Solution :

Given data :

x = 65, n = 300

[tex]$\hat p = \frac{x}{n}[/tex]

  [tex]$=\frac{65}{300}$[/tex]

  = 0.2167

The hypothesis are :

[tex]$H_0: p \leq 0.3$[/tex]

[tex]$H_0: p> 0.3$[/tex]

The [tex]\text{level of significance}[/tex], α = 0.05

The test is right tailed.

The standard deviation is :

[tex]$\sigma = \sqrt{\frac{0.3(1-0.3)}{300}}$[/tex]

σ = 0.0265

The test statistics is :

[tex]$z=\frac{\hat p - p}{\sigma}$[/tex]

[tex]$z=\frac{0.2167 - 0.3}{0.0265}$[/tex]

  = -3.14

The critical value is 1.645

The rejection region is : If z > 1.645, then we reject [tex]H_0[/tex]

Decision :

Since the test statistics does not lie in the rejection, so we fail to . [tex]\text{reject the null hypothesis}[/tex].

P-value : [tex]$P(z > - 3.14)$[/tex]   = 0.9992

Therefore, the p-value is not less than the level of significance so we fail to [tex]\text{reject the null hypothesis}[/tex].

27x + 24y= 4.5

1.5x + y =0.225

Answers

Answer:

x = 0.1, y = 0.075

Step-by-step explanation:

Given the 2 equations

27x + 24y = 4.5 → (1)

1.5x + y = 0.225 → (2)

Multiplying (2) by - 24 and adding to (1) will eliminate the y- term

- 36x - 24y = - 5.4 → (3)

Add (1) and (3) term by term to eliminate y

- 9x = - 0.9 ( divide both sides by - 9 )

x = 0.1

Substitute x = 0.1 into either of the 2 equations and solve for y

Substituting into (2)

1.5(0.1) + y = 0.225

0.15 + y = 0.225 ( subtract 0.15 from both sides )

y = 0.075

Answer:

the values for x AND y are 0.1 and 0.075 respectively

Center (-1,5); passes through (-4,-6)

Answers

Answer:

what is the question

Step-by-step explanation:

The function c(n) below relates the number of bushels of apples picked at a pic-your-own orchard to find cost for the apples it takes as input the number bushels of apples picked after paying an entry fee to an orchard and it returns as output the cost of the apples (in dollars) c(n)=15n+30

Answers

Answer:

C(n) = 20n + 15  

y = 20n + 15  

20n = y - 15

n = (y - 15)/20

N(c) = (c-15)/20

Step-by-step explanation:

Answer:

N(c)= c-30/ 15

Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61 or 62.)

Answers

Answer:

x=61.71428 or 61 5/7

Step-by-step explanation:

We can use a ratio to solve

7 pieces              12 pieces

-----------------   = ---------------

36 seconds          x seconds

Using cross products

7x = 36*12

7x = 432

Divide by 7

7x/7 = 432/7

61 5/7

x=61.71428

Answer:

66

Step-by-step explanation:

Other Questions
For a sample variance of n = 36 that has a sample variance of 1,296, what is the estimated error for the sample? Carlise Corp., which manufactures ceiling fans, currently has two product lines, the Indoor and the Outdoor. Carlise has total overhead of $136,612.Carlise has identified the following information about its overhead activity cost pools and the two product lines:Activity Cost Pools Cost Driver Cost Assigned to Pool Quantity/AmountConsumed by Indoor Line Quantity/AmountConsumed by Outdoor LineMaterials handling Number of moves $ 18,661 560 moves 430 movesQuality control Number of inspections $ 76,590 6,000 inspections 5,100 inspectionsMachine maintenance Number of machine hours $ 41,360 22,000 machine hours 25,000 machine hoursRequired:1. Suppose Carlise used a traditional costing system with machine hours as the cost driver. Determine the amount of overhead assigned to each product line. (Do not round intermediate calculations and round your final answers to the nearest whole dollar amount.)Overhead AssignedIndoor Model ? Outdoor Model ?Total ?2. Calculate the activity proportions for each cost pool in Carlise's ABC system. (Round your answers to 2 decimal places.Activity ProportionsIndoor LineOutdoor Line Materials Handling % ? % ? per MoveQuality Control % ? % ? per InspectionMaintenance % ? % ? per Machine hour3. Calculate the amount of overhead that Carlise will assign to the Indoor line if it uses an ABC system.(Round your intermediate calculations to 2 decimal places and round your final answers to the nearest whole dollar amount.)Indoor ModelMaterials Handling ?Quality Control ? Maintenance ?Total Overhead Assigned ? how did the Enlightenmnet influence the development of the American Revolution Which level of organization includes all the other levels of organization? Adolescent drug use in the United States has _____ in recent years. What is the main purpose of closing entries for revenues and expenses into Profit and Loss Summary? a. To determine the profit for period. b. To transfer the journalised entries to relevant ledger account. c. To check the accuracy of journal entries. d. To provide information of business ability to repay for the debt. Choose A, B, C or D to indicate the word whose underlined part is pronounced differently from the others. 1. A. SolarB. PerformC. EnormousD. Boring 2. A. ReversedB. WalkedC. StoppedD. Obeyed Suppose you purchase a $1,000 TIPS on January 1, 2021. The bond carries a fixed coupon of 1 percent. Over the first two years, semiannual inflation is 4 percent, 1 percent, 2 percent, and 3 percent, respectively. For each six-month period, calculate the accrued principal and coupon payment. explain how data structures and algorithms are useful to the use of computer in data management "Measurement is essential in our life. Justify the statement. In 4-6 sentences, discuss how understanding the concept of price elasticity of demand is useful for a business owner/firm operating in any market structure. Copying the definition or restating the definition of elasticity will result in loss of points. (What does price elasticity of demand tell the firm in terms 8794979666++++45626563. WILL GIVE BRAINLIST IF CORRECT Which function is represented by this graph please help, is associated with angles. thank u :) B. Adjectives into nouns: write the appropriate noun in the second sentence, so that it has asimilar meaning to the first.1. The scene was so beautiful that it took her breath away.The _____________________ of the scene took her breath away.2. They measured how wide the road was.They measured the _______________________ of the road.3. The fact that he was thin put off directors.His _______________________ put off the directors.C. Combine the sentences replacing the adjective with a noun:1. My sister was cheerful. 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What kind of film does Yiyi love mostA. slapstick comedyB. campy comedyC. situation comedyD. physical comedy Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers. Let y = the total amount of money Justin has, and x is in weeks. Hi guys Cell is the structural and functional unit of life.Why?Thanks