What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5 and a shift up 6 ?

Answers

Answer 1

Answer:

[tex]y=3(2)^{x-5}+6[/tex]

Step-by-step explanation:

Let the equation of the exponential function with base 2 is,

[tex]y=a(2)^{x+c}+d[/tex]

Here, a = vertical stretch

c = Horizontal shift

d = Vertical shift

If this function has a vertical stretch by a factor of 3,

Equation will be,

[tex]y=3(2)^{x+c}+d[/tex]

If this function has a shift of 5 to the right,

Equation of the function will be,

[tex]y=3(2)^{x-5}+d[/tex]

If this function has a shift of 6 units upwards,

[tex]y=3(2)^{x-5}+6[/tex]


Related Questions

Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants.
How many different outfits can Alphonsus put together with his new clothes?

A. 1
B. 3
C. 4
D. 7
E. 12

Answers

E. 12
You take 4 shirts times 3 pairs of pants

you have a photo of a tool shed. in the picture the shed measures 2 inches wide and 1.3 inches tall. if the shed is actually 9 feet tall, how wide is the shed?

Answers

Answer:

70 1/5 inches or 70.2

Step-by-step explanation:

9x12 is 108 inches

108 divided by 2 is 54 inches

1 inch for every 54 inches

1.3x 54 is 70.2

Louis will spend $755.00 on a new kitchen sink. He will use his credit card to withdraw
$800 cash to pay for the sink. The credit card company charges 4% interest on the
borrowed amount. How much will Louis owe?
$332

Answers

Answer:

332$?

Step-by-step explanation:

Find the distance between the two points in simplest radical form . (- 6, 6) and (1, 8)

Answers

Answer:

Step-by-step explanation:

Exact Form:

√53

Decimal Form:

7.28010988

14 yd

Area Formula= base x height

Base = 7 yd X 2yd Height= 14 yd

Volume = Area of base x height

Answers

Answer:

The volume is 196 cubic yards

Step-by-step explanation:

Given

[tex]Base\ Area = 7yd * 2yd[/tex]

[tex]Height = 14yd[/tex]

Required

The volume

The volume is given as:

[tex]Volume = Base\ Area * Height[/tex]

Where:

[tex]Base\ Area = 7yd * 2yd[/tex]

[tex]Height = 14yd[/tex]

So, the equation becomes

[tex]Volume = 7yd * 2yd * 14yd[/tex]

[tex]Volume = 196yd^3[/tex]

5. To determine the number of kids under the age of 5 in your neighborhood, you sit outside of
your apartment and count the number of kids under 5 that pass by between the hours of 7AM
and 8AM. Do you think this method will provide you with a representative random sample?
Explain your reasoning.

Answers

Answer:

It will not provide a representative random sample.

Step-by-step explanation:

This is because kids under five will only leave the house if they are going to the park or doing something with there parents. They don't go to school either so they most likely won't leave during the hours of 7 AM and 8 AM.

Hope this helps! :D

- Luna

Find the slope of the line
5x - 5y = 7​

Answers

slope of this line is 1....

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm. Find the approximate increase in the surface area of the cylinder when the radius of the base increases to 5.05

Answers

Answer:

19.72 cm²

Step-by-step explanation:

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.

The volume of cylinder is given by :

[tex]V=\pi r^2 h\\\\=3.14\times (5)^2\times 12.5\\\\=981.25\ cm^2[/tex]

When r = 5.05, new volum becomes,

[tex]V=\pi r^2 h\\\\=3.14\times (5.05)^2\times 12.5\\\\=1000.97\ cm^2[/tex]

Increase in area = 1000.97 - 981.25 = 19.72 cm²

So, the increase in surface area of the cylinder is equal to 19.72 cm².

HIII PLS HELP
PLS SHOW ME ALL UR WORKINGS THXX​

Answers

Answer:

Step-by-step explanation:

(i) y = 3x

m = 3

Slope of the line perpendicular to line (y = 3x) = -1/m = -1/3

Equation of the line through origin : y = mx

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

(ii) Form of the equation of all lines which are perpendicular to y = 3x is

[tex]y = \frac{-1}{3}x +c[/tex]

c is y-intercept

y= -1/3 x is the answer

have a good day

PLEASE HELPPPP ITS A BIG TEST AND I DON’T KNOW WHAT TO DO

Answers

Answer:

choice 2

Step-by-step explanation:

a translation is just a copy from one location to another

You have tiles numbered 1-9 in a bag. What is the probability of drawing a multiple of 3,putting it aside, and then drawing the number 5

Answers

Answer:

1/18

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

Multiples of 3 between 1 - 9 = 3,6,9

Probability of picking a multiple of 9 = total multiples of 9 in the bag / total tiles in the bag

3/9

To transform to the simplest form. divide both the numerator and the denominator by 3

1/3

After picking the multiples of 3, the tiles are not replaced, tiles in the bag would now be 6

Probability of picking 5 = 1/6

1/6 x 1/3 = 1/18

A funnel used in a manufacturing plant is 4 feet tall. The radius of the base is 6 feet
611
What is the best approximation for the volume of the funnel? (Use 3.14 for)
A
25
B.
75
С
151 n
D
452 n?

Answers

B because that’s how system works

can someone please help asap

Answers

Answer:

I'd have to say, C: 13

Step-by-step explanation:

Answer:

C. 13 meters

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]c^{2} = 12^{2} + 5^{2}[/tex]

12 x 12 = 144

5 x 5 = 25

[tex]c^{2} = 144 + 25[/tex]

[tex]c^{2} = 169[/tex]

[tex]\sqrt{c^{2} } = \sqrt{169}[/tex]

c = [tex]\sqrt{169}[/tex]

169 ÷ 13 = 13

1 [tex]\sqrt{13 m}[/tex]

Please let me know if this helps!

4x – 4 = – 12
X = ?
What is X ?

Answers

Answer:

X=-2

Step-by-step explanation:

4x-4=-12

Add 4 on both sides

+4 +4

4x=-8

Divide by 4 on both sides

÷4 ÷4

X=-2

Answer:

-2

Step-by-step explanation:

4x-4=-12

4x=-12+4

4x=-8

x=-8/4

x=-2

The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78

Find the MODE of the temperatures.

Answers

Answer: 78

Step-by-step explanation:

The mode is the number that appears the most number of times. In this case the number 78 appears twice unlike the other numbers that only appear once. Hence, 78 is the mode :)

Answer:

78

Step-by-step explanation:

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

A. 58

B. 110

C. 45

D. 51

Answers

Answer:

A. 58

Step-by-step explanation:

70° + m<3 + 52° = 180°

m<3 = 58°

Answer:

A. 58°

Step-by-step explanation:

here's your solution

==> 70° + 52° + angle 3 = 180°. [linear pair]

==> angle 3 + 122° = 180°

==> angle 3 = 180° - 122°

==> angle 3 = 58°

hope it helps

If a rock weighs 3.24 pounds on Saturn, what will it weigh on Earth?

Answers

Answer:

weight on saturn = (weight on earth/9.8) x 10.44

So,

3.24 = (x/9.8) x 10.44

0.3103 = x/9.8

x = 3.0409

The rock would weigh 3.0409 pounds on Earth! :)

A triangle has sides with lengths of 15 inches, 20 inches, and 25 inches. Is it a right triangle?

Answers

37 inches

Hope this helps!

Answer:

Yes.

Step-by-step explanation:

If the side lengths verify in the Pythagorean theorem, then it is a right triangle.

a² + b² = c²

15² + 20² = 25²

225 + 400 = 625

625 = 625

Since these values come out true when using the Pythagorean Theorem, this triangle is a right trinagle.

the area of the triangle

Answers

Answer:

area of triangle is

Step-by-step explanation:

Subscribe my Gaming channel Sameer Duos

Area = hight^Breadth/2

The original price of a shirt is $16.00. The price of the shirt is discounted by 20%, then a 4% sales tax is added. What is the final price of the shirt after the discount is taken off and sales tax added?

Answers

Answer:

$13.31

Step-by-step explanation:

blehn  b;eoj

Answer:

$13.31

Step-by-step explanation:

First, take the original price and apply the discount of 20% by converting the percentage into a decimal (0.2)

16 x 0.2

= 3.2

Next, take away that amount from the original price

16 - 3.2

= 12.8

Now calculate the tax with the new price by converting the percentage into a decimal (0.04)

12.8 x 0.04

= 0.512

Finally, add the tax to the new amount

12.8 + 0.512

= 13.312

Round if necessary.

HELP PLEASE IM ON A TIMER!!!
To buy a PS5 bundle, Amir borrowed $850 for 2 years at a simple interest rate of 2.5%. How much did he have to pay back in all? A.$42.50 B.85.00 C.$850 D.$892.50

Answers

Answer:

d.

Step-by-step explanation:

Answer:

D. $892.50

Step-by-step explanation:

First we find out the interest:

850 * 2.5% = 21.25

Since this is 2 years we multiply the interest by 2.

21.25 * 2 = 42.50

Now we add the interest with the amount borrowed.

850 + 42.50 = $892.50

So, the answer is $892.50 in total.

Hope this helps! :)

Plz put the work clearly plzz I really need these

Answers

Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

Bobby is 28cm shorter than Daniel. Roy is 19 cm taller than Daniel. Find the difference in height between Roy and Bobby.

Answers

Answer:

There is a 47cm difference between the two....

So you just added 28cm to 19cm to get 47cm....

Because 19-(-28) is 19 + 28.

Hope this helps :D

Step-by-step explanation:

A television newscaster from a 24-hour news station wants to estimate the number of hours per day its viewers watch
programming on this channel
. The neviscaster randomly selects 100 viewers and asks them how many hours per day
they watch this station. The newscaster constructs an 85% confidence interval for the true mean number of hours
viewers watch this station. Which of the following would decrease the margin of error?

Answers

Answer:

This isn't the best worded question but from what I understand a larger sample size decreases the margin of error. If he would like a more accurate answer a larger sample size of the viewers will give more accurate answers.

Step-by-step explanation:

Help plz. I just need the answers.

Answers

Answer:

A- (-8)

B- (-7.8)

Solve for n. 11(n – 1) + 35 = 3n n = –6 n = –3 n = 3 n = 6

Answers

Answer:

n = -3

Step-by-step explanation:

11(n – 1) + 35 = 3n

11n - 11 + 35 = 3n

24 = -8n

n = -3

the answer is 5286 i think hope this helps

Answers

Answer:

We can’t see the question

Step-by-step explanation:

we need a question to solve for the question

The fifth term in the expansion of (n + 3)6

Answers

Answer:

Step-by-step explanation:

i am assuming this is  (n+3)^6 if so

729+1458x+1215x^2+540x^3+135x^4+18x^5+x^6

the fifth term is 135x^4

The fifth term of the expression (n + 3)⁶ is 1,215n².

What is binomial theorem?

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem.

The given expression is,

(n + 3)⁶.

To find the fifth term in the expression,

Use binomial expansion method,

[tex](x+y)^n = ^{n}C_0 x^nny^0 + ^nC_1 x^{n-1}y^1 + ^nC_2 x^{n-2} y^2 + ...[/tex]

Use the binomial formula for expression (n + 3)⁶,

[tex](n+3)^6 = ^6C_0n^63^0 + ^6C_1n^53^1 + ^6C_2n^43^2 +^6C_3n^33^3 + ^6C_4n^23^4 + ^6C_5n^13^5 + ^6C_6n^03^6[/tex]

The fifth term of the expression is [tex]^6C_4n^23^4[/tex].

The term [tex]^6C_4n^23^4[/tex] can be simplified as,

[tex]^6C_4n^23^4[/tex] = 15 x n² x 81 = 1215n².

The fifth term of the expression (n + 3)⁶ is 1,215n².

To know more about Binomial theorem on:

https://brainly.com/question/27813780

#SPJ2

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

A

Step-by-step explanation:

It will always go down if you put more wait.

Can I have Brainliest

Find the zeros of the equation:
(x+10)(x-2) = 0

Answers

Answer:

[tex]x=-10;x=2[/tex]

Step-by-step explanation:

[tex](x+10)(x-2)=0\\(-10+10)(-10-2)=0\\0(-12)=0\\0=0[/tex]

[tex](x+10)(x-2)=0\\(2+10)(2-2)=0\\0(12)=0\\0=0[/tex]

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