Write an exponential equation in the form y = ab^x whose graph passes through points (1,0.84) and (2,1.008)

Answers

Answer 1

Answer:

y = 0.7 * 1.2^x

Step-by-step explanation:

(1, 0.84)

0.84 = ab^1

(2, 1.008)

1.008 = ab^2

-------------------------

To find b divide the second point by the first

ab^2 / ab^1 = 1.008 / 0.84

b = 1.2

----------------------

To find a plug b = 1.2 into the first point

0.84 = a * 1.2^1

0.84 = a * 1.2

Divide both sides by 1.2

0.7 = a

------------------------

The equation is

y = 0.7 * 1.2^x


Related Questions

Please help!!!!!!!!!!!!!!!! Find the scale factor for the side lengths

Answers

Answer:

Scale factor is 1/4

Step-by-step explanation:

You can easily calculate the scale factor of anything by dividing the new length by the old one. Then just simplify if necessary.

TS is 8, and T'S' is 2, so:

[tex]\frac{2}{8}=\frac{1}{4}[/tex]

edit: fixed fraction

The University of Washington Huskies tried throwing one of the longest Hail Marys in history—about 73 yards! For this pass, the ball's height over time was modeled by the function h(t) = -16t2 + 64t + 6, where was the height in feet and was the time in seconds. a) How long does it take for the football to reach its maximum height? b) What is its maximum height? c) How long will the football be in the air? It takes a good college football player about 8 seconds to run 73 yards. If the quarterback waited 4 seconds after the snap, does the receiver have a chance of catching the ball?

Answers

Answer:

See below

Step-by-step explanation:

Given function:

h(t) = -16t² + 64t + 6

a)

The maximum height is the vertex. The x-coordinate of the vertex is -b/2a:

t = - 64/2*(-16) = 2

It takes 2 seconds

b)

Maximum height is at vertex:

h(2) = -16(2²)  + 64(2) + 6 = 70 yd

c)

The ball is in the air between zero's of the equation or approximately double the time it reaches the vertex:

2*2 = 4 seconds

The receiver doesn't have a chance to catch the ball, since the ball is only 4 seconds in the air.

PLEASE HELPPP RUNNING OUT OF TIMMEE


Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.


Shop A) 1.25kg for £4.85

Shop B) 250g for £0.88

Answers

Step-by-step explanation:

come on !

250g = 0.250kg = 0.25kg

now compare 1.25 kg with 0.25kg.

how many times of 0.25 is 1.25 ?

it is the same as 25 to 125.

5 times (4 times 25 is 100, and then one more time).

so, you need to multiply also the price by 5 to get the price per 1.25kg.

so, 0.88×5 = £4.40 = 440 pence per 1.25kg.

A farmer harvests 850kg of parsnips.30% go to the local market and 50% go to a local supermarket.What mass of parsnips are left?

Answers

Answer:

170 kg. of parsnips are left

Step-by-step explanation:

Given:

850 kg. of parsnips

30 % to the local market

50 % to a local supermarket

Solution:

First, add the two percentages.

30 + 50 = 80%

That means 80 % of parsnips mass go to the markets.

Now let's find the mass of delivered parsnips.

Change 80% to decimal form.

80% = 0.8

Now multiply it by 850 kg.

850 x 0.8 = 680

The delivered parsnips mass is 680 kg.

Now to find the mass of parsnips left, subtract 680 to 850

850 - 680 = 170 kg.

170kg. of parsnips are left.

Find two consecutive odd integers such that thrice the smaller is 92 more than the larger
Nonsense Answer = Report
Innocent Answer but no Answer = Report
Answer with Solution = Heart, 5 Star, and Brainliest

Answers

Answer:

A = 47

B = 49

Step-by-step explanation:

Let the two consecutive odd integers be A and B

We know that B = A + 2, and that A is odd.

We are also told that

3A - 92= B

Use this last expression for B in the first equation:

B = A + 2

3A - 92 = A + 2

2A = 94

A = 47

B must therefore be 47 + 2 = 49

Check:

1)  A + 2 = B?  YES

2)  3A - 92= B?

    3*47 - 92 = 49?

      141 - 92 = 49   YES

3) Are they both odd consecutive integers?  YES

     

A = 47

B = 49

What is the value of the function Y equals 2X plus 3 When x equals -1

Answers

Answer:

1

Step-by-step explanation:

Y=2x+3

Y=2×(-1)+3

Y=1

3 (x-1)=3x-×-3-3+x+3
True or false

Answers

true

Step-by-step explanation:

Answer:

3x-3

Step-by-step explanation:

So false if you Multiply

Winston’s owner increased the amount of dog food he eats every day from 40 grams to 48 grams. By what percentage did Winston increase the amount of dog food he eats?

Answers

Answer:

the answer is 20% increase I used a calculator but you should be able to do that math by taking 40 dividing by five where that ends up being 8 that is 20 percent of 40 so adding that back to the original amount is a 20 percent increase hope this helps

Step-by-step explanation:

f(x)={x+4….
for f(x)

Answers

Answer:

3f=5

Step-by-step explanation:

f(x) = x+4

3f=4x

x<5

5<_x<7

7<_x<_10

Savannah is deciding between two parking garages. Garage A charges an initial fee of $9 to park plus $1.50 per hour. Garage B charges an initial fee of $4 to park plus $2.50 per hour. Let A A represent the amount Garage A would charge if Savannah parks for t t hours, and let B B represent the amount Garage B would charge if Savannah parks for t t hours. Graph each function and determine which garage would be cheaper if Savannah needs to park for 6 hours.

Answers

Answer:

A = 10 + 3t

B = 3  + 4t

if  t = 12 , then A = 10 + 3(12) = $46,  B = 3 + 4(12) = $51.

So Garage A is cheaper for 12 hours

Step-by-step explanation:

hope this helped!

If triangle he an area of 36 and a height of 12 calculate the length of the base.

Answers

Answer:

Below.

Step-by-step explanation:

A = 1/2bh for a triangle.

36 = 1/2b(12)

36 = 6b

----    ----

6        6

b = 6

5/12 divided by 3 in fractions

Answers

Answer:

5/36

Step-by-step explanation:

First you need to find the "reciprocal" (the opposite, so the numbers switched around) of the second number, which is 3. In turn, the 3 would become 1/3. Then just multiply the two fractions which is 5/12 x 1/3 = 5/36.

Answer:

5/12 ÷3

Reciprocate

5/12× 1/3

=5/36

john is cutting wood planks. He has a 3 foot plank. he needs to cut them in 3/8 length pieces. How many pieces will he have?

Answers

Answer:

he will have 3 pieces

Step-by-step explanation:

3/8×8

=3

Mark me BRAINLIEST

Given $P(10,12)$ and $Q(20,36)$, find the coordinates of a point whose distance from both $P$ and $Q$ is exactly $13.$

Answers

The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)

The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;

Distance, PQ = √(20-10)² + (36-12)²

PQ = √(100+576)

PQ = √676

PQ = 26.

Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.

Therefore,

x = (20 + 10)/2

x = 15

y = (36 + 12)/2

y = 24.

The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)

Read more:

https://brainly.com/question/18049211

PLEASE HELP IM GONNA CRY LOL
An angle's measure is equal to 24 less than its complement. Find the measure of the angle.

Answers

Answer:

x = 33°

Step-by-step explanation:

x = angle

a complement of an angle =(90-x)

x = (90-x) - 24

x = 90 - x - 24

x = 66 -x

2x = 66

x = 33

Today, Ravi burned 1005.7 calories while exercising. Yesterday, he burned 138 calories. How many more calories did Ravi burn today than yesterday?

Answers

Answer:

Ravi burned 867.7 more calories today than he did yesterday.

Step-by-step explanation:

To find how many more calories Ravi burned today than he did yesterday, subtract the number of calories he burned yesterday (138) from the number of calories he burned today (1005.7). This will give us the number 867.7, which is the solution to the problem.

To check this math, we can add 867.7 to 138, which will give us 1005.7, the number of calories Ravi burned today.

At a hockey game a vendor sold a combined total of 168 sodas and hotdogs. The number of sodas sold was two times the number of hotdogs sold. Find the number of sodas and the number of hotdogs sold.

Answers

Step-by-step explanation:

168/3 = 56

so 112 sodas

56 hotdogs

what are all the square numbers that are greater than 10 but less then 40

Answers

Answer:

16, 25, 36

Step-by-step explanation:

4^2 = 165^2 = 256^2 = 36

2x+3y=15
x+y=6
work out the values of x and y.

Answers

Answer:

Step-by-step explanation:

Elimination sounds the easiest for y:

[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]

Now we got one value, let's replace in one of the two and find the second

[tex]II: x+(3)=6 \rightarrow x=3[/tex]

Answer:

[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]

{(3,5),(-2,1),(4,3),(-1,4)} is each of these relation's a function?

Answers

Answer:

It is not a function.

Step-by-step explanation:

{(3,5),(-2,1),(4,3),(-1,4)}

A function is a special type of relation. In a function, no two ordered pairs have the same first  component.

This relation has two 4s.

the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction​

Answers

Answer:

Side length = 4.80 cm

Step-by-step explanation:

Given the perimeter of an equilateral triangle, 14.4 cm:

An equilateral triangle has three congruent sides.

Since a triangle has three sides, and the sum of those sides represent the perimeter.  We can assume that each side of the triangle represents a third (⅓) of the perimeter.

Perimeter of an equilateral triangle = side + side + side = 3(side)  

Perimeter = 14.4 cm

[tex]\displaystyle\mathsf{side=\frac{14.4\:cm}{3}=4.80\:cm}[/tex]

Therefore, the length of each side of an equilateral triangle is:  4.80 cm.

find the measure of angle 1 and angle 2. justify your answer

Answers

Answer:

∠ 1 = 95° , ∠ 2 = 130°

Step-by-step explanation:

∠ 1 = 95° ( alternate angles )

∠ 2 and 50° are same- side interior angles and sum to 180°

∠ 2 + 50° = 180° ( subtract 50° from both sides )

∠ 2 = 130° ( same- side interior angle )

The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11. 8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet.

Answers

Answer:he correct answers are 10.9 feet and 392.4 square feet.

Step-by-Step explanation:

Answer:

Apothem is 10.9 feet

Area of the gazebo is 392.4 feet

Step-by-step explanation:

Edge

Which one of the quotients is correct?

Answers

Answer:

B

Step-by-step explanation:

B is correct 24r11 one ................

If 'r' represents remainder then the correct answer is option A. The quotient is 24 & the remainder is 13.

Steps are in the attachment.

____

RainbowSalt2222 ☔

Please solve this quickly.

Answers

the answers are 6ft & 4ft

Please help me with both problems I’ll mark as brainliest!!!

Answers

Answer:

7.  x = 9

9. x=7

help . This is rise and run .​

Answers

Answer:

Rise 4 and runs -10

Step-by-step explanation:

So the slope is 4/-10

Does this graph represent a function? Why or why not?

A. No, because it fails the vertical line test.

B. No, because it is not a straight line.

C. Yes, because it is a curved line.

D. Yes, because it passes the vertical line test.​

Answers

Answer:

A. No, because it fails the vertical line test.

Step-by-step explanation:

A because is dosent pass the vertical line test

Can someone pls help me pls!

Answers

Answer:

refer to the picture attached for steps

How would you write the following expression as a sum or difference?

Answers

Answer:

B

Step-by-step explanation:

Look at the expression inside the log( ).  Work from the outside in, so to speak.  First, there's a quotient (the cube root divided by 3x).

[tex]\log \left( \frac{\sqrt[3]{2-x}}{3x} \right) = \log\left(\sqrt[3]{2-x}}\right) - \log{3x}[/tex]

The cube root can be written using a rational exponent.

[tex]\log\left(\sqrt[3]{2-x}}\right) - \log{3x} = \log \left( (2-x)^{1/3} \right) - \log{3x}[/tex]

Use the exponent property to move the exponent 1/3 out.

[tex]\log (2-x)^{1/3} - \log{3x} = \frac{1}{3} \log{(2-x)} - \log{3x}[/tex]

This now matches answer choice B.

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