What would the exponential equation be ?

What Would The Exponential Equation Be ?

Answers

Answer 1

Answer:

The equation of the exponential function will be:

[tex]f\:\left(x\right)\:=\:ab^x[/tex]

          [tex]=\:\frac{3}{2}\left(2\right)^x[/tex]

Step-by-step explanation:

Given the table

Day         Bacteria

1               3

2              6

3              12

4              24

5              48

as

the x values have the same increment i.e. +1

and

the y values have common ratio i.e. 6/3 = 2, 12/6=2, 24/12=2

so it is indeed an exponential function

As we know that the exponential function is of the form

[tex]f\:\left(x\right)\:=\:ab^x[/tex]

As we know that the y-intercept of [tex]f\:\left(x\right)\:=\:ab^x[/tex] is (0, a).

so

[tex]\frac{3}{a}=2[/tex]        ∵ common ratio = successor y-value ÷ previos y-value

[tex]a=\frac{3}{2}[/tex]

so the value of a will be: 3/2

We also know that the common factor i.e. multiplier is 2 in this table, we know the value for b is 2.

Therefore, the equation of the exponential function will be:

[tex]f\:\left(x\right)\:=\:ab^x[/tex]

          [tex]=\:\frac{3}{2}\left(2\right)^x[/tex]


Related Questions

Given that C=33 °, b=10 in, and c=6 in. Find the distinct number of triangles.

Answers

It’s 300 because I am a math teacher and I know how to do it.

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph? Since the function is even, the outputs of a negative x-value and a positive x-value are the same. Since the function is even, the outputs of a negative y-value and a positive y-value are the same. The graph has rotational symmetry, so the point will be reflected across the y-axis. The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

Answers

I think it’s c? It needs to be formatted correct. Next time you should do that.

The correct option is,

⇒ Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Since, We know that;

A function is "even" when f(x) = f(−x) for all x.

Now, Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.

So, If point (6, 8) is one the points on the graph of f(x),

Then, f (6) = 8

And, since function is even, you can state that;

⇒ f(-6) = f(6) = 8.

This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.

Thus, The correct option is,

⇒ Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

Learn more about the function visit:

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6. Write the slope-intercept form of the equation of the line.
slope = -5/2, y
y – int = 2

Answers

Answer:

A. [tex]y=-\frac{5}{2} x+2[/tex]

P.S. Sorry, the first answer I input wasn't registered well

The answer is:
y = -5/2x + 2
Option 1

Explain the pattern for this sequence: -5, -9,-13

Answers

Answer-5 + -4 = -9. The answer is “add -4”

Step-by-step explanation:

Answer:

a n = − 4 n − 1

Step-by-step explanation:

Use the formula  a n = a 1 + d ( n − 1 )  to identify the arithmetic sequence.

0.31311311131111 is it a rational or irrational?

Answers

Answer:

rational

Step-by-step explanation:

This can be written as a fraction.

0.31311311131111/0.100000000000000

Hope this helps :D

Answer:

Irrational

Explanation:

doesn't terminate

doesn't repeat

another question!!! this one is easy but I forgot​

Answers

Answer:

I belive it is D because it has an arrow which would make it greater than or equal to

Simplify.
√3(√6+√15)

Answers

Not sure if you need it without rounding or anything, but in its exact form, the answer is 3√2 + 3√5.

Explanation: You take √3 and carry it to √6 and √15. This means doing √3 times √6 and √3 times √15. Doing so gives you √18 + √45. Simplifying the roots would give you 3√2 + 3√5. How you get from √18 to 3√2 is that you make a factor tree of 18. Any factor that is the same will be added to the coefficient. In this case, 3 would have to be your coefficient. The factors of 18 are 2, 3, and 3. If there are two of the same factors, you put them together as one. (In this case, the two 3’s would become one 3.) How you get from √45 to 3√5 is doing the exact same process that happened from getting √18 to 3√2 except you would make a factor tree of 45. (The factors of 45 are 5, 3, and 3. Two 3’s make one 3.) Therefore, your answer in exact form would be 3√2 + 3√5.
I hope this helps. Sorry if I did not understand the question correctly.

The required simplified solution of the given expression is (√2 + √5).

Given that, to simplify the expression √3(√6+√15).

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= √3(√6+√15)
= √3×√6 + √3 ×√15
= √3×√3×2 + √3 ×√3×5
= √3×√3(√2 + √5)
= 3(√2 + √5)

Thus, the required simplified solution of the given expression is (√2 + √5).

Learn more about simplification here:
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help please asap i will give you brainlist

Answers

Answer: R=5 D=10

Step-by-step explanation: If I am correct the radius is 5 while the diameter is 10. All you need to do is subtract 7 by 2 ( from the coordinates) giving you five. Now if you multiply 5 by 2 you get 10 which is the diameter. Hope this helps and best of luck.

Marcus got 3/4 of the questions on his science test correct. If he correctly answered 36 questions. How many questions were on the test?

Answers

Answer: 48

Step-by-step explanation:

36/3 =12

12+ 36 = 48

48-75% = 12

Hope this helps

help me pls i want to pass my math class

Answers

Answer:

D

Step-by-step explanation:

You know the slope has to be -5, because in the equation it says -5x. You know the y intercept has to be a number on the y axis, and since it says the y intercept is 4 in the equation, you would know its (0,4).

Is -0.7 repeating rational , whole , natural or an integer?

Answers

Answer:

rational bc it's a decimal

Step-by-step explanation:

Find the unknown side length. Round to the nearest tenth if necessary.
Leg = 5, hypotenuse = 16

Answers

leg b=15 or if rounded to the nearest tenth 15.2

Half the value of 3x-9 is x+37. What is the value of x?

Answers

Step-by-step explanation:

3x-9=2x+73

3x-2x=73+9

x=82

Answer:

x = 83

Step-by-step explanation:

3x-9 / 2 = x + 37

1. multiply both sides by 2 to get rid of the fraction

3x - 9 = 2x + 74

2. move the variable to one side and the numbers to another side

3x - 2x = 74 + 9

x = 83

On which number line do the points represent negative 4 and 1 over 2 and +3?


Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 3rd tick mark to the left of 0. A point labeled T is placed between the 4th and the 5th tick marks to the right of 0.

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is between the 4th and 5th tick marks to the left of 0. A point labeled T is placed between the 2nd and 1st tick marks to the left of 0.

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 2nd and the 3rd tick mark to the right of 0.



what is the answer PLZ help asap

Answers

Answer:

ITS A!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!=)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just put A :)

If leticia invested $12,000 in an account in which the interest earned is continuously compounded at a rate of %2.5 find the total amount after 15 years

Answers

Given:

Principal value = $12000

Rate of interest = 2.5%

To find:

Total amount after 15 years.

Solution:

Formula for amount discontinuously compounded interest is

[tex]A=Pe^{rt}[/tex]

where, P is principal, r is rate of interest and t is time in years.

Substitute P=12000, r=0.025 and t=15 in the above formula.

[tex]A=12000e^{0.025(15)}[/tex]

[tex]A=12000e^{0.375}[/tex]

[tex]A=12000(1.45499141462)[/tex]

[tex]A=17459.8969754[/tex]

[tex]A\approx 17459.897[/tex]

Therefore, the amount after 15 years is $17459.897.

Which one is correct? Please hurry :)

Answers

Answer:

b: 3 cm

Step-by-step explanation:

just set up a proportion 4.5/3 = x/2 and solve for x by multiplying across and getting the equation 3x=9 and then divide by 3.

Write the equation of the line that goes through (-2/3, 7/8) and is PARALLEL to 3x + 4y = 7

Answers

Answer:

6x+8y = 3

Step-by-step explanation:

we have 3x + 4y = 7

4y = -3x + 7

y = -3/4 x + 7/4

so slope is -3/4

2 parallel lines always have same slope

so the slope of our new line is -3/4

so y = -3/4 x + C

for c,

we have (x,y) = (-2/3,7/8)

7/8 = -3/4 * -2/3 + C

C = 3/8

so equation is

y = -3/4 x + 3/8

simplyfyig,

8y = -6x + 3

or, 6x+8y = 3

Solve for x and y.
y = 2/3x - 2
y = -x + 3

Answers

Answer:

1. x= 3y+6/2

y=2/3x-2

2.x=−y+3

y=−x+3

Step-by-step explanation:

1. Let's solve for x.

y=2/3x-2

Step 1: Flip the equation.

2/3x-2=y

Step 2: Add 2 to both sides.

2/3x-2+2=y+2

2/3x=y+2

Step 3: Divide both sides by 2/3.

2/3x/2/3=y+2/2/3

x= 3y+6/2

Let's solve for y.

y=2/3x-2

2. Let's solve for x.

y=−x+3

Step 1: Flip the equation.

−x+3=y

Step 2: Add -3 to both sides.

−x+3+−3=y+−3

−x=y−3

Step 3: Divide both sides by -1.

-x/-1=y-3/-1

x=−y+3

Let's solve for y.

y=−x+3

here are two graphs if you need a better explanation

HOPE THIS HELPS

who is correct science or religious​

Answers

Answer:

it depends on what you believe, butttt i would say science

Answer: Science.

Step-by-step explanation: In my opinion science makes more sense than religion because it has proof, but I do not have anything against religious people.

I just got confused with angle AED which I need to find the value of?

Answers

Answer:

you should find the value of 112°

Angles in triangle add to 180
So 180-79-73 =28 and 180 -37-96=47
Angles around a point add to 360 so
112 + 28 + 47 = 187 then 360 - 187 = 173
So angle AED = 173 degrees

PLLEAAASSEEE HELPPPO MEEEE I NEED THIS FASTTT!

Answers

I can’t see it .....

Pleas answer part A!!!!!!

Answers

Answer:

y=120x

Step-by-step explanation:

You can just divide all of the points (y/x) and they all equal to 120. And when you add it to the equation its y=120x

Anybody know the answer???
f (-5) = ??

Answers

Answer:

7

Step-by-step explanation:

The function is f(x) so if x is replaced with a number, that's the value that x is in the equation. In this case, it'll be -5, so go to -5 on your graph. The y value is 7.

Work out 5 x 10^6 / 4 x 10^4
Give your answer as an ordinary number.

Answers

Answer:

[tex]1.25 \times {10}^{2} = 125 [/tex]

Step-by-step explanation:

[tex] \frac{5 \times {10}^{6} }{4 \times {10}^{4} } = \frac{5}{4} \times \frac{ {10}^{6} }{ {10}^{4} } = 1.25 \times {10}^{2} = 125[/tex]

GUYS HELP FAST ILL MAKE IT WORTH YOUR TIME

Answers

Answer:

1 and 4 parallel lines are straight

Step-by-step explanation:

What point is a solution for the linear inequality below?

A. (4, 3)
B.(-2, 4)
C.(-4,1)
D.(1, -2)

Answers

Answer:

B.

Step-by-step explanation:

Any point in the highlighted (red) region will be in our solution set.

Note that our line is dotted. Thus, any points on the line is not in our solution set.

So, we can simply go through each point and check.

A is on the line. So, A is not a solution.

B is within the red region. Hence, B is our solution.

C is on the line. So, C is not a solution.

And D is not in the red region. So, D is not a solution.

Therefore, our answer is B.

Can someone please help me?

Answers

Answer:

$2000

Step-by-step explanation:

The value of the savings account is

v(m) = 2000(1.005)^m

where m is the number of months.

Compare with the formula for compound interest,

F = P(1 + r)^(nt)

where P = principal amount invested.

Answer: $2000

Which expression can be used to check the answer to 56=(-14)=-4?
- 14x-4
-4=(-14)
56x(-14)
-4--56

Answers

Answer:If i am correct i think the right answer is -14x-4

Step-by-step explanation:

a5b10
ab3
How do I simplify a s express using exponents

Answers

You do it like this 3(5•4) and that will be 60 I think I haven’t this type of work in a while!

please show work!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

The cylindrical part

Area of the cylindrical part = Circumference of the circle * height

Area of the cylindrical part = pi * d * height

Area = 3.14 * 10 * 9

Area =                                                                                282.6

Lid

Area = pi * r^2

r = 5

Area = 3.14* 5^2 * 2

Area =                                                                                 157

Total                                                                                    439.6                                                                        

I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.

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