I need help on this problem please!

Write an exponential function to describe the given sequence of numbers, assuming that the first number in the sequence correspo

Fantom [35]

Answer:

$y = 5(6) {}^{x}$

Step-by-step explanation:

A exponential function is represented by

$y = ab {}^{x}$

where a is the vertical stretch and b is the base and x is the nth

power of x

Since the first number corresponds with zero, that means our y intercept is the first number.

This means when x=0 , y=5 so let find the value of 5.

$5 = ab {}^{0}$

b to the 0th power equal 1 so

$5 = a \times 1$

$a = 5$

Our equation is for now

$y = 5b {}^{x}$

Now let plug in 1,30

$30 = 5b {}^{1}$

Divide 5 by both sides

$6 = b {}^{1}$

Anything to the 1st power is itself so b equal 6.

So our equation is

$y = 5(6) {}^{x}$

6 0

2 years ago

What is the logarithmic form of the solution to 102t = 9?

Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is $t = \frac{\log(9)}{2}$

<h3>How to rewrite the equation</h3>

The expression is given as:

$10^{2t} = 9$

Take the logarithm of both sides

$\log(10^{2t}) = \log(9)$

Apply the power rule of logarithm

$2t\log(10) = \log(9)$

Divide both sides by log(10)

$2t = \frac{\log(9)}{\log(10)}$

Apply change of base rule

$2t = \log_{10}(9)$

Divide both sides by 2

$t = \frac{\log_{10}(9)}{2}$

Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$

Read more about logarithms at:

brainly.com/question/25710806

8 0

2 years ago

D = 4ac - b²<br><br>true or false<br><br>Answer:<br><br>Reason:

Naily [24]

Answer: FALSE

Reason: The Discriminant determines how many or what are the nature of the roots. To get the Discriminant of a quadratic equation, find the square the value of 'b' subtracted to the product of 4, the value of 'a', and the value of 'c'.

hope this helps :)

4 0

3 years ago

Read 2 more answers

Help plz I beg you plz

zzz [600]

20 is the answer to this problem

6 0

3 years ago

Mel has to put the greatest number of

Dmitry_Shevchenko [17]

Mel should use the least common multiple to solve the problem

<u>Solution:</u>

Given, Mel has to put the greatest number of bolts and nuts in each box so each box has the same number of bolts and the same number of nuts.

We have to find that should Mel use the greatest common factor or the least common multiple to solve the problem?

He should use least common multiple.

Let us see an example, suppose 12 bolts and nuts are to be fit in 6 boxes.

Then, if we took H.C.F of 12 and 6, it is 6, which means 6 bolts and nuts in each box, but, after filling 2 boxes with 6 bolts and nuts, there will be nothing left, which is wrong as remaining boxes are empty.

So the remaining method to choose is L.C.M.

Hence, he should use L.C.M method.

6 0

3 years ago