MATHEMATICS HIGH SCHOOL

log3(2x-5)=2

Answer is 41/2.  Why?

Answers

Answer 1
Answer: I guess that your question is:

log[6*(2x-5)]=2

So, we can apply this property of log

log_b~(a)=c\Leftrightarrow a=b^c

them...

log[6*(2x-5)]=2

6*(2x-5)=10^2

12x-30=100

12x=100+30

12x=130

x=(130)/(12)

simplifying

\boxed{\boxed{x=(65)/(6)}}
Answer 2
Answer:

Answer:

0.954243x−2.385606=2

Let's solve your equation step-by-step.

0.954243x−2.385606=2

Step 1: Add 2.385606 to both sides.

0.954243x−2.385606+2.385606=2+2.385606

0.954243x=4.385606

Step 2: Divide both sides by 0.954243.

0.954243x/0.954243 = 4.385606/0.954243

x=4.595901

Answer:

x=4.595901

Step-by-step explanation:

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A single fair is tossed. find the probability of rolling a number grater than 4

Answers


Probability of the outcome you're looking for =

       (number of ways your outcome can happen)
divided by
       (total number of possible outcomes) .

Total number of possible outcomes when a single fair is tossed = 6 .

The outcomes you're looking for:  5  or  6 . (two of them) .

Probability  =  2 / 6  =  1/3  =  33-1/3 % 


The value of Jennifer's stock portfolio (in dollars) is given by the function f(t) = -3t +72t + 5000, where t is the time in months since she opened the account. After how many months will her portfolio be at a maximum? What is the maximum value of the portfolio?

Answers

Answer:

a) The portfolio will be at maximum after 12 months (1 year)

b) The maximum value of the portfolio is $5432

Step-by-step explanation:

The function that models Jennifer's stock portfolio (in dollars) is f(t)=-3t^2+72t+5000, where t is the time in months since she opened the account.

We complete the square to obtain this function in vertex form:

Factor -3 from the first two terms

f(t)=-3(t^2-24t)+5000.

Add the zero pairs -3(+144),-3(-144)

f(t)=-3(t^2-24t+144)+5000+-3(-144).

Factor the perfect square trinomial and simplify.

f(t)=-3(t-12)^2+5432.

The vertex of this function is (h,k)=(12,5432)

a) The portfolio will be at maximum when t=12, the h-value of the vertex

b) The maximum value of the portfolio is the k-value of the vertex which is 5432

Function form
5x-7y=14

Answers

function form is when you put x in, you get y so the correct equaiton should be y=so and so

so

5x-7y=14
subtrac 5x form both ssides
-7y=14-5x
divide both sides by 7
-y=2-5/7x
multiply by -1
y=5/7x-2
that is it

Bentuk sederhana dari(5a+7)-(2a+3) adalah

Answers

(5a+7)-(2a+3)
Distributhing - through parantheses
5a+7-2a-3
5a+4-2a
3a+4
The answer  is:  3a+4

How are fraction and decimals related

Answers

They are both parts of a whole
Fractions and decimals are simply two different ways of expressing a number. A fraction expresses a number in the form of two other numbers, where the top number in the fraction is being divided by the bottom number. ie. if the fraction was written as x/y, then the fraction would be expressing the number x divided by the number y. A decimal, on the other hand is an expression of a number in a more traditional form, in one single line of numbers, with a decimal point preceeding all of it. To convert a fraction to a decimal, we do what the fraction says, in that we divide the top number by the bottom number. For example, the fraction 3/4 (3 quarters) = 0.75, as 3 divided by 4 = 0.75. The reason we use fractions and dont just make everything a decimal, is that sometimes it is easier to calculate something or express a number using a fraction. For example, when working with irrational numbers, the decimal is actually infinite, so it is impossible to write as a decimal and be 100% accurate, however if written as a fraction, it can be expressed exactly. For example the fraction 1/3 = 0.333333 where the 3s continue forever :))

Solve for x. (Round to the nearest thousandth.)
3x - 8 = 15

Answers

Answer:x = 7.667

Step-by-step explanation:

3x - 8 = 15

     + 8 = 23

3x = 23

divide 3 by 3 and 23 so you get x by itself

answer = 7.667

Answer:

x = 7.667

Step-by-step explanation:

3x - 8 = 15 (Rearrange expression)

-8 - 15 = -3x (Combine like terms)

-23 = -3x (Divide)

x = 7.667
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