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belka [17]
3 years ago
15

Given f(x) = the quantity of 4x plus 1, divided by 3 solve for f-1(3).

Mathematics
1 answer:
algol133 years ago
6 0
First we need to find inverse function of f(x) which is written in a form of (f(x))^(-1)
That means that we are actually looking for function f(y) and we need to solve this equation for "y"

y=(4x + 1)/3
3y = 4x + 1
4x = 3y - 1
x = (3y - 1) / 4
f(y) = (3y - 1)/4

Now we simply put the value of 3 instead of y and find the answer:
f(y=3) = (3*3-1)/4 = 2

Answer is 2
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pshichka [43]

Answer: 24/87 or 8/29

Step-by-step explanation:

24+13+15+10+15+10=87, the total amount of M&M's.

24 are brown, so 24/87 chance that he will draw a brown one.

24/87 = 8/29 simplified.

3 0
3 years ago
What is the solution to this equation? 5(x - 6) + 4 = 7x - 4
dimaraw [331]

5(x - 6) + 4 = 7x - 4

5x - 30 + 4 = 7x - 4

5x - 26 = 7x - 4

5x - 26 + 4 = 7x

5x - 22 = 7x

-22 = 7x - 5x

-22 = 2x

-22 / 2 = x

-11 = x

x = -11 is the solution to the given equation

7 0
3 years ago
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Miriam owes $650 on a cre
Sauron [17]

Answer:

<u>The correct answer is D. 650.oo, 661.70, 673.61, 685.74, 698.08</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Compound interest rate charged by Miriam's credit card company = 1.8% monthly

2. If she makes no purchases or payments, she will go more and more in debt.  Which of the following sequences describes her increasing monthly balance?​

Miriam's current credit card balance = US$ 650

Miriam's credit card balance in one month = 650 * 1.018

Miriam's credit card balance in one month = 661.70

Miriam's credit card balance in two months = 661.70 * 1.018

Miriam's credit card balance in two months = 673.61

Miriam's credit card balance in three months = 673.61 * 1.018

Miriam's credit card balance in three months = 685.74

Miriam's credit card balance in four months = 685.74 * 1.018

Miriam's credit card balance in four months = 698.08

<u>The correct answer is D. 650.oo, 661.70, 673.61, 685.74, 698.08</u>

6 0
3 years ago
Shinto is serving pizza. He serves 1/5 of the pizza to one friend and 5/12 to another friend. If he had 9/10 of a pizza to start
never [62]

Answer: 17/60

Step-by-step explanation:

Change all of the fractions to have a common denominator:

LCM of 10, 12, 15 is 60

You get 12/60, 25/60, and 54/60.

54/60 is what he had at the start, and so you can just subtract what he gave away

54/60-12/60=42/60

42/60-25/60=17/60

17 is a prime number so you cannot simplify the fraction

3 0
3 years ago
Read 2 more answers
Find the infinite sum of 10,5,2.5,1.25...
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Notice this is a geometric progression since each number multiplied by some factor equals the next number in the sequence, in this case,

10 \times r = 5 \Rightarrow r=0.5

Then by applying the formula for sum to infinity of a geometric progression,
S_\infty = \frac{a}{1-r} = \frac{10}{1-0.5} = 20
3 0
3 years ago
Read 2 more answers
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