Find all real zeros of the function.
f(x)=4(x^2-1)(x-3)(x+3)^2

Answers

Answer 1
Answer: 4(x^2 - 1)(x - 3)(x + 3)^2 = 0
(x + 1)(x - 1)(x - 3)(x + 3) = 0
x = -1, 1, 3, -3

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The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

Answers

we have

f(x)=x^(2)-2x-3

Find the roots

Equate the function to zero

x^(2)-2x-3=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^(2)-2x=3

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^(2)-2x+1=3+1

x^(2)-2x+1=4

Rewrite as perfect squares

(x-1)^(2)=4

Square root both sides

(x-1)=(+/-)2

x=1(+/-)2

x=1+2=3

x=1-2=-1

therefore

the answer is

x=3

x^2 -2x -3 = 0

(x-3)(x+1)=0

x+1=0
x=-1

x-3=0
x = 3 

so the missing number is 3

A bacteriologist estimates that there are 5.2×10^4 bacteria growing in each of 20 petri dishes. About how many bacteria in total are growing in the petri dishes? Express your answer in scientific notation

Answers

Answer:

1X10^6

or

1.04x10^6

Step-by-step explanation:

You start by multiplying 5.2x10^4 by 20 because there are 20 petri dishes with this amount growing, and you get 1,040,000. Now we need to convert it to scientific notation. We know that 1,000,000 is 10^6, so we would move the decimal to the left 6 places and get 1.04x10^6. This is in scientific notation, but we need to keep in mind significant figures (sig figs), so your final answer would be 1x10^6, if that is not what your instructor is looking for, try 1.04x10^6.

Final answer:

The total amount of bacteria growing in the 20 petri dishes is calculated by multiplying the amount of bacteria in each dish (5.2×10^4) by the number of dishes (20), which gives a result of about 1.04×10^6 bacteria.

Explanation:

Given that there are approximately 5.2×10^4 bacteria in each dish and there are 20 petri dishes, we can find the total amount of bacteria by multiplying these two values together. The calculation is as follows: 5.2×10^4 bacteria/dish * 20 dishes = 1.04×10^6 bacteria. Therefore, there are about 1.04×10^6 bacteria in total growing in the petri dishes.

Learn more about Scientific Notation here:

brainly.com/question/2005529

If you invest $2,000 today in a bank that gives you a 4 percent annual interest rate, which of these items can you buy in seven years?

Answers

Just the Mountain bike, cause 4% of $2000 is, $80. and $80 for each year for 7 years make $560. now after 7 years your bank account has $2560. Therefore, you can buy a mountain bike, and have $60 left over, if there is no tax included. But if there is tax, your going to be still short by $115.(calculated according to florida's tax, that is 7%.) Anyways if the tax is over 2% you cant get that bike.
All of them 

put this in a calculator: 2000*20%*7 then take away the prices or bills and thats how much money is left after the shopping spree

What is the value of 6P6?  A.1  B.36  C.720  D.46,656

Answers

the\ permutationon:\ \ n\ P\ x= (n!)/((n-x)!) \n \n6\ P\ 6= (6!)/((6-6)!) = (6!)/(0!)= (2\cdot3\cdot4\cdot5\cdot6)/(1)=720

Ans.\ C

The value of 6P6 permutation is 720 .

To calculate the value of 6P6 ( permutation of 6 objects taken 6 at a time ), we can use the formula :

nPn = n !

where n is the total number of objects .

In this case, n = 6. So, substituting it into the formula :

6P6 = 6 !

Calculating the factorial of 6 :

6! = 6 × 5 × 4 × 3 × 2 × 1

= 720

Therefore, the value of 6P6 is 720 .

Hence, the correct answer is C . 720 .

To know more about permutation click here :

brainly.com/question/7541388

#SPJ6

Word problem: A High School had a musical in which students ($5 tickets) and adults ($7 tickets) attended. If a total of 47 tickets were sold and they made a total of $269. How many student tickets were sold and how many adult tickets were sold?

Answers

Answer:

30 of them were students

17 were adults

Step-by-step explanation:

bunny and rabbit problems

if they were all adults

7 x 47 = 329

329 - 269 = 60

60/ (7-5) = 30

30 of them were students

17 were adults

Roy is planning a trip to Iceland. His plane ticket will cost kr 60,170 (60,170 Icelandic krónur), his lodging will cost kr 47,249, he needs kr 39,877 for food, and his Icelandic friend has suggested that he bring at least kr 41,054 for sightseeing and spending money. However, Roy has only kr 160,500 saved up. How much more will he need before he can go on his trip?a. kr 23,350
b. kr 26,673
c. kr 27,850
d. kr 28,741

Answers

Answer:   c. kr 27,850

Step-by-step explanation:

Given: The cost of plane ticket =  kr 60,170

The cost of lodging =  kr 47,249

The cost of food = kr 39,877

The amount suggested by friend for sightseeing and spending money = kr 41,054

Total cost for trip =60,170+47,249+39,877+41,054

=kr\ 188,350

Saved money by Roy = kr 160,500

The amount needed before he can go on his trip=188,350- 160,500

=kr\ 27,850

Hence, he need kr 27,850 before he can go on his trip.

c. kr 27,850had a test