1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet [91]
3 years ago
8

The function f(x) is a quartic function and the zeros of f(x) are -3,-1,4, and 6. Assume the leading coefficient of f(x) is 1. W

rite the equation of the quartic polynomial in standard form.
Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

Answer:

f(x) = x⁴-6x³-13x²+66x+72

Step-by-step explanation:

Factors are: (x+3)(x+1)(x-4)(x-6)

[(x+3)(x+1)][(x-4)(x-6)]

[x²+3x+x+3][x²-4x-6x+24]

(x²+4x+3)(x²-10x+24)

x⁴+4x³+3x²-10x³-40x²-30x+24x²+96x+72

f(x) = x⁴-6x³-13x²+66x+72

You might be interested in
A factory adds three red drops and two blue drops of coloring to white paint to make each pint purple The factory will make 50 g
Radda [10]

30 gallons of red paint  &  20 gallons of blue paint

Step-by-step explanation:

The ratio of red to blue paint drops to make purple paint is 3 : 2

Therefore the total number of gallon, in this case, fifty (50) is equivalent to the total of two ratios (which is 3 + 2 5)

If 5 in the ratio = 50; what about 2  & 3

5 = 50

2 = x

After cross multiplication;

5x = 50 * 2

X = 100/5

X = 20

The same for ratio 3

5 = 50

3 = y

5y = 50 * 3

y = 150/5

y = 30

The answer is therefore; 30 gallons of red paint to 20 gallons of blue paint

Learn More:

For more on ratios check out;

brainly.com/question/11662922

#LearnWithBrainly

7 0
3 years ago
Vanessa and Zack are playing a game where the player with the lower score wins.
dezoksy [38]
What is the question
3 0
3 years ago
Read 2 more answers
Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number
zhannawk [14.2K]

Answer:

x + y = 15

0.5x + 0.65y = 9

Step-by-step explanation:

x = number of oranges

y = number of apples

total of apples and oranges is 15 so x + y = 15

total cost of apples and oranges is $9 so 0.5x + 0.65y = 9

Calculation

y = 15 - x

0.5x + 0.65(15-x) = 9

0.5x - 0.65x + 9.75 = 9

-0.15x = - 0.75

x = 5

y = 15 - x = 15 - 5 = 10

6 0
2 years ago
There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing of the
muminat

Answer:

10.2% chance

Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

\frac{12}{20}  *  \frac{11}{19} *  \frac{10}{18} *  \frac{9}{17} =  \frac{11880}{116,280} = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

6 0
3 years ago
Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2
Gelneren [198K]

Answer:

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: It weighs 2 lbs or more

Event B: Delivered by UPS

15% of the packages that are delivered by UPS weighs 2 lbs or more.

This means that P(A \cap B) = 0.15

More than 2 lbs:

15% of 20%(UPS)

93% of 80%(Not delivered by UPS). So

P(A) = 0.15*0.2 + 0.93*0.8 = 0.774

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

3 0
3 years ago
Other questions:
  • A store is going out of business. Everything is marked down 40%. How much do you pay now for an item that used to cost $150?
    11·1 answer
  • 9x-18i=-36+6yi solve for x and y
    13·2 answers
  • A park is in the shape of a rectangle. The park authorities are planning to build a 2-meter-wide jogging path in the park (shown
    13·1 answer
  • Sally has saved one thousand five hundred cents over nine days from selling lemonade how many dollars does sally have?
    12·1 answer
  • Acellus
    6·1 answer
  • Find the lateral area of the cone in terms of π.
    5·1 answer
  • A rectangle has an area of (12m-30n) square units. Its width is 6 units. Factor the expression for the area to find an expressio
    6·1 answer
  • Answer ease so confused
    9·1 answer
  • NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.Don't guess please.
    6·1 answer
  • Determine the equation if the line shown in the graph
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!