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3 years ago

Consider P(x) = x4(x − 2)3(x + 1)2. For each zero, determine if the graph crosses the x-axis. How do you know?

1 answer:

3 0

To find zeros of this polynomial, set the poly = to zero and solve the resulting equation for x.

Please clarify this: does your "x4" mean x^4 (x to the 4th power), or something else?

Very important: for clarity use the symbol " ^ " to indicate exponentiation.

My educated guess is that by "P(x) = x4(x − 2)3(x + 1)2" you actually meant

P(x) = x^4(x − 2)^3(x + 1)^2, which is a 6th order polynomial.

Set this equal to zero and attempt to solve the resulting equation for x. You should expect to find up to six zeros (or solutions).

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What is the difference of the polynomials

yarga [219]

The correct answer is A.

In order to find the correct answer in this one, you have to group all of the like terms. In this case, each term is unique with the exception of the x^2y^3 terms. Therefore, we need to check those first.

4x^2y^3 - (-5x^2y^3)

4x^2y^3 + 5x^2y^3

9x^2y^3

Since this term is included, we look for answers that involve this one. A is the only one that does. Plus, it includes each other term unchanged (which is good since there are no other like terms). Therefore, A is your answer.

3 0

3 years ago

Read 2 more answers

PLZ HELP/...... :) :?

alexdok [17]

Answer:

3 gallons of diesel weight = 22.2 pounds

The constant of variation = 7.4

The quantities vary directly

Step-by-step explanation:

Given:

5 gallons of gas weights = 37 pounds

To find

a) the weight of 3 gallons of gas.

b) if the quantities vary directly or inversely.

c) the constant of variation.

Solution:

Applying unitary method to find weight of 3 gallons of gas.

If 5 gallons weight = 37 pounds

Then, 1 gallon will weight = $\frac{37}{5}$ =7.4 pounds

Thus, 3 gallons will weight = $3\times 7.4$ = 22.2 pounds

Listing out the data we have:

1 gallon = 7.4 pounds

3 gallons = 22.2 pounds

5 gallons = 37 pounds

From the data, we find out that as the number of gallons of gas increases the weight of gas also increases. This shows that these quantities are directly proportional to each other.

The unit rate of the quantities is called the constant of variation.

Unit rate: 7.4 pounds per gallon

Thus, the constant of variation = 7.4

8 0

3 years ago

A stadium in pennsylvania seats 107,282 people. A stadium in arizona seats 71,706 people. Based on these facts how many more peo

Juli2301 [7.4K]

Answer:

35,576

Step-by-step explanation:

If you don't have a calculator, you can always do this by hand.

107,282 -71,706 = 35,576

The larger stadium has 35,576 more seats.

6 0

3 years ago

Which situation could be represented by the expression c−5?

Sholpan [36]

Answer:

Step-by-step explanation:

candy = c. and Isabelle has five fewer meaning to subtract from the amount destiny has (c)

6 0

2 years ago

Stefan estimates the income and expenses for renting

Elena-2011 [213]

Answer/Step-by-step explanation:

If total income is more than total expenses, she should rent it. If the total income is less than the total expenses, she should not rent it.

Total income estimated in a month:

Sales: $950 per week = 950*4weeks = $3,800 per month

Services: $2,875 per month

Total estimated income per month = $(3,800 + 2,875) = $6,675

Total expenses estimated in a month:

Rent: $4,500 per month

Travel: $7.5 per day = 7.5*7days = $52.5 per week.

Assuming there are 4 weeks in a month, expenses for travel in a month will be:

$52.5*4 = $210

Merchandise: $1,650 per month

Total expenses estimated per month = $(4,500 + 210 + 1,650) = $6,360

Total estimated income ( > total estimated expenses in a month, therefore, Stefan should rent the phone accessory store. She will make profit.

5 0

4 years ago