Which of the following best describes the relationship between (x-2) and the polynomial 2x^3+x^2-3A) (x-2) is a factor
B) (x-2) is not a factor
C) it is impossible to tell whether (x-2) is a factor

Answers

Answer 1

Answer:

(x-2) is not a factor of the polynomial 2x³ + x² – 3. Then the correct option is B.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

⇒ 2x³ + x² – 3

The factor of the polynomial will be

⇒ 2x³ + x² – 3

⇒ 2x³ + 3x² – 2x² – 3

⇒ x²(2x + 3) – 1(2x + 3)

⇒ (x² – 1)(2x + 3)

⇒ (x – 1)(x + 1)(2x + 3)

(x-2) is not a factor of the polynomial 2x³ + x² – 3.

Then the correct option is B.

More about the factorization link is given below.

brainly.com/question/6810544

#SPJ2

Answer 2

Answer: If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynominal is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.

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A school principal wants to determine which type of speaker the students prefer to invite to an assembly for the entire student population. Which survey method would produce the best representative sample----A) survey every fifth person who shops at a mall B) survey all of the students on the student council C) Survey every tenth student entering the school one morning D) survey all the students who went to the last basketball game. PLS HELP

Answers

Answer:

Option C is correct.

Step-by-step explanation:

C- Survey every tenth student entering the school one morning.

This is because the survey is related to the entire student population of a school as they want to know which type of speaker the students prefer to invite to an assembly.

Reasons for incorrect options:

Option A is not true as it will relate to a mall survey. Option B is also incorrect as it will only survey few students of a student council that cannot represent a whole population. Option D is related to basketball survey, it has nothing to do with any speaker chosen for an assembly.

Since the question asks for the best representative sample of the entire student population, the answer is
C) survey every tenth student entering the school one morning.

A 120 watt light bulb uses about 0.1 kilowatt of electricity per hour.if electricity costs $0.20 per kilowatt hour how much does it cost to have a bulb on for an hour?

Answers

A 120 watt light bulb uses about 0.1 kilowatt of electricity per hour.if electricity costs $0.20 per kilowatt hour. Let's solve how much does it cost to have a bulb on for an hour. => 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per => 0.1 kilowatt per hour * 0.20 = 0.02 dollars in an hour.

Answer:

$0.02 is the cost to have the bulb on for an hour

Step-by-step explanation:

A 120 watt light bulb uses about 0.1 kilowatt of electricity per hour

We can assume 1 kilowatt per hour = 1 unit

So total units of electricity consumed in 1 hour = 0.1 × 1

= 0.1 kilowatt hour or 0.1 unit

Since cost of one unit or 1 kilowatt hour is = $0.20 per unit or kilowatt hour.

Therefore, total cost to have this bulb on for an hour = Number of units consumed by the light bulb × per unit cost

= 0.1×0.20

= $0.02

$0.02 is the cost to have the bulb on for an hour.

One ton equals to x pounds what does the x stand for

Answers

the # of pounds that are in a ton

- - If we need to find the "x" lets first find out what it means.

If its asking you for x pounds in a ton, then you have to find the number of any given pounds that can be found in a ton.

In this case one ton = 2,000 pounds.

What is the ratio of ounces to pounds in the weight of an object

Answers

Answer:

1 : 0.0625

Step-by-step explanation:

We are asked to find the ratio of ounces to pounds in the weight of an object.

We know that 1 pound equals 16.

Ratio of pound to ounce= 1 : 16

To find the ratio of ounces to pounds, we will divide 1 by 16.

$(1)/(16)=0.0625$

Ratio of ounce to pound= 1 : 0.0625

Therefore, our required ratio is 1 : 0.0625.

1 Pound = 16 Ounces
1 Ounce = 0.0625 Pounds

What's 20% as a decimal?

Answers

20%
= 20/100
= 0.2

To convert 20/100 into a decimal, you move left of 20 two decimal places.

The final answer is 0.2.

since its in the tens you would move the decimal two places to the left
0.20 or 0.2

Mrs. Smith decides to buy three sweaters and a pair of jeans. she had $120 in her wallet. if the price of jeans is $45,what is the highest possible price (p) of a sweater, if each sweater, if each sweater is the same price? write, solve, and graph the inequality.

Answers

Answer:

$3s+2j\leq $120$ . The sweaters cost $10 or less each. We graph it on a number line at 10 and use a filled in dot pointing towards zero for less than.

Step-by-step explanation:

Mrs. Smith buys 3 sweaters (represented by 3s) and 2 jeans (represented by 2j) for a total of at most $120. We don't know the total but we do know she couldn't spend more than $120.

We write $3s+2j\leq $120$ .

We know the jeans cost $45 each, so j=45. We substitute,

$3s+2(45)\leq $120\n3s+90\leq $120$