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
vitfil [10]
3 years ago
10

Use the drawing tool(s) to form the correct answer on the provided number line.

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: x^2-x-12

This is now a quadratic expression for which we can find its factor form:

x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

You might be interested in
PLS Help Asap! i will award brainliest On her way to her grandmother's house, Jackie traveled three times as many miles by train
nirvana33 [79]

Answer:

24 miles.

Step-by-step explanation:

Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.

Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is 4\times3=12 units.

Total number of units: 12units+4units+1unit=17units

17units=34

Divide 17:

1 unit=2

The number of miles travelled by train is 12 units:

12units=2\times 12=24

She travelled 24 miles by train.

5 0
3 years ago
How do i slove 7/20.3 division problem step by step
charle [14.2K]
Move the decimal point one to the right on both sides so it would be 70/203. After that you can divide it by adding more 0s to 70. Like, 70.00 until you get an answer
6 0
3 years ago
P+7+(3m+1)+2(m+p) simplify the expression
lukranit [14]
P+5m+2p+8

I believe.

Simply apply the rule of distributive property.
3 0
3 years ago
A certain group of women has a 0.86​% rate of​ red/green color blindness. If a woman is randomly​ selected, what is the probabil
Mariana [72]

Answer:

The probability that a randomly selected woman has red/green color blindness is 0.9914

Step-by-step explanation:

Given that the proportion of women having red/green color blindness is 0.86%

Represent that with p

p= 0.86\%

Convert proportion from percentage to decimal;

p= \frac{0.86}{100}

p= 0.0086

In probability; opposite probabilities add up to 1;

Let the probability that a woman selected have red/green color blindness be represented with q;

p + q = 1

Subtract p from both sides

p - p + q = 1 - p

q = 1 - p

Substitute 0.0086 for p

q = 1 - 0.0086

q = 0.9914

<em>Hence, the probability that a randomly selected woman has red/green color blindness is 0.9914</em>

3 0
3 years ago
What can this simplify to?
Mkey [24]
<u>→ Chapter : Exponentiation ←</u>
<u><em>≡ We know that:</em></u>
⇔ \frac{a^{x}}{a^{y}}=a^{(x-y)}
⇔ \frac{1}{a^{-b}}=a^{b}

<u><em>≡ Solution:</em></u>
⇒ \frac{4^{2}g^{3}p^{-2}}{4^{5}g^{12}m^{-5}}
⇒ [4^{(2-5)}].[g^{(3-12)}].[p^{-2}].[m^{5}]
⇒ [4^{-3}].[g^{-9}].[p^{-2}].[m^{5}]
∴ \boxed{\frac{1}{64}g^{-9}p^{-2}m^{5}} or \boxed{\frac{m^{5}}{64g^{9}p^{2}}}

7 0
3 years ago
Other questions:
  • Need help on this please
    14·2 answers
  • What is the third angle of a right triangle if one of the angles measures 51.1
    9·1 answer
  • Jackie brought 6 books for b dollars each and 3 magazines for m dollars each. Which expression represents the total amount in do
    6·1 answer
  • And an electronics warehouse ships TVs and DVD players to retailers all throughout the United States. The weight of three televi
    12·1 answer
  • A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 45 minutes? In 1 hour?
    8·1 answer
  • Its 47% kldkfifhnknskdib do sibk jmnbsinslknd
    11·1 answer
  • Answer choices <br> 15<br> 18<br> 20<br> 30<br> Please help no links I will report
    13·1 answer
  • What is the area, in square centimeters, of a circle that is 8 centimeters
    13·1 answer
  • Choose the correct simplification of the expression a2 ⋅ a3.
    6·1 answer
  • Please help me with this. an explanation would be great as well
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!