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
KatRina [158]
3 years ago
6

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

Mathematics
2 answers:
poizon [28]3 years ago
8 0

Answer:  The required number is 3.  

Step-by-step explanation:  Given that the roots of the function f(x)=x^2-2x-3 are shown below :

x=-1,x=?

We are to find the missing number.

To find the missing number, we must solve the quadratic equation f(x) = 0.

We have

f(x)=0\\\\\Rightarrow x^2-2x-3=0\\\\\Rightarrow x^2-3x+x-3=0\\\\\Rightarrow x(x-3)+1(x-3)=0\\\\\Rightarrow (x+1)(x-3)=0\\\\\Rightarrow x+1=0,x-3=0\\\\\Rightarrow x=-1,3.

Therefore, the roots of the given equation are x = -1 and x = 3.

Thus, the required number is 3.  

mote1985 [20]3 years ago
7 0

I hope you were looking for this.

please leave me 5 stars if you think it is helpful..

You might be interested in
How exactly do you do this because my teacher didn't teach me how
mylen [45]
The area is found by base x height

To find the missing height in the first one you divide 147 by 15 3/4 and get 9 1/3. 
To find the missing base in the second one you divide 140 5/8 by 11 1/4 and get 12 1/2.
To find the missing height in the third one you divide 151 3/16 by 10 1/4 and get 14 3/4. 

Make me brainliest ! :)

6 0
3 years ago
Prove the following using a direct proof:
hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

The sum of the squares = 25 + 36 + 49 + 64

                                       = 174

Also,

Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;

-10^{2} = 100

-11^{2} = 121

-12^{2} = 144

-13^{2} = 169

The sum of the squares = 100 + 121 + 144 + 169

                                     = 534

Therefore, the sum of the squares of 4 consecutive integers is an even integer.

8 0
3 years ago
Kylie starts with $145 in her piggy bank. Each month she adds $20.
ella [17]
2. an=20+an−1 and a1=145

she starts with 145 so a1=145 and then adds 20 every month: an=20+an−1
3 0
3 years ago
Read 2 more answers
PLEASE HELP
Sergeeva-Olga [200]

Answer:

y = 2

Step-by-step explanation:

I will solve this problem, using the elimination method.

-2(5x - 3y) = -11

-10x + 6y = 22

2x - 6y = -14

Subtract and divide for x

-8x = 8

x = -1

Input -1 into the equations

2(-1) - 6y = -14

-6y - 2 = -14

-6y = -12

y = 2

Thanks!

5 0
3 years ago
Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant
Dvinal [7]

Answer:

y = 2x + 1

Step-by-step explanation:

Given a point and the slope, we can plug in these values into the equation to find the value of b:

y = mx + b

3 = 2(1) + b

3 = 2 + b

1 = b

Plug b into the equation:

y = 2x + 1

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can i plz get some help with this!<br>its about finding the conjecture<br>​
    15·1 answer
  • A value of two standard deviation from the mean is more likely to occur than a value three standard deviations from the mean
    6·2 answers
  • HURRY!!!!!!! Which symbol replaces ? to make the statement true? 16÷4+12 ? 4+24÷2 A.&lt; B.= C.&gt;
    10·2 answers
  • Pls answer this with an explanation if you can
    8·1 answer
  • Solve for x.<br><br><br><br> 2x/3 + 1 = 3<br><br> x = 1 <br> x = 6<br> x = 3<br> x = 2
    10·1 answer
  • Which word is used to name each of the bold numbers and variables?
    11·2 answers
  • 684303 rounded to nearest thousand
    7·1 answer
  • A surveyor is surveying a street. The surveyor is standing at point A looking down the street at a No Parking sign at point R an
    11·1 answer
  • Help!!<br> Show how you solved it for both thank you
    13·2 answers
  • Please help, I don't understand this!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!