Factorise x2 - 2x - 3

Answers

Answer 1
(x+1)(x-3)
x= -1,3
This is the answer
Answer 2

The factorization of x² - 2x - 3 is  (x+1)(x-3).

The given quadratic equation is,

x² - 2x - 3

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

Hence to factorize we can write the given quadratic equation as,

⇒ x² - 3x + x - 3

⇒ x(x-3) + (x - 3)

⇒ (x+1)(x-3)

Hence,

x² - 2x - 3 =  (x+1)(x-3)

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Related Questions

Help!!!! 20 points!!!!!!’

Answers

Answer:

option c is the correct answer

first take y raised to the power 4 common then cancel its power by y raised to the power 3

you get your answer

What inequality does the number line graph represent

Answers

Answer:

5x + 3 ≥ 18

Step-by-step explanation:

when solved, the inequality is x ≥ 3

x ≥ 3 indicates all values greater than 3, including 3, should be in the solution set

Which of the following will most likely produce sample proportions that are
normally distributed?
A. Many samples of 34 coin flips
B. Many samples of 14 coin flips
C. Many samples of 19 coin flips
D. Many samples of 9 coin flips

Answers

The answer you are looking for is 14.

PLEAZSEE HELP MEEEJEHSHD

Answers

Answer:

First gap:

√1000/16

= 8 seconds

Second gap:

Rearrange formula:

√d = 4t

40=√d

d = 6 meters.

1. p-4= -9+p
2. 4m-4= 4m
Extra Credit, need help

Answers

Answer:

1. No solution

2. No solution

Step-by-step explanation:

1. p-4=-9+p

   -4=-9

No solution

2. 4m-4=4m

    -4=0

No solution

If this helps please mark as brainliest

y=10x/3+19 find the y-intercept

Answers

Answer:

(0, 19)

Step-by-step explanation:

In slope-intercept form, the constant at the end of the equation is the value of the y-intercept.

You can also solve for the y-intercept by letting x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.

y = 10(0)/3 + 19

y = 0 + 19

y = 19

Therefore, the y-intercept is (0, 19).

The y-intercept is (0, 19).

What is the y-intercept?

The y-intercept is the point where the graph intersects the y-axis.

Given is an equation of a line, y = 10x/3+19

To solve for the y-intercept,

Put x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.

y = 10(0)/3 + 19

y = 0 + 19

y = 19

Therefore, the y-intercept is (0, 19).

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Customer: "A previous representative told me that I would receive a 17% discount on my $123.76 service plan. How much is the discount?" Representative: "You will receive a discount of __________

Answers

Final Price: $108.88
Savings: $22.30
You will receive a discount of $22.30

Answer:

$21.04

Step-by-step explanation:

123.76 x 17% = 21.0392 = 21.04

What is a solution to the system? y = x^2 + 2x - 15 y – 4x = -12

Answers

9514 1404 393

Answer:

  (x, y) = (-1, -16) or (3, 0)

Step-by-step explanation:

Perhaps you want to solve the system of equations ...

y = x^2 +2x -15y -4x = -12

Substituting the first expression for y into the second equation gives ...

  x^2 +2x -15 -4x = -12

  x^2 -2x -3 = 0 . . . . . . . . add 12

  (x -3)(x +1) = 0 . . . . . . .  factor

Solutions are the values of x that make the factors zero: x = 3, x = -1.

The corresponding values of y are ...

  y = -12 +4x

  y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}

The solutions to the system are ...

  (x, y) = (-1, -16) or (3, 0)

PLS HELP ASAP. NO LINKS
When z= 9, the value of z2 + 1 is

Answers

answer is 82

substitute z for 9

9^2 = 81+ 1= 82

SAT Scores The national average SAT score (for verbal and math) is 1028. Assume a normal distribution with o=92.
0
Round intermediate : -value calculations to two decimal places.

What is the 95th percentile score? Round the answer to the nearest whole number,

The 95th percentile score is ?

Answers

Answer:

Similar to your other question. Now, you're looking for the score such that this time, 0.99 corresponds to a z-score of approximately, which means

I need help on C......

Answers

Step-by-step explanation:

[tex]B=100e^{0.592t}[/tex]

c) To solve for t, take the natural logarithm of the above equation:

[tex]\dfrac{B}{100}=e^{0.592t}[/tex]

[tex]\Rightarrow \ln \left(\dfrac{B}{100} \right) = \ln e^{(0.592t)}=(0.592t)\ln e[/tex]

Recall that [tex]\ln e = 1[/tex] so we can rewrite the equation above as

[tex]0.592t = \ln \left(\dfrac{B}{100} \right)[/tex]

Finally, solving for t, we get

[tex]t = \frac{1}{0.592} \ln \left(\dfrac{B}{100} \right)[/tex]

which measure of central tendency best describes the situation, the ages of 7 people who auditioned for a role in a play: 17,20,22,12,15,12,21

Answers

Answer:

Both the mean and median and they both gives a measure of 17

Step-by-step explanation:

Given the data about the ages of 7 people :

17,20,22,12,15,12,21

Ordered data: 12, 12, 15, 17, 20, 21, 22

To find the median :

Median = 1/2 * (n+1)th term

n = number of observations = 7

Median = 1/2(7+1)th term

Median = 1/2 *8 = 4th term = 17

Mean = Σx / n = (sum of ages) / number of observations

Mean = 119 / 7 = 17

:

A fuel pump at a gasoline station doesn't always dispense the exact amount displayed on the meter. When the
meter reads 1.000 L, the amount of fuel a certain pump dispenses is normally distributed with a mean of 1 L
and standard deviation of 0.05 L. Let X = the amount dispensed in a random trial when the meter reads
1.000 L
Find P(X < 1).

Answers

Answer:

P(X < 1) = 0.5

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 1 L and standard deviation of 0.05 L.

This means that [tex]\mu = 1, \sigma = 0.05[/tex]

Find P(X < 1).

This is the p-value of Z when X = 1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1 - 1}{0.05}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5. Thus

P(X < 1) = 0.5

the ratio of two complementary angles is 8:17. find the measure of the smallest angle.

Answers

Answer:

28.8

Step-by-step explanation:

Multiply each by x

8x : 17x

Complementary angles add to 90

8x+17x = 90

25x = 90

Divide each side by 25

25x/25 = 90/25

x=3.6

The smallest angle is 8x

8*3.6 =28.8

Let's assume that the two angles represent
x
and
y
. We know that
x
+
y
=
90
. For this equation, let's assume
y
is the bigger angle.
y
would equal 8:7x, or to make it simpler,
8
7
x
. We can plug in
8
7
x
for
y
in the original equation to get
x
+
8
7
x
=
90
. Combining like terms, and then saying that
x
=
7
7
, we get
15
7
x
=
90
. We then divide
15
7
on both sides, and get
x
=
42
. In the equation,
y
=
8
7
x
, we add in 42 which makes
y
=
48
. That's how we find out our answer.

What is the unit rate for the following point?
(7, 1 3/4)

Answers

Answer:

Step-by-step explanation:

7

What is the difference between function and operator in math?

Answers

Step-by-step explanation:

In mathematics, a function is a mapping from set A to a set B that has a unique output for any given input. “Operators” or “operations” are typically defined as a special type of function.

The difference is fiction is one thing and operator is another

Need help on this one (listing BRAINLIST and giving points) ​=)​

Answers

I hope this is help full to you

What is the value of m

Answers

Answer:

B=34, A=56

Step-by-step explanation:

56 + 90 + B = 180

=) B=34

A is head to head with 56°.

If f(x)= 10 sin(x) – 3 then f (30%) = ?

A) - square root 3/2 -3
B.) 2
C.) -5/2
D.) 4/3 - square root 3/2

Answers

Answer:

The value of f(30) is equal to 2.

Step-by-step explanation:

The given expression is :

[tex]f(x)= 10 \sin(x) - 3[/tex]

We need to find the value of f(30)

Put x = 30 in above expression.

So,

[tex]f(x)= 10 \sin(30) - 3\\\\=10\times \dfrac{1}{2}-3\\\\=5-3\\\\=2[/tex]

Hence, the value of f(30) is equal to 2.

Which statement is true about the equations -3x 4y = 12 and #*-}y=I?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
O The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.

Answers

The system of the equations has no solution; the two lines are parallel

If the switches at 2, 3, 4, and 5 are independently closed or open with probabilities 0.1 (for closed) and 0.9 (for open), what is the probability of a closed path between the input line on the left and the output line on the right

Answers

Complete Question

The Complete Question is attached below

Answer:

[tex]P(X)=0.0163[/tex]

Step-by-step explanation:

From the question we are told that

Probability of open [tex]P(x)O=0.9[/tex]

Probability of open [tex]P(x)C=0.1[/tex]

Generally the equation for Probability of a closed path between the input line on the left and the output line on the right is  mathematically given by

 [tex]P(X)=(P(3\&5)C*P(2\&4)C)+(P(2\&4)O+P(2\&4)C*P(1\&3)O)+(P(1\&3)C-P(3\&5)C*P(2\&4)C)[/tex]

 [tex]P(X)= 0.1*0.1*(0.1*0.1+0.9*0.9 ) + 0.1*0.1*(0.9*0.9 + 0.1*0.1) - 0.1*0.1*0.1*0.1[/tex]

 [tex]P(X)=0.0163[/tex]

Identify a pair of parallel lines in the given figure.

a)p and s
b)r and s
c)r and q
d)r and p

Answers

Parallel Lines: lines in a plane which do not meet. they do not intersect at any point, so your answer is B.

HELP ME PLZ WILL MARK U AS BRAINLIEST

Answers

Answer:

yes

Step-by-step explanation:

the difference of mean is 10.5

the mean for Mrs.S was 26.7 while for Mr.C it was 37.2.

using this info we can infer that Mr.C uses 10-11 more textbooks monthly

Find the perimeter of the figure.

Answers

Answer:

45 inches (choice B)

Step-by-step explanation:

The perimeter is the sum of all of the sides of a shape. Since the sides are given this problem is fairly easier than other problems. You simply have to add the numbers together.

8 + 3 + 3 + 6 + 6 + 19 = 45 inches

Answer:

45 in.

Step-by-step explanation:

Perimeter = 8 + 3 + 6 + 19 + 6 + 3

= 45.

The height of a triangle is 7 feet greater than the base. the area of the triangle is 247 ft.² find the length of the base and the height of the triangle

Answers

Answer:

Base = 19

Height = 26

Step-by-step explanation:

Given :

Height, h = base, b + 7 feets

The area of triangle, A = 247 ft²

The area of a triangle is given by :

A = 1/2 * base * height

247 = 1/2 * b * (b + 7)

247 = 0.5 * b * (b + 7)

247 = 0.5b² + 3.5b

0.5b² + 3.5b - 247 = 0

Solving the quadratic equation ; using the quadratic equation solver, the roots are :

b = -26 or b = 19

Length of base can't be negative :

Hence,

Base, b = 19

Height, h = base + 7 = 19 + 7 = 26

Cuánto es 1/4 mas 1/4

Answers

Answer:

0.5

Step-by-step explanation:

PLEASE HELP ASAPPP!!!!!
Three coins are flipped. What is the probability that there will be two tails and one head?

Answers

3/8ths or 0.375 probability

Frank earns 56,600​$ one year and receives a 9 ​% raise in salary. What is his new​ salary?

Answers

Answer:

His new salary would be $61,694

Step-by-step explanation:

1,Convert 24 hours to sec​

Answers

Answer:

86400 sec

Step-by-step explanation:

24 hour⇒ sec

1 hr = 3600 sec

So,

24×3600

= 86400 sec

how to convert 15 cm to mm​

Answers

You just multiply 15cm by 10, as every cm has 10mm.

15cm x 10 = 150mm
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