factorise
[tex] \frac{x^{2} - 5x + 6}{x^{2} - 7x + 12} [/tex]

Answers

Answer 1

Answer:

[tex]\frac{x-2}{x-4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-5x+6}{x^2-7x+12}[/tex] ← factorise numerator and denominator

= [tex]\frac{(x-2)(x-3)}{(x-4)(x-3)}[/tex] ← cancel (x - 3) on numerator/ denominator

= [tex]\frac{x-2}{x-4}[/tex]


Related Questions

what is the probability of all 4 people winning a 50/50 ​

Answers

Answer:

25 percent

Step-by-step explanation:

find the perimeter and area of the polygon with the given vertices. P(-3,4), Q(1,4), R(-3,-2), S(3,-2)

Answers

Answer:

OMG!!!!!!!!!OMG!!!OMG

A kite string is 35m long. The angle the string makes with the ground is 50o
.
How far from the person holding the string is a person directly under the kite?

Answers

Answer:

22.50m

Step-by-step explanation:

With the ground, the horizontal ground distance is the adjacent side, so by SOHCAHTOA, the ratio used is cosine, i.e.

Ground distance

= hypotenuse * cos(50°)

= 35 cos(50°)

= 35*0.64279

= 22.50m

CAN SOMEONE HELP ME PLEASEEEEEEE

Answers

Answer:

a) = 7x² + 4y²

b) = 3x + 7xy - 7

Step-by-step explanation:

a) = (9 - 2) x² + (-3 + 7) y²

= 7x² + 4y²

b) = (8 - 5) x + (3 + 4) xy - 7

= 3x + 7xy - 7

Daniel used wire fencing to form a border around a circular region in his back yard.
If the radius of the circular region was 5 yards, what was the total length of the border,
rounded to the nearest tenth of a yards

Answers

Answer:

31.4 yards

Step-by-step explanation:

credits: ApusApus

source: https://brainly.com/question/9514844

Pre-calc, Review the table of values for function h(x). (image attached)

Answers

Answer:

[tex]\lim_{x \to 10^+} h(x) = 18.5[/tex]

Step-by-step explanation:

As x approaches 10 from the right side, h(x) approaches 18.5 but never touches it.

can someone please help me with this question

Answers

Answer:

15 kilometers

Step-by-step explanation:

So we know:

For 4 days she runs 1500 meters each day.

For 3 days she runs 3 kilometers each day.

First off, lets convert 1500 meters into kilometers.

There are 1000 meters in a kilometer, so pluggin in 1500 meters:

1500/1000 = 1.5

So for 4 days she runs 1.5 kilometers each day.

Now, to find the total kilometers, we must find multiply the 1.5 kilometers by the 4 days, the 3 kilometers by the 3 days, then add those two together.

So lets do this:

1.5*4 = 6

So she ran 6 kilometers in the first 4 days.

Next we have:

3*3 = 9

So she ran 9 kilometers in the last 3 days.

Now finally add them together:

6 + 9 = 15

So she ran a total of 15 kilometers.

Hope this helps!

new community center. How I Find the prime factorization of the number 24​

Answers

Answer:

2*2*2*3

or

2^3   * 3

Step-by-step explanation:

24 = 4*6

But 4 and 6 aren't prime

24 = 4*6 = (2*2)  * (2*3)

All these numbers are prime

24 = 2*2*2*3  or with exponents  = 2^3   * 3

For the given table of values for a polynomial function, where must the zeros of the function lie?




A. between 3.0 and 3.5 and between 4.0 and 4.5
B. between 3.5 and 4.0 and between 4.0 and 4.5
C. between 4.0 and 4.5 and between 4.5 and 5.0
D. between 3 .5 and 4.0 and between 4.0 and 4.5
E. between 3 .5 and 4.0 and between 5.0 and 5.5

Answers

Answer:

A. Between 3.0 and 3.5 and between 4.0 and 4.5

Step-by-step explanation:

The zeroes of a function occur whenever a value of x returns zero. To predict where the zeroes lie, determine the interval(s) where the function crosses the x-axis. This occurs when either [tex]f(x)[/tex] goes from a negative value to a positive value or vice versa.

From [tex]x=3.0[/tex] and [tex]x=3.5[/tex], the y-values go from 4.0 (positive) to -0.2 (negative), respectively. Therefore, there must be a zero in this interval.

From [tex]x=4.0[/tex] and [tex]x=4.5[/tex], the y-values go from -0.8 (negative) to 0.1 (positive), respectively. Therefore, there must also be a zero in this interval.

Thus, the zeros of this function occur between 3.0 and 3.5 and between 4.0 and 4.5, leading to answer choice A.

Answer:

between 3.0 and 3.5 and between 4.0 and 4.5

Step-by-step explanation:

Plato/Edmentum

Which of these is coterminal with an angle in standard position that
measures 140°?
-40 degree
-500 degree
-220 degree
-60 degree

Answers

Answer:

Since the angle 140° is in the second quadrant, the reference angle formula is Ar=180°−Ac. A r = 180 ° - 140 = 40°

Step-by-step explanation:

4. Un cuadrado tiene un área de 400 cm2; si se aumenta un centímetro por lado, ¿cuál será el perímetro del nuevo cuadrado?

Answers

Step-by-step explanation:

I can't read Spanish or read Spanish I'm sorry

ANSWER FAST WILL GIVE BRAINLIEST A box contains red, green, blue, and yellow balls. Jill randomly took a ball out of the box 55
times and recorded its color. Each time, she replaced the ball before taking out another one.
The table shows the colors of the balls that Jill took out of the box.

Answers

I would say B just because half of 14 is 7

What is the scale factor, if Q(-5, 5), R(-10, 0), S(-15, -5) and T(-10, 20) are dilated to Q'(-2, 2), R'(-4, 0), S'(-6, -2) and T'(-4, 8)?

Answers

Answer:

2/5

Step-by-step explanation:

Q(-5, 5) ==> Q'(-2, 2)

s = xQ'/xQ = -2/-5 = 2/5

See

R(-10,0) is Translated to R'(-4,0)

Find scale factor by dividing x values

Scale factor

-4/-102/5

PLEASE ANSWER QUICKLY!!! A bag contains 5 green marbles and 3 red marbles. Two marbles are drawn at random, as follows: one marble is drawn and not replaced. Then a second marble is drawn.
What is the probability that the first marble is red and the second one is green?

Answers

Answer:

It is given that a bag contains 3 red marbles, 5 blue marbles and 2 green marbles.

The total number of marbles in the bag is 10.

Two blue marbles are drawn one after another from the bag.

Let A be the event that getting two marbles are blue marbles under condition is with replacement.

The probability of...

A car is traveling at a constant rate of x miles per hour how many miles will the car travel in y minutes

Answers

Answer:

Step-by-step explanation:

1 mile

I need help with this homework

Answers

Answer:

Step-by-step explanation:

P(even) fraction: 12/25 %: 48%

P(more than 20) fraction: 1/5... %: 20%

P(even and more than 20) fraction: 2/25 %: 8%

P(less than 5 or more than 20) fraction: 9/25 %: 36%

P(prime and less than 10) fraction: 4/25 %: 16%

P(multiple of 5) fraction: 1/5 %:20%

The angle of elevation of a car to the top of a tree is 60°. If the height of the tree is 34 feet, find the distance between the car and the tree rounded to the nearest whole number.

Answers

Answer:

17 feet

Step-by-step explanation:

cos = adj/hyp

cos60 = adj/34

34 * cos60 = adj

adj = 17

can someone help me plz ​

Answers

Answer:

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1/2x = -9 what to do help

Answers

Answer:

1

2

=

9

\frac{1}{2}x=-9

21x=−9

1

2

=

9

Answer:

Step-by-step explanation:

I'm assuming that you are solving for x, since there's nothing else you can do with this mathematically.

[tex]\frac{1}{2}x=-9[/tex] and the goal is to get the x all alone. So we have to lose the fraction. Do that by multiplying by the reciprocal of 1/2 which is 2/1 (a reciprocal is just a fraction flipped upside down). BUT...because this is an equation, what you do to the left side has to be done to the right side too. Like this:

[tex](\frac{2}{1})\frac{1}{2}x=\frac{-9}{1}(\frac{2}{1})[/tex]

On the left, everything cancels out but the x (which is why we do this), and on the right we multiply straight across the top and straight across the bottom to get

[tex]x=\frac{-18}{1}[/tex] which is

x = -18

solve the simultaneous linear algebra quadratic equation 2x-y=8 3x-y=17​

Answers

Answer:

2x-y=8

(3x-y=17)*_1

2x-y=8

-3x+y=-17

#-x=-9, x=9 & y=-10

Answer:

x = 9  and y  = 10

Step-by-step explanation:

Subtract the second equation from 1 as in doing so the y will get cancelled as they are of the opposite sign.

2x - y = 8

-3x + y = -17

-----------------

- x = - 9

Therefore,

x = 9

Now we will add the value of x to any of the equation from the question.

2x - y = 8

2(9) - y = 8

18 - y = 8

Therefore,

y = 10

what is the solution to this system of linear equations 2x +3y =3 7x -3y= 24

Answers

Answer:

5

Step-by-step explanation:

Which of the following values of n will result in a true statement when substituted into the given equation?

4n + 9 = 1

A. n = -2
B. n = 2
C. n = 3
D. n = 4

Answers

The correct answer is c

What is the simple interest earned on a $1,000 principle, with a 7.8% interest rate, after 4 years? (Show your work)

Answers

Answer:

312

Step-by-step explanation:

1000x.078=78 interest per year

78 interest x4 years=312 interest after 4 years.

Constituents cuckoo chip

Watchu know ab Rollin down in the deep

Answers

Answer:

LOL

Step-by-step explanation:

Answer:

When your brain goes numb, you can call that mental freeze

Step-by-step explanation:

Help me I really need to get this done

Answers

Answer:

It’s the second one

Step-by-step explanation:

which expression is equivalent to
-3x + 6y + 7x - 14?

A. -10x - 14

B. 2(2x+3y-7)

C. 4x - 6y + 14

D.4x + 6y - 14

E. 10x + 6y - 14

I'll give brainlist

Answers

D.4x + 6y - 14

This is the answer

The answer is (D) but I am not working

This Histogram shows the heights in inches of members of a middle school volleyball team. How many members are between 50 and 70 inches tall?

A. 12
B. 10
C. 6
D. 4

Answers

Answer:all i know its either 12 or 6 i hope u get it right:)

Step-by-step explanation:

Answer: B.12

Step-by-step explanation: DID YOU EVAN THINK BECAUSE I DIDNT

¿Cuanto es el 15% de 9,000?

Answers

Answer:

10% = 900

5% = 450

15% = 1,350

Please brainliest

Can u solve these please I need help

Answers

Answer:

Step-by-step explanation:

take 48 degree as reference angle

using tan rule

tan 48=opposite/adjacent

1.11=missing side/58

1.11*58=missing side

64.38=missing side

A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, putting the marble back, and then pulling a blue marble?

Answers

Answer:

Red: 1/5 or 0.2 or 20% (depends if the question asked you to give the answer in fraction/decimal/percentage. Either way, it's still correct)

Black: 0

Blue: 2/5 or 0.4 or 40%

Step-by-step explanation:

In total, the bag contains 10 balls,

2 are Red = 2/10 = 1/5

There are no black marbles so you have 0 chance of pulling them out.

4 are blue = 4/10 = 2/5
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