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
Verdich [7]
3 years ago
15

Anyone know how to factorise this please ?! :)

Mathematics
1 answer:
raketka [301]3 years ago
6 0

9514 1404 393

Answer:

  a) (x +2)(x +3)

  b) x = -2 or -3

Step-by-step explanation:

a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...

  6 = 1×6 = 2×3

The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...

  x² +5x +6 = (x +2)(x +3)

__

b) The solutions to the equation are the values of x that make the factors zero:

  (x +2) = 0   ⇒   x = -2

  (x +3) = 0   ⇒   x = -3

You might be interested in
Solve the system of equations
nekit [7.7K]

Answer: x = 3 and y = 1

Step-by-step explanation:

y = - x + 4 ............... equation 1

y = x - 2 ............. equation 2

Solving the linear equation by substitution method , we have :

substitute equation 2 into equation 1 , that is

x - 2 = - x + 4

Add 2 to both sides , we have

x = -x + 4 + 2

Add x to both sides , we have

2x = 6

divide through by 2

x = 3

Substitute x = 3 into equation 2 to find the value of y , we have

y = x - 2

y = 3 - 2

y = 1

Therefore : x = 3 and y = 1

8 0
3 years ago
The Fruitz fruit and vegetable shop is selling grapes at a price which is 10% cheaper than the Happy Fruiterer fruit and vegetab
sdas [7]

Answer:

(a) It costs $55 at Happy Fruiterer

(b) It will cost $49.64

(c) It is cheaper at Happy Fruiterer the second week

Step-by-step explanation:

Since Fruitz shop sells as 10% less than Happy Fruiterer at $50

10% more of $50 = 50 × 10/100 + 50

= $5 + $50 = $55

(a) n Kg of grapes will cost $55 at Happy Fruiterer

(b) if Happy Fruits discounts $55 by 5%, we will have

55 × 5/100 = 2.75

that is $55 - $2.75 = $52.25

If it is discounted further at 5% more the following week, we will have

$52.25 × 5/100 = $2.6125

≈ $2.61

Then the new price for the 2nd week is $52.25 - $2.61

= $49.64

(c) at the second wee of discounting, Fruitz shop still sells at $50 will Happy Fruiterer now see at $49.64. Therefore, it is cheaper at Happy Fruiterer

8 0
3 years ago
What conclusion can be drawn from the quiz scores shown below?
Alex_Xolod [135]

Answer:

Ken class has a median of 84 while Judy class a median of 87

Step-by-step explanation:

Ken class has a median of 84 while Judy class a median of 87

7 0
3 years ago
Read 2 more answers
Just the answer please
nordsb [41]

Answer:b is the right choice hopefully dont be mad if it is wrong

Step-by-step explanation:

3 0
3 years ago
G(a) = a + 2. Find f(-7).
anastassius [24]

Answer:

Step-by-step explanation:

g(-7) = -7 + 2 = -5

6 0
3 years ago
Other questions:
  • PLEASE HELP!!!
    12·2 answers
  • You roll a standard number cube. Find P(number greater than 1).
    10·1 answer
  • Find the area of the figure by subtraction.
    14·1 answer
  • Points B, O, and Y are collinear on BY, and BO:OY = 1/3. B is located at (4,-2), O is located at
    9·1 answer
  • What is the reflection image of U across the y-axis?
    14·2 answers
  • Find the distance between these points.
    7·2 answers
  • Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can
    8·2 answers
  • The perimeter of a regular octagon is 24a + 48 inches.(a) write an expression for the length of any one side of the octagon. The
    13·1 answer
  • An orthocenter of a triangle is
    9·1 answer
  • This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!