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3 years ago

Consider the function f(x)= x² - 4

Mathematics

1 answer:

Arisa [49]3 years ago

4 0

Answer:

(X+2) (X-2) . This is the final answer

Step-by-step explanation:

Solving f(x) = x^2 - 4

A^2 - B^2 is a special case where the original equation before it was foiled is

(A + B) (A - B) because the middle terms will cancel out when foiled.

This means that the equation can be written as

(X + 2)(X - 2) = 0

Each of these you will then set equal to 0 and then solve

X + 2 = 0, X - 2 = 0

X = -2, 2

I hope this helps you! let me now if its right ok <3 :)

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Bsolute Value is the distance from

Yanka [14]

Answer:

The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..

Step-by-step explanation:

Negative

I hope this helps :)

6 0

3 years ago

30. 3 x (5 + 6) = 33<br>33. 14 - (8 - 2) - 1 =<br>36. (3 + 2) × (4 + 6) =<br>39. 6 x 4 + 5) =

Vanyuwa [196]

Answer:

39. 29

36. 50

33. 7

30. 33

Step-by-step explanation:

39. According to the Order of Operations, in this case, Subtraction & Addition are evaluated after Division & Multiplication:

$6 \times 4 + 5 = 24 + 5 = 29$

36. Evaluate everything since everything is wrapped in parentheses:

$(3 + 2) \times (4 + 6) = 5 \times 10 = 50$

33. Evaluate everything inside of parentheses FIRST:

$14 - (8 - 2) - 1 = 14 - 6 - 1 = 7$

I am joyous to assist you anytime.

7 0

3 years ago

The third term is given 2 and the sixth term is 15 . find the first term and the common ratio .

Mumz [18]

Answer:

Answer to your query is provided below in the image attached

8 0

3 years ago

A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 mi

Murrr4er [49]

Complete Question: A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 milliliters of a 30% vinegar solution.

Write an equation that models this situation and explain what each part represents in the situation. Then solve the equation.

Step-by-step explanation:

let the volume of the 45% vinegar solution be x litres ,

the volume of the 25% vinegar solution be 3x

and the volume of the 5% vinegar solution be y

summation of all gives,

x+3x+y = 20

4x + y = 20

subtracting 4x from both sides to make y the subject of the equation, we have;

y = 20 - 4x

To the concentration:

substituting for the value of x and y into equation x + 3x + y = 20, we have,

.45x + .25(3x) + .05(20-4x) = .3(20)

multiplying through by 100 to make whole figures we have;

45x + 25(3x) + 5(20-4x) = 600

45x + 75x + 100 - 20x = 600

120x - 20x + 100 = 600

100x + 100 = 600

subtracting 100 from both sides, we have;

100x = 600 - 100

100x = 500

dividing both sides by 100,

x = 5.

7 0

3 years ago

A pet shop has rabbits and gerbils for sale. They have 20 animals altogether. They sell two rabbits. Then one of the gerbils has

Triss [41]

20 animals - 2 rabbits = 18 animals
18 animals + 2 gerbils = 20 animals.
20 animals / 4 = 5 animals
There are 5 rabbits and 15 gerbils now.
At the start 2 rabbits were sold so add that on.
5 + 2 = 7
There were 7 rabbits.
There weren't any twin gerbils then.
15 - 2 = 13.
There were 13 gerbils and 7 rabbits to start with.

Hope This Helps You!
Good Luck Studying :)

4 0

3 years ago