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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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Ken uses pattern blocks to make a design. He puts 5 pattern blocks together, as shown in the diagram.

Len [333]

Answer:

Step-by-step explanation:

divide 120 by 4 you get 30 then multiply 30 by 2

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3 years ago

A dish has 212 bacteria in it. The population of the bacteria will grow ata rate of 80% every 2 days. How many bacteria will be

mr_godi [17]

If they are growing 80% for every twodays, it would be 40% for every one day.

Bacteria after 9 days = 212 * 9 * 40 / 100
= 763.2
To round up, the population of bacteria after 9 days would be 763, with a growth rate of 80% for every two days.

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3 years ago

What was 42/3as a mixed number

stiks02 [169]

This fraction cannot be changed to a mixed number because 3 can divide 42 to give 14. Hope i helped. Have a nice day.

5 0

3 years ago

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Write a story to go with 3/4 times 1/2.

valina [46]

Answer:

2/3 = 0.666666667

hopefully i helped :)

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3 years ago

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I need help with these three problems please

Liono4ka [1.6K]

Answer:

Q7. 11.3 inches (3 s.f.)

Q8. 96.2 ft

Q9. 36.4cm

Step-by-step explanation:

Q7. Please see attached picture for full solution.

Q8. Let the length of a side of the square be x ft.

Applying Pythagoras' Theorem,

$34^{2} = {x}^{2} + {x}^{2} \\ 2 {x}^{2} = 1156 \\ {x}^{2} = 1156 \div 2 \\ {x}^{2} = 578 \\ x = \sqrt{578} \\$

Thus, the perimeter of the square is

$= 4( \sqrt{578} ) \\ = 96.2 ft\: \: \: (3 \: s.f.)$

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

Since the perimeter of the equilateral triangle is 126cm,

length of each side= 126÷3 = 42 cm

The green line drawn in picture 3 is the altitude of the triangle.

Let the altitude of the triangle be x cm.

sin 60°= $\frac{x}{42}$

$\frac{ \sqrt{3} }{2} = \frac{x}{42} \\ x = \frac{ \sqrt{3} }{2} \times 42 \\ x = 21 \sqrt{3} \\ x = 36.4$

(to 3 s.f.)

Therefore, the length of the altitude of the triangle is 36.4cm.

4 0

3 years ago

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