All categories

3 years ago

What is the factored form of x6 - 9?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

4 0

Answer:

Step-by-step explanation:

$x^{6}$ - 9 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Given

$x^{6}$ - 9

= (x³ )² - 3²

= (x³ + 3)(x³ - 3) → D

You might be interested in

Determine the common factors and HCF for each of the following terms.

Ahat [919]

Answer: Please see explanation column for answers

Step-by-step explanation:

When a number divides into another number without a remainder, it s called a factor of that number. Lets say we want to find the common factors of two numbers, we get the factors of each one and compare them. The common factor is the one that is found in both lists

While The Highest common factor, is the highest factor number found in both lists.

b) 2b , 3b

Factors of 2b= 1, 2 and b

Factors of 3b=1, 3 and b

Common factors =1 and b

HCF=1b

e) 5bc, 2c2, 3cd

Factors of 5bc= 1, 5, b, c

Factors of 2c2= 1, 2, c, c2

Factors of 3cd= 1, 3, c, d

Common factors = 1 and c

HCF= 1c

f) 4a2b, 8b2c, 6bcd

Factors of 4a2b= 1, 2, 4, a, a2, b

Factors of 8b2c= 1, 2, 4, 8, b, b2, c

Factors of 6bcd= 1, 2,3,6, b, c,d

Common factors = 1, 2 , b

HCF= 2b

3 0

3 years ago

Given a mean of 61.2 and a standard deviation of 21.4, what is the z-score of the value 45 rounded to the nearest tenth?0.8−0.90

kherson [118]

Given: Mean μ = 61.2 and standard deviation σ =21.4

The Z score of the value x=45 is given by

Z = $\frac{x - mean}{standard deviation}$

Z = $\frac{45 - 61.2 }{21.4}$

Z = $\frac{-16.2}{21.4}$

Z = -0.757

The z-score value for 45 rounded to nearest tenth is -0.8

6 0

3 years ago

PLEASE HELPPPPPP!!!!

lord [1]

Answer:

So I am not sure my answers are correct but I hope they help:

A. y = 6x+14

B. 6 people

8 0

2 years ago

PLZ ANSWER QUICK-MATH TRIG

IRISSAK [1]

Answer:

FG = 9.7ft

Step-by-step explanation:

Find the diagram in the attachment.

The diagram is a right angled triangle since one of its angle is 90°

Using SOH CAH TOA to calculate the length FG which is the hypotenuse.

According to SOH

Sin∠G = Opposite/Hypotenuse

To get the ∠G,

∠F+∠H+∠G = 180°

18°+90°+∠G = 180°

∠G = 180°-108°

∠G = 72°

Sin72° = 9.2/FG

FG = 9.2/sin72°

FG = 9.67feet

FG = 9.7ft (to the nearest tenth of a foot)

7 0

3 years ago

An equation of a trend line for the scatter plot below is y=42x+50. Predict how many more sales the store makes in December than

Mars2501 [29]

Answer:

42 more sales in December

Step-by-step explanation:

3 0

3 years ago