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ira [324]
4 years ago
5

Please I need answers Factorize x²-6x+9

Mathematics
1 answer:
miskamm [114]4 years ago
4 0

Answer:

The factors of the given equation are:

x^2-6x+9=(x-3)(x-3)=(x-3)^2

Step-by-step explanation:

We have :

x^2-6x+9

Using middle term splitting theorem to factorize the expression :

x^2-3x-3x+9

x(x-3)+(-3)(x-3)

(x-3)(x-3)

x^2-6x+9=(x-3)(x-3)=(x-3)^2

The factors of the given equation are:

x^2-6x+9=(x-3)(x-3)=(x-3)^2

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which of the following expressions represent the number of distinguishable permutations of the letters of the word conclusion​
LekaFEV [45]

Answer:

See explanation

Step-by-step explanation:

In most cases, we run into the problem of arranging objects that are repeated. This often occurs when we have a word that has repeated letters.

Let us recall that permutation deals with arrangements which are distinguishable.

Hence, for the word CONCLUSION, the number of distinguishable arrangements are;

10!/2!2!2!

3 0
3 years ago
Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior
Ne4ueva [31]

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

5 0
3 years ago
Given: g(x)= x-4 and hix) = 2x-8.
Ad libitum [116K]

Answer:6

Step-by-step explanation:

3 0
4 years ago
Write an equation of the line passing through the point (4,3) that is perpendicular to the line 4x-7x=9
timofeeve [1]

Answer:

The equation 4x-7x=9 simplifies into x=-3, which is a horizontal line. A perpendicular line would be vertical, and the equation for vertical lines is y=b, b being a constant. In this case on the point (4,3), y is 3, so the equation of the line is y=3.

7 0
3 years ago
14,779 107,033 123,737 round to the nearest hundred?
denpristay [2]

Step-by-step explanation:

14,800

107

123,700

hope this helps have a great day

3 0
3 years ago
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