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2 years ago

Factor completely. n² - 5n + 4

Mathematics

1 answer:

Gnesinka [82]2 years ago

6 0

Answer:

(n-4)(n-1)

Step-by-step explanation:

n2 -5n +4

n2- n - 4n - 4

n(n-1) - 4(n-1)

(n-4)(n-1)

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Which statement best explains the relationship between

Nataly [62]

Answer:

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A

Step-by-step explanation:

Parallel lines have equal slopes and different y-intercepts

The rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m = $\frac{y2-y1}{x2-x1}$

In the given figure

∵ The blue line passes through points A and B

∵ A = (-4, -2) and B = (4, 4)

∴ x1 = -4 and y1 = -2

∴ x2 = 4 and y2 = 4

→ Substitute them in the rule of the slope

∵ m(AB) = $\frac{4--2}{4--4}$ = $\frac{4+2}{4+4}$ = $\frac{6}{8}$ = $\frac{3}{4}$

∴ The slope of line AB is $\frac{3}{4}$

∵ The green line passes through points C and D

∵ C = (0, -3) and D = (4, 0)

∴ x1 = 0 and y1 = -3

∴ x2 = 4 and y2 = 0

→ Substitute them in the rule of the slope

∵ m(CD) = $\frac{0--3}{4-0}$ = $\frac{0+3}{4}$ = $\frac{3}{4}$

∴ The slope of line CD is $\frac{3}{4}$

∵ The slope of line AB = the slope of line CD

∵ Parallel lines have the same slope

∴ AB // CD

∴ AB and CD are parallel lines

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"

7 0

2 years ago

Which of the following situations could be described by the equation y = 120 - 25x?

Otrada [13]

Answer:

Is there any other information?

Step-by-step explanation:

3 0

1 year ago

Help please its for school

Alex

Answer:

68.302

Step-by-step explanation:

68302/1000=68.302

hope this helps :)

8 0

1 year ago

Read 2 more answers

Find x Picture Below

Mumz [18]

m∠BEC=(1/2)(mBC + mAD)

110 = (1/2)(x+97)

220 = x+97

x=220 - 97

x= 123⁰

7 0

2 years ago

2. To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. a. Would you

ANEK [815]

Answer:

Step-by-step explanation:

Size of the population, N = 4000

Size of the sample, n = 40

n/N = 40/4000 = 0.01

0.01 is less than 0.05 and hence we would not us the finite population correction factor in calculating the standard error of the mean.

Population standard deviation is σ = 8.2

So, the standard error of x’ using the finite population correction factor is give by

σ(x’) = √[(N - n)/(N - 1)] x (sigma/√n)

σ(x’) = √[(4000 - 40)/(4000 - 1)] x (8.2/√40)

σ(x’) = 1.29

Standard error of x’ without using the finite population correction factor is

σ(x’) = σ/√n

σ(x’) = 8.2/√40 = 1.2965

There is little difference between the two values of the standard error. So we can ignore the population correction factor.

Let the population mean be μ

Probability that the sample mean will be within =-2 of the population mean is

P(μ– 2 < x’ < μ + 2)

At x’ = μ – 2 , we have

z = (μ – 2 – μ)/1.2965

z = -1.54

at x’ = μ + 2, we have

z = (μ + 2 – μ)/1.2965

z = 1.54

So the required probability is

P(μ – 2 < x’ < μ + 2) = p(-1.54< z < 1.54)

P(μ – 2 < x’ < μ + 2) = p(z < 1.54) – p(z < -1.54)

P(μ – 2 < x’ < μ + 2) = 0.9382 – 0.0618

P(μ – 2 < x’ < μ + 2) = 0.8764

7 0

2 years ago

Factor completely. n² - 5n + 4​

Factor completely. n² - 5n + 4