4 years ago

|z-1| greater than or equal to 8 |z-1|>8

1 answer:

4 0

Divide this into 2 equations. (z-1 is less than -8) and (z-1 is greater than 8). than solve the inequalities separately. you should get (z is less than -7) and (z is greater than 9).

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siniylev [52]

Answer:

x,y

Step-by-step explanation:

because it shows range and dange

6 0

3 years ago

The nth term of a sequence is 3−2n Work out the 8th term of the sequence

seraphim [82]

Answer:

-13

Step-by-step explanation:

3-2n

3-2×8

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7 0

3 years ago

How many solutions does the following system have?

ale4655 [162]

Answer:

Option D. No solutions

Step-by-step explanation:

we have

$3x+2y=1$ -----> equation A

$-9x-6y=3$ ----> equation B

Multiply by -3 both sides equation A

$-3(3x+2y)=-3(1)$

$-9x-6y=-3$ -----> equation C

Compare equation B and equation C

Equation B and equation C are parallel lines with different y-intercept

Verify

For x=0

Equation C

$-9(0)-6y=-3$ -----> $y=0.5$

The y-intercept is the point (0,0.5)

Equation B

$-9(0)-6y=3$ -----> $y=-0.5$

The y-intercept is the point (0,-0.5)

therefore

Lines do not intersect

The system has no solution

see the attached figure to better understand the problem

6 0

3 years ago

The average age of 15 students is 16 years. If teacher’s age is included the average increases by 1. Find teacher’s age. (a) 30

Mrac [35]

Answer:

Age of teacher = 32 years

Step-by-step explanation:

Average age of 15 students = 16 years

Sum of age of 15 students = 16 * 15 = 240 years

Average of age 15 students and a teacher = 17 years

Sum of age 15 students and a teacher = 17 * 16 = 272 years

Age of teacher = 272 - 240 = 32 years

4 0

4 years ago

Read 2 more answers

A line is drawn so that it passes through the points (-3,0) and (1.4). What is the slope of the line?

kotegsom [21]

Answer:

0000000000000000

Step-by-step explanation:

3 0

3 years ago