MATHEMATICS MIDDLE SCHOOL

Solve the following inequality. |3n-2|-2<1

Answers

Answer 1

Answer:

Answer: $(-1)/(3)$ < n < $(5)/(3)$

Step-by-step explanation:

| 3n - 2 | - 2 < 1

+2 +2

| 3n - 2 | < 3

3n - 2 < 3 and 3n - 2 > -3

+2 +2 +2 +2

3n < 5 and 3n > -1

n < $(5)/(3)$ and n > $(-1)/(3)$

$(-1)/(3)$ < n < $(5)/(3)$

Interval Notation: $((-1)/(3),$ $(5)/(3))$

Graph: $(-1)/(3)$ o--------------------o $(5)/(3)$

Answer 2

Answer:

$|3n-2|-2<1\n\n|3n-2|<3\n\n3n-2<3 \wedge 3n-2>-3\n\n3n<5 \wedge 3n>-1\n\nn<(5)/(3) \wedge n>-(1)/(3)\n\nn\in \left(-(1)/(3),(5)/(3)\right)$

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If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)

Answers

Answer:

A. (x - (7 + i))

Step-by-step explanation:

Answer:

(x – (7 + i))

Step-by-step explanation:

option A

Sybrina jogged 2 miles in 30 minutes. At this rate, how far would she jog in 90 minutes?At what rate did she jog each hour?

Answers

6 miles in 90 minutes and 4 miles per hour. 30 times two is 60 min so 2 miles times two is 4 miles.

another 30 min is 90 min and another two miles is 6 miles.

2miles per 30min - 2 to 3
90/30=3x2=6
6miles in 90min
She was jogging @ a 1mile per 15min but each hour it was 4mile per hour

Estimate. then find the product 1374 x 6

Answers

The product 1374 x 6 is 8244.

Given,

1374 x 6

We need to find the product.

What are the multiples of 6?

6 x 1 = 6

6 x 2 = 12

6 x 3 = 18

6 x 4 = 24

6 x 5 = 30

6 x 6 = 36

6 x 7 = 42

6 x 8 = 48

6 x 9 = 54

6 x 10 = 60

Find the product of 1374 x 6.

We have,

1374 x 6

= (6x1)(6x3)(6x7)(6x4)

= 6(18)(42)(24)

Add the left digit 2 from 24 to 42 and keep 4 from 24

= 6(18)(42+2)4

= 6(18)(44)4

Add 4 from 44 to 18 and keep 4.

= 6(18+4)44

= 6(22)44

Add 2 from 22 to 6 and keep 2 from 22.

= (6+2)244

= 8244

Thus the product of 1374 x 6 is 8244.

Learn more about finding the product of numbers here:

brainly.com/question/8034177

#SPJ2

What place do you have to round your answer to? Or does it not matter??

If you estimate rounding 1374 to 1400
1400 times 6 = 8,400
So that would be your estimated value ^^^^

The product is 8,224

A piece of wood is to be cut so that it is square and has an area of 45 square inches. How long should the sides be, rounded to the nearest tenth of an inch?a.
6.7 inches
c.
8.6 inches
b.
22.5 inches
d.
11.3 inches

Answers

A 6.7 u take the square root of 45

a rectangular prism has a volume 4x³+30×²+36x, what linear expressions can represent possible dimensions of the prism

Answers

$4x^3+30x^2+36x=2x(2x^2+15x+18)=2x(2x^2+3x+12x+18)=\n\n=2x[x(2x+3)+6(2x+3)]=2x(2x+3)(x+6)\n\nthe\ possible\ dimensions\ of\ the\ prism:\n\na=2x,\ \ b=2x+3,\ \ c=x+6\n\n \ \ and\ \ \ x \neq 0,\ x \neq - (3)/(2),\ x \neq -6$

Other ways to write 18:4

Answers

18 to 14 that's what I came up with. Are you doing ratios?

there is 18 to 4 or 18 over 4

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