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3 years ago

Find all solutions to the given equation: (2x − 2)(3x +1)(x − 1) = 0

Mathematics

1 answer:

Grace [21]3 years ago

8 0

Answer:

So the solution of the equation will be $x=1,\frac{-1}{3}$

Step-by-step explanation:

We have given polynomial $(2x-2)(3x+1)(x-1)=0$

We have to find all the solution of the equation

For finding the solution we have to equate the factor of the polynomial equal to zero

So $2x-2=0$

x =1

$3x+1=0$

$x=\frac{-1}{3}$

$x-1=0$

x= 1

So the solution of the equation will be $x=1,\frac{-1}{3}$

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On a board measuring 1x100, each square is numbered from

max2010maxim [7]

Answer:

Step-by-step explanation:

Given the following conditions :

board measuring 1x100, each square is numbered from 1 to 100

Three colors are used to paint the squares from left to right in the sequence :

one blue, two reds and three green squares in a repeated pattern.

What is the highest numbered square that is painted blue?

The sequence of painting is repeated after :

(1 + 2 + 3) = 6 successive squares

Since the number of squares = 100

Maximum complete repetition possible :

100 / 6 = 16 remainder 4

Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)

On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.

Hence, the highest numbered square that is painted blue is 97

5 0

3 years ago

Read 2 more answers

Find the equation of the line that is perpendicular to y=5 through the point (-4,-6)

Nikolay [14]

Answer:

$x=-4$

Step-by-step explanation:

we know that

The given equation y=5 is a horizontal line (is parallel to the x-axis)

The slope of the given line is equal to zero

A perpendicular line to the given line is a vertical line (parallel to the y-axis)

The equation of a vertical line is equal to the x-coordinate of the point that passes through it

The point that passes through it is (-4,-6)

therefore

The equation of the perpendicular line is

$x=-4$

4 0

3 years ago

How many sq. ft. are in an acre?

Ainat [17]

43560 sq. ft
Answer till 20 characters

8 0

3 years ago

Read 2 more answers

If m = 8, what is 4m + 2m? Hint: "4m" means "4 TIMES m" and "2m" means "2 TIMES m"

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

4m means 4xm, and 2m means 2xm

Now, if m = 8, 4m means 4x8, and 2m means 2x8. (Technically, substituting the number in place of the variable m)

4x8 = 32

2x8 = 16

So the equation now is 32+16

Do the math and you get 48

8 0

3 years ago

Read 2 more answers

PLEASE HELP! Which ordered pairs are solutions to the inequality y-4x (greater than or equal to) -5? Select each correct answer

Wittaler [7]

(-2, 1), (-4, 2) and (1, -1) are solutions to given inequality y-4x (greater than or equal to) -5

Solution:

Given, inequality is y – 4x ≥ - 5

We have to find the correct answers from given options

We have to check option by option.

Now, (-2, 1) ⇒ 1 – 4(-2) ≥ - 5 ⇒ 1 + 8 ≥ -5 ⇒ 9 ≥ -5 ⇒ correct answer.

Now, (-4, 2) ⇒ 2 – 4(-4) ≥ -5 ⇒ 2 + 16 ≥ - 5 ⇒ 18 ≥ - 5 ⇒ correct answer

Now, (1, -1) ⇒ -1 – 4(1) ≥ - 5 ⇒ -1 – 4 ≥ - 5 ⇒ -5 ≥ -5 ⇒ correct answer

Now, (4, 0) ⇒ 0 – 4(4) ≥ - 5 ⇒ -16 ≥ -5 ⇒ wrong answer

Now, (5, -2) ⇒ -2 – 4(5) ≥ - 5 ⇒ -2 – 20 ≥ -5 ⇒ -22 ≥ -5 ⇒ wrong answer

Hence, (-2, 1), (-4, 2) and (1, -1) are solutions to given inequality.

8 0

2 years ago