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3 years ago

Hey I need help with this question: 6(x-3)^2-26 = 10

Mathematics

1 answer:

ra1l [238]3 years ago

7 0

Answer:

x = 3 ±sqrt(6)

Step-by-step explanation:

6(x-3)^2-26 = 10

Add 26 to each side

6(x-3)^2-26+26 = 10+26

6(x-3)^2 = 36

Divide by 6

6/6(x-3)^2 = 36/6

(x-3)^2 = 6

Take the square root of each side

sqrt((x-3)^2) = ±sqrt(6)

x-3 = ±sqrt(6)

Add 3 to each side

x-3+3 =3 ±sqrt(6)

x = 3 ±sqrt(6)

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valentinak56 [21]

The inequality that describes this scenario is:

$18 + 0.08B \geq 75$

----------------------

The entrance fee is of $18.
Each paintball costs $0.08.
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$C(B) = 18 + 0.08B$

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For the promotion, the spending must be of at least $75, thus, the inequality that describes this scenario is:

$C(B) \geq 75$

$18 + 0.08B \geq 75$

A similar problem is given at brainly.com/question/22312773

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3 years ago

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Elza [17]

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4 years ago

Nine times ten to the negative eleventh power over two point four times ten to the eighth power

Greeley [361]

Answer:

9(10^-11)10^8

2.4

Step-by-step explanation:

That is the correct answer

8 0

3 years ago

Given the Standard Form equation y - 6x = 4

malfutka [58]

Answer: 6 is the slope and 4 is the y-intercept.

Step-by-step explanation:

Based on the question, I feel this is the best way to answer your question. I'm assuming you are in a basic graphing class.

The best, most useful thing for you right now would be to learn slope-intercept form, y = mx + b, where m and b are constants.

Simply add 6x to both sides to get into this form

y = 6x + 4.

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3 years ago

Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
x = 0.5 , -2

Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

Hence ,

B ={1,4}

Now ,

A U B = { 0.5 , 1 , 4 , -2}
A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

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3 years ago