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3 years ago

Find the smallest possible solution to 2/3x^2=24

1 answer:

4 0

$\dfrac{2}{3} x^2 = 24$

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Divide by 2/3 on both sides :
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$x^2 = 24 \div \dfrac{2}{3}$

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Change the divide fraction to multiplication fraction :
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$x^2 = 24 \times \dfrac{3}{2}$

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Simplify :
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$x^2 = 36$

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Square root both sides :
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$x = \pm \sqrt{36}$

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Answer :
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$x = \pm6$

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Answer: The smallest possible value of x is -6
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4 loads of stone weigh23ton. Find the weight of 1 load of stone.

mrs_skeptik [129]

Answer: 1 load of stone weighs 5.75 tons.

Step-by-step explanation: You'll need to divide 23 by 4 leaving you with 5.75. This will help you get a number that is potentially the weight of 1 load. To check to see if this is right, multiply 5.75 by 4 to get 23.

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2 years ago

The binomial x-2 is a factor of the polynomial below. f(x)=x3+x2+nx+10 What is the value of n?

Nutka1998 [239]

<h3>Answer: n = -11</h3>

=========================================================

Explanation:

Since x-2 is a factor of f(x), this means f(2) = 0.

More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

So if we plugged x = 2 into f(x), we'd get

f(x) = x^3+x^2+nx+10

f(2) = 2^3+2^2+n(2)+10

f(2) = 8+4+2n+10

f(2) = 2n+22

Set this equal to 0 and solve for n

2n+22 = 0

2n = -22

n = -22/2

n = -11 is the answer

Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10

Plug x = 2 into that updated f(x) function to find....

f(x) = x^3+x^2-11x+10

f(2) = 2^3+2^2-11(2)+10

f(2) = 8+4-22+10

f(2) = 0

Which confirms our answer.

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3 years ago

A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d

Alekssandra [29.7K]

Answer: option d. C (0,3), D (0,5).

Justification:

1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.

2) The y-coordinates of the vertices A and B are also shown in the diagrama. They are equal to 3 and 5 respectively.

3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.

That distance is 4, so the line may be y = - 7 or y = 0.

4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.

5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.

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3 years ago

Read 2 more answers

Evaluate the expression 2s for s=9

Bas_tet [7]

Hello, there!

If s = 9, then 2s = 2 * 9

2 * 9 = 18

2s = 18

I hope I helped!

Let me know if you need anything else!

~ Zoe

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3 years ago

Eight point zero one divided by 3

zmey [24]

Answer:

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Step-by-step explanation:

This is right trust if not then alright.

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