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Arlecino [84]
3 years ago
6

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

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0
\dfrac{2}{3} x^2 = 24

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

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

---------------------------------------------------------------------
Simplify :
---------------------------------------------------------------------
x^2 = 36

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

---------------------------------------------------------------------
Answer :
---------------------------------------------------------------------
x = \pm6

---------------------------------------------------------------------
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.

6 0
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.

3 0
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.



3 0
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
6 0
3 years ago
Eight point zero one divided by 3
zmey [24]

Answer:

2.67

Step-by-step explanation:

This is right trust if not then alright.

5 0
1 year ago
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