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3 years ago

Eight more than the product of two and a number x

1 answer:

7 0

The answer is 8+2x

This is because product means<span> the result of multiplying, or an expression that identifies factors to be multiplied. So 8 plus the product of 2 and the variable x this expression is written like this 8+2x.</span>

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If x= 1/2-√3 , prove that x³-2x²-7x+5=3

prohojiy [21]

$x=\frac{1}{2}-\sqrt3\\\\x^3-2x^2-7x+5=3\\\\(\frac{1}{2}-\sqrt3)^3-2(\frac{1}{2}-\sqrt3)^2-7(\frac{1}{2}-\sqrt3)+5\\\\=(\frac{1}{2})^3-3\cdot(\frac{1}{2})^2\cdto\sqrt3+3\cdot\frac{1}{2}\cdot(\sqrt3)^2-(\sqrt3)^3-...\\\\...-2[(\frac{1}{2})^2-2\cdot\frac{1}{2}\cdot\sqrt3+(\sqrt3)^2]-\frac{7}{2}+7\sqrt3+5$

$=\frac{1}{8}-\frac{3\sqrt3}{4}+\frac{9}{2}-3\sqrt3-2(\frac{1}{4}-\sqrt3+3)-\frac{7}{2}+7\sqrt3+5\\\\=\frac{1}{8}+\frac{9}{2}-\frac{1}{2}-6-\frac{7}{2}+5-\frac{3}{4}\sqrt3-3\sqrt3+2\sqrt3+7\sqrt3\\\\=\frac{1}{8}+\frac{1}{2}-1+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{1}{2}+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{4}{8}+5\frac{1}{4}\sqrt3\\\\=-\frac{3}{8}+5\frac{1}{4}\sqrt3\neq3$

6 0

2 years ago

What is the awnser to that question

nataly862011 [7]

The correct answer is A square root of 41

6 0

3 years ago

g If A and B are disjoint events, with P( A) = 0.20 and P( B) = 0.30. Then P( A and B) is: a. .00 b. .10 c. .50 d. 0.06

Lostsunrise [7]

Answer: A) 0

P(A and B) = 0 when events A and B are disjoint, aka mutually exclusive.

We say that two events are mutually exclusive if they cannot happen at the same time. An example would be flipping a coin to have it land on heads and tails at the same time.

8 0

3 years ago

P(A) = ? <br> Explain how you got the answer as well.

Leto [7]

Answer:

0.5

Step-by-step explanation:

we see that A is 1 of 2 choices, so theoretically, P(A) = 1/2 = 0.5

5 0

3 years ago

A swimming pool has a length of 25 ft, a width of 15 fr, and a depth of 4 ft. What is the volume of the water in this pool when

timofeeve [1]

Answer:

1312.5 cubic feet

Step-by-step explanation:

Let the swimming pool be a rectangular prism

The volume of a rectangular prism is:

Volume = length * width * depth

Length = 25 (given)

Width = 15 (given)

The depth is 4ft, but they want the volume when water is 6 inches FROM THE TOP, that is, out of 4 feet, 6 inches (1/2 feet) IS NOT FILLED. So the depth of water is

4 - 1/2 = 3.5 feet

So, we can say

Depth = 3.5 (found)

Hence, the volume would be:

Volume = 25 * 15 * 3.5 = 1312.5 cubic feet

8 0

3 years ago