(2x2 + 2x - 4) + (x2 – x + 5)<br> Simplify

andreev551 [17]

Answer:

$-10+i\sqrt{2}$

Step-by-step explanation:

One is given the following expression:

$\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}$

In order to simplify and solve this problem, one must keep the following points in mind: the square root function ( $\sqrt{}$ ) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ( $\sqrt{-1}=i$ ). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

$\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}$

$\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}$

Take factors from out of under the radical:

$\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}$

$2-7i\sqrt{2}-12+8i\sqrt{2}$

Simplify,

$-10+i\sqrt{2}$

8 0

2 years ago

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3

kompoz [17]

If an integer is chosen between 1 and 50 inclusive, you have 50 numbers total to deal with, so 50 is in the denominator of our ratio (fraction). All the numbers divisible by 3 in that interval total 16 numbers. So the ratio would be 16/50 for a percentage of 32%

6 0

2 years ago

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The side length of a square ice cube is claimed to be 1.0 inches, correct to within 0.001 inch. Use linear approximation to esti

Olenka [21]

Answer:

0.012

Step-by-step explanation:

Linear approximation says that,

$f(x) \approx f(x_o)+f'(x_o)(x-x_o)$

For a cube the surface area is $6x^2$ .

So the side is 1.0 inch in, the surface area is $=6\times1^2 = 6$ square inches.

In Linear approximation means you ignore the term $x_o^2$ , if $x_o$ is a small number, because then $x_o^2$ will be a very smalle number and that does not contribute much to the error.

So the surface area is approximately,

$6x^2=6x_o^2+12x_o(x-x_o)$

So here, $x=1.001, x_o=0.001$

The error in the area is approximately,

$12 \times 0.001=0.012$

So the error is 0.012.

3 0

2 years ago

If f(x)=3x^2-2 and g(x)=2x+4, Find (f-g)(x)

Nimfa-mama [501]

Answer:

3x^2-2x-6 (APEX)

Step-by-step explanation:

you're welcome

4 0

3 years ago

The median is the same as the ______________.

Ilia_Sergeevich [38]

Answer: Option A

The median is the same as the _ Second quartile_.

Step-by-step explanation:

Given a series of data ordered from least to greatest, the median is the value that is in the center.

That is, the median represents the value that divides 50% of the data.

In the same way, the first quartile $Q_1$ is the value that divides 25% of the data and the third quartile $Q_3$ is the value that divides 75% of the data.

The second quartile $Q_2$ is the number that divides 50% of the data.

Then notice that the second quartile is equal to the median

Then te answer is the option A.

7 0

3 years ago

Read 2 more answers

(2x2 + 2x - 4) + (x2 – x + 5) Simplify