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Naddik [55]
3 years ago
8

Please help me!!! This is due at 11:59pm

Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

Step-by-step explanation:

they are saying when  -49 = -12x +47 what is x

so solve for x

-49-47 = -12x

-96 = -12x            (b/c there are two negative signs they cancel out )

\frac{96}{12} =x

8 = x

:)   so when you input an 8 you get out a -49  

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Factor the polynomial x2 + 2x – 3x – 6 by double grouping. Group terms with common factors: (x2 + 2x) + (– 3x – 6) Factor the GC
garik1379 [7]

We have been given a polynomial and we are asked to factor our polynomial by double grouping.

x^{2} +2x-3x-6

First of all we will group terms with common factors. We can see that x^{2} and 2x have a common factor x. Common factor of -3x and -6 is -3.

x^{2} +2x-3x-6

(x^{2} +2x)+(-3x-6)

Now we will factor out Greatest Common Factor from each group.

x(x+2)-3(x+2)

After factoring out GCF from each group we got (x+2) as our common binomial.  Now we will write our polynomial as a product of two binomials as:

(x+2)(x-3)

Therefore, our polynomial as a product of two binomials will be (x+2)(x-3).  

8 0
3 years ago
Read 2 more answers
Z^5=-243i, find the solution to the equation whose argument is strictly between 180 degrees and 270 degrees. Round your answer t
11Alexandr11 [23.1K]

Answer:

The solution is z = -2.853 - i 0.927.

Step-by-step explanation:

Complex power is determined by means of the De Moivre's Theorem, whose expression is:

z^{n} = r^{n} \cdot (\cos n\theta + i \sin n\theta)

Where r is the norm of the complex number. In this case, expression can be written as:

-i 243 = 3^{5} \cdot (\cos 5\theta + i \sin 5\theta)

The real component must be equal to zero and complex component must be equal to -1. That is to say:

\cos 5\theta = 0

\sin 5\theta = -1

Possible solutions for each component are, respectively:

Real component

5\theta = \cos^{-1}0

5\theta = \frac{\pi}{2} \pm \pi\cdot j, \forall j \in \mathbb{N}_{O}

\theta = \frac{\pi}{10} \pm \frac{\pi}{5}  \cdot j, \forall j \in \mathbb{N}_{O}

Possible solutions: \frac{11\pi}{10}, \frac{13\pi}{10}, \frac{3\pi}{2}

Complex component

5\theta = \sin^{-1}(-1)

5\theta = \frac{3\pi}{2} \pm 2\pi \cdot j, \forall j \in \mathbb{N}_{O}

\theta = \frac{3\pi}{10} \pm \frac{2\pi}{5}  \cdot j, \forall j \in \mathbb{N}_{O}

Possible solutions: \frac{11\pi}{10}, \frac{3\pi}{2}

There is one solution whose argument is strictly between 180 degrees (\pi) and 270 degrees (1.5\pi).

z = 3 \cdot \left( \cos \frac{11\pi}{10} + i \sin \frac{11\pi}{10} \right)

z = -2.853 - i 0.927

6 0
3 years ago
1/8 + 1/4 estimate the sum or difference
stepladder [879]

When estimating you need to round up or down to find something close to the real answer. Here we would round 1/8 down to 0 and 1/4 down to 0. So 0+0=0.

Your estimated answer is 0

The real answer is 3/8 so 0 is close and that is the point in estimating

4 0
3 years ago
What percentage of 85 is 10​
Artemon [7]

<em>☽------------❀-------------☾</em>

<em>Hi there!</em>

<em>~</em>

<em>What percentage of 85 is 10​?</em>

<em></em>= 11.76<em></em>

<em>(These are just some tips)</em>

<em>                ↓↓↓</em>

<em>Take the number and multiple it by 85. Then multiply that by . 01.</em>

<em>To calculate 10 percent of a number, simply divide it by 10 or move the decimal point one place to the left. For example, 10 percent of 230 is 230 divided by 10, or 23.</em>

<em>❀Hope this helped you!❀</em>

<em>☽------------❀-------------☾</em>

<em></em>

8 0
3 years ago
Write a story or real life situation that situation that could be solved with 24 /6
uranmaximum [27]
24/6 is 6 so answer is 6.
4 0
4 years ago
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