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Marrrta [24]
3 years ago
6

Can anyone help me with this ASAP?

Mathematics
2 answers:
Lostsunrise [7]3 years ago
5 0

What's with the gratuitous pi s?

The rule is to preserve inequalities we can only multiply both sides by positive numbers, or non-negative numbers (zero ok) for ≤ and ≥ (but not < and >).

To clear the denominator, first we need all positive factors down there so we multiply by

\dfrac{x-3}{x-3}=1

giving

\dfrac{x(x+2)^2(x-\pi)^3(x-3)}{x^2(x-3)^2(x+\pi)^4} \ge 0

Everything in the denominator is positive now, so we can clear it, multiplying it on both sides.  It vanishes on both sides.

x(x+2)^2(x-\pi)^3(x-3) \ge 0

Again we can divide both sides by the positive factors, which are the squares, including (x-π)².  We'll get zero when those factors are zero (and no zero denominator factor), so we have to remember to include x=0, x=-2, x=3 and x=π in the answer, but we eliminate 0 and 3 from this list because they give zero denominators.

x(x-\pi)(x-3) \ge 0

That's a lot easier to think about.  When x is really negative we're multiplying three negative numbers, so a negative result.

When x is really big we're multiplying three positive numbers, again a positive result.  

Between 0 and pi it's going to alternate.

<0 negative

0-3 positive

3-π negative

>π positive

Since zero is ok we can use ≤ or ≥ as appropriate, but we should also rule out anything that gives a zero denominator, as the truth value of 'undefined ≥ 0' is not really determined.

Answer: 0 < x < 3 or x ≥ π or x=-2

[I missed the x=-2 the first time around; sorry about that.]

Sveta_85 [38]3 years ago
3 0

Answer:

qwertyuiop qwertyuiop

Step-by-step explanation:

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Given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12<br> a + 2b - d = ?
Mariulka [41]

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

a=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

a=

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

8 0
3 years ago
Fifty-three percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly sel
GarryVolchara [31]

Answer:

The unusual X values ​​for this model are: X = 0, 1, 2, 7, 8

Step-by-step explanation:

A binomial random variable X represents the number of successes obtained in a repetition of n Bernoulli-type trials with probability of success p. In this particular case, n = 8, and p = 0.53, therefore, the model is {8 \choose x} (0.53) ^ {x} (0.47)^{(8-x)}. So, you have:

P (X = 0) = {8 \choose 0} (0.53) ^ {0} (0.47) ^ {8} = 0.0024

P (X = 1) = {8 \choose 1} (0.53) ^ {1} (0.47) ^ {7} = 0.0215

P (X = 2) = {8 \choose 2} (0.53)^2 (0.47)^6 = 0.0848

P (X = 3) = {8 \choose 3} (0.53) ^ {3} (0.47)^5 = 0.1912

P (X = 4) = {8 \choose 4} (0.53) ^ {4} (0.47)^4} = 0.2695

P (X = 5) = {8 \choose 5} (0.53) ^ {5} (0.47)^3 = 0.2431

P (X = 6) = {8 \choose 6} (0.53) ^ {6} (0.47)^2 = 0.1371

P (X = 7) = {8 \choose 7} (0.53) ^ {7} (0.47)^ {1} = 0.0442

P (X = 8) = {8 \choose 8} (0.53)^{8} (0.47)^{0} = 0.0062

The unusual X values ​​for this model are: X = 0, 1, 7, 8

6 0
3 years ago
Read 2 more answers
What do I have?<br> what do I need ?<br>what should I use?
Ulleksa [173]
For a:
you have your opposite side
you need your hypotenuse
you should use the s.o.h

4 0
3 years ago
A scuba diver descends 63 feet in 18 seconds.
Elanso [62]

Answer:

3.5

Step-by-step explanation:

the answer is 3.5 because when you divide 63 and 18 you get 3.5

5 0
3 years ago
Decline of 11.3%
Katarina [22]

Answer:

decay.

Step-by-step explanation:

decline means reduce, which is a negative term. decay is also negative.

decimal form= .113 or .11

3 0
3 years ago
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