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Aleksandr [31]
2 years ago
5

9x2 - 21x + 4x4 - 9 by 2x - 3​

Mathematics
1 answer:
Alinara [238K]2 years ago
4 0

9514 1404 393

Answer:

  2x^3 +3x^2 +9x +3

Step-by-step explanation:

Polynomial long division works best with the polynomials written in standard form, with appropriate 0 terms added where necessary to account for all of the powers of the variable.

As shown in the "Hints," the quotient terms are the ratio of the leading dividend term and the leading divisor term. The product of the quotient term and divisor is subtracted from the dividend to get the new dividend at each step.

The result of your division is 2x^3 +3x^2 +9x +3.

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Please please help me!!!! :)
kifflom [539]

Answer:

Measure of ∠5 is 142°

Step-by-step explanation:

We are given that, Lines L and M are parallel.

As, the third line is intersecting both line L and M.

<em>We know that, 'The opposite angles formed by the intersecting lines are equal'.</em>

Since, the sum of the four angles formed by the third line and M is 360°.

So, we get,

∠1 + ∠6 + ∠7 + 38 = 360°

i.e. 2∠1 + 2×38°  = 360°

i.e. 2∠1 = 360° - 76°

i.e. 2∠1 = 284°

i.e. ∠1 = 142°

Thus, ∠1 = ∠7 = 142°

Since, L and M are parallel.

So, ∠3 = ∠5 = 142°

Hence, we get that measure of ∠5 is 142°.

3 0
3 years ago
How many decibels is this? show work​
slavikrds [6]

Answer:

  • <u>115 dB</u>

Explanation:

<u>1. Given equation:</u>

\beta =10log(\frac{I}{I_0})\\\\ I_0=10^{-12}W/m^2

<u>2. Given intensity:</u>

I=0.315W/m^2

<u>3. Decibels</u>

\beta =10log(0.315/10^{-12})\\ \\ \beta =10log(315,000,000,000)\\ \\ \beta =10(11.498)=114.98\approx 115

4 0
3 years ago
Two numbers rolled can be added to get a sum. Find P(sum is even.)
azamat
When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).

You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.

Therefore:
P(sum is even) = 2 / 4 = 0.5

Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.
6 0
3 years ago
340,250 rounded to the nearest thousand?
kondor19780726 [428]

Answer:

340,000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the logarithmic function y = logbx that passes through the points
katovenus [111]

b\in(0,\ 1)\ \cup\ (1,\ \infty)\\x > 0\\y\in\mathbb{R}\\--------------------------\\\\y=\log_bx\\\\For\ (1,\ 0)\to x=1,\ y=0.\ Substitute:\\\\\log_b1=0\to b^0=1\to b\in(0,\ 1)\ \cup\ (1,\ \infty)\\\\For\ (116,\ 2)\to x=116,\ y=2.\ Substitute:\\\\\log_b116=2\to b^2=116\to b=\sqrt{116}\\\to b=\sqrt{4\cdot29}\to b=\sqrt4\cdot\sqrt{29}\to b=2\sqrt{29}\\\\For\ (4,\ -1)\to x=4,\ y=-1.\ Substitute:\\\\\log_b4=-1\to b^{-1}=4\to b=\dfrac{1}{4}

Different values of b.

<h3>Answer: There is no logarithmic function whose graph goes through given points.</h3><h3 />

Maybe the second point is \left(\dfrac{1}{16},\ 2\right)

Substitute:

\log_b\dfrac{1}{16}=2\to b^2=\dfrac{1}{16}\to b=\sqrt{\dfrac{1}{16}}\to b=\dfrac{1}{4}

<h3>Then we have the answer:</h3>

\boxed{y=\log_{\frac{1}{4}}x}

6 0
3 years ago
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