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Misha Larkins [42]
3 years ago
7

Subtract . Your answer should be a polynomial in standard form. (- 5b ^ 2 - 8b) - (- 9b ^ 3 - 5b ^ 2 - 8b) =

Mathematics
2 answers:
Zarrin [17]3 years ago
8 0

Answer:

9b³

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

(-5b² - 8b) - (-9b³ - 5b² - 8b)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                  -5b² - 8b + 9b³ + 5b² + 8b
  2. [Addition] Combine like terms (b²):                                                               9b³ - 8b + 8b
  3. [Addition] Combine like terms (b):                                                                 9b³
sveta [45]3 years ago
5 0

Answer:9b3

Step-by-step explanation:

Distribute the Negative Sign:

=−5b2−8b+−1(−9b3−5b2−8b)

=−5b2+−8b+−1(−9b3)+−1(−5b2)+−1(−8b)

=−5b2+−8b+9b3+5b2+8b

Combine Like Terms:

=−5b2+−8b+9b3+5b2+8b

=(9b3)+(−5b2+5b2)+(−8b+8b)

=9b3

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Calculate cos(480°) and sin(480°).
hram777 [196]

Answer:

\cos(480^\circ)=-\dfrac{1}{2}

\sin(480^\circ)=\dfrac{\sqrt{3}}{2}

Step-by-step explanation:

Calculate the value of trigonometry function.

\cos(480^\circ) and \sin(480^\circ)

Split the angle between 0 to 90° using trigonometry formula.

\Rightarrow \cos(360^\circ+120^\circ)  

\Rightarrow \cos(120^\circ)                \because \cos(360+\theta)=\cos\theta

\Rightarrow \cos(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow -\cos(60^\circ)                       \because \cos(180-\theta)=-\cos\theta

\Rightarrow -\dfrac{1}{2}

Therefore, cos(480°) = -0.5

\Rightarrow \sin(360^\circ+120^\circ)  

\Rightarrow \sin(120^\circ)                \because \sin(360+\theta)=\sin\theta

\Rightarrow \sin(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow \sin(60^\circ)                       \because \sin(180-\theta)=\sin\theta

\Rightarrow \dfrac{\sqrt{3}}{2}

Therefore, sin(480°) = 0.866

7 0
4 years ago
Juan sells 2 sizes of dried wreaths it takes him 3 hours to make each large and 2 hours to make each small one. he has material
Karo-lina-s [1.5K]

Answer:  The answer is (2,9) and (6,3).


Step-by-step explanation: Given that Juan sells 2 sizes of dried wreaths. He takes 3 hours to make each large one and tales 2 hours to make each small one. Also, he has material for maximum 6 large wreaths or maximum 9 small wreaths.

Let, 'x' and 'y' be the number of number of large wreaths and number of small wreaths respectively made by Juan.

So, according to the given information, we have the following relations -

3x+2y\leq 24,~~x\leq 6,~~y\leq 9.

We tried plotting these inequalities in the graph paper (please see the attached figure), and found that the following two solutions will fit the situation perfectly.

Point A (x = 2, y = 9)   and   point B (x = 6, y = 3).

Thus, the two possible combinations are

(i) 2 large wreaths and 9 small wreaths, and

(ii) 6 large wreaths and 3 small wreaths.


7 0
4 years ago
(2, 12), (4, 7), (5, 4) Will the correlation coefficient for these data points be positive or negative?
maw [93]
(2,12)  , (4,7)  -> coefficient is negative, because the x-coordinate is increasing and y-coordinate is decreasing

(4,7),  (5,4)  ->  coeficien is negative too - look above
8 0
3 years ago
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*BRAINIEST &amp; 20 POINTS*<br><br> !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
kondor19780726 [428]

Answer:

8 = x

y = 29

Step-by-step explanation:

4x + 17 = y + 20 because vertical angles theorem.

y + 20 = 5x + 9  because interior angles theorem.

4x + 17 = 5x + 9  because same side interior angles theorem.

Subtract 9 from both sides and subtract 4x from both sides.

8 = x

Plug 8 in for x and solve.

5 times 8 is 40, plus 9 equals 49. Subtract 20 from both sides and you get 29.

5(8) + 9 = y + 20

49 = y + 20

29 = y

I hope this helps!

#teamtrees #WAP (Water And Plant)

5 0
2 years ago
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