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otez555 [7]
3 years ago
15

6) Find the difference of (4x - 5) and (6x + 8)

Mathematics
2 answers:
lesya [120]3 years ago
8 0

Answer:

- 2 - 13

Step-by-step explanation:

( 4 x - 5 ) - ( 6 x + 8 )

= 4 x - 5 - 6 x + 8

Arranging like terms together

= 4 x - 6 x - 5 - 8

= - 2 x - 13

Allushta [10]3 years ago
6 0

Answer:

-2x- 13

Step-by-step explanation:

Hi there!

(4x - 5)-(6x + 8)

Open up the parentheses

4x - 5-6x - 8

Combine like terms

4x -6x- 5 - 8\\-2x- 13

I hope this helps!

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A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, along with some small ta
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Step-by-step explanation:

Because the number of tables have to be less then 140 and you have to multiply to find the number of small tables that can fit

6 0
3 years ago
Prove it. this question is from trigonometry ​
konstantin123 [22]

Answer:

See below for step-by-step proof.

Step-by-step explanation:

\textsf{Given expression}:

\cos^6 \theta+\sin^6 \theta

\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:

\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3

\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):

\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)

\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:

\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)

\implies 1-3 \cos^2 \theta\sin^2 \theta

\implies 1-3 (\cos \theta\sin \theta)^2

\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:

\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2

\implies 1-\dfrac{3}{4} \sin^2 2 \theta

\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta

\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)

\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta

\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta

\textsf{Factor out }\dfrac{1}{4}:

\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)

\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:

\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)

\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)

\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)

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6 0
2 years ago
Fifty percent of households say they would feel secure if they had​ $50,000 in savings. you randomly select 8 households and ask
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Step-by-step Answer:

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0  0.00390625  0.00390625

1  0.03125           0.03515625

2  0.109375        0.14453125

3  0.21875           0.36328125

4  0.2734375      0.63671875

5  0.21875           0.85546875

6  0.109375        0.96484375

7  0.03125          0.99609375

8  0.00390625  1.0

From the table, we see clearly that

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(b) probability  P(x>5)=1-0.8555=0.1445

(c) probability  P(x<=5) = 0.8555

Note: All answers above have been rounded to the nearest 4 places of decimals.

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Then multiplying that we get 16/75 is 21.3%
7 0
3 years ago
Read 2 more answers
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