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mr_godi [17]
3 years ago
9

What is the product of (3 + x) and (2x – 5)

Mathematics
1 answer:
lozanna [386]3 years ago
5 0

Answer:

2x² + x - 15

Step-by-step explanation:

(3 + x)(2x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

3(2x - 5) + x(2x - 5) ← distribute both parenthesis

= 6x - 15 + 2x² - 5x ← collect like terms

= 2x² + x - 15

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You are given a bag of jelly beans. There are 7 red, 8 blue, 4 yellow, and 10 pink. Find the probability of drawing 2 blue in a
miss Akunina [59]
Okay so the probability of drawing a blue bean is

8 / 29 = .276

29 is the total number of jelly beans

When we have replacement, we do not reduce the number of total jelly beans, so the probably of drawing blue stays the same.

But to find the probability of drawing a blue two times in a row, we must square the probability .

(.276) • (.276) = 0.076

Your answer is 7.6% !

If your have any questions, leave a comment! I hope I helped :)
4 0
3 years ago
Find sin(x/2), cos (x/2), and tan(x/2) from the given information.
zhannawk [14.2K]

Step-by-step explanation:

sin(x/2) = sqrt((1 - cos(x))/2)

cos(x/2) = sqrt((1 + cos(x))/2)

tan(x/2) = sin(x/2)/cos(x/2)

sin(x) = 15/17

so, we can assume the Hypotenuse of the right-angled triangle is 17, the vertical leg is 15.

via Pythagoras we get the 3rd, horizontal side :

17² = 15² + side²

289 = 225 + side²

64 = side²

side = 8

cos(x) = 8/17

sin(x/2) = sqrt((1 - 8/17)/2) = sqrt(9/34) = 3/sqrt(34) =

= 0.514495755...

cos(x/2) = sqrt((1 + 8/17)/2) = sqrt(25/34) = 5/sqrt(34) =

= 0.857492926...

tan(x/2) = 3/sqrt(34) / 5/sqrt(34) = 3/sqrt(34) × sqrt(34)/5 =

= 3/5 = 0.6

6 0
2 years ago
Help
grin007 [14]

Answer:

because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.

Step-by-step explanation:

because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.

6 0
3 years ago
Which trig ratio would you use to solve this?
mel-nik [20]

Answer:

Cosine

Step-by-step explanation:

sine = soh=o/h

cos=cah=a/h

tangent=toa=o/a

If you look at right triangle the slanted line is the hypothese. it will always be. so thats h. the adjacent is the line connected the the angle you are looking for. and opposite is the line thats away from the angle.

8 0
3 years ago
Pls help me
Kruka [31]

Answer:

A = pi x r²

A = pi x 8²

A = 64pi

Step-by-step explanation:

I hope this helps :D

5 0
3 years ago
Read 2 more answers
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