Can this be simplified any further?15x^2+-27x

1 answer:

3 0

Yes; if you look at both terms, they both have a common factor of 3x, therefore, this expression can be simplified as 3x(5x-9).

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There are 6 sixth graders , 7 seventh graders , and 8 eight graders entered in a contest.

fgiga [73]

Answer:

See below ~

Step-by-step explanation:

P (6th grader)

No. of 6th graders / Total students
6 / 6 + 7 + 8
6/21
2/7

P (6th grader after)

No. of 6th graders - 1 / Total students - 1
6 - 1 / 21 - 1
5/20
1/4

Question 1 : P (Both 6th graders)

P = P (6th grader) × P (6th grader after)
P = 2/7 x 1/4 = 2/28 = 1/14

Question 2 : P' (Both 6th graders)

P' = 1 - P
P' = 1 - 1/14
P' = 13/14

4 0

1 year ago

Read 2 more answers

128 ounces is how many pounds

LiRa [457]

Answer:

An ounce is a unit of weight equal to 1/16th of a pound or about 28.35 grams.

A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.

Step-by-step explanation:

128 Ounces =

8 Pounds

6 0

3 years ago

Read 2 more answers

Find all solutions to the equation. 7 sin2x - 14 sin x + 2 = -5

cestrela7 [59]

$\bf 7sin^2(x)-14sin(x)+2=-5\implies 7sin^2(x)-14sin(x)+7=0 \\\\\\ \stackrel{\textit{notice, this is just }ax^2+bx+c}{\stackrel{\stackrel{ax^2}{\downarrow }}{sin^2(x)}\stackrel{\stackrel{bx}{\downarrow }}{-2sin(x)}\stackrel{\stackrel{c}{\downarrow }}{+1}}=0\implies [sin(x)-1][sin(x)-1]=0 \\\\\\ sin(x)-1=0\implies sin(x)=1\implies \measuredangle x=sin^{-1}(1)\implies \measuredangle x=\cfrac{\pi }{2} \\\\\\ ~~~~~~~~~~~~~~\stackrel{\textit{and for all solutions using }n \in \mathbb{Z}}{\cfrac{\pi }{2}+2\pi n}$