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3 years ago

Factor out the greatest common factor. 4x2 + 2x - 8

Mathematics

1 answer:

marshall27 [118]3 years ago

4 0

Answer:2(2x2+x−4)

Step-by-step explanation:

Factor 4x2+2x−8

4x2+2x−8

=2(2x2+x−4)

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Write an appropriate direct variation equation if y = 27 when x = 9

Yuri [45]

Y = kx where k is a constant

27 = k*9
k = 27/9 = 3

required variation is y = 3x

4 0

4 years ago

Read 2 more answers

The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of

romanna [79]

Answer: a) $\dfrac{3}{874}$

b) $\dfrac{30}{3059}$

c) $\dfrac{3575}{12236}$

Step-by-step explanation:

Given : Number of students : 11

Number of faculty members : 13

Total persons : $11+13=24$

Total number of ways to structure a jury of six people from a group of 24 people :-

$^{24}C_{6}=\dfrac{24!}{6!(24-6)!}=134596$

a) Number of ways of selecting a jury of all students :-

$^{11}C_{6}=\dfrac{11!}{6!(11-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{462}{134596}=\dfrac{3}{874}$

b) Number of ways of selecting a jury of all faculty :-

$^{13}C_{6}=\dfrac{13!}{6!(13-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{1716}{134596}=\dfrac{30}{3059}$

c) Number of ways of selecting a jury of two students and four faculty :-

$^{11}C_{2}\times^{13}C_{4}=\dfrac{11!}{2!(11-2)!}\times\dfrac{13!}{4!(13-4)!}=39325$

Then , the probability of selecting a jury of all students :-

$\dfrac{39325}{134596}=\dfrac{3575}{12236}$

3 0

3 years ago

Ken Has Two Red Shirts, Two Blue Shirts, A Pair Of White Pants And A Pair Of Blue Pants. The Probability That He Will Wear A Red

insens350 [35]

There is a 2 in 4 chance for a red shirt

there is a 1 in 2 chance for blue pants

There is (I think) a 1 in 6 chance for the chosen pain to be worn.

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4 years ago

You interview 913 persons and only 5 prefer Cajun food. What percentage prefer Cajun food?

noname [10]

That would be 5/913. As a percent, that would be 0.5%.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)

3 0

3 years ago

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➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.

IgorC [24]

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm

6 0

3 years ago