2 years ago

Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did Sean answer correctly?

Mathematics

1 answer:

butalik [34]2 years ago

3 0

Answer:

90%

Step-by-step explanation:

18 divided by 20 = .9 witch means 90% of 1

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Two students, Carlos and Sophie, factored the trinomial -4x2 − 10x + 6. Sophie factored it as -2(2x − 1)(x + 3) and Carlos facto

damaskus [11]

Sophie has factored the term completely while Carlos has not factored the term completely.

Step-by-step explanation:

We need to factor the trinomial:

$-4x^2-10x + 6$

Factoring:

$-4x^2-10x + 6\\Taking\,\,-2\,\,common:\\-2(2x^2+5x-3)\\Now\,\,factoring:\\-2(2x^2+6x-x-3)\\-2(2x(x+3)-1(x+3))\\-2(2x-1)(x+3)$

So, the factored form of $-4x^2-10x + 6$ is $-2(2x-1)(x+3)$

So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.

Keywords: Factoring the terms

Learn more about Factoring the terms at:

#learnwithBrainly

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2 years ago

An express train makes a run of 240 km at a certain speed. Another train whose speed is 12 km/hr less takes an hour longer to co

Evgesh-ka [11]

Answer:

12.63 km/hr

Step-by-step explanation:

Given the distance=240km

At 12 km/hr it will take =240/12 =20

time for Express train = 20-1=19

speed=240/19=12.63...km/hr

3 0

3 years ago

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Which expression is the factorization of x2 + 10x + 212

Montano1993 [528]

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to elaborate the expression :

${x}^{2} + 10x + 21$

$= {x}^{2} + 3x + 7x + 21$

Next you have to take out the common factors and factorize it :

${x}^{2} + 3x + 7x + 21$

$= x(x + 3) + 7(x + 3)$

$= (x + 7)(x + 3)$

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3 years ago

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Triangle ABC is similar to triangle DEF and has a ratio of similarity of 5:2. If side AB measures 30 mm, how long is side DE

Rashid [163]

The side of DE would be 12 mm

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2 years ago

Round your answer to the nearest hundredth.

Dmitry_Shevchenko [17]

tan 35 = BC / 2

0.700 = bc/2

bc = 1.4

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2 years ago

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