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3 years ago

6y^2-25y+14 factor Help please

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

8 0

Answer:

(3y - 2)(2y - 7)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term

Product = 6 × 14 = 84 and sum = - 25

The required factors are - 4 and - 21

Use these factors to split the y- term

6y² - 4y - 21y + 14 ( factor the first/second and third/fourth terms )

2y(3y - 2) - 7(3y - 2) ← factor out (3y - 2) from each term

= (3y - 2)(2y - 7) ← in factored form

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Johns car averages 28 miles per gallon. how far can her drive on 8.25 gallons

Lilit [14]

Answer: The correct answer is 231 miles

Step-by-step explanation: 28 miles to the gallon x 8.25= 231 miles

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3 years ago

Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. How many different groups

irakobra [83]

Answer:

56 groups of 5 Fabergé eggs can be taken.

Step-by-step explanation:

It is given that Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. In order to find how many different groups of 5 Faberge' eggs can she take, we apply the combination formula:

$8C_{5}=\frac{8!}{5!(8-5)!}$

$8C_{5}=\frac{8!}{5!3!}$

$8C_{5}=\frac{8{\times}7{\times}6{\times}5!}{5!{\times}3{\times}2}$

$8C_{5}=56$

Thus, 56 groups of 5 Fabergé eggs can be taken.

8 0

3 years ago

Describe the expression using an appropriate term or phrase.

Lena [83]

Answer:

2. the sum of 2 terms

Step-by-step explanation:

It is the sum of 2 terms because in this expression you are simply just adding.

3 0

2 years ago

How much interest does $400 make in 5 years at 7% per annum?

ZanzabumX [31]

Answer:

$112

Step-by-step explanation:

7% for each year = $28

7% for four years = $28.4= $112

4 0

3 years ago

What to write it here

Orlov [11]

Answer:

84 degrees

Step-by-step explanation:

Angle A = 83 degrees

Angle B = x degrees

Angle C = 135 degrees

Angle CDE = 122 degrees

We know that the four inner corners of a quadrilateral should add up to 360 degrees. Two supplementary angles will add up to 180 degrees. Adjacent angles on a straight line will always be supplementary. Knowing this, just solve for <ADC and add that amount to <A and <C. Then, subtract that sum from 360 degrees.

<ADC = 180-122 = 58

58+83+135 = 276

360-276 = 84 degrees

7 0

2 years ago