MATHEMATICS HIGH SCHOOL

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out. What is the common binomial factor between the two groups after their GCFs have been factored out?

a)2x + 5
b)2x − 5
c)x2 − 2
d)x2 + 2

Answers

Answer 1
Answer: 2x³ - 5x² + 4x - 10

(2x³ + 4x) + (-5x² - 10)

2x(x² + 2) - 5(x² + 2) = Answer is Choice D. x² + 2
Answer 2
Answer:

The common binomial factor between the two groups after their GFCs factored out 2x + 5.

The correct option is (A)

What  is GCF?

The greatest commonfactor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given: 2x³ - 5x² + 4x - 10, splits into (2x³ + 4x) + (-5x² - 10)

So, to find the GCF factorise each term

= (2x³ + 4x) + (-5x² - 10)

= 2*x*x*x+2*2*x-5*x*x-2*5

= 2x(x²+2)-5(x²+2)

= (2x-5) (x²+2)

Hence, the  common binomial factor between the two groups (2x-5).

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How much interest will be paid in 1 year for a loan of $4500 at 7 1/2% simple interest?

Answers

The answer is $337.50 paid. We would change 7 1/2% (7.5%) to its decimal form which is .075. Then we would multiply that by $4,500 which would get $337.5 or $337.50 which is the same thing. Hope this helped! 

What is the area, in square centimeters, of the shape below?

Answers

Answer:

21.46 cm squared

Step-by-step explanation:

3.8x5.8=21.46

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In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso. It costs $40 to travel from Tucson to Flagstaff, and $90 to travel from Albuquerque to El Paso. So, how much does Bart need to pay?

Answers

Answer:

$20.

Step-by-step explanation:

Given:

In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso.

It costs $40 to travel from Tucson to Flagstaff,

And $90 to travel from Albuquerque to El Paso.

Question asked:

How much does Bart need to pay ?

Solution:

Fair to travel from Tucson to Flagstaff = $40

Fair to travel from Albuquerque to El Paso = $90

As Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso.

Bart\ need\ to\ pay=2 *\$40 - (2)/(3) *\$90\n \n

                            =80-(180)/(3) \n \n =80-60\n \n =20

Thus, Bart need to pay $20.

PLZ HELP  MEWhich pair of fractions is equivalent to this pair: 3/5 and 2/7 ?

A.
21/35 and 10/35

B.
10/35 and 7/35

C.
7/35 and 5/35

D.
24/35 and 12/35

Answers

To find equivalent fractions, multiply both sides of the fraction by the same number.
3*7=21. 5*7=35.

2*5=10. 7*5=35.

So the answer is A.

:) 

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