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3 years ago

6y^3-15y^2-8y+20 factor by grouping

Mathematics

1 answer:

lutik1710 [3]3 years ago

7 0

Answer:

(2y - 5) (3y^2 - 4)

Step-by-step explanation:

Group and factor by using the Greatest Common Factor (GCF).

6y^3 - 15y^2 - 8y + 20

Simply multiply the terms inside the first pair of parenthesis, by the terms in the second pair of parenthesis.

2y x 3y^2 = 6y^3

2y x (-4) = 8y

-5 x 3y^2 = 15y^2

-5 x (-4) = 20

6y^3 - 8y -15y^2 + 20

Now, simply simplify the problem!

(2y - 5) (3y^2 - 4)

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irinina [24]

10. Infinitely many solutions:

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Simplify this equation:

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When $?=2x,$ the equation becomes

$8x=8x \text{ or } 0=0.$

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11. The equation $5x-(x-2)=2x-(?)$ should have one solution x=-1.

First, simplify the equation:

$5x-x+2=2x-?,\\ \\4x+2=2x-?,\\ \\2x+2=-?,\\ \\?=-2x-2.$

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12. The equation $-(x-8)+4x=2\cdot ?+x$ should have infinitely many solutions.

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6 0

2 years ago

Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not en

maxonik [38]

Answer:

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

Step-by-step explanation:

We are given the following in the question:

"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."

Independent and Dependent Variable:

Dependent variable is the variable whose value depends on the independent variable.
Independent variable is the free variable.

For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.

Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.

Thus, the correct answer is

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

8 0

3 years ago

Springfield nuclear energy inc bonds are currently trading at 283.30. The bonds have a face value of $1,000, a coupon rate of 2%

vampirchik [111]

<u>Answer:</u>

The yield to maturity of the bonds is 11%

<u>Explanation:</u>

Price at which the bonds is currently trading = 283.30$

Face Value = $1000

Coupon rate = 2%

Hence the coupon bond rate = $1000 ×2%

= $1000\times \frac{2}{100}$

=$20

Years to maturity: 20 years

Formula used:

= $\frac{(C+ (\frac{(F-P)}{n}))}{(\frac{(F+P)}{2})}$

Where C is the bond coupon rate

F is the face value

P is the price

N is the number of years

= $\frac{(20 +(\frac{(1000-283.30)}{20})}{(\frac{(1000+283.30)}{2})}$

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The yield to maturity of the bonds is 11%

3 0

3 years ago

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77julia77 [94]

7/12n is the answer to your question

7 0

3 years ago

A family is driving 600 miles. Assuming they stop to get gas 3 times and eat 2 times, how many hours will it take them to reach

Umnica [9.8K]

Lets assume that they are driving at an average of 70mph, and getting gas takes 10 minutes, and stopping to eat takes 30.

t=d/s

t=600/70
t=8.57

Stopping to eat twice is 30 x 2 = 60 (another hour)

and Gas is 10 x 3 = 30 minutes (0.5 hours)

Total time is,

8.57+1+0.5 =10.07

So the trip will take approx 10.7 hours total.

(This is using my assumptions, from my experience!)

8 0

3 years ago