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3 years ago

Complete factorization of 6x^2?

Mathematics

1 answer:

prisoha [69]3 years ago

8 0

Answer:

complete factorization. one in which all polynomial factors (excluding monomial factors) are prime; for example, the factorization of 4x² + 8x - 60 to 4(x² + 2x - 15) is not complete because the trinomial x² + 2x - 15 can itself be factored.

Step-by-step explanation:

hope this helps you :)

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Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should

GuDViN [60]

Answer:

Joe's wife must drive at a rate of 45km/hour.

Step-by-step explanation:

We are given that Joe leaves home and bikes at a speed of 30km/hour. Joe's wife leaves home five minutes later by car, and we want to determine her speed in order for her to catch up to Joe in 10 minutes.

Since Joe bikes at a speed of 30km/hour, he bikes at the equivalent rate of 0.5km/min.

Then after five minutes, when his wife leaves, Joe is 5(0.5) or 2.5 km from the house. He will still be traveling at a rate of 0.5km/min, so his distance from the house can be given by:

$2.5+0.5t$

Where t represents the time in minutes after his wife left the house.

And since we want to catch up in 10 minutes, Joe's distance from the house 10 minutes after his wife left will be:

$2.5+0.5(10)=7.5\text{ km}$

Let s represent the wife's speed in km/min. So, her speed times 10 minutes must total 7.5 km:

$10s=7.5$

Solve for s:

$\displaystye s=0.75\text{ km/min}$

Thus, Joe's wife must drive at a rate of 0.75km/min, or 45km/hour.

3 0

3 years ago

What is the slope of the line that passes through the points (14, 5) and (20, –4)? A. -3/2 B. -2/3 C. 2/3 D. 3/2

Lynna [10]

The slope of the line that passes through the points (14/5) and (20, -4), so you take y-y/x-x so you substitute the y's in for 5 and -4 and x in for 14 and 20.

5--4/ 14-20
9/-6
Then you make the fraction smaller!
-3/2 = Answer

6 0

4 years ago

9 +8-7 how do i do this

sattari [20]

Answer:

the answer is 10

Step-by-step explanation:

add 9+8

subtract ten

get 7

9+8=17-10=7

good luck

3 0

4 years ago

The number of polar bears in a region is decreasing by 5% per year There are 3000 polar bears in the region in 2017 What year wi

grin007 [14]

Answer:

2031

Step-by-step explanation:

3000divide100=30x5=150x14=2100

2017+14=2031 w

6 0

3 years ago

Match the reasons with the statements. GIVEN: x2 + 6x + 2x + 12 = 0 TO PROVE: x = -6 or x = -2 1. x2 + 6x + 2x + 12 = 0 Subtract

mestny [16]

Given: $x^2 + 6x + 2x + 12 = 0.$

1. Combining like terms (here terms 6x and 2x both contain x, then we can combine them):

$x^2+(6x+2x)+12=0,\\\\x^2+8x+12=0.$

2. Distributive postulate:

$x^2+8x+12=(x+6)(x+2).$

The equation is

$(x+6)(x+2)=0.$

3. Zero product postulate (zero product postulate state that if a product of two factors is equal to zero, then first factor is equal to zero or second factor is equal to zero):

$x+6=0 \text{ or } x+2=0.$

4. Subtraction property of equality:

a) subtract 6 from the first equation:

$x+6=0\Rightarrow x+6-6=-6, \ x=-6.$

b) subtract 2 from the second equation:

$x+2=0\Rightarrow x+2-2=-2, \ x=-2.$

6 0

3 years ago

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