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aev [14]
3 years ago
6

Factor the expression 6g^2+11g-35

Mathematics
1 answer:
blagie [28]3 years ago
5 0

Answer:

(3g-5)(2g+7)

Step-by-step explanation:

Compare

6g^2+11g-35 to

ag^2+bg+c.

We should see that a=6, b=11,c=-35.

It these is factoable over the rationals we should be able to find two numbers that multiply to be ac and add up to be b.

ac=6(-35)

b=11

Now I really don't want to actually find the product of 6(-35). I'm just going to play with the factors until I see a pair that adds up to 11.

6(-35)

30(-7)  Moved a factor of 5 around.

10(-21) Moved a factor of 3 around.

10 and -21 is almost it.  We just need to switch where the negative is because we want a sum of 11 when we add the numbers (not -11).

So b=-10+21 and ac=-10*21.

We are going to replace b in

6g^2+11g-35

with -10+21.

We can do this because 11 is -10+21.

Let's do it.

6g^2+(-10+21)g-35

6g^2+-10g+21g-35

Now we are going to factor the first two terms together and the second two terms together.

Like so:

(6g^2-10g)+(21g-35)

We are going to factor what we can from each pair.

2g(3g-5)+7(3g-5)

There are two terms both of these terms have a common factor of (3g-5) so we can factor it out:

(3g-5)(2g+7)

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3 years ago
Rob ran 27.2 miles less than Jasmine last week. Rob ran 10 miles. How many miles did Jasmine run?
jeka94

Answer:

Jasmine ran last week 37.2 miles

Step-by-step explanation:

Let

x ----> number of miles Rob ran last week

y ----> number of miles Jasmine ran last week

we know that

x=y-27.2 ----> equation A

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4 0
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The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a
Leno4ka [110]
The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?

A. The letter t occurs less than 26 times on approximately 170 of these pages. 

B. The letter t occurs less than 26 times on approximately 15 of these pages. 

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.Answer: 
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<span>that means that "26" is 1 s.d. down, or at the 16th %ile </span>


<span>so, there is a .16 chance that "t" will occur less than 26 times on any single page. </span>
<span>consequently, there is a .84 chance that it will occur more than 26 times on any single page. </span>

<span>Using that information, and knowing that 16% of 500 is 80, and 84% of 500 is 420, can you see where "C" is correct? </span>
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