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____ [38]
3 years ago
7

How do i factor 2x^2+11x+5

Mathematics
2 answers:
ira [324]3 years ago
7 0
For simple integer factors as this one has, you want to find two values for the quadratic in the form ax^2+bx+c.   Let the two values be j and k.  These two values must satisfy two conditions.

jk=ac=10 and j+k=b=11, so j and k must be 1 and 10.

Now replace bx with jx and kx...

2x^2+x+10x+5  now factor 1st and 2nd pair of terms.

x(2x+1)+5(2x+1)

(x+5)(2x+1)
pantera1 [17]3 years ago
6 0
Factor by grouping.Tap for fewer steps...For a polynomial of the form <span><span><span><span>a<span>x2</span></span>+<span>bx</span></span>+c</span><span><span><span>a<span>x2</span></span>+<span>bx</span></span>+c</span></span>, rewrite the middle term as a sum of two terms whose product is <span><span><span><span>a⋅c</span>=<span>2⋅5</span></span>=10</span><span><span><span>a⋅c</span>=<span>2⋅5</span></span>=10</span></span> and whose sum is <span><span>b=<span>−11</span></span><span>b=<span>-11</span></span></span>.Tap for fewer steps...Factor <span><span>−11</span><span>-11</span></span> out of <span><span><span>−11</span>x</span><span><span>-11</span>x</span></span>.<span><span><span><span><span>2<span>x2</span></span><span><span>−11</span>x</span></span>+5</span>=0</span><span><span><span><span>2<span>x2</span></span><span><span>-11</span>x</span></span>+5</span>=0</span></span>Rewrite <span><span>−11</span><span>-11</span></span> as <span><span>−10</span><span>-10</span></span> plus <span><span>−1</span><span>-1</span></span><span><span><span><span><span>2<span>x2</span></span>+<span><span>(<span><span>−10</span><span>−1</span></span>)</span>x</span></span>+5</span>=0</span><span><span><span><span>2<span>x2</span></span>+<span><span><span>-10</span><span>-1</span></span>x</span></span>+5</span>=0</span></span>Apply the distributive property.<span><span><span><span><span>2<span>x2</span></span>+<span>(<span><span><span>−10</span>x</span><span><span>−1</span>x</span></span>)</span></span>+5</span>=0</span><span><span><span><span>2<span>x2</span></span>+<span><span><span>-10</span>x</span><span><span>-1</span>x</span></span></span>+5</span>=0</span></span>Remove parentheses.<span><span><span><span><span><span>2<span>x2</span></span><span><span>−10</span>x</span></span><span><span>−1</span>x</span></span>+5</span>=0</span><span><span><span><span><span>2<span>x2</span></span><span><span>-10</span>x</span></span><span><span>-1</span>x</span></span>+5</span>=0</span></span>Factor out the greatest common factor from each group.Tap for fewer steps...Group the first two terms and the last two terms.<span><span><span><span>(<span><span>2<span>x2</span></span><span><span>−10</span>x</span></span>)</span>+<span>(<span><span><span>−1</span>x</span>+5</span>)</span></span>=0</span><span><span><span><span>2<span>x2</span></span><span><span>-10</span>x</span></span>+<span><span><span>-1</span>x</span>+5</span></span>=0</span></span>Factor out the greatest common factor (GCF) from each group.<span><span><span><span><span>2x</span><span>(<span>x<span>−5</span></span>)</span></span><span><span>−1</span><span>(<span>x<span>−5</span></span>)</span></span></span>=0</span><span><span><span><span>2x</span><span>x<span>-5</span></span></span><span><span>-1</span><span>x<span>-5</span></span></span></span>=0</span></span>Factor the polynomial by factoring out the greatest common factor, <span><span>x<span>−5</span></span><span>x<span>-5</span></span></span>.<span><span><span><span>(<span>x<span>−5</span></span>)</span><span>(<span><span>2x</span><span>−1</span></span>)</span></span>=0</span><span><span><span>x<span>-5</span></span><span><span>2x</span><span>-1</span></span></span>=0</span></span>Set <span><span>x<span>−5</span></span><span>x<span>-5</span></span></span> equal to <span>00</span> and solve for <span>xx</span>.Tap for fewer steps...Set the factor equal to <span>00</span>.<span><span><span>x<span>−5</span></span>=0</span><span><span>x<span>-5</span></span>=0</span></span>Since <span><span>−5</span><span>-5</span></span> does not contain the variable to solve for, move it to the right side of the equation by adding <span>55</span> to both sides.<span><span>x=5</span><span>x=5</span></span>Set <span><span><span>2x</span><span>−1</span></span><span><span>2x</span><span>-1</span></span></span> equal to <span>00</span> and solve for <span>xx</span>.Tap for fewer steps...Set the factor equal to <span>00</span>.<span><span><span><span>2x</span><span>−1</span></span>=0</span><span><span><span>2x</span><span>-1</span></span>=0</span></span>Since <span><span>−1</span><span>-1</span></span> does not contain the variable to solve for, move it to the right side of the equation by adding <span>11</span> to both sides.<span><span><span>2x</span>=1</span><span><span>2x</span>=1</span></span>Divide each term by <span>22</span> and simplify.Tap for more steps...<span><span>x=<span>12</span></span><span>x=<span>12</span></span></span>The solution is the result of <span><span><span>x<span>−5</span></span>=0</span><span><span>x<span>-5</span></span>=0</span></span> and <span><span><span><span>2x</span><span>−1</span></span>=0</span><span><span><span>2x</span><span>-1</span></span>=0</span></span>.<span><span>x=5,<span>12</span></span><span>x=5,<span>12</span></span></span>
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xz_007 [3.2K]
Yeah, x= 7/2 and y= -5/2
Please mark as brainliest and I hope this helps
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3 years ago
Camilla bought a book that was on sale for 25% off the retail price. The retail price of the book was $12. What was the price Ca
Nonamiya [84]

Answer:

The price that Camilla paid for the book was $9.

Step-by-step explanation:

To be able to find the pice that Camilla paid for the book, first, you have to calculate the 25% of the price of the book:

$12*25%=$3

Now, you have to subtract that amount from the price of the book:

$12-$3=$9

According to this, the answer is that the price that Camilla paid for the book was $9.

6 0
3 years ago
In a random sample of 30 people who rode a roller coaster one day, the mean wait time is 46.7 minutes with a standard deviation
Rainbow [258]

Answer: C. (29,\ 37.8)

Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}

Given : Level of significance : 1-\alpha:0.99

Then , significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=z_{0.005}=2.576

n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9

46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)

Hence,  a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides (29,\ 37.8)

5 0
4 years ago
How to answer <br> 100x^2+60x+9
iVinArrow [24]

Answer:

Step-by-step explanation:

Rewrite

100

x

2

100

x

2

as

(

10

x

)

2

(

10

x

)

2

.

(

10

x

)

2

+

60

x

+

9

(

10

x

)

2

+

60

x

+

9

Rewrite

9

9

as

3

2

3

2

.

(

10

x

)

2

+

60

x

+

3

2

(

10

x

)

2

+

60

x

+

3

2

Check the middle term by multiplying

2

a

b

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

(

10

x

)

⋅

3

2

a

b

=

2

⋅

(

10

x

)

⋅

3

Simplify.

2

a

b

=

60

x

2

a

b

=

60

x

Factor using the perfect square trinomial rule

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where

a

=

10

x

a

=

10

x

and

b

=

3

b

=

3

.

(

10

x

+

3

)

2

3 0
3 years ago
I need help ill give brainiest
Gnoma [55]

Answer:

9 ft

Step-by-step explanation:

its volume is equal to the area by height;

(2.5 x 3)h = 67.5

h = 9ft

5 0
3 years ago
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