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Tomtit [17]
3 years ago
14

Factor 2x2 + 7x + 3. (2x + 2)(x + 1) (2x + 3)(x + 1) (2x + 1)(x + 3)

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0
<h3>Answer:</h3>

(2x + 1)(x + 3)

<h3>Step-by-step explanation:</h3>

It is probably easier to try the answer choices than to try to factor the expression yourself.

(2x + 2)(x + 1) = 2x² +4x +2

(2x + 3)(x + 1) = 2x² +5x +3

(2x + 1)(x + 3) = 2x² +7x +3 . . . . . correct choice

_____

<em>Constructed solution</em>

If you want to factor this yourself, you can look for factors of "ac" that add to give "b". That is, you want factors of 2·3 = 6 that add up to give 7. You don't have to look very far.

... 6 = 1·6 = 2·3 . . . . . . the first factor pair adds to give 7

Now, rewrite the x term using the sum of these numbers.

... 2x² +(1 +6)x +3

... 2x +x +6x +3 . . . . eliminate parentheses

... (2x +x) +(6x +3) . . . . group pairs of terms

... x(2x +1) +3(2x +1) . . . . factor each pair

... (x +3)(2x +1) . . . . . . matches the last selection

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40x=10x^2+41 <br><br> Identify the number of solutions and their types using the discriminant
nydimaria [60]

Number of solutions: no roots

Type of solution: Not Real

Step-by-step explanation:

We need to identify the number of solutions and their types using the discriminant.

We are given: 40x=10x^2+41\\

Rearranging:

40x-10x^2-41=0\\10x^2-40x+41=0

Discriminant can be found by: b^2-4ac

where b=-40, a=10 and c=41

Putting values:

b^2-4ac\\=(-40)^2-4(10)(41)\\=1600-1640\\=-40\\

So, Discriminant is -40

If the discriminant is less than zero i.e -40 then there are no real roots.

So, Number of solutions: no roots

Type of solution: Not Real

Keywords: discriminant

Learn more about discriminant at:

  • brainly.com/question/8196933
  • brainly.com/question/9328925
  • brainly.com/question/9184197

#learnwithBrainly

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Write 543 000 in standard form.
sesenic [268]

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Step-by-step explanation:

:) brainliest pls

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“the product of 6 and<br> 9 decreased by 8"
Komok [63]

Answer:

46

Step-by-step explanation:

“the product of 6 and 9 decreased by 8"

“the product of 6 and 9" = 6 * 9

"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)

“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46

5 0
2 years ago
Solve C = 2Pi r for r .
Cerrena [4.2K]

Answer:

D

Step-by-step explanation:

Given

C = 2πr ( isolate r by dividing both sides by 2π )

\frac{C}{2\pi } = r → D

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100-7 = 93%

divide the price by that

14.50/0.93 = $15.59 will be the new price

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