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3 years ago

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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Korolek [52]

250 - 5(x) = 50

250 (-250) - 5x = 50 (-250)

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Answer:

$546,875

Step-by-step explanation:

if the trailer brand new costs $625,000 and decreases by 12.5% you want to find 10% which is $62,500. then you want to find 5% which would be $31,250. but you want 2.5% so you need to divide $31,250 by 2 which is $15,625. add $62,500 and $15,625 together which is $78,125. then do $625,000-$78,625 which gets you $546,875.

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3 years ago

Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.

nataly862011 [7]

Answer: <u>110 feet per second</u>

Step-by-step explanation:

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Now we can calculate the speed of the trains in feet per second so:

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$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

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Vedmedyk [2.9K]

Answer:

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Step-by-step explanation:

The form of equation of line given in the problem is the point-slope form of a line. That is given by:

$y-y_1=m(x-x_1)$

We need $y_1$ and m (denoted by boxes)

$y_1$ is the y coordinate of the first set of points.

The first coordinate pair is (9,7), so $y_1$ would be 7

$y_1=7$

Now, the slope (m).

It has formula

$m=\frac{y_2-y_1}{x_2-x_1}$

So, x_1 = 9

y_1 = 7

x_2 = 4

y_2 = -8

Substituting, we get the slope to be:

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-8-7}{4-9}\\m=\frac{-15}{-5}\\m=3$

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3 years ago

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horrorfan [7]

Answer:

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