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2 years ago

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A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. a) Write an equation to represent the distance the car travels,d

, in miles for m minutes. b) Write an equation to represent the distance the car travels,d, in miles for h hours

2 answers:

Stels [109]2 years ago

8 0

Distance + time = ( equals) speed so... Idek lol

DaniilM [7]2 years ago

7 0

You would put 2&1/3 over 2&1/3 =x or something like that

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makkiz [27]

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$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

A quadratic equation is given to us.
The equation is 2x² + 7x +6=0

And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,

<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>

$\implies 2x^2 + 7x +6=0$

Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .

And 3 + 4 = 7. So we will break the middle term into 3x and 4x .

Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies 2x^2 + 3x+4x +6=0$

Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>

$\implies x(2x + 3) +2(2x +3)=0$

$\implies ( x +2)(2x+3)=0$

Step 4 : <u>Equate </u><u>them </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

<u>Hence </u><u>the</u><u> </u><u>correct</u><u> </u><u>options </u><u>are </u><u>C </u><u>and </u><u>D </u><u>.</u>

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