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Anit [1.1K]
3 years ago
9

What is the ratio wheels to seats in a group of tricycles

Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0
If each tricycle has 3 wheels and 1 seat, the ratio of seats:wheels is 1:3.
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Triangles are similar ,

Thus :

\frac{9}{3}  =  \frac{6}{x}  \\

3 =  \frac{6}{x}  \\

\frac{6}{x}  = 3 \\

Inverse both sides

\frac{x}{6}  =  \frac{1}{3}  \\

Multiply sides by 6

6 \times  \frac{x}{6}  = 6 \times  \frac{1}{3}  \\

x = 2 \times 3 \times  \frac{1}{3}  \\

x = 2

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allochka39001 [22]
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3 years ago
Luis is proving that the sum of the
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Step-by-step explanation:

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verify that the fucntion satisfies the three hypotheses of rolles theorem on the given interval . then find all numbers c that s
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The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:

<span><span>x1 </span>= 0.42801</span>

<span><span>x2 </span>= −1.51414</span>

<span><span>x3 </span>= 3.08613</span>


x1 and x2 are in the desired interval [-2, 2]

f'(x) = 3x^2 - 4x - 4

so we have:

3x^2 - 4x - 4 = 0

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x_1 = -4/6 = -0.66

x_ 2 = 2

According to Rolle's theorem, we have one point in between:

x1 = 0.42801 and x2 = −1.51414

where f'(x) = 0, and that is <span>x_1 = -0.66</span>

so we see that Rolle's theorem holds in our function.

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