3 years ago

Factor x3 4x2 3x + 18 = 0, given that 3 is a zero.

Mathematics

1 answer:

attashe74 [19]3 years ago

4 0

Please provide a correct formula of your polynomial.
Where are the signs of (4x^2) and (3x)???

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Two lines intersect in more than one point.

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What is the percent of decrease from 100 to 49?<br><br> Write your answer using a percent sign (%).

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Step-by-step explanation:

Decrease = 100 - 49 = 51

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3 years ago

A cyclist travels 20 miles in the same amount of time it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster

Anna11 [10]

Answer:

The speed of the cyclist is 10 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by cyclist = $D_1$ = 20 miles

The distance cover by biker = $D_2$ = 6 miles

The speed of biker = $S_2$ = s mph

The speed of cyclist = $S_1$ = 7 + s mph

The time taken by both cyclist and biker = t hour

Now. Distance = Speed × Time

So, $D_1$ = $S_1$ × t

Or, 20 = s × t

Or, t = $\frac{20}{7+s}$ .....1

And ,

$D_2$ = $S_2$ × t

or, 6 = s t

Or, t = $\frac{6}{s}$ ....2

From Eq 1 and 2

I.e $\frac{20}{7+s}$ = $\frac{6}{s}$

Or, 20 s = 6 ( 7 + s )

Or, 20 s - 6 s = 42

Or, 14 s = 42

∴ s = $\frac{42}{14}$

I,e s = 3 miles per hour

So, The speed of biker = $S_2$ = s = 3 miles per hour

And The speed of cyclist = $S_1$ = 7 + s = 7 + 3= 10 miles per hour

Hence The speed of the cyclist is 10 miles per hour . Answer

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