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2 years ago

It Takes Sierra 8 seconds to walk a 50-foot course, what is the rate that she was walking

Mathematics

1 answer:

Alex73 [517]2 years ago

3 0

She is walking 6.25 ft per second

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(x^2 - x^(1/2))/(1-x^(1/2))

Levart [38]

$\frac { \left( { x }^{ 2 }-{ x }^{ \frac { 1 }{ 2 } } \right) }{ \left( 1-{ x }^{ \frac { 1 }{ 2 } } \right) }$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot 1$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot \frac { \left( 1+\sqrt { x } \right) }{ \left( 1+\sqrt { x } \right) }$

$\\ \\ =\frac { { x }^{ 2 }+{ x }^{ 2 }\sqrt { x } -\sqrt { x } -x }{ 1+\sqrt { x } -\sqrt { x } -x }$

$\\ \\ =\frac { -\sqrt { x } \left( 1-{ x }^{ 2 } \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { -\sqrt { x } \left( 1+x \right) \left( 1-x \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { \left( 1-x \right) \left\{ -\sqrt { x } \left( 1+x \right) -x \right\} }{ \left( 1-x \right) }$

$\\ \\ =-\sqrt { x } \left( 1+x \right) -x\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }\left( 1+{ x }^{ \frac { 2 }{ 2 } } \right) -x$

$\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }-{ x }^{ \frac { 3 }{ 2 } }-x\\ \\ =-\sqrt { x } -\sqrt { { x }^{ 3 } } -x$

3 0

3 years ago

Read 2 more answers

C/8 = - 12 please help fast

Brums [2.3K]

Answer:

x = -96

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Rational number between - 4/7 and 8/4

hjlf

Answer:

Hdujshshshddhdh

Step-by-step explanation:

4 0

2 years ago

The length of the major axis of the ellipse below is 17 and the length of the red line segment is 6. How long is the blue line s

KatRina [158]

Answer:

Option B. 11

Step-by-step explanation:

See the attached figure

As the figure about an ellipse

So, The sum of distance between A and the foci will be equal the major axis

AB = 6 and the major axis = 17

∴ AB + AC = major axis

∴ 6 + AC = 17

∴ AC = 17 - 6 = 11

So, the length of the blue line segment = 11

5 0

3 years ago

MR. ARCEO TAKES A TAXI FROM THE AIRPORT TO A HOTEL. THE TAXI CHARGES $2.50 INITIAL CHARGE PLUS $2.65 PER MILE. WHICH EQUATION CA

enyata [817]

2.65x + 2.50 = y

step by step explanation:

2.65 is how much for each mile, and the variable, x, represents the number of miles of the trip. so, we would do 2.65x to find out how much money you have to pay for the amounts of mile.

next, you would have to add the initial fee, which is 2.50. so 2.65x+2.50.

lastly, y represents the total cost of the trip. so, 2.65x + 2.50 = y

7 0

2 years ago