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Kay [80]
3 years ago
5

In the graphing tool, move the sliders for y=k(square root of x) and y= (square root of kx). Find a value of k where the graphs

coincide. At what value of k does this occur? What happens to each of the equations when k is negative?
Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0

1+1+1+1+1++1+1++1+1+1+1+1+1+1

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Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

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3 years ago
Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that r
slega [8]

9514 1404 393

Answer:

  y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

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When y = x^2 is reflected over the x-axis, it becomes ...

  y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

  y = -(x +1)^2

When y = -(x+1)^2 is translated 3 units up, it becomes ...

  y = -(x +1)^2 +3

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hichkok12 [17]

Answer:

B is the answer sorry if it was wrong :)

Step-by-step explanation:

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