Which rectangular equation represents the parametric equations x = 3t Superscript one-half and y = 6t?

y = 2x2, for x ≥ 0
y = Two-thirdsx2, for x ≥ 0
y = 54x2, for x ≥ 0
y = StartFraction 1 Over 54 EndFractionx2, for x ≥ 0

Answer:

x = 2

Step-by-step explanation:

H(x) = 64x - 16x²

Find the value of x when the ball reaches its maximum height.

Since the largest degree in this equation is two, this function represents a parabola. We can find the maximum height of the ball at the vertex of the quadratic.

In H(x) = 64x - 16x², rearrange the powers from greatest to least:

Vertex: [-b/2a, f(-b/2a)]

Substitute a and b into the x-value of the vertex: -b/2a.

The vertex of the parabola is at x = 2, with a maximum height of H(2).

Equation:  (1 2/3)(2 1/3) = x

Answer:  3 8/9 cups

Step-by-step explanation:

x represents the amount of flour she will need in cups.

To solve, convert the mixed numbers to improper fractions and multiply...

1 2/3 becomes 5/3

2 1/3 becomes 7/3

Now we have

(5/3)(7/3) = x

  35/9 = x

35/9 is 3 8/9 as a mixed number

Answer:

[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

Step-by-step explanation:

In order to solve this we can start by drawing a sketch of the problem (see attached picture)

So fist, let's take the general form of a sinusoidal movement:

[tex]y=Asin(\omega x+\phi)+b[/tex]

where:

A= amplitude

[tex]\omega[/tex]= angular frequency

x= time

[tex]\phi[/tex] = horizontal shift

b= vertical shift.

In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:

A= 13in - 0.5in =12.5 in

The angular frequency is how many radians the wheel will turn in a minute, so we get:

[tex]\omega=\frac{90 rev}{min}*\frac{2\pi rad}{1 rev}[/tex]

[tex]\omega=180\pi rad/min[/tex]

Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by [tex]\frac{\pi}{2} rad[/tex], so in this case:

[tex]\phi=-\frac{\pi}{2}[/tex]

and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:

b=13in

so when putting it all together we get our equation to be:

 [tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

Answer:

The Answer is 12 - 15= 129

Step-by-step explanation:

x2−15=129

Step 1: Add 15 to both sides.

x2−15+15=129+15

x2=144

Step 2: Take square root.

x=±√144

x=12

Answer:

n=6

Step-by-step explanation:

i used math-way :P

Answer:

AD is one-fourth the length of CE

Step-by-step explanation:

Answer:

f(6) = -22, and g(-3) = 49

Step-by-step explanation:

f(x) = -4x + 2

f(6) = -4(6) + 2

f(6) = -24 + 2

f(6) = -22

I assume the 3 in g(x) = -2x3 -5 is cubed

g(-3) = -2(-3)^3 - 5

g(-3) = -2(-27) - 5

g(-3) = 54 - 5

g(-3) = 49

Answer:

11 dollars, is you multiply .55 by 20 its 11

Answer:

c

Step-by-step explanation:

Is is right?

Answer: 187.5 gallons of gas

Step-by-step explanation:

He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 187.5 gallons of gas.

Answer:

i would say R

Step-by-step explanation:

Answer: The answer is R

Step-by-step explanation:

Answer: I could be wrong- but I thinkkkk its 42