Marshall is making fresh tomato juice. The amount of juice he can make depends on how many tomatoes he has.

Mathematics

1 answer:

Schach [20]4 years ago

3 0

Answer:

I believe the answer is the second option, t is the independent variable and a is the dependent variable.

Step-by-step explanation:

This is because the amount of juice Marshall can make depends on the number of tomatoes Marshall has. Therefore, a is a dependent variable and option B is the answer.

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A car rental company offers the following two plans for renting a car:

AveGali [126]

Answer:

181.818181...Miles

Step-by-step explanation:

50 = 30 + 11X

X = 181.81818181...

If you multiply 11 by 181.81 repeting you will get 20 and 30 + 20 = 50

So You would have to go 181.81 repeating miles for it to be equal

If you are rounding up it would be 182 miles to justify choosing plan B

3 0

3 years ago

a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

Jet001 [13]

Answer:

The vertex form of the equation is $y = -\frac{1}{3}( x-1)^{2} +1$ .

Step-by-step explanation:

You will use the equation $y=a(x-h)^{2} +k$ to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get $y= a(x - 1)^{2} +1$ .

Then, we substitute the point as our x and y to get $-2 = 9a+1$ (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the $9a$ to get $9a = 3$ . Finally, divide by 9 on both sides to get $a=\frac{1}{3}$ .

Now, substitute your $a$ back into the equation to get y = $-\frac{1}{3}(x-1)^{2}+1$ .

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get $y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}$ .