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Dmitriy789 [7]
3 years ago
14

Henry is making bread. Henry calculates the rate at which the dough rises. He finds that the volume of the dough in cubic inches

, V, can be modeled by the equation V=0.3t+6, where t represents the number of minutes since the dough was made.
What are the independent and dependent variables in this situation?

Drag and drop the answer into the box to match the variable type.

Volume of the dough
Minutes since the dough was made
Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Answer: the volume of the dough is dependant variable and minutes since the dough was made is independant

Step-by-step explanation:

Just took the quiz and got it correct, hope this helps! :)

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For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.
gayaneshka [121]

Hello!

To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.

Firstly, we need to simplify f(x).

f(x) = -3(x - 10)(x - 4)

f(x) = -3(x² - 14x + 40)

f(x) = -3x² + 42x + -120

Since the equation f(x) is now simplified to standard form, we can find the vertex.

a = -3, b = 42, and c = -120

x = -(42)/2(-3) = -42/-6 = 7

Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or

f(x) = -3x² + 42x + -120, to find the y-value of the vertex.

f(x) = -3(7 - 10)(7 - 4)

f(x) = -3(-3)(4)

f(x) = 27

The vertex of f(x) is (7, 27).

Therefore, the maximum x-value for the function f(x) is 7.

4 0
3 years ago
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You sit down in a chair. The legs break and you fall to the floor.
denis-greek [22]

Answer:

unbalanced force not balanced

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The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be?
kolezko [41]
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8 0
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Step-by-step explanation:

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Determine the graph of the polar equation r =6/2-2cos theta.
anzhelika [568]

Answer:

Choice D is correct

Step-by-step explanation:

The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;

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The value of the directrix is determined as;

d = k/e = 3/1 = 3

The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;

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