F(x) = 6x^2 + 3x - 6
The derivative, and thus the slope of the T. L. to the graph, is f '(x) = 12x + 3. Set this result = to -3 and solve for x:
12x + 3 = -3 => 12x = - 6 and x = -1/2
6 + 6 - 24
If x = -1/2, y = f(-1/2) = 6(1/4) - 3(-1/2) - 6 = ----------------- = -6
4
The slope of the T. L. to the graph will be -3 at the point (-1/2, -6).
The number of cups of milk would be 2 2/3 needed in the four milkshakes.
<h3>What is Ratio?</h3>
A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
We have been given that martin is making four milkshakes. The recipe calls for 2/3 cup of milk.
We have to determine the number of cups of milk he needs
Let the number of cups of milk would be x in the four milkshakes.
As per the given situation, we can write the ratio would be as:
1 milkshakes : 2/3 cup of milk = 4 milkshakes : x cup of milk
⇒ 1 / (2/3) = 4/x
Reciprocal the term in the numerator,
⇒ 3/2 = 4/x
Apply the cross-multiplication operation,
⇒ 3x = 8
⇒ x = 8/3
⇒ x = 2 2/3
Thus, the number of cups of milk would be 2 2/3 in the four milkshakes.
Learn more about the Ratio here:
brainly.com/question/1504221
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Samuel exercises for 100 minutes each day. Or in other words, 1 hour and 40 minutes.
Multiply 8 the numerator and denominator to the second one.
12/1
8(12/1)
96/8
Now they have the same denominators.
