Answer:
Step-by-step explanation:
We can answer this in two ways: Differentiation and Graphing.
<u>Differentitate:</u>
The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.
f(x) = 3(x-1)^2 + 4
f(x) = 3(x-1)(x-1) + 4
f(x) = 3(x^2 - 2x + 1) + 4
f(x) = 3x^2 - 6x + 7
f'(x) = 6x -6
Set this = 0 and find x:
0 = 6x -6
x = 1
The value of y when x=1 in the original equation is:
f(1) = 3(1-1)^2 + 4
y = 4
The vertex is (1,4)
<u>Graph:</u>
You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.
Answer:
315 people
Step-by-step explanation:
Using the given ratio, we can figure out the number of children on the train by doing cross multiplication.
Let x = # of children on train.
7/2 = 245/x
7x = 490
x = 70 children
The total number of people = 70 + 245 = 315 people total
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Answer:
The Aztecs achieved creating the canoe, the Aztec calendar, and really good medicine
Step-by-step explanation:
Please mark as brainliest if this helped
Answer:
1 2/14 ; 1 1/7
Step-by-step explanation:
To solve, change the division sign to a multiplication sign and flip the second fraction.
(4/7)/(2/4) = (4/7)(4/2)
Multiply across
(4 * 4)/(7 * 2) = (16)/(14)
Simplify. Change to mixed fraction (& further simplify if needed).
16/14 = 1 2/14
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The answer is b I got it right on my test
