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ashrobbb
27.09.2020 •
Mathematics
an equation for the line tangent to the graph of the differentiable function f at x=3 is y=4x+6. which of the following statements must be true?
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Ответ:
If an equation for the line tangent to the graph of the differentiable function f at x=3 is y=4x+6, hence the correct statement out of the given options are statements I and
II.
Given that an equation for the line tangent to the graph of the differentiable function f at x=3 is y=4x+6, in order to know the statement that is true;
We need to find the corresponding y-value for which x = 0We need to find the value of f(x) when x = 3If x = 3;
f(3) = 4(3) + 6
f(3) = 12 + 6
f(3) = 18
Hence the statement I is correct
If x = 0
f(0) = 4(0) + 6
f(0) = 0 + 6
f(0) = 6
Hence statement II is correct
From the calculation above, we can conclude that statements I and II are correct.
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Ответ:
B. I and II only
Step-by-step explanation:
Using the provide information, we are given the equation y = 4x + 6 which is tangent to some function F when x = 3. Given this, we can say that we can determine the value of our function when x = 0 and when x = 3. Let's evaluate our functions at these values of x:
X = 0
y = 4x + 6
y = 4(0) + 6
y = 0 + 6
y = 6
X = 3
y = 4x + 6
y = 4(3) + 6
y = 12 + 6
y = 18
Hence, we can agree with the statements I and II.
Cheers.
Ответ:
Direct variation is is when the x and y a direct relation
without constants added or subtracted
With being times by each other
so the only one that meets the definite is the first one
y = 0.5x means y is equal to half of x. So you know that every y is directly related to half of x