Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?
2 answers:
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The minimum of a quadratic function, with a positive coefficient a, is its vertex.
Let's find the x₀ coordinate.
Now we need to find y₀ coordinate. That will be the minimum of function.
So, the minimum cost to produce the product is $13
Decompose 5x^2 − 70x + 258 into multipliers
Answer: 5(x − 7)^2 + 13; The minimum cost to produce the product is $13.
Answer:
Option B.
Step-by-step explanation:
Option A.
f(x) =
Derivative of the given function,
f'(x) =
=
=
Since derivative of the function is negative, the given function is decreasing.
Option B. f(x) =
f'(x) =
=
=
Since derivative is positive, given function is increasing.
Option C. f(x) =
f'(x) =
=
=
Since derivative is negative, given function is decreasing.
Option D. f(x) =
f'(x) =
=
Since derivative is negative, given function is decreasing.
Option (B) is the answer.
Answer: choice B) yes; only one range value exists for each domain value
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Explanation:
The inputs are x = -3, x = -1, x = 1, x = 5. They are the first coordinate listed of each point. We don't have any x values repeating so this means we have a function. Each input leads to exactly one output which is what choice B is stating. The domain is the set of allowed inputs, or x values. The range is the set of possible y outputs.
If we had something like (1,2) and (1,5) then the input x = 1 leads to more than one output (y = 2 and y = 5). This example means we don't have a function
If you graph the points (-3, -2), (-1,0), (1,0) and (5,-2) as shown in the attached image, then you'll notice that it is impossible to pass a single line through more than one point. Therefore this graph passes the vertical line test visually proving we have a function.
Going back to the example with (1,2) and (1,5), plotting these two points leads to the vertical line test failing implying we don't have a function.
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---------------------------------
Explanation:
The inputs are x = -3, x = -1, x = 1, x = 5. They are the first coordinate listed of each point. We don't have any x values repeating so this means we have a function. Each input leads to exactly one output which is what choice B is stating. The domain is the set of allowed inputs, or x values. The range is the set of possible y outputs.
If we had something like (1,2) and (1,5) then the input x = 1 leads to more than one output (y = 2 and y = 5). This example means we don't have a function
If you graph the points (-3, -2), (-1,0), (1,0) and (5,-2) as shown in the attached image, then you'll notice that it is impossible to pass a single line through more than one point. Therefore this graph passes the vertical line test visually proving we have a function.
Going back to the example with (1,2) and (1,5), plotting these two points leads to the vertical line test failing implying we don't have a function.