A store owner buys a total of 4,000 items for two different products. For shipping costs, it is $0.10 per item of product A and
2 answers:
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Answer:
(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
(b) Every function of the form is an antiderivative of 8x
Step-by-step explanation:
A function <em>F </em>is an antiderivative of the function <em>f</em> if
for all x in the domain of <em>f.</em>
(a) If , then
is an antiderivative of <em>f </em>because
Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.
(b) Because
then is an antiderivative of
. Therefore, every antiderivative of 8x is of the form
for some constant C, and every function of the form
is an antiderivative of 8x.
Answer:
Step-by-step explanation:
Given
Required
Determine the length of AB
Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:
Substitute values for A'B', B'C' and BC
Express the ratio as fractions:
Multiply through by 14