Can someone please help me?

Mathematics

1 answer:

denis-greek [22]2 years ago

3 0

Answer:

Step-by-step explanation:

Use a graphing calculator like desmos and youll find the answer

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Craig has a job waiting tables where he earns $3.15 per hour plus tips. Craig earned $74.67 in tips during his shift yesterday.

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Evaluate |-6| + 2|-4| - 3|6| <br> A. -20 <br> B. -4 <br> C. 14

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Hello!

First we will solve the absolute value, giving us 6+8-18. Then we combine giving us 14-18. This gives us -4.

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Evaluate the definite integrals using properties of the definite integral and the fact that

anygoal [31]

I gather that the given functions satisfy the following definite integral relations:

$\displaystyle \int_{-1}^4 f(x) = -6$

$\displaystyle \int_4^5 f(x) = 10$

$\displaystyle \int_4^5 g(x) =5$

a) By linearity of the integral operator, we have

$\displaystyle \int_{-1}^4 10 f(x) \, dx = 10 \int_{-1}^4 f(x) \, dx = 10 \times (-6) = \boxed{-60}$

b) The integral over an interval is equal to the sum of integrals over a partition of that interval. In this case, the interval [-1, 5] can be written as the interval union [-1, 4] U [4, 5], so that

$\displaystyle \int_{-1}^5 f(x) \, dx = \int_{-1}^4 f(x) \, dx + \int_4^5 f(x) \, dx = -6 + 10 = \boxed{4}$