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Phantasy [73]
3 years ago
12

Find the absolute maximum value for the function f(x) = x^2 − 4, on the interval [–3, 0) U (0, 2].

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

5

Step-by-step explanation:

The function y=x^2 -4 is

  • decreasing for all x\in [-3,0);
  • is increasing for all x\in (0,2]

(see attached diagram for details).

The maximum value of the function is at endpoints -3 or 2. find y(-3) and y(2):

y(-3)=(-3)^2-4=9-4=5\\ \\y(2)=4^2-4=0

So, the maximum value is 5.

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Matt had 5 library books. He checked out 1 additional book every week without retuening any books. Whats the matching equation
photoshop1234 [79]

Answer:

The equation would be y = x + 5, in which x is the number of weeks and y is the number of books he has.

Step-by-step explanation:

We know this because even at 0 weeks, he still has 5 books. Therefore we put this as the constant at the end. Then we can add the number of weeks since the rate is one book per week.

5 0
3 years ago
A rectangular plot measures 20 ft. By 30ft. A 3ft wide side walk surrounds it. Find the area of the side walk
r-ruslan [8.4K]

Answer:

336 feet²

Step-by-step explanation:

If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².

If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².

To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².

Hope this helped!

3 0
3 years ago
Solve r=4/3(p-q) for p
lesya [120]

Answer:

q+3/4r=p

Step-by-step explanation:

r=4/3(p-q)

Distribute the 4/3

r=4/3p-4/3q

Add 4/3q to each side

4/3q+r=4/3p

Multiply ALL variables by 3/4 (undoes the 4/3)

q+3/4r=p

<h2>Please mark me as brainliest</h2>

8 0
2 years ago
Which set of measurements determines a unique triangle
julsineya [31]
I think the awnser that will the most corrupt is D
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3 years ago
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Help with probability please!!
lilavasa [31]
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For number 2, the answer is A) If you flip a coin 800 times, heads will come up about 400 times. This is because the law of large numbers says that as the number gets larger the ratio will get closer to 1:1. This means that since the coin only has 2 sides, it is about 50/50, meaning that of 800, 400 would be heads and 400 would be tails.
Hope this helps! :D
3 0
3 years ago
Read 2 more answers
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