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2 years ago

I NEED HELP 16 POINTS ON THE RIGHT ANSWER! Graph The following piecewise function:

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

7 0

For the first one its (-4,0) and (3,0)

For the second one its (3,5) , (3,0) and (6,0)

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Cannon balls for an antique cannon are stacked next to it in four layers to form a square pyramid. How many cannon balls are in

labwork [276]

The amount of balls in a given layer can be found by squaring the layer it is in

4 layers
top layer (1st) is 1
2nd is 4
3rd layer is 9
4th is 16

add them up
1+4+9+16=30

30 in that pyramid

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2 years ago

José’s mother is trying to decide whether or not she should buy a 12-ounce package of coffee on sale for $7.50. She knows that s

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She should chose the $9 because it is cheaper ;)

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2 years ago

Four whole numbers are each rounded to the nearest 10

alina1380 [7]

Answer:

Step-by-step explanation:

90÷4=22.5

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2 years ago

If A=B prove AUB=AnB

expeople1 [14]

If two sets are same let a and bthen we can say a= b
according to definition of intersection it is function that contains common enements from both setsas a=b so all elemnts are commonso a= a n bor b = a n b
in union the function has all elements of both sets and in set no element repeats so
a u b = aor a u b = b
as a u b = a or b and a n b = a or b so we can conclude here that
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3 years ago

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

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

c) By linearity,

$\displaystyle \int_4^5 (f(x) - g(x)) \, dx = \int_4^5 f(x) \, dx - \int_4^5 g(x) \, dx = 10 - 5 = \boxed{5}$

d) By linearity,

$\displaystyle \int_4^5 (4f(x) + 5g(x)) \, dx = 4 \int_4^5 f(x) \, dx + 5 \int_4^5 g(x) \, dx = 4\times10 + 5\times5 = \boxed{65}$

7 0

1 year ago