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kipiarov [429]
3 years ago
5

The sets A and B are shown below

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

Answer:

The union of the sets is {-4,-2,0,2,5,10,15}.

The intersection of the sets is {0,10}.

Step-by-step explanation:

A \cup B means the list elements that you see in either set:

{-4,-2,0,2,5,10,15}.

Notice I didn't list any element twice for occurring in both sets.

A \cap B means the elements that occur in both set or the elements you see in common between the two if you prefer this wording of the definition:

{0,10}.

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A builder buys bricks at the rate of $4.50 per brick for the first 10, $3.50 per brick for the next 10, and $2.50 for any additi
iogann1982 [59]
If the first 10 bricks come out at $ 4.5, I would be spending $ 45. The other 10 bricks come out at $ 3.5 so he would be spending $ 35. Therefore, he has $ 20 available to buy bricks at $ 2.5, which would be buying 8 additional bricks. Thus, in total, with $ 100, 28 bricks were purchased.

8 0
3 years ago
Lydia is having a party on Saturday. She decides to write a riddle on her invitations to describe her house number on Cypress St
ankoles [38]

Answer:

Lydia's address is Cypress Street is: 51823

Step-by-step explanation:

Represent the digit as ABCDE such that:

A = Ones

B = Tens

C = Hundred

D = Thousand

E = Ten Thousand

Analyzing the statements one after the other:

The tens digit is 6 less than 7.

B = 7 - 6

B = 1

The thousands digit is twice the digit in the tens place.

D = 2B

D = 2 * 1

D = 2

The hundreds digit is the greatest even number that is less than 10.

C = 8

The ones digit is the product of 5 and 1.

A = 5 * 1

A = 5

The ten thousands digit is the difference between the hundreds digit and the ones digit.

E = C - A

E = 8 - 5

E = 3

Lydia's address is Cypress Street is: 51823

4 0
3 years ago
For $x$, $y$, and $z$ positive real numbers, what is the maximum possible value for\[\sqrt{\frac{3x 4y}{6x 5y 4z}} \sqrt{\frac{y
joja [24]

Answer:

Infinity

Step-by-step explanation:

Since x,y,z are positive rel numbers, we have that

\dfrac{3x4y}{6x5y4z}=\dfrac{1}{10z}\\\\\\\dfrac{y2z}{6x5y4z}=\dfrac{1}{60x}\\\\\\\dfrac{2z3x}{6x5y4z}=\dfrac{1}{20y}

Hence,

\sqrt{\dfrac{3x4y}{6x5y4z}}\sqrt{\dfrac{y2z}{6x5y4z}}\sqrt{\dfrac{2z3x}{6x5y4z}}\\\\\\=\sqrt{\dfrac{1}{10z}\dfrac{1}{60x}\dfrac{1}{20y}}=\sqrt{\dfrac{1}{12000xyz}}

Now let

f(x,y,z)=\sqrt{\dfrac{1}{12000 xyz}}

if we take x=y=1, we have

f(1,1,z)=\sqrt{\dfrac{1}{12000z}}

and so f(1,1,z) tends to infinity as z goes to 0.

7 0
4 years ago
A rectangular prism has a volume of 24 inches for a school project sharon applies a scale factor of three to the prism find the
victus00 [196]

Answer:

27 : 1

Step-by-step explanation:

The prisms will be similar meaning the lengths of the sides of one will be 3 times larger. But when the volume is found it will be 3*3*3 = 27 times bigger. Take the example 2 * 4 * 3 = 24.

After a scale factor it will be 6 * 12 * 9 = 648

And 24*27 is 648.

The volume ratio 648 : 24 will simplify as 27:1.

5 0
4 years ago
A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x m
GenaCL600 [577]

Answer:

The third option x2 + 2x- 4

Step-by-step explanation:

Total distance = flat road + downhill + uphill

x + (x^2 + 3) + (x -7) = x + x^2 + 3 + x - 7 = x^2 + 2x - 4

Hope that helps!

8 0
3 years ago
Read 2 more answers
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