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podryga [215]
2 years ago
14

What is the soultion to the linear system y=2x and y=x+4

Mathematics
1 answer:
uranmaximum [27]2 years ago
5 0

Answer:

x = 4; y = 8

Step-by-step explanation:

y=2x

y=x+4

2x = x + 4

x = 4

y = 2x = 2(4)

y = 8

Solution: x = 4; y = 8

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7. What is the cardinality of each of the following sets?
zysi [14]

Answer:  

The cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

Step-by-step explanation:  We are given to find the cardinality of each of the following sets :

(a) { }.

(b) { { } }.

(c) {a, {a}, {a, {a}} }.

We know that

CARDINALITY of a set is the number of elements present in the set.

(a) The given set is A = { }.

The set A is an empty set, so it does not contain any element. Hence, the cardinality of the set A is 0.

(b) The given set is B = { { } }.

The set is B is singleton set, contains only one element (that is empty set). So, the cardinality of the set B is 1.

(c) The given set is C = {a, {a}, {a, {a}} }.

The set C has three elements, a, the set {a} and the set {a, {a}}. So,  the the cardinality of set C is 3.

Thus,

the cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

8 0
2 years ago
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marishachu [46]

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2 years ago
Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.<br> What does X equal?
Neko [114]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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If you drive 264 miles and use 12 gallons of gas, what is your rate of gas consumption?
dangina [55]

Answer:

22.

Step-by-step explanation:

264(Miles) divided by 12(Gallons used up) = 22(Miles per gallon)

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OverLord2011 [107]

Answer:

Centre is (7,11)

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Step-by-step explanation:

The general equation for a circle is written in the form (x-a)^2+(y-b)^2=r^2 , where (a,b) is the centre of the circle, and r is the radius.

For your circle, (x-7)^2+(y-11)=36, we can compare it with the general equation to find the centre and radius.

-a = -7

-b = -11

r^2 = 36

Therefore, a=7, b=11 and r=6.

Centre at (a,b) which is (7,11) .

6 0
3 years ago
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