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pychu [463]
3 years ago
9

The point (x, 5/2) lies on the graph of y = x - 1/2. The value of x is

Mathematics
1 answer:
Tom [10]3 years ago
8 0
(x , 5/2)......so y = 5/2.....so do some subbing

y = x - 1/2
5/2 = x - 1/2....add 1/2 to both sides
5/2 + 1/2 = x
6/2 = x....reduce
3 = x

now check it...(3, 5/2)
y = x - 1/2
5/2 = 3 - 1/2
5/2 = 6/2 - 1/2
5/2 = 5/2 (correct)

so x = 3 <==
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Find the least common multiple of 8x³y6z, 6x5z², and<br> 10yzº.
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Answer:

The Least Common Multiple (LCM) of 8x^3y6z,6x5z^2, \text{ and } 10yz^0 \text{ is } 240 x^3yz^2

Step-by-step explanation:

<u>Definition of LCM</u>

The LCM of a, b , c is the smallest multiplier that is divisible by a, b and c

Here the three terms are :

8x^3y6z

6x5z^2

10yz^0=10y        since z^0 = 1

Factoring using prime factorization we get  8x^3y6z = 2.2.2.x^3.y.2.3.z³

= 2^4\cdot \:3\cdot \:x^3\cdot \:y\cdot \:z   (1)

Factoring 6x5z^2  we get

2\cdot \:3\cdot \:5\cdot \:x\cdot \:z^2  (2)

Factoring 10yz^0 we get

2 \;\cdot\; 5y                 (z^0 = 1)   (3)

The LCM is the multiple of each of the highest power in each factor

2^4\;.\;3\;.\;5\;.x^2\;.\;y\;.z^2 = 240 x^3yz^2

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