Answer:
P=(3,3)
Step-by-step explanation:
We need to find a point P in the line such that
where
Observe that the coordinates of P are because P is in the line.
Then,
We reeplace the value of x in the coordinates of P and obtain the point
A single card is drawn at random from a standard 52 card deck. Work out in its simplest form: p(3)= P(not 3)=
1 answer:
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Prime factorization involves rewriting numbers as products
The HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
<h3>How to determine the HCF</h3>The numbers are given as: 1848, 132 and 462
Using prime factorization, the numbers can be rewritten as:
The HCF is the product of the highest factors
So, the HCF is:
In (a), we have:
So, the LCM is:
Hence, the HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
Read more about prime factorization at:
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) =
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.