Answer:
4x(3y+1)
Step-by-step explanation:
Step-by-step explanation:
y = 16x²
you put the x values one after the other in place of x and do the calculations.
x = -4
y = 16×(-4)² = 16×16 = 256
x = -3
y = 16×(-3)² = 16×9 = 144
x = -2.5
y = 16×(-2.5)² = 16×6.25 = 100
x = -2
y = 16×(-2)² = 16×4 = 64
x = -1.5
y = 16×(-1.5)² = 16×2.25 = 36
x = -1
y = 16×(-1)² = 16×1 = 16
x = -0.5
y = 16×(-0.5)² = 16×0.25 = 4
x = 0
y = 16×0² = 16×0 = 0
x = 0.5
y = 16×0.5² = 16×0.25 = 4
x = 1
y = 16×1² = 16×1 = 16
and so on.
36, 64, 100, 144, 256
as you can see, the y values are the same for the positive and the negative values.
because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.
and that creates the symmetry around the y-axis or x = 0. everything left of the y-axis is mirrored on the right side of the y-axis (and vice versa).
Answer:
A.. Number of elements in the sample space is 10.
B.. Given that event B is card drawn is blue.
Step-by-step explanation:
Special deck has3 blue and 7 orange cards. The blue cards are numbered 1, 2 and 3. The orange cards are numbered 1, 2, 3, 4, 5, 6 and 7.
We draw one card randomly from the deck, the sample space is
S={b1, b2, b3, o1, o2, o3, o4, o4, o6, o7}
Where,
'b' represents blue card
And 'o' represents orange cards.
Number of elements in the sample space is 10.
Given that event B is card drawn is blue.
B={b1, b2, b3}.
Given:
The two numbers are
To find:
The highest common factor (HCF) of A and B
Solution:
We have,
...(i)
All the factors of A are prime but the factors of B are not prime. So, it can be written as
...(ii)
From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,
Therefore, the highest common factor (HCF) of A and B is 3.
