Answer:
24
Step-by-step explanation:
Check attachment for explanation... hope it helps :)
The probability of randomly picking out a red marble is 50%, or 1/2.
You can figure this out by finding out the percentage of each marble in the bag, and that percentage would be the probability for picking out that colour of marble. For example, the percentage of red marbles in the bag is 50%, the percentage of blue marbles in the bag is 20%, and the percentage of green marbles in the bag is 30%.
By doing this, you figured out not only the percentage of each colour of marble in the bag, but you also figured out the probability of each marble being randomly picked out of the bag.
Answer:
D
Step-by-step explanation:
For simplify the work we can start to factorise all the possibles expressions:
2x + 8.
8 is multiple of 2, so it can became
2(x+4)
x^2 - 16 this is a difference of two squares, so it can be rewritten as:
(x+4)(x-4)
x^2 + 8x + 16
we have to find two numbers whose sum is 8 and whose product is 16
the two number are 4 and 4
it becames:
(x+4)(x+4)
x+ 4 can‘t be simplified
if we look at the expression, we can find that x-4 appears at the numerator so
x^2 - 16 must be at numerator
but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option
in fact
(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)
it became
(x+4)(x-4)/2 * 1/(x+4)(x+4)
(x-4)/2(x+4)
Correct Answer:
Option A
Solution:
f(x) = 7x + 9
g(x) = 7x - 4
We can re-write g(x) as:
g(x) = 7x + 9 - 13
Since 7x+9 is equal to f(x), we can write:
g(x) = f(x) - 13
This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
The equation of a circle is (x - h)^2 + (y - k)^2 = r^2
x and y are left alone in a circle equation, while h and k are the coordinates of the center.
Thus, our equation is (x - 7)^2 + (y + 2)^2 = 61
