Answer:
14, 20, 0, 0, 0
Step-by-step explanation:
The notation indicates the absolute value of x, therefore it can be rewritten as:
if x 0
if x < 0
In this problem, we have the expression
Therefore, we can rewrite it as:
if x ≥ 0:
(a)
If x < 0:
(b)
So now we can substitute the given values into the two expressions:
x = 7 (positive value, so we use expression (a):
x = 10 (positive values, so we use expression (a):
x = 0 (zero, so we can use expression (a):
x = -3 (negative value, so we use expression (b):
x = -8 (negative value, so we use expression (b):
Answer: 7/26
Step-by-step explanation:
Number of purple marbles = 6
Number of white marbles = 7
Total number of marbles = 13
The probability of first drawing a white marble will be = 7/13
The probability of drawing a purple marble the second time will be = 6/12 = 1/2
The probability that the first marble is white and the second one is purple will now be:
= 7/13 × 1/2
= 7/26
Note that since there are 13 marbles, when the first purple marble is drawn, there'll be 12 marbles left.
X = smallest angle, y = middle angle, z = largest angle
x + y + z = 180...interior angles of a triangle add up to 180 degrees
y = 1/2z.....z = 2y
y = 3x.......1/3y = x
1/3y + y + 2y = 180....multiply everything by 3
y + 3y + 6y = 540
10y = 540
y = 540/10
y = 54 <== the middle angle
z = 2y
z = 2(54)
z = 108 <=== largest angle
1/3y = x
1/3(54) = x
54/3 = x
18 = x <=== smallest angle
Answer:
(x -4)^2 +1
Step-by-step explanation:
For some f(x), a translation to the right by "h" and up by "k" transforms it to ...
g(x) = f(x -h) +k
You want your G(x) to be a translation 4 units right and 1 unit up from F(x), so you have ...
G(x) = F(x -4) +1
G(x) = (x -4)^2 +1
Answer:
PLEASE GIVE BRAINLIEST AND THANKS
-0.00068587105
Step-by-step explanation: