Twice. Dividing by ten will move the decimal point one place to the left. Rather than dividing by ten twice, you can divide by 100 once.
Answer:
6
Step-by-step explanation:
(g × f)(x) = g(x) × f(x) = x²(- x + 5)
To evaluate (g × f)(- 1) substitute x = - 1 into the product
x²(- x + 5)
= (- 1)²(- (- 1) + 5)
= 1(1 + 5)
= 1 × 6 = 6
Answer:
A] The slope of f(x) is greater than the slope of g(x).
Step-by-step explanation:
First, you need to calculate the slope of f(x) and g(x) using the slope formula
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are points of the functions.
To calculate the slope of f(x) you can choose two points from the graph, in this case (0, -1) and (3, 1). Remember you can choose the points you want as long they are on the graph.
m = 1 - (-1) / 3 - 0
m = 1 + 1 / 3
m = 2 / 3
m = 0.66...
To calculate the slope of g(x) you can choose two points from the table, in this case (0, 2) and (5, 4).
m = 4 - 2 / 5 - 0
m = 2 / 5
m = 0.4
So the slope of f(x) is greater than the slope of g(x).
It's difficult to draw a tree diagram with this software.
Try to do it yourself & you will find the followings:
If A is selected (P(A) =1/2) we can get ether red (p(A & red)=4/7
so P(A∩red)= 1/2 x 4/7 = 4/14
Also we can get P(blue) = 3/7 & P(A∩blue) = 1/2 x 3/7 = 3/14
Same reasoning for B & you will get P(B∩read) 1/2 x 3/4 = 3/8
Also we can get P(B∩blue) = 1/2 x 1/4 = 1/8
Probability of blues is either 3/14 or 1/8
P(blue) = 3/8 +1/8 =19/56 = 0.339
