Answer:
2/3
Step-by-step explanation:
You have 6 possible outcomes. Getting 1 outcome is 1/6. You have 2 possible outcomes. Getting 1 outcome is 1/2.
Add 1/2 and 1/6 to get 2/3
Answer:
x = 5
Step-by-step explanation:
The formula for the gradient is given by:
m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.
Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:
2.5 = (13 - 8)/(x - 3)
2.5(x - 3) = 5 (Multiply both sides by (x - 3))
x - 3 = 2 (Divide both sides by 2.5)
x = 5 (Add 3 to both sides)
Thus, the value of x is 5.
Answer:
0.5* sin(x)
Step-by-step explanation:
As well known sin (2A)= 2sin(A)*cos(A)
As in our case A=x/2 => cos(x/2*sin(x/2)=1/2*sin(x)=0.5*sin(x)
Answer:
see below
Step-by-step explanation:
h(x) = 2x-10
Let x=3
h(3) = 2*3 -10
= 6-10
=4
Let x=-3
h(-3) = 2*-3 -10
= -6-10
=-16
Answer:
The slope is: 3
The y-intercept is:
or 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.
To write the given equation in this form, we need to solve for "y":

Therefore, you can identify that the slope of this line is:
And the y-intercept is: