Multiples of 7 up to 49:
7
14
21
28
35
42
49
Therefore, multiple of 7 occurs seven times.
There are 43 cards altogether.
Therefore, P(multiple of seven)= 7/43
Knowledge point: probability
Substitute the given value of three into the equation so that it becomes
M= 3.5*3+2
M= 12.5
A direct variation equation is one that requires y varies directly as x and looks like this in equation form:
where k is the constant of variation. If we solve this for y, we have y = kx, which happens to be a linear function... a line. k here, then, serves as the slope. So what we are given as points on a direct variation function are actually points on a line. The equation for this requires that we find the slope and then rewrite the formula accordingly. First the slope:
Now we need to write the equation by using one of the points' coordinates. I picked the first point that has an x coordinate of -9 and a y coordinate of -3. Fitting those into the slope-intercept form of a line,
which simplifies to
-3 = -3 + b and b = 0. That means that the equation of direct variation is
or just
Solve by completing the square
use formula (b/2 to the power of 2) in order to create a ner term. Solve for x by using this term to complete the square.
x + -1 + i
-
12√6
Step-by-step explanation:
2√3×6√2(3√8)
12√6(2×6=12 √3×√2=6)