P(B|A) = P(B), based on your description, it does not indicate any relationship between A and B, so P(B) is irrelevant with P(A)
Any slope of a vertical line is infinite. it would be equivalent to x= -1 x=0 and x= 1. it will go on forever
= -3/2 * -5 1/4
convert 5 1/4 to improper fraction
= -3/2 * -21/4
multiply numerators; multiply denominators
= (-3*-21)/(2*4)
multiply in parentheses
= 63/8
convert back to mixed number
= 7 7/8
ANSWER: Since the exact answer is the mixed number 7 7/8, a reasonable estimate is 8.
Hope this helps! :)
Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer
Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
y = 6. y = -6 + 6 —-> y = 0
(0 , 6) And. (-3 , 0)
Answer:
1/5
Step-by-step explanation:
Reciprocal just means flipped you can put any whole number over 1 if it helps to see that
5/1 = 5
Since reciprocal is asking you to flip 5/1 meaning numerator becomes denominator and vice versa you end up with 1/5 being the reciprocal of 5
