How many times do the graphs of
the equations y = 2x + 4 and
y = -x + 4 intersect?

The graphs intersect one time

Step-by-step explanation:

we have

----> equation A

----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The graphs intersect only at one point

so

The system has only one solution

The intersection point is (0,4)

therefore

The solution is x=0, y=4

b

step-by-step explanation:

u take $75 minus $60.the anwer/original($75)multiply by 100

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560