So 7×6=42 and 7×4=28 GCF is 7 so 7x(6x+4)
Answer:
C
Step-by-step explanation:
∠1 = 3x + 18 {Vertically opposite angles}
∠1 + 28° = 90
3x + 18 + 28 = 90
3x + 46 = 90
3x = 90 - 46
3x = 44
x = 44/3

Answer:
The costs of the plan are $0.15 per minute and a monthly fee of $39
Step-by-step explanation:
Let
x ----> the number of minutes used
y ----> is the total cost
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to

we have the ordered pairs
(100,54) and (660, 138)
substitute


step 2
Find the equation of the line in point slope form

we have

substitute

step 3
Convert to slope intercept form
Isolate the variable y

therefore
The costs of the plan are $0.15 per minute and a monthly fee of $39
Answer:
The expected net winnings for the bet are -$1.0526
Step-by-step explanation:
P(x =+$20) = P(Black outcome) = 18/38
P(x =-$20) = P(red outcome) + P(green outcome)
= 18/38 + 2/38 = 20/38
Hence the probability distribution of x = $20 , P(x) = 18/38
x = -$20, P(x) = 20/38
Expected value of the random variable x is given by ;
miu = Summation [xP(x)] = 20(18/38) - 20( 20/38)
= -$1.0526
hence, the expected net winnings for the bet are -$1.0526
This implies that if a player bet on a very large number of games, the player would on the average lose $1.0526 per single bet