Answer:
-5/2
Step-by-step explanation:
with slope always remember rise over run, vertically, the dots are 5 points away from each other so that is your rise. Horizontally they are only 2 away so that's your run. the answer is negative because the slope goes down to the right. If it went up to the right then the slope would be positive.
Answer: it will take a combined rate of 2.67 hours
Step-by-step explanation:
Father can do the job on the farm in 6 hours. This means that the father's unit rate of working will be 1/6
The older son can do it in 8 hours. This means that the older son's rate of working will be 1/8
The younger son can do same job in 12 hours. This means that the younger son's working rate is 1/12
When they work together, they will be working simultaneously. It means that their unit rates are additive. The combined unit rates will be
1/6 + 1/8 + 1/12 = (20 + 15 + 10)/120
45/120
Assuming it takes t hours for them to complete the work while doing it together. Their combined unit rate will be 1/t
45/120 = 1/t
45t = 120
t = 120/45 = 2.67 hours
When you GRAPH an equation or inequality you plot all of the points that satisfy it.
ANSWER
C. If it is not night, then the street lights will not come on.
EXPLANATION
The given statement is
"If it is night, then the street lights will come on"
Given the statement,
"If p, then q",
then the inverse of this statement is
"If it is not night,then the street lights will not come on"
"If not p, then not q"
The correct choice is C.
log was used calculate big numbers before calculators
log is a re-arranged way to show a number with an exponent
example
log₂ 16 = 4 means 2^4 = 16
logx(Z) = y means x^y=Z
log(x-6)/log(2) + log(x)/log(2) = 4
(log(x-6)+ log(x))/log(2) = 4
(log(x-6)+ log(x)) = 4log(2)
(log(x-6)x) = log(16)
x=8