They're all similar. Problem one you need to think how can I eliminate one of the variables to solve for the other one. Think muliplication in your head when doing this but as same time look for a way to subtract the variable you are eliminatiing should equal 0 then you solve the varialbe by itself. After you find one variables solution you need to substitute that solution into the variables place from one of the two original equations. I would think multiplying the -2y by 3 and 3y by 2. Notice one has a negative and other is positive so when I add the two equations I'll get 0y. However do not forget to multiply both equations by the multiplied number you used to each term in the equation. you should get 35x = 35 then x=1. Now you need to find y by substituting the 1 for either x-value in the two equations such as 4(1) + 3y = -5 now just solve for y and you get y = -3. your answer should be (1, -3). Notice you can always check and verify your right by substituting your values found into both solutions to get 15 = 15 and -5 = -5.
Answer:
circumference = 132/3= 44m
2π r = 44
2r = diameter = 44/π = 14 m
Answer:
The correct option is 3.
Step-by-step explanation:
If a line passes through to points
and
, then the slope of line is

Given points are (4,-7) and (6,3).
The slope between given points is


On further simplification we get


Therefore the correct option is 3.
We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function:
where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.
We know that an exponential decay function is in form
, where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = time.
Upon comparing our given function
with standard decay function
, we can see that
.
Let us solve for r.



Let us convert 0.24 into percentage.

Therefore, the decay rate is 24%.
Doubling in size,
if the whole dish is filled in an hour (all of it)
how long does it take to fill 1/2 dish?
notice that
1/2 doubled=1/2 times 2=2/2=1 whole dish
therefor it only doubled one more time from the 1/2 point
1hour=all
1hour-6mins=1/2 dish
1hour-6mins=60-6=54 minutes
answer is 54 minutes