Answer
The initial temperature was T = -7 degrees
Step-by-step explanation:
Let the initial temperature be T.
- The tempature was very cold
Temperarure = T
- Then it doubled
Temperature = 2T
- Then it dropped 10 degrees
Temperature = 2T - 10
- And then it increased by 40 degrees.
Temperature = 2T - 10 + 40 = 2T + 30
The tempature is now 16 degrees
Temperature = 16 degrees
2T + 30 = 16
2T = -14
T = -7 degrees
Hope this Helps!!!
Answer:
Yes, it is arithmetic with the common difference 2.
Step-by-step explanation:
10-8=2
8-6=2
6-4=2
etc.
Answer:
<u><em>For x - y = 2</em></u>
You need to find x or y in one of the equations and then substitute that into the other.
So we have;
x-y=2
4x-3y=11
We will take the first equation and find x;
x-y=2
add y to both sides;
x-y+y=2+y
x=2+y
Now we take that answer and substitute it forx in the other equation;
4(2+y)-3y=11
8+4y-3y=11
8+y=11
y=3
Now we have what y equals, so we use it in the first equation to find x;
x-3=2
x=5
So we have;
x=5; y=3
Hope you understand!
=)
<u><em>And for 4x – 3y = 11</em></u>
Multiply the first equation by 2 and the second by 3 so that there are the same number of y's in each:
8x - 6y = 22 ...(3)
30x + 6y = -3 ...(4)
Now add (3) and (4) term by term:
38x + 0 = 19
or
38x = 19
or x = 1/2
Put this back into equation (1)
4*(1/2) - 3y = 11
or
2 - 3y = 11
Subtract 2 from both sides:
-3y = 9
Divide both sides by -3
y = -3
Answer:
f(1) = 2
f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
the point of coordinates (1 , 2) is on the graph
Then
f(1) = 2
…………………………
We notice that :
f(2) = 4
f(3) = 8
f(4) = 16
16/8 = 8/4 = 4/2 = 2/1 = 2
________________________
This means the common ratio
of the geo sequence = 2
Hence ,
f(n) = 2 × f(n - 1)
Answer:
4 hours
Step-by-step explanation:
We know the following:
Total amount Randy earned: $667
Pay for first 40 hours: $14.50 per hour
Pay after 40 hours: $21.75 per hour
We need to find the total extra hours: 
If the total number of hours worked are, 
, then: 
Total pay received for the first 40 hours: 
If out of $667, Randy earns $580 from the first 40 hours, the left over are earned by extra hours.
$667 - $580 = $87 ------- (a)
Total pay received for working after 40 hours: 
We know from eq (a) that total pay is 87, hence we can find the number of hours using this.
Randy worked 4 extra hours.
