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!!!
Without the tip it was $60. If you are being asked to add the tip it will be $69
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
Answer:
The answer to your question is: (x + 2)(3x - 1) = 0
x1 = -2
x2 = 1/3
Step-by-step explanation:
3x² + 5x − 2 = 0
Multiply 3 x -2 = -6
Find two numbers that added = +5 and multiply -6
These numbers are +6 and -1
Then:
3x² + 6x -1x − 2 = 0
Factorize 3x (x + 2) - 1(x + 2) = 0
Factorize again (x + 2)(3x - 1) = 0
Finally
x + 2 = 0 3x - 1 = 0
x = -2 x = 1/3
Answer:
Step-by-step explanation:
Let 
and 
. Now we evaluate the given function at 
:
(1)
Which means that 
is less than the y-component of A. Therefore, the right answer is .
