5578/68=82.029411764705882352941176470588
that would be rounded to 82.02 which is the answer
Let's to the first example:
f(x) = x^2 + 9x + 20
Ussing the formula of basckara
a = 1
b = 9
c = 20
Delta = b^2 - 4ac
Delta = 9^2 - 4.(1).(20)
Delta = 81 - 80
Delta = 1
x = [ -b +/- √(Delta) ]/2a
Replacing the data:
x = [ -9 +/- √1 ]/2
x' = (-9 -1)/2 <=> - 5
Or
x" = (-9+1)/2 <=> - 4
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Already the second example:
f(x) = x^2 -4x -60
Ussing the formula of basckara again
a = 1
b = -4
c = -60
Delta = b^2 -4ac
Delta = (-4)^2 -4.(1).(-60)
Delta = 16 + 240
Delta = 256
Then, following:
x = [ -b +/- √(Delta)]/2a
Replacing the information
x = [ -(-4) +/- √256 ]/2
x = [ 4 +/- 16]/2
x' = (4-16)/2 <=> -6
Or
x" = (4+16)/2 <=> 10
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Now we are going to the 3 example
x^2 + 24 = 14x
Isolating 14x , but changing the sinal positive to negative
x^2 - 14x + 24 = 0
Now we can to apply the formula of basckara
a = 1
b = -14
c = 24
Delta = b^2 -4ac
Delta = (-14)^2 -4.(1).(24)
Delta = 196 - 96
Delta = 100
Then we stayed with:
x = [ -b +/- √Delta ]/2a
x = [ -(-14) +/- √100 ]/2
We wiil have two possibilities
x' = ( 14 -10)/2 <=> 2
Or
x" = (14 +10)/2 <=> 12
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To the last example will be the same thing.
f(x) = x^2 - x -72
a = 1
b = -1
c = -72
Delta = b^2 -4ac
Delta = (-1)^2 -4(1).(-72)
Delta = 1 + 288
Delta = 289
Then we are going to stay:
x = [ -b +/- √Delta]/2a
x = [ -(-1) +/- √289]/2
x = ( 1 +/- 17)/2
We will have two roots
That's :
x = (1 - 17)/2 <=> -8
Or
x = (1+17)/2 <=> 9
Well, this would be your answers.
Answer:
x = 2
Step-by-step explanation:
Rewrite the equation as 4x - 6 = 2
Move all terms not containing x to the right side of the equation:
Add 6 to both sides of the equation.
4x = 2 + 6
Add 2 and 6.
4x = 8
Divide each term by 4 and simplify.
Divide each term in 4x = 8 by 4.
Reduce the expression by cancelling the common factors.
Divide 8 by 4.
x = 2
Answer:
82.5% and 17.5%
Step-by-step explanation:
The telemarketer made 200 phone calls and only 35 people signed up. Therefore, we need to find the amount of people who didnt.
200 - 35 = 165
165 people did not sign up.
This meants that the frequency of getting a customer is 35/200 and not is 165/200. In percentages,
The relative frequency of not getting a customer is 82.5%
The relative frequency of getting a customer is 17.5%
Answer:
Solution point is (-1,-9)
Step-by-step explanation:
Put the value of y in the first equation into the second equation.
- 2x + 5(3x - 5) = - 42 Remove the brackets on the left
- 2x + 15x - 25 = - 42 Combine like terms on the left
- 17x - 25 = - 42 Add 25 to both sides
- 17x - 25 + 25 = - 42 + 25 Do the addition
- 17x = - 17 Divide by 17
- 17x/17 = -17/17 Do the division
- x = - 1
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Solve for y
- y = 3x - 6
- x = -1
- y = 3(-1) - 6
- y = -3 - 6
- y = - 9
