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:
The cost per highlighter is $0.60
Step-by-step explanation:
I know this because to find the cost of each highlighter you would divide $2.40 by 4 so the answer would be $0.60.
Please give brainliest I'm trying to level up
Answer:
t α 1 /r ; t = k/r
Step-by-step explanation:
Given that :
Time taken, t varies inverse as rate, r
MATHEMATICALLY,
t α 1 /r
Hence,
t = k/r ;
Where, k is the proportionality constant
Hence, the situation could be expressed as :
t = k/r OR
t α 1 /r
Answer:
1) 2,6,18,54,162,468 (multiply by 3 each time)
2) 2, -4, 8, -16, 32, -64 (i'm not sure what this is but i'm pretty confident i'm right lol)
3) 1,3,5,7,9,11 (add 2 each time)
4) 1, 2/3 , 4/6 , 8/9 , _ _ (i'm sorry i tried my hardest but i don't know this one)
Step-by-step explanation:
hope this helped! so sorry about 4...
Answer:
x = -14
Step-by-step explanation:
Let's solve your equation step-by-step.
4x + 188 = 6x +216
Subtract 6x from both sides:
4x + 188 - 6x = 6x + 216 - 6x
-2x + 188 = 216
Subtract 188 from both sides:
-2x + 188 - 188 = 216 - 188
-2x = 28
Divide both sides by two:
