Use the quadratic formula with a = 2, b = -5, and c = 1
x = -b ± sq rt b2 - 4ac
-------------------- <---------- Please note: sq rt is over entire expression of b^2 - 4ac
2a
x = - (-5) ± sq rt (-5)2 + 4(2)(1)
-------------------------------- <---------Please note: sq rt is over entire expression (-5)2 + 4(2)(1)
2(2)
x = 5 ± √17
---------
4
x = 5 + 1√17 OR x = 5 + -1√17
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4 4 4 4
Answer: x = 5 + 1√17 OR x = 5 + -1√17
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4 4 4 4
Hey there!!
How do we find the equation of a line ?
Ans : We take the slope and the y - intercept and get them together.
How do you find slopes?
Ans - In order to find slop, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
The two points shown in the above question are
( 4 , -8 ) and ( 8 , 5 )
y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4
Now plug in the values:
( 5 + 8 ) / ( 8 - 5 )
13 / 3
Hence, the slope is 13/3
The basic formula : y = mx + b
Where b is the y-intercept and m is the slope.
We have found the slope, hence, the formula would become
... y = 13/3 x + b
Now take a coordinate and substitute it .
I will take ( 8 , 5 )
x = 8 and y = 5
Now plug in the values
... 5 = 13/3 × 5 + b
... 5 = 65/3 + b
Subtract 65/3 on both sides
... 5 - 65/3 = b
... -50/3 = b
Hence, the y-intercept is -50/3
Now plug in all the values to get the total equation...
The final equation : y = 13x/3 - 50/3
... y = 13x - 50 / 3
Hope my answer helps!!
Answer:
Yes
Step-by-step explanation:
Since the exponent is in front of the DECIMAL instead of the five, it is exponential decay because decimals with exponents make the numbers smaller and smaller
False, because it didn't go up .
Answer:
8.8 breaths
Step-by-step explanation:
