Step-by-step explanation:
k² + 5k + 13 = 0
Using the quadratic formula which is
From the question
a = 1 , b = 5 , c = 13
So we have
<u>Separate the solutions</u>
The equation has complex roots
<u>Separate the real and imaginary parts</u>
We have the final answer as
Hope this helps you
Answer:
Variable 
represents the slope of the equation.
Step-by-step explanation:
Given that the administrative fees that company charge is $3.50.
Also, the Zhao has a bill of $63.25.
The equation used by Zhao is
We can compare the equation of a line in the slope-intercept form.
We can see the y-intercept is $3.50 that is a fixed cost. And the company charged $63.25 that is the dependent variable.
Also, variable that is the rate per kilowatt-hour (kWh) represents the slope of the equation.
So you want to solve for x?
It would be nice if this would easily factor:
(-4x + 5)(2x +1) = 0 This will not work!
So you need to use the quadratic formula:
a = -8, b = 4, c = 5
x = (-4 +/-
)/2(-8)
= (-4 +/-
)/-16
= (-4 +
)/-16
= 1/4 -
/4
You can make an equation with this information using a variable for the number of days and solve for that variable. Here we can use d to represent days.
Ryan can build 4 desks in a day, so you could express his production as 4d.
Larry can build 4 desks in 2 days, so you could say he makes 2 desks in 1 day, expressed as 2d.
If Larry starts work one day before Ryan, he's made an extra 2 desks. To get 32 desks, you need to add together those 2 desks Larry made, however many desks Larry can make, and however many desks Ryan can make:
2 + 4d + 2d = 32.
Then just simplify and solve:
6d = 30
d = 5.
It'll take 5 days for them to make 32 desks. Hope this helps! Please rate this answer as brainliest if you liked it!! thank you!!!
