Answer:
43
Step-by-step explanation:
Let's plug in 105 for v. We get 105 = 30![\sqrt[3]{t}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bt%7D)
.
3.5 =
t = 43 seconds
Don’t you just love inequalities? Of course I can only hear you saying “not really…inequalities stink!” Well I know you may not like inequalities but you need to know how to work with them. All right let me stress some points:
* the solution to an inequality is more than a single number; inequalities have solution sets (many/infinite number of solutions). As an example lets consider the inequality x > 5 what can the value of x be? i.e. what numbers are greater than 5? clearly an infinite amount of numbers are greater than 5 so we need to express the solutions to inequalities in a different way other than writing out all the numbers greater than 5 – that would take a lot of paper and with global warming….you get the idea. So to deal with this little issue we graph the solution of an inequality on a number line.
other important points:
* we simplify inequalities using the same steps as solving equations
* when dividing/multiplying both sides of an inequality by a negative number you need to reverse the inequality symbol; example > would turn into < .
* when graphing your solution <, > symbols use open circles; <=, >= symbols fill in the circle.
* make sure you can solve linear equations before taking on inequalities- good luck and may the force be with you!!
Answer:
x = 1
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
here k = 8, thus
y = 8x ← equation of variation
When y = 8, then
8x = 8 ( divide both sides by 8 )
x = 1
Answer:
x = 2 ± 2 sqrt(5)i
Step-by-step explanation:
(x – 2)^2 + 20 = 0
Subtract 20 from each side
(x – 2)^2 + 20 -20=0 -20
(x – 2)^2 =- 20
Take the square root of each side
sqrt((x – 2)^2) =±sqrt(- 20)
x-2 = ±sqrt(- 20)
We know sqrt(ab) = sqrt(a) sqrt(b)
x-2 = ±sqrt(- 1) sqrt(20)
We know the sqrt (-1) = i
x-2 = ±i sqrt(4*5)
x-2 = ±i sqrt(4) sqrt(5)
Add 2 to each side
x-2+2 = 2 ±i sqrt(4) sqrt(5)
x = 2 ±i 2 sqrt(5)
x = 2 ± 2 sqrt(5)i
