Answer:
Step-by-step explanation:
The given quadratic equation is
2x^2+3x-8 = 0
To find the roots of the equation. We will apply the general formula for quadratic equations
x = -b ± √b^2 - 4ac]/2a
from the equation,
a = 2
b = 3
c = -8
It becomes
x = [- 3 ± √3^2 - 4(2 × -8)]/2×2
x = - 3 ± √9 - 4(- 16)]/2×2
x = [- 3 ± √9 + 64]/2×2
x = [- 3 ± √73]/4
x = [- 3 ± 8.544]/4
x = (-3 + 8.544) /4 or x = (-3 - 8.544) / 4
x = 5.544/4 or - 11.544/4
x = 1.386 or x = - 2.886
The positive solution is 1.39 rounded up to the nearest hundredth
The independent quantity is the average class size and the dependent quantity is the cost ⇒ c
Step-by-step explanation:
Lets revise the meaning of dependent and independent variables
- The dependent variable is the one that depends on the value of some other number
- The dependent variable is the output value and the independent variable is the input value
- Ex: if y = 2x + 3, x is the input and y is the out put, then is independent variable and y is dependent variable
∵ The cost of the textbook increases with the average class size
- The cost of the textbooks depends on the average of the
class size
∴ The input is the average class size
∴ The output is the cost of the textbooks
∵ The input variable is independent variable
∵ The output variable is dependent variable
∴ The average of the class size is independent
∴ The cost of the textbooks is dependent
The independent quantity is the average class size and the dependent quantity is the cost
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Answer:
7 hours 30min
Step-by-step explanation:
Step one :
Given data
We are told that Erica can paint 1 room in 5hours
Her work rate is 1/5 room per hour
And also with the assistance of her friend they can paint 1 room in 3 hours
Hence their combined work rate is 1/3 room per hour
Step two
The combined work expression is
1/A+1/B=1/T
Where A=Erica's work rate
B=Rachael's work rate
T=combined work
1/5+1/B=1/3
1/B=1/3-1/5
1/B=5-3/15
1/B=2/15
B=15/2
B=7.5 hours
It will take Rachel 7 hours 30min to paint the room
Answer:
128/15 min or 8.5 min
Step-by-step explanation:
By using unitary method,
Time required to paint 5/8 of wall = 16 min.
Time required to paint 1/1 of wall = 16×8/5
Hence, Time required to paint 1/3 of wall = 16×8/5×1/3
Answer:6.4
Step-by-step explanation:
Column 1 Column 2
hiking 3
mountain biking 1.45
horseback riding 1.2
cross-country skiing 0.75
3+1.45+1.2+0.75=6.4
