Answer:
x= 5.55 and 0.45
Step-by-step explanation:
Quadratic Equation = (-b±√b²-4(a)(c))÷2(a)
Get equation = to 0 by subtracting the 3 on the right side of the = sign
2x² - 12x + 5
Identify the variables
a=2
b=-12
c=5
Put them into the quadratic equation
(-(-12)± √-12² - 4(2)(5))÷2(2)
Simplify
(12 ±√144 - 40)÷4
(12±√104)÷4
Now split into 2 equations (one with addition one with subtraction) because of the ± then continue simplifying
(12 - √104)÷4 (12 + √104)÷4
(12 - 10.198039)/4 (12 + 10.198039)/4
5.54950975 0.45049025
Round
5.55 0.45
The first month in which the board will see the cumulative total number of candy bars sold in Manila exceeded the cumulative total in Seoul is of:
3rd month.
<h3>What are linear functions?</h3>
The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients are defined as follows:
- m is the slope, representing the rate of change.
- b is the y-intercept, representing the initial value.
For the functions in this problem, the slope and the intercept are given as follows:
- Intercept: amount sold by the end of the first month.
Taking the end of the first month as a parameter, the functions are defined as follows:
- Seoul: S(m) = 40 + 60(m - 1).
- Manila: M(m) = 20 + 80(m - 1).
Then Manila exceeds Seoul when:
M(m) > S(m)
20 + 80m - 80 > 40 + 60m - 60
20m > 40
m > 2.
2.1 for example is in the 3rd month, hence the 3rd month is the correct answer.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
see explanation
Step-by-step explanation:
A
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here diameter = 12 , then radius = 12 ÷ 2 = 6 , then
A = π × 6² = 3.14 × 36 = 113.04 m²
B
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here C = 28.26 , then
2πr = 28.26 ( divide both sides by 2π )
r = 
= 
= 4.5 in
Answer:
Good question 3 letters KCF!
Step-by-step explanation:
K- Keep
C-Change
F-Flip
Keep: 3/4
Change: The division sign to multiplication
Flip: The 1/8 to 8/1
Answer= 6
80 yards....simple calculation...as (2/3)*120= 80
