Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.
To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
x = [ -7 ± √(49 - (-180) ) ] / ( -10 )
x = [ -7 ± √(229) ] / ( -10)
x = [ -7 ± sqrt(229) ] / ( -10 )
x = 7/10 ± -sqrt(229)/10
The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.
the angles on the opposite sides of a quadrilateral touching the circumference adds up to 180 degrees
so,
(21x-2) + (38x +5) = 180
21x+38x −2+5=180
59x+3=180
59x=177
x=3
Answer:
$1323.00
Step-by-step explanation:
A simple equation that can be used to figure this out is:
p*1.5*o=t
The variables mean:
p- hourly pay
o- hours worked overtime
t- total amount of money earned.
(Also, the 1.5 is always used to calculate overtime, no matter what job, unless otherwise specified, and as referred in the problem as "time and a half").
So, to finally work out this problem:
($14*1.5)*63=?
first, (14*1.5)= $21
($21*63)= $1323.
Convert minute to seconds (1 minute = 60 seconds), set up a proportion, cross multiply, and solve.
Proportion: 
= 
Cross multiply: 60 · 100 = 5 · x
Solve (divide both sides by 5): 1200 = x
Answer: 1200 ft
Answer:
x=3 and y=1
Step-by-step explanation:
First find the deteminant
That is ad-bc
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