X2 - 10x + 24 = 0
( x - 6 ) ( x - 4 ) = 0
x = 6 , 4
( x - 6 ) ( x - 4 ) = 0
x = 6 , 4
Ricardo has a marble collection with 54 blue marbles,24 red marbles, and 18 yellow marbles into equal rows/how many marbles can
1 answer:
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a) Option B Direct variation, y=1.8x is correct option.
b) Option A Not a direct variation is correct option.
Step-by-step explanation:
a) for the data in the table tell whether y varies directly with X if it does write an equation for the direct variation
The direct variation is represented by:
We need to find k.
Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly
Since value of k is constant i.e 1.8 so, y varies directly with x.
Option B Direct variation, y=1.8x is correct option.
b) For the data in the table tell whether Y varies directly with x if it does write an equation for the direct variation.
The direct variation is represented by:
We need to find k.
Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly
Since value of k is not constant so, y doesn't varies directly with x.
Option A Not a direct variation is correct option.
Keywords: Direct variation:
Learn more about Direct variation at:
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Answer:
- 2 seconds
- 72 feet
Step-by-step explanation:
The usual equation used for the vertical component of ballistic motion is ...
h(t) = -16t² +v₀t +h₀
where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.
Your problem statement gives ...
v₀ = 64 ft/s
h₀ = 8 ft
so the equation of height is ...
h(t) = -16t² +64t +8
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For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...
t = -64/(2(-16)) = 2
The object will reach its maximum height after 2 seconds.
The height at that time will be ...
h(2) = -16(2²) +64(2) +8 = 72
The maximum height will be 72 feet.
