This is the concept of application of quadratic expressions. Given that the height of the ball is modeled by the equation;
h=-7.3t^2+8.25t+2.1+5
The time taken for the ball to hit the ground will be given as falls;
-7.3t^2+8.25t+7.1=0
to solve for t we use the quadratic formula;
t=[-b+/-sqrt(b^2-4ac)]/(2a)
a=-7.3, b=8.25, c=2.1
t=[-8.25+/-sqrt[8.25^2+4*7.3*7.1]/(-2*7.3)
t= -0.572
or
t=1.702
since there is not negative time we take the time taken for the ball to hit the ground will be: t=1.702 sec
Answer:
77
Step-by-step explanation:
$2790 is shares equally between 3 committees. each committee would get - $2790 / 3 = $930
If a shirt costs $12 and the Sports Committee gets $930, the committee would get $930 / $12 = 77.5
The committee cannot get half a shirt, so the greatest number of shirt that can be purchased is 77
Standard diameter of golf ball = 42.67 mm
Maximum discrepancy accepted = 0.002 mm.
There are several ways to express that situation.
Calling x the diameter of any ball, these are the main two ways, one using the function absolute value and other without uisng it.
1) Without using the function absolute value:
42.67 mm - 0.02mm ≤ x ≤ 42.67 mm + 0.002 mm
42.65 mm ≤ x ≤ 42.69
2) Using the function absolute value
Subtract 42.67 mm on the three parts of the relation of above:
- 0.02 mm ≤ x - 42.67 mm ≤ 0.02
| x - 42.67mm| ≤ 0.02 mm
1/6th because he used half of a whole part. You just multiply the fraction by 2 and count how many parts are flowers in the whole garden afterward :)
Drawing it out helps too! Good luck!
