4k+6 is greater or equal to -14
4k is greater or equal to -20
k is greater or equal to -5 <-- answer
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:
$161.50
Step-by-step explanation:
the revenue for an item of $85 with a 90% markup is $161.50
Answer:
The equation of the line is y - 3 = 2.5(x - 2) ⇒ D
Step-by-step explanation:
The rule of the slope of a line is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
The point-slope form of a line is y - y1 = m(x - x1), where
- (x1, y1) is a point on the line
From the given figure
∵ The line passes through points (2, 3) and (0, -2)
∴ x1 = 2 and y1 = 3
∴ x2 = 0 and y2 = -2
→ Substitute them in the rule of the slope to find it
∵ m = 
∴ m = 2.5
→ Substitute the values of m, x1, y1 in the form of the equation above
∵ m = 2.5, x1 = 2, y1 = 3
∵ y - 3 = 2.5(x - 2)
∴ The equation of the line is y - 3 = 2.5(x - 2)
Step-by-step explanation:
k/4=33/20
k=33/20×4
k=33/5