Answer:
The function given by 
will have a range of y < 3.
Step-by-step explanation:
The function given by will have a range of y < 3.
This is because, for any real values of x, the term 
will have a negative value. If we put x = 1, then, = - 2, and for x = -1, then = - 0.5.
That means 
for all real x.
Hence, 
< 0 + 3
⇒ y < 3 for all real x. (Answer)
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
To get the 0.12 to repeat, the trick is to subtract 1 from the denominator
Then reduce the fraction.
now add the 3 to get
Answer:
False?
Step-by-step explanation:
I'm pretty sure it's false because wouldn't it simplify to 5y? Sorry if I'm wrong. :)
Answer:
Rational
Step-by-step explanation:
Any number that can be represented as a fraction is rational. 13.654 can be represented as the mixed number 13 and 654/1000, making it a rational number.
