As you said it was dropped so in that case I'll take 78.4 meters as the height..
we know that
h = ut + 0.5*g*t(sqr)
t(sqr) = 78.4/(0.5*9.8) [g = 9.8 ms-2]
t = √16
t = 4
So it'd take 4 seconds
Answer:
(5, infinitysymbol)
Step-by-step explanation:
First solve the inequality. Subtract 2 from both sides.
x + 2 > 7
x > 5
So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.
Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.
So x > 5 in interval notation is:
(5, infinitysymbol)
This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.
Answer: -2
Step-by-step explanation: The average rate of a function f(x) from x=a to x=b is given as:
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
Hence, the average rate of change is calculated as:
Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is:
-2
Answer:
x=16
Step-by-step explanation:
If the triangles are similar then their sides are in proportion.
Set the proportions 20/(3x+8)=(x-1)/(x-1+27)
solve for x,
cross multiply
20(x+26)=(x-1)(3x+8),
distribute
20x+520= 3x² +8x-3x-8,
combine like terms
3x²-15x-528=0
solve using quadratic formula
x=16 and x= -11 reject because we cannot have negative measurements
