Answer: t= 4 seconds
Maximum height = 256 feet
Step-by-step explanation:
The height of the object projected upwards after t seconds is given by
s(t)=-16t^2+128t.
The expression is a quadratic equation. When this equation is plotted on a graph, height against time, it takes the shape of a parabola whose vertex represents the maximum height attained by the object.
To get the value of t at the maximum height,
t = -b/2a
From the equation,
a = -16
b = 128
t = -128/-2×-16
= -128 /- 32= 4
it will take 4 seconds to reach its maximum height
To find maximum height attained, put t= 4 in the equation
s(t)=-16t^2+128t
S = -16× 4^2 + 128×4
S = -256+512
S = 256 feet
1) If a card is drawn from a pack of 52 cards of which 26 are black (13 spades A, 2, 3,…, 10, J, Q, K); 13 are clovers); and 26 are red (13 hearts and 13 diamonds), find the probability of:
a) that the letter is a K.
b) that the card is red.
c) That the card is diamond.
Help them
Answer:
15
Step-by-step explanation:
Solve using the left-> right rule. Note that they all have addition signs and that they are all positive numbers:
3 + (8) + 4 = 3 + 8 + 4 = (3 + 8) + 4 = (11) + 4 = 15
15 is your answer.
~
Answer
combination maybe.
Step-by-step explanation:
no idea.
Answer:
f(x)= -(x^3+10x^2-275x-1500) Standard
f(x)= -(x+20)(x+5)(x-15)
Step-by-step explanation:
The factored form of the equation is:
(x+20)(x+5)(x-15)=f(x) Each of the zeroes are where the graph crosses the x-axis.
The expanded form of the equation is found by using FOIL on the equations above:
-x^3+10x^2-275X-1500
The leading coefficient is negative because the graph rises to the left and falls to the right.
