Answer:
- y-intercept: 58
- vertex: (2, 78) -- a maximum
Step-by-step explanation:
The negative leading coefficient tells you this parabola opens downward, so the vertex will be a maximum. The constant is the y-intercept, which is 58.
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The vertex is nicely found using a graphing calculator, but can also be found algebraically. The x-value is ...
x = -b/(2a) = -19.8/(2·(-4.9)) = 19.8/9.8 = 99/49 ≈ 2.02041
The value of f(99/49) is ...
f(99/49) = (-4.9(99/49) +19.8)(99/49) +58 = (9.9)(99/49) +58 ≈ 78.002
The location of the vertex is approximately ...
(x, y) ≈ (2.0204, 78.002) ≈ (2, 78)
Answer:
1/3*p
Step-by-step explanation:
Algebraic expressions cannot be quotients, so you must rewrite it as a multiplacation.
Answer:
750 monkeys (probable chance)
Step-by-step explanation:
100 : 50
100 square miles to a 2:1 ratio of 50 monkeys
Simply, insert the new area into the ratio to get the result.
1500 ---> 2:1
1500/2 = 750
1500:750
Thus, there would probably be 750 monkeys inhabiting a 1,500 square mile jungle.
Answer:
Area = 210
Step-by-step explanation:
Given:
To find:
Steps:
A = b · h
= 15 · 14
= 210
Answer:
The correct option is C.
Step-by-step explanation:
The given cubic equation is
According to the rational root theorem 1 and -1 are possible rational roots of all polynomial.
At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.
Use synthetic division to find the remaining polynomial.
Using 
USe zero product property and equate each factor equal to 0.
Therefore the equation have three real roots out of which the value of two roots are same.
Option C is correct.
