Find the vertex of the graph of f(x) = x2 + 4x - 5.
1 answer:
You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
You might be interested in
Answer:
39.2
Step-by-step explanation:
We need to find the solution of 7 copies of sum of 8 fifths and 4.
Now, 8 fifths =
Sum of 8 fifths and 4 = =
Now, 7 copies of means that we meed to multiply
7 times
7 copies =
7 copies = 39.2
Hence, the solution is 39.2.
Answer:
a. The probability of both balls are blue is .
b. The probability of getting first red and second yellow ball is .
Step-by-step explanation:
It is given that the box contains 14 red balls,12 blue balls,and 9 yellow balls. The total number of balls is
The probability is defined as
Probability of getting red ball =
Probability of getting blue ball =
Probability of getting yellow ball =
It is given that a ball is drawn at random and the color is noted and then put back inside the box. It means first event will not effect the probability of second event.
a.
The probability of both balls are blue is
b.
The probability of getting first red and second yellow ball is