Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentation: y= x^2 + 11x + 24. Thanks.
Because x^2 is positive, the graph of this parabola opens up.
We can find the vertex and roots (zeros) as follows, using the quadratic formula:
With a = 1, b = 11 and c = 24,
-11 ± √ [ (11^2-4(1)(24) ] -11 ± √25
x = ------------------------------------ = --------------- = -3 and x = -8
2(1) 2
This tells us that the x-intercepts are at (-3, 0) and (-8, 0). The minimum value is at x = -b / (2a), which here is x = -11 / [2] = -5 1/2 (which is halfway between the zeros).
The vertex (and thus, the minimum) is at (-5 1/2, f(-5 1/2) ).
Answer:
First term: -10
Fourth term: -55
Eighth term: -115
Step-by-step explanation:
I am assuming the means -5(3n-1). To find the first term, plug in 1. You will get -5(3*1-1) or -5*2 or -10.
To find the fourth term, plug in 4. You will get -5(3*4-1) or -5*11 or -55.
To find the eighth term, plug in 8. You will get -5(3*8-1) or -5*23 or -115.
So the answers are -10, -55, and -115.
Answer:
-5 2/3 points per minute
Step-by-step explanation:
change / time = (-85 points)/(15 minutes) = -17/3 points/minute = -5 2/3 points/minute

Square 12.1, and subtract 121 from both sides.

Complete the subtraction on the right side.

This is the solution.
1.
The 5/65 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.

2. The 10/125 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.

3. The 65/5 simplifies, the a³ moves to the numerator, and bc is canceled from the numerator and denominator.

4. The 10/130 simplifies, the b² cancels out in the numerator and denominator, and the

moves to the numerator.

5. The 10/130 simplifies, the b² cancels out in the numerator and denominator, the

moves to the numerator, and the

moves to the numerator.

I believe the only expression that simplifies to

is the first one.