Answer:
-3 1/3
Step-by-step explanation:
The quadratic
... y = ax² +bx +c
has its extreme value at
... x = -b/(2a)
Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.
To find the minimum value, we need to evaluate the function for x=2/3.
The most straightforward way to do this is to substitue 2/3 for x.
... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2
... y = (4 -8 -6)/3 = -10/3
... y = -3 1/3
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<em>Confirmation</em>
You can also use a graphing calculator to show you the minimum.
Answer:
20/35
Step-by-step explanation:
The framed wall art Modern is 20 and the total is 35 so unless you have to simplify this should be the answer
<u>Answer:</u>
- The first four terms are <u>4</u><u>,</u><u>8</u><u>,</u><u>1</u><u>2</u><u>,</u><u>1</u><u>6</u>
<u>Step-by-Step </u><u>Explanation</u><u>:</u>
The given relation between the nth term and it's previous term is given by:
GiveN:
Now finding the other three terms of the AP with the given relation.
Putting a1 = 4,
Now, Third term:
Putting a2 = 8,
Now, Fourth term:
Putting a3 = 12,
Hence, The first four terms of the AP is 4, 8, 12 & 16.
<span>3x^3 + 7x^2 - 7x - 3</span>
= (x + 3)(x - 1)(3x + 1)
answer
other two factors (3x + 1) and (x - 1)
