<h2>
Explanation:</h2>
Remember you need to write complete questions in order to find exact answers. In this way you haven't provided any function, so I'll choose a quadratic function given by:
So we need to find the entire interval at which this function positive. Put another way:
By using graphing tool, we get the graph shown below. As you can see:
- The function decreases from
- The function increases from
- The graph of the function is a parabola that opens up.
But what is really importan in this problem is that:
- The function is positive over the interval
At this interval the function is positive, that is,
<h2>Learn more:</h2>
Standard equation of the graph of a parabola:
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( 6 − 7 i ) ( − 8 + 3 i )
First FOIL:
( 6 − 7 i ) ( − 8 + 3 i ) = -48 + 18i + 56i -21i^2
Combine like terms
= -48 + 74i -21i^2
Convert i^2 = -1
= -48 + 74i -21(-1)
And simplify
= -48 + 74i + 21
= -27 + 74i
9514 1404 393
Answer:
(b) 5, 17
Step-by-step explanation:
You can try the answer choices easily enough.
2 +3×8 ≠ 14
2 +3×5 = 17 . . . . this choice works (5, 17)
2 +3×2 ≠ 20
2 +3×4 ≠ 18
2 +3×10 ≠ 12
__
Or, you can solve the equation:
x + (2 +3x) = 22
4x = 20 . . . . . . . . subtract 2
x = 5 . . . . . . . . . . divide by 4
The numbers are 5 and (22 -5) = 17.
Answer:
A
Step-by-step explanation:
Answer:
y = (2/5) OR y = (6/5)
Step-by-step explanation:
The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:
4 - 5y = 2 OR 4 - 5y = -2
5y = 2 OR 5y = 6
y = (2/5) OR y = (6/5)
If we plug both of these answers back into the equation we can see that they both check out.
