Answer:
1/2x
Step-by-step explanation:
It's exactly in between the steep slope and the flat line and the steep line's slope is x or 1x.
For the first graph, part a). The limit of f(x) as x approaches 2 from the LEFT follows the line y = 4, which ends at the hollow point (2, 4). This means that the limit is 4.
First graph, part b), The limit as x approaches 2 from the RIGHT follows y = -1, with a hollow point at (2, -1). This means that the limit is -1.
Second graph: We approach x = 3 from the left, following the downward sloping line which ends at the hollow point (3, -1). This means that the limit is -1.
Third graph: We approach x = 3 from the right, following the horizontal line that ends at (3, 3). This means that the limit is 3.
Note that when talking about one-sided limits, we use the hollow point's y-value which the function approaches. However, when looking at the value of f(x), we would use the solid point.
Answer: 18
Step-by-step explanation:
The probability of this event is 424=1/4. Then the probability of 5th toss is head is 1/2. Hence, in the end the answer is 14⋅12=18.
Start by factoring out the GCF, which is 3x:
3x(3x^2 + 2x - 1). Then factor the trinomial 3x^2 + 2x -1:
3x(3x-1)(x+1)
Answer:
see explanation
Step-by-step explanation:
If there is a solution between x = 1.1 and x = 1.2 then there will be a change in sign when the equation is evaluated at the points, indicating the graph has crossed the x- axis, where the solution lies.
Given
x³ + 4x = 6 ( subtract 6 from both sides )
x³ + 4x - 6 = 0 ← in standard form
Evaluating for x = 1.1
(1.1)³ + 4(1.1) - 6
= 1.331 + 4.4 - 6 = - 0.269 ← < 0
Evaluating for x = 1.2
(1.2)³ + 4(1.2) - 6
= 1.728 + 4.8 - 6 = 0.528 ← > 0
Since there is a change in sign the graph has crossed the x-axis from below / indicating a solution between x = 1.1 and x = 1.2
