Answer:
a₅ = 37
Step-by-step explanation:
The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 16, then
a₁ + 11d = 16 ← substitute d = - 3
a₁ + 11(- 3) = 16
a₁ - 33 = 16 ( add 33 to both sides )
a₁ = 49 , then
a₅ = 49 + (4 × - 3) = 49 - 12 = 37
Answer:
1) 16
2) 12
4) 4
5) 0
Step-by-step explanation:
Plug in the value for x in the equation above and solve for y for all 5.
X can be anything greater than 59 or x>59
Answer:
In order to sketch a parabola, one will typically use the y-intercept, the x-intercepts, and the vertex.
Step-by-step explanation:
In order to sketch a parabola, one will typically use the given equation in standard form, 
, and:
- The y-intercept – the point where the parabola crosses the vertical axis – by substituting 0 for all <em>x</em> values in the given equation and solving for <em>y</em>.
- The x-intercepts – the points where the parabola crosses the horizontal axis – by setting the given equation equal to 0 (i.e., <em>y</em> = 0) and finding the factors (or roots).
- The vertex – the point of symmetry where the parabola changes direction and curves up or down – by using
to find the x-coordinate then plugging that value into the given equation to find the y-coordinate.
Answer: The answer is 100 to 140 feet.
Step-by-step explanation: Given that we are anchoring our boat and the water is 20 feet deep. We are to calculate the anchor line we should use.
General rule of calculating anchor line is given by
Multiplying the depth of the water by 5 to 7 . For example, if the water depth is 'x' feet, then we will multiply 'x' feet by 5 to 7 to get the amount of anchor line to put out.
Here, the depth of water = 20 feet.
So, the anchor line should be 5 × 20 to 7 × 20 feet, i.e., 100 to 140 feet.
Thus, the anchor line should be 100 to 140 feet.
