Answer: 3
Step-by-step explanation:
The points on the graph are:
- Midline point = (0,-5)
- Maximum point = (0.65,-2)
<h3>(a) The graph of the function</h3>
The equation of the function is given as:
See attachment for the graph of the function f(x)
<h3>(b) The midline point</h3>
This is the point that is on the line that passes through the midsegment of the function.
From the graph, a point on the midline is (0,-5)
<h3>(c) The maximum point</h3>
This is the point that is on the vertex of the function.
From the graph, a point on the midline is (5pi/24,-2)
This can be rewritten as: (0.65,-2)
Read more about trigonometry graphs at:
brainly.com/question/8120556
1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.
Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x. It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4. This is the value that we add to both sides.
2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.
3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6. 6/2 = 3; 3²=9. The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
Answer:
$675
$850
$1200
Step-by-step explanation:
Use formula for simple interest:
A = P (1+rt)
where
A = accrued amount (principal + interest) = what we want to find
P = Principal (initial) amount = Given as $500
r = rate of interest = Given as 7% = 0.07
t = time
For 5 years, t = 5
A = 500 [ 1 + 0.07(5) ] = $675
For 10 years, t = 10
A = 500 [ 1 + 0.07(10) ] = $850
For 20 years, t = 20
A = 500 [ 1 + 0.07(20) ] = $1200
5 : -16
6 : -19
7 : -22
8 : -25
9 : -28
10: -31
11 : -34
12: -37
13: -40
14 : -43
15 : -46
16 : - 49
17 : - 52
18 : - 55
19 : - 58
20: - 61
21 : - 64
22: -67
23: -70
23rd term : is -70
