Step-by-step explanation:
you have to put the picture of the polygon or we can't answer the question.
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
What do you need help with? it helps us to know the question!
Interest rate is 5% annually. After 4 years relative value of interest will be 1.05^4
Now we multiply that with starting funds and get
4000* 1.05^4 = 4862.03
Answer:
- The next term of the sequence is represented by the point (5, –64)
Step-by-step explanation:
<u>Note:</u> <em>The first point should be (1, - 4)</em>
According to the points, the sequence is:
- t₁ = - 4, t₂ = 8, t₃ = - 16, t₄ = 32
or
We can observe it is a geometric sequence with common ratio of - 2, as:
- r = 32/ - 16 = - 16/8 = 8/ - 4 = - 2
The following term is:
- t₅ = t₄*r = 32*(- 2) = - 64
The coordinates of same term are:
As we see the correct answer choice is D.