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Answer:
sign(f(3)) ≠ sign(f(4))
Step-by-step explanation:
The intermediate value theorem tells you that a sign change between f(a) and f(b) means there is a root in the interval [a, b].
Here, we have f(3) ≈ +2.9 and f(4) ≈ -17.6, so there is a root in [3, 4].
_____
The root is approximately 3.27560108885.
The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
Find out more at: brainly.com/question/15019502
Answer:
The nth term is given by:
The 30th term is 78.
Step-by-step explanation:
Arithmetic sequence:
The nth term of an arithmetic sequence is given by:
In which is the first term and d is the common difference between terms.
-9, -6, - 3,0
This means that . So
30th term:
The 30th term is 78.
when the time is between 0 and 15 minutes, the distance depends on the time on a relation: d =(1/10)t
when the time is between 15 and 40 minutes, the distance is independent of the time, it is fixed d = 1.5 miles
when the time is between 40 and 50 minutes, the distance depends on the time on the relation: d = 1.5 + (1/10)(t - 40)
