Answer:
<em>c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further.</em>
Step-by-step explanation:
<u>Function Modeling</u>
Let's take a look at both functions provided by the problem:


We are told that f(x) represents a student's displacement from school. We notice the following changes in g(x) with respect to f(x)
- All the expressions in parentheses represent a displacement of -10 units in x. If x is time, then in g(x), the time is 10 minutes later than in f(x)
- The factor that multiplies the three parentheses is 1 in f(x) and -0.5 in g(x). If that factor is the speed, then in g(x) the speed is half the speed in f(x) and in the opposite direction. The distance will be half of the distance of f because the student moves slower.
- g(x) has an offset of +6, meaning the object is initially 6 miles further.
The option that collects all the conditions observed in both functions is:
c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further
Answer:
19 + 14 + 10 = 43
Step-by-step explanation:
Answer:
Simple interest-?
Step-by-step explanation:
P= 12000
T=5yrs
R=5%
Now,
Simple interest - PTR/100
= 12000*5*5/100
= $3000
Again,
P=12000
T=3yrs
R=8%
Now,
Simple interest - PTR/100
= 12000*3*8/100
= $2880
Hope this helps.
Answer:
5.16
Step-by-step explanation:
Since after x=3, value of y starts decreasing for increasing values of x, let's choose. Also we need to find f(x) for x=3.4
x=3,4,5 and f(x)=7,3,1 to find lagrange polynomial
P(x)= ((x-x2)(x-x3)y1)/((x1-x2)(x1-x3) + ((x-x1)(x-x3)y2)/((x2-x1)(x2-x3) + ((x-x1)(x-x2)y3)/((x3-x1)(x3-x2)
P(x)= ((x-4)(x-5)7)/((3-4)(3-5)) + ((x-3)(x-5)3)/((4-3)(4-5)) + ((x-3)(x-4)1)/((5-3)(5-4))
P(x)= x² -11x+31
P(3.4)= 5.16
Answer:
5 cm
Step-by-step explanation:
Given a semicircle with perimeter 25.71 cm, we are required to find the radius of the circle.
Circumference of a Semicircle
=Length of the Circular part+Length of the diameter

