Suppose f(x)=x^2.What is the graph of g(x)=f(5x)?

Mathematics

1 answer:

ZanzabumX [31]3 years ago

5 0

Answer:

Step-by-step explanation:

g(x)=f(5x)

this means plugging in 5x for x in f(x):

g(x)=f(5x)=(5x)^2

which can be further simplified:

5^2x^2=25x^2

Since the coefficient of x being larger means a vertical stretch, the answer is D

example:

g(2)=f(5*2)=f(10)=f(10^2)=100

so for g(x), it has the coordinates (2,100), which is most definitely not C

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Bryan is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 15 km/h. After

myrzilka [38]

Part A.

What we can do to solve this problem is to assume that the acceleration of Bryan is constant so that the velocity function is linear. The standard form of a linear function is in the form:

y = m x + b

or in this case:

v = m t + b

where v is velocity and t is time, b is the y –intercept of the equation

The slope m can be calculated by:

m = (v2 – v1) / (t2 – t1)

m = (12 – 15) / (7 – 4)

m = -1

Since slope is negative therefore this means the cyclist are constantly decelerating. The equation then becomes:

v = - t + b

Now finding for b by plugging in any data pair:

15 = - (4) + b

b = 19

So the complete equation is:

v = - t + 19

This means that the initial velocity of the cyclists at t = 0 is 19 km / h.

Part B. What we can do to graph the equation is to calculate for the values of v from t = 0 to 12, then plot all these values in the Cartesian plane then connect the dots.

6 0

4 years ago

About 1.2 million people live in a region with a 6-mile radius what is the population destiny in people per square mile

Paladinen [302]

Answer:

10616 people per square mile

Step-by-step explanation:

No. of people living in the region = 1.2 million

Radius of the area = 6 mile

Since radius of region is given, area of can be calculated by using formula to get area of circle which is $\pi r^2$ where r is radius of circle.