Identify the effect on the graph of replacing f(x) by A f(x)

Mathematics

1 answer:

JulijaS [17]3 years ago

6 0

Answer:

See explanation

Step-by-step explanation:

Required

Effect of replacing $f(x)$ with $f(x - h)$

f(x) is represented as: (x,y)

While

f(x - h) is represented as (x - h, y)

Notice the difference in both is that, the x value in f(x - h) is reduced by a constant h while the y value remain unchanged.

This means that the graph of f(x) will shift horizontally (i.e. along the x-axis) to the left by h units

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Naily [24]

Answer:

The cost of 1000 bushels is $9790

Step-by-step explanation:

Given

$Cost = \$9.79$ per bushel

Required

Determine the cost of 1000 bushels

If 1 bushel costs $9.79,

Then 1000 costs:

$Total = \$9.79 * 1000$

$Total = \$9790$

3 0

3 years ago

What is the value of tan (-2pi/3)?

wolverine [178]

This revolves around exact trig values - no easy way to say this, you just need to memorise them. They are there for sin cos and tan, but I will give you the main tan ones below - note this is RADIANS (always work in them when you can, everything is better):

tan0: 0
tanpi/6: 1/sqrt(3)
tanpi/4: 1
tanpi/3: sqrt(3)
tanpi/2: undefined

Now we just need to equate -2pi/3 to something we understand. 2pi/3 is 1/3 of the way round a circle, so -2pi/3 is 1/3 of the way round the circle going backwards (anticlockwise), so on a diagram we already know it's in the third quadrant of the circle (somewhere between pi and 3pi/2 rads).
We also know it is pi/3 away from pi, so we are looking at sqrt(3) or -sqrt(3) because of those exact values.

Now we just need to work out if it's positive or negative. You can look up a graph of tan and it'll show that the graph intercepts y at (0,0) and has a period of pi rads. Therefore between pi and 3pi/2 rads, the values of tan are positive. Therefore, this gives us our answer of sqrt(3).

4 0

3 years ago

Read 2 more answers

You have already run 4 miles. If you run at a speed of 8 miles per hour, how many total miles will you run in 2 more hours? Choo

Inessa [10]

Answer:

20 miles

Step-by-step explanation:

I'm not sure if that is exactly how you solve it but

If its

8x+4 as the equation and x is the number of hours run

the total number of miles run should be 20 miles