26 good luck n I hope you pass
Using translation concepts, it is found that the transformations to create function d are given as follows:
- Horizontal shift right 1 unit.
- Vertical shift up 5 units.
- Frequency multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent cosine function is given by:
f(x) = cos(x).
The translated function is given by:
d(x) = cos(2x - 1) + 5.
Which means that:
- 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
- 5 was added in the range, hence there was a vertical shift up 5 units.
- There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
- 32
- 400
Step-by-step explanation:
Lets start by defining the numbers in the equation.
This equation is in slope-intercept form meaning that it is y=mx+b or y = b+mx they are both the same
In slope-intercept form,
- m = slope or rate
- and b = y-intercept
Th equation is y=400+32x so now we know
For the first question the change per minute is the rate so it is <u>32.</u>
For the second question the starting amount is the same as the y-intercept so it is <u>400.</u>
83,034.6 - 82,803.6 = 231 miles
231/16.5 = 14 miles per gallon
Hello,
We must calculate the volume of water in one hour.
V=15000*PI*0.07²=230,9070600... m^3/h.
Volume of the pond=50*44*.21=462 m^3
Time=462 m^3/ 230.907... m^3/h=2,0008... h≈2 h
