Answer:
<h3>The function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>
Step-by-step explanation:
Given that "Naoya read a book at a rate of 55 pages per hour".
After reading book for 4 hours, he had 330 pages remaining to read.
In 4 hours, Naoya must read is given by
( by given)
<h3>∴ In 4 hours, Naoya must read 220 pages</h3>
From the given there were 330 pages remaining to read at the time,
The total number of pages is given by
=220+330
=550
<h3>∴ The total number of pages is 550 </h3>
For each hour of reading, Naoya reads 55 pages, so the number of pages he finished reading by the "t"th hour is given by 55t
Let P(t) be the number of pages to read where P is a function of time t (measured in hours)
So the number of pages left to read is given by
P(t)=550-55t
P(t)=55(10-t)
<h3>∴ the function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>
Answer:
Part A:
The graph passes through (0,2) (1,3) (2,4).
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2
Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.
Since the slope is constant (the same) everywhere, the function is linear.
Part B:
A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.
An example is y=2x-3
A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3
A non-linear function contains at least one of the following,
*Product of x and y
*Trigonometric function
*Exponential functions
*Logarithmic functions
*A degree which is not equal to 1 or 0.
An example is...xy= 1 or y= sqrt. x
An example of a linear function is 1/3x = y - 3
An example of a non-linear function is y= 2/3x
Answer:
m = 9
Step-by-step explanation:
1) Find scale factor
12/8 = 3/2 = 1.5
2) 6x1.5 = 9
OR
1) Set up proportion -> 6/8 = m/12
2) Cross multiply -> 8m = 72
3) Divide both sides by 8
4) m = 9
Answer:
2/3
Step-by-step explanation:
f(x)=g(x)
-3x+4=2
Add 3x
3x+2=4
subtract 2
3x=2
divide by 3
x=2/3
Answer:
−2x4+6x3−8x2
Explanation:
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