Answer:
Step-by-step explanation:
(3,2),(6,3)
slope = (y2 - y1) /(x2 - x1)
slope = (3 - 2) / (6 - 3) = 1/3
y = mx + b
slope(m) = 1/3
use either of ur points...(3,2)...x = 3 and y= 2
now sub and find b, the y int
2 = 1/3(3) + b
2 = 1 + b
2 - 1 = b
1 = b
so ur equation is : y = 1/3x + 1
Answer:
Charge(x) = $60 + ($0.75/mile)x, where x is the number of miles driven.
Step-by-step explanation:
That $60 is the y-intercept and represents the (flat) charge per session. The ($0.75/mile)x represents the amount charged for the total number of miles driven.
9514 1404 393
Explanation:
<h3>Part 1.</h3>
The inverse of a function y = f(x) can be found by solving x = f(y) for y.
When we do that here, we find ...

When we compare this to g(x), which we want to be the inverse of f(x), we see that ...
cx -d = bx -a ⇒ b=c, and d=a
We can choose a=d=1 and b=c=2 to make the two functions inverses:
f(x) = (x +1)/2
g(x) = 2x -1
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<h3>Part 2.</h3>
The inverse of f(x) is g(x) if f(g(x)) = x.
f(g(x)) = ((2x -1) +1)/2 = 2x/1 = x . . . . . g is the inverse of f
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<h3>Part 3.</h3>
Same as Part 2, but in reverse.
g(f(x)) = 2((x +1)/2) -1 = (x +1) -1 = x
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<h3>Part 4.</h3>
The attachment is a graph of the two functions and a table of values. The line y=x is the dashed orange line. You will notice that f(x) and g(x) are reflections of each other across that line.
Answer:
C. (40 × 60 × 10) + (30 × 60 × 10) = V
Step-by-step explanation:
Picture of the cake can be found in the attachment below :
To solve, we resolve the cake into two distinct boxes :
The lower which is lateral sits parallel, whose volume, = (length * width * height) = (60 * 30 * 10)
And the other which sits vertically ;
Volume = (length * width * height) = (10 * 60 * 40)
Then, we add;
Overall volume:
(60 * 30 * 10) + (10 * 60 * 40)