9514 1404 393
Answer:
- domain: all real numbers
- range: y ≥ 0
Step-by-step explanation:
The function is defined for all values of x, so its domain is all real numbers.
The function can produce values of f(x) that are 0 or greater, so its range is ...
y ≥ 0
Let
x---------> the length of the first piece
y---------> the length of the second piece
z---------> the length of the third piece
we know that
x+y+z=72 -------> equation 1
y=x+6 -----> solve for x
x=y-6 -------> equation 2
z=6+y -------> equation 3
substitute equation 2 and equation 3 in equation 1
[y-6]+y+[6+y]=72
3y=72
y=(72/3)=24 in
<u>Find the value of x</u>
x=y-6 -------> equation 2
x=24-6=18 in
<u>Find the value of z</u>
z=6+y -------> equation 3
z=6+24=30 in
therefore
<u>the answer is</u>
the length of the first piece is 18 in
the length of the second piece 24 in
the length of the third piece is 30 in
9514 1404 393
Explanation:
We can find the slope by solving for y.
3x +2y +7 = 5x +3y +10
-2x -3 = y . . . . . . . . . . . . . add -5x-10-2y to both sides of the equation
In this form, the slope (m) is the coefficient of x, -2. Hence m = -2.
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<em>Alternate solution</em>
A graph of the equation shows it has an x-intercept of -1.5 and a y-intercept of -3. The slope (m) is then "rise" divided by "run", or ...
m = rise/run = -3/1.5
m = -2
The pairs are 1 and 10. 2 and 5.
