Answer:
A) (x, y) = (2-3n, 4n-1) . . . . for any integer n
B) no solution
Step-by-step explanation:
A) All coefficients have a common factor of 3, so any solution of the reduced equation will be a solution of the given equation. The reduced equation is ...
4x +3y = 5
A graph of the original shows (x, y) = (2, -1) is a solution. Then other solutions will be those values with a multiple of 4 added to y and the same multiple of 3 subtracted from x:
(x, y) = (2 -3n, 4n -1)
__
B) The left side of the equation is an even number for any integer values of x and y. The right side is an odd number. There can be no solution.
Answer: That's a line graph
Step-by-step explanation:
Answer:
The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.
Thus, domain of f(x): x∈R = range of f¯¹(x)
and range of f(x): x∈R =domain of f¯¹(x)
Answer:
1) 
2) 
3) 
Step-by-step explanation:
To write logs of the form 
in their exponential form, you take the base b and put it to the power of x and then set that equal to a: 
.
1. Here, b = 5, a = 25, and x = 2, so:
2. In this problem, b = 5, x = 2, and a = x, so:
3. Finally, here, b = b, a = 64, and x = 3, so:
Hope this helps!
Answer:
B)5/3
Step-by-step explanation:
"3x + 5y = 15."
Rewrite in slope-intercept form.
The slope-intercept form is
y=mx+b
where m is the slope and b is the y-intercept.
y=mx+b
Subtract 3x from both sides of the equation.
5y=15−3x
Divide each term by "5" and simplify.
5y/5=15/5−3x/5
"5" and "5" cancel each other out
Divide 15 by 5
y=3-3x/5
Reorder 3 and −3x/5
y=-3x/5+3
Rewrite in slope-intercept form.
y=−3/5x+3
Slope:-3/5
The equation of a perpendicular line to y=−3x/5+3 must have a slope that is the negative reciprocal of the original slope.
<em>m</em>perpendicular=−1/(−3/5)
Simplify the result.
mperpendicular=5/3
hope this helps!
