Find the nonpermissible replacement for y in this expression. 3/-5y

2 answers:

7 0

Answer: The non-permissible replacement for this expression is y = 0.

In math, we cannot divide by 0. It is not allowed. Therefore, in this problem, we cannot divide be 0.

In other words, the denominator can't be 0.

So we can write and solve the following equation to determine what would make the denominator 0.

-5y = 0 Divide by -5
y = 0

Y cannot be 0 in this expression.

S_A_V [24]3 years ago

6 0

We have that
(3/-5y)

we know that
zero in the denominator is NOT allowed
y = 0 is the non permissible replacement for y in this expression 
the domain of this expression is all y value real numbers except the value of y=0

domain is (-∞,0) ∩ (0,∞)

the answer is
y=0

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A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio

Natali5045456 [20]

Answer:

y=-\frac{5}{3} x+\frac{10}{3} or what is the same: $5x+3y=10$

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: $slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}$

Now we use this slope in the general form of the slope- y_intercept of a line:

$y=-\frac{5}{3} x+b$

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

$y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}$

Therefore, the equation of the line in slope y_intercept form is:

$y=-\frac{5}{3} x+\frac{10}{3}$

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

$y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10$