Answer:
y = 15x
Step-by-step explanation:
The equation for direct variation is ...
y = kx
where k is the constant of proportionality.
__
We can find k by dividing by x:
y/x = k
Using the given values, we find it to be ...
75/5 = k = 15
Using this value of k in the equation, we find the equation of direct variation is ...
y = 15x
D) 47,000
0.60 (<em>x</em>+38,000)= 51,000
(0.60<em>x</em>)+22,800= 51,000
51,000-22,800= 28,200
28,200÷0.60= 47,000
0.06 (47,000+38,000)= 51,000
28,200+22,800= 51,000
Answer:
y = - 8x + 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange y + 8x = 4 into this form
Subtract 8x from both sides
y = - 8x + 4 ← in slope- intercept form
with slope m = - 8
Parallel lines have equal slopes, thus
y = - 8x + c ← is the partial equation
To find c substitute (3, 4) into the partial equation
4 = - 24 + c ⇒ c = 4 + 24 = 28
y = - 8x + 28 ← equation of line
Answer:
The sum of all real numbers x that are not in the domain of the function f(x) is 2.
Step-by-step explanation:
The given function is
The domain is the set of inputs. So, the domain of the given function is all real numbers except those numbers for which denominator values is equal to 0.
It means is not included in domain.
It means 2 is not included in domain.
It means is not included in domain.
The sum of all real numbers x that are not in the domain of the function f(x) is
Therefore the sum of all real numbers x that are not in the domain of the function f(x) is 2.
[tex]\begin{gathered} \text{The inequality is,} \\ 5