Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A. 
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B. 
Solving above expression we get;
From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C. 
Solving above expression we get;
From above equation we can state that y is equal to x.
Hence it represent direct variation.
D. 
Solving above expression we get;
From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C.
Answer:
Step-by-step explanation:
if f(x)=3x-1 and g(x)=2x+5 then
f(x)-g(x)=3x-1-(2x+5)
f(x)-g(x)=3x-1-2x-5
f(x)-g(x)=x-6
Answer:
(F). People may have a career following their passion, but have a low income or a long commute.
(A). A working spouse could affect all three variables. (C).People might be very satisfied with their career as long as the income is high.
(E). One-way commute times may be long because affordable housing is distant from the job.
Step-by-step explanation:
a. People may have a career following their passion, but have a low income or a long commute.
sometimes people can get jobs based on their passion but might still have low income and a long commute.
b. A working spouse could affect all three variables.
Yea a working spouse considers the income rate, job satisfaction and commute time involved in a job because it can affect their daily lives.
c. People might be very satisfied with their career as long as the income is high.
Most people are more satisfied with their career when the income rate is high.
d. One-way commute times may be long because affordable housing is distant from the job.
Income rate affects the choice of accommodation and housing.
Answer:
(p,r) = (1/3, 2/9)
Step-by-step explanation:
Here, we want to solve a system of equations
We can rewrite the second equation by dividing through by 2
So we have;
4p + 3r = 2
and
5p - 3r = 1
Add both equations:
9p = 3
p = 3/9
p = 1/3
Recall ;
5p - 3r = 1
3r = 5p - 1
Substitute the value or p here
3r = 5(1/3)-1
3r = 5/3 - 1
3r = 2/3
r = 2/9
So we have the solution set as;
(p,r) = (1/3 , 2/9)
Answer:
Step-by-step explanation:
When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
E (8,4) ⟶ E' (-8,4)
F (-16,-8) ⟶ F' (16,-8)
G (24,-16) ⟶ G' (-24,-16)
The figure EFG and its reflection E'F'G' are shown in the diagram below.
