=4x+12
Apply the distributive property
Arrange like terms
Simplify
Answer:
a) the lines coincide, c) the slopes are equal, d) the y-intercept are equal, e) the system has an infinite number of solutions.
Step-by-step explanation:
Each equation is a multiple of the other one. Thus, the system of equation has an infinite of solutions, reports same slopes and y-intercepts and coinciding lines.
Answer:
75%
Step-by-step explanation:
The <em>number </em>increase is 9. 9 is what percent of 12? 9 is 75% of 12
Answer:
(a) This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Step-by-step explanation:
The equation of direct variation is ...
y = kx
for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.
__
<h3>constant of variation</h3>
Solving the direct variation formula for k, we have ...
k = y/x
Using the table values, we can see if this is constant:
k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5
The "rate of change" is constant at $5 per hour.
The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Answer:
8.4
Step-by-step explanation:
42/5 (Decimal: 8.4)
