The graph that represents viable values for y = 2x is Option A.
<h3>What is a Straight Line Function ?</h3>
A straight line function is given by y = mx +c , where m is the slope and c is the y intercept.
The given equation is y = 2x
here m = 2
x is the number of pounds of rice scooped and purchased from a bulk bin
y is the total cost of the rice
as both the data cannot be negative , Option C , D is out of choice
The Option 1 represents a straight line and it starts at the origin which is satisfied by y = 2x as y = 0 , at x = 0
ends at point (2.5, 5) giving a slope of m =2 ,
Therefore , The graph that represents viable values for y = 2x is Option A.
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The answer is X=-7 and X=6
Consider the system of inequalities

1. Plot all lines that are determined by equalities (see attached diagram)

2. Determine which bounded part of the plane you should select:
means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);- for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line. - for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
3. According to the previous explanations, the shaded region is as in A diagram.
Answer: correct choice is A.
If she leaves 15 minutes earlier than Allen, she would have to drive at 56.47 mph to arrive at the same time as Amber
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Amber travels at a speed 60 mph, hence the time taken (t) is:
60 = 240/t
t = 4 hours
If he leaves 15 minutes earlier, the time would be 4 hr + 0.25 hr (15 min) = 4.25 hr, hence:
Speed = 240 miles / 4.25 hr = 56.47 mph
If she leaves 15 minutes earlier than Allen, she would have to drive at 56.47 mph to arrive at the same time as Amber
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Answer:
x-intercept: (-7,0)
y-intercept: (0,2)
Step-by-step explanation:
The x-intercept is (-7,0) because on the graph we can see that the line lies on the x-axis on the point (-7,0).
The y-intercept is (0,2) because we can see that the line pass through the y-axis on the (0,2) point.
Hope this helps you :)