Graph the following lines and using the graph determine several values of x for which the graph is positive (negative): y=−4x+3
1 answer:
Answer:
Step-by-step explanation:
Given line is,
y=-4x+3
when, x=-1 , y=-4(-1)+3=4+3=7
when, x=0 , y=-4(0)+3=0+3=3
when, x=1 , y=-4(1)+3=-4+3=-1
So, we got the points (-1,7) , (0,3) , (1,-1)
Now, putting the points in the graph and adding them , we will get the graph of given line.
Please check image for the graph.
Now for the second part-
The graph is positive means- it will be above the x-axis, that is y value will be positive.
From the graph we can see that, if x<0 , then y is positive.
So, any value of x which is less than 0 , will give the positive graph here.
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Given:
Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.
Each bucket of ice cream costs $7.28
Each bucket of frozen yogurt costs $8.21.
To find:
The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.
Solution:
Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.
According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.
Divide both sides by 8.21.
Therefore, the required inequality is .