To solve this problem, we can begin by analyzing the graph and then eliminating incorrect answers. By looking at the graph, we can see that it has a positive correlation (the graph is increasing from left to right), which tells us that it has a positive slope. Using this knowledge, we can eliminate answer choices C and D, which both suggest equations with a negative slope (which would mean that the line was decreasing from left to right).
Next, we must analyze the slope. Answer A suggests that the slope is 3/2, meaning that the line rises 3 units for every 2 units it goes across. Answer B suggests that the slope is 1/2, meaning that the line rises 1 unit for every 2 units that it goes across. If we look at the graph, let's say at the point (0,3), the next closest point is 3 units up and 2 units across, which lets us know that the slope is positive 3/2.
Therefore, your answer is A. y = 3/2x + 3 (which is confirmed by the point we recognized, (0,3), which is the y-intercept of the equation).
Hope this helps!
The answer is 20%.
Step 1: Subtract the measured distance and the actual distance to calculate the error.
Step 2: Divide the given value by the actual distance and convert it into the percentage.
the actual distance is 612 ft
the measured distance is 735 ft
Step 1: 735 ft - 612 ft = 123 ft
Step 2: 123 ft / 612 ft = 0.20 = 20/100 = 20%
We first find the zeros of the function , the zeros of the function are those at which points the graph of the function crosses or touches the x axis
here we can see in the graph that graph crosses the x axis at two points , 1 and 7
So the zeros of the function are
x=1 and x=7
It means the factor are
(x-1) and (x-7)
So the factorization is given by
(x-1)(x-7)
9514 1404 393
Answer:
y = 3x
Step-by-step explanation:
A proportional relation has the equation ...
y = kx
To write the desired equation, you need to know the value of k. That can be found from the given information:
for x = 2, y = 6
6 = k·2
3 = k . . . . divide by 2
Now, we know the equation can be written ...
y = 3x
We know that:
Cost (Cranberry Juice): 6.3 per quart
Cost (Apple Juice): 3.6 per quart
Quantity (Apple Juice): 4 quarts
Quantity (Cranberry Juice): q quarts
Further we know that Terrence wants the cost of the juice to be 4.5 per quart
Hence Total Cost = Cost per quart × Total Number of quarts = (Cost per quart for Apple Juice × Total Number of Apple Juice Quarts) + (Cost per quart for Cranberry Juice × Total Number of Cranberry Juice Quarts)
⇒ Total Cost = 4.5 × (q+4) = 6.3 × q + 3.6 × 4
⇒ 4.5(q+4) = 6.3q + 14.4, which matches with option D
Hence, the correct option is D
