Step 1: Find the slope
Every 3 magnets that you buy, you need to pay 1 more dollar. Therefore, if you have 9 magnets, the cost will be 3 dollars. Also, if you have 6 magnets, the cost will be 2 dollars. Finally, if you have 3 magnets, the cost will be 1 dollar. So... the correct options are Options B, E, F
Answer options: B,E,F
Answer:
x = 2
Step-by-step explanation:
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75
The data for linear pair are;
The domain are the values (input) on the x-axis which is the time
The range are the values input on the y-axis which is the height reached by the balloon
Part A
The interval of the domain during which the water balloon height is increasing is 0 ≤ x ≤ 2
Part B
The intervals of the domain the water balloon’s height stays the same are;
2 ≤ x ≤ 3 and 6 ≤ x ≤ 8
Part C
The water balloon height is decreasing at the following intervals;
At the interval 3 ≤ x ≤ 4
The rate of decrease = (20 ft. – 80 ft.)/(4 s – 3 s) = -20 ft./s.
At the interval 4 ≤ x ≤ 6
The rate of decrease = (0 ft. – 20 ft.)/(6 s – 4 s) = -10 ft./s
Therefore, the interval of the domain that the balloon’s height is decreasing the fastest is 3 ≤ x ≤ 4
Part D
According to Newton’s law of motion, provided that the no additional force is applied to the the balloon, at 10 seconds, the height of the water balloon is 0 ft. given that the height of the balloon is constantly decreasing from 3 seconds after being thrown off the roof, reaching a height of 0ft. at 6 seconds and maintaining that height up until 8 seconds.
By extending the graph further, the height of 0 ft. is obtained at 10 seconds after the balloon is thrown
Answer:
Gradient=¾
Step-by-step explanation:
Write the equation in slope-intercept form y=mx+c
3x-4y=24
-4y=24-3x
y=24/-4-3x/-4
y=-6+¾x
y=¾x-6
The gradient is therefore ¾
The y-intercept of the line occurs at(0,-6)
The x-intercept of the line occurs at(8,0)
Finding the midpoint of the two intercepts
{(x1+x2)/2,(y1+y2)/2}
M={0+8/2,(-6+0/2)}
M={8/2,-6/2}
M=(4,-3)
As you can see, the other information was not required to solve it
