Answer:
D
Step-by-step explanation:
Answer:
During the interval 0 < x < 2, height of the water balloon is increasing.
Step-by-step explanation:
Graph of the linear function represents the height f(x) of a balloon over the time 'x' seconds.
There are three intervals of the time in which height of the balloon has been given.
1). In the interval of 0 < x ≤ 2, height of the water balloon is increasing (Since slope of the line is positive or the line is slanting upwards).
2). In the interval 2 < x ≤ 3, height of the water balloon is constant (Since slope of the line is zero).
3). In the interval 3 < x ≤ 4, height of the water balloon is decreasing faster. (Since the given line is slanting downwards).
4). In the interval 4 < x < 6, height of the water balloon is decreasing (Since the given line in this interval is slanting downwards).
Therefore, during 0 < x < 2, height of the water balloon is increasing.
Answer:
(0,6) and (-2, 0)
Step-by-step explanation:
All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.
In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).
Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.
using this information, we can substitute y in the equation with 0 becoming
0 = 6 + 3x
now we can solve for x.
0 -6 = 3x
-6 / 3 = x
x = -2
the coordinate is (-2, 0)
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<h3>Answer = -7</h3>
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<h3>Known</h3>
a = 13
U2 = 6
U3 = -1
U4 = -8
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<h3>Question</h3>
d = ..?
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<h3>Way to do </h3>
#since it gives a lot of number, i will just pick one of the nth term, ill choose U2
Un = a + (n-1)d
U2 = 13 + (2-1)d
6 = 13 + d
6 - 13 = d
d = -7
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<h3>Note</h3>
• The formula of arithmetic sequence
<h2>Un = a + (n-1)d</h2>
n = nth term
a = first term
d = common difference
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