Answer:it will take the two plants 6 weeks before the heights are the same
Step-by-step explanation:
Jill planted two flowers in her garden.
The first flower is 2 inches tall, and it is growing 2.25 inches each week. Since the growth rate is in an arithmetic progression, we will apply the formula for finding the nth term of the series
Tn = a + (n - 1)d
Tn = the nth height of the first flower
a = the initial height of the first flower
d = the common difference in height of the first flower weekly
n = number of weeks
From the information given,
For the first flower,
a = 2
d = 2.25
Tn ?
n ?
Tn = 2 + (n - 1)2.25
For the second flower,
a = 5.75
d = 1.5
Tn ?
n ?
Tn = 5.75 + (n - 1)1.5
To determine the number of weeks that it will take until the two plants are the same height, we would equate Tn for both flowers. It becomes
2 + (n - 1)2.25 = 5.75 + (n - 1)1.5
2 + 2.25n - 2.25 = 5.75 + 1.5n - 1.5
Collecting like terms
2.25n - 1.5n = 5.75 - 1.5 - 2 + 2.25
0.75n = 4.5
n = 4.5/0.75
n = 6 weeks
For part a x=0 because anything to the power of 0 is 1
For part b any number could be x, because 7^0 is one and 1 to the power of anything will be 1
Hope this helps!
Start at 0 and move to point P. To do this, we simply move left 1/8 of a unit. Similarly, we move 1/8 of a unit to go from 0 to point Q
So the distance from P to 0 is the same as the distance from Q to 0.
Therefore, the absolute values are the same
Answer: Choice A) Jay is correct because each point is 1/8 a unit away from 0
Before we start, find the LCM of 9, 5, and 5, which is 1. The least common multiple for the x is x^3, because it is the smallest exponent. The smallest multiple for y is 0, because the last factor doesn't even have y. For z, it is z^2. So your answer is 1x^3z^2, or just x^3,z^2.
