<h3>
Answer: -10 and -40</h3>
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Explanation:
a = 200 = first term
d = -30 = common difference
Tn = nth term
Tn = a + d(n-1)
Tn = 200 + (-30)(n-1)
Tn = 200 - 30n + 30
Tn = -30n + 230
Set Tn less than 0 and isolate n
Tn < 0
-30n + 230 < 0
230 < 30n
30n > 230
n > 230/30
n > 7.667 approximately
Rounding up to the nearest whole number gets us
So Tn starts to turn negative when n = 8
We can see that,
Tn = -30n + 230
T7 = -30*7 + 230
T7 = 20
and
Tn = -30n + 230
T8 = -30*8 + 230
T8 = -10 is the 8th term
and lastly
Tn = -30n + 230
T9 = -30*9 + 230
T9 = -40 is the ninth term
Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.
Answer:
a) The y-intercept is 160. It represents the initial distance Jayden was from his home.
b) The x-intercept is 4. It represents the amount of time taken for Jayden to reach his home.
Step-by-step explanation:
The y-intercept can be found by looking at the value of y when x=0. When x=0, y= 160. Since the x-axis is the amount of time in hours, x=0 would mean the initial time. The x-axis is the number of miles from Jayden's home thus, Jayden was 160 miles away from his home when x=0 hours.
The x-intercept can be found by looking at the x value when y=0. When y=0, x=4. This means that it took Jayden 4 hours to reach home or 4 hours to travel 160miles to his house.
Answer:
the formula is base × height ÷ 2, 15×6=90. 90÷2=45, 45 is the answer, she forgot to divide it by 2
Step-by-step explanation:
I hope this helps..
Answer:
Hello!!
If a water bottle contains 500mL of water and your goal is to drink 4L of water each day then the water bottle is of your daily goal.
Step-by-step explanation:
500mL = 0.5L
1000mL = 1L
1500mL = 1.5L
2000mL = 2L
2500mL = 2.5L
3000mL = 3L
3500mL = 3.5L
4000mL = 4L
Hope this helps!!