Answer: choice A) 7017
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Work Shown:
The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7
The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7
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The 1000th term corresponds to n = 1000
Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify
a_n = 24 + (n-1)*7
a_1000 = 24 + (1000-1)*7
a_1000 = 24 + (999)*7
a_1000 = 24 + 6993
a_1000 = 7017
Answer: C is correct, No solution
Step-by-step explanation:
Let’s simplify the second equation,
8x-4y=-20
We can divide the whole equation by 4...
8x/4-4y/4=-20/4
Which becomes....
2x-y=-5
Now let’s move things around to see if it’s the same equation as the one on top...
-y=-2x-5
y=2x+5
Now we need to solve the systems...
y=2x-5
y=2x+5
Since their slopes are both 2 and their y-intercepts are not identical, the answer is no solution. The two lines will continue on without ever crossing because they have the same slope.
Answer:
y=9%
Step-by-step explanation:
x=18%
y=9%
It is in a pattern like x=y+y
Answer:
Points she needs to earn on the next game = 14
Step-by-step explanation:
Martiza scores for six games were 11, 12,10,8,14, and 15.
(11+12+10+8+14+15+x)/7=12
(70+x)/7 = 12
Multiply both sides by 7
(70+x)/7 *7 = 12*7
70+x = 84
Combine the constants:
x=84-70
x = 14
Points she needs to earn on the next game = 14....
