Answer:
a = 3, b = 1, c = - 3
Step-by-step explanation:
Substitute n = 1, 2, 3 into the n th term
a + b + c = 1 → (1)
4a + 2b + c = 11 → (2)
9a + 3b + c = 27 → (3)
Subtract (1) from (2) term by term to eliminate c
Subtract (2) from (3) term by term to eliminate c
3a + b = 10 → (4)
5a + b = 16 → (5)
Subtract (4) from (5) term by term to eliminate b
2a = 6 ( divide both sides by 2 )
a = 3
Substitute a = 3 into (4) and evaluate for b
3(3) + b = 10
9 + b = 10 ( subtract 9 from both sides )
b = 1
Substitute a = 3, b = 1 into (1) and evaluate for c
3 + 1 + c = 1
4 + c = 1 ( subtract 4 from both sides )
c = - 3
Then a = 3, b = 1 and c = - 3
Answer:
solution:
x = pounds of cashews = 20
y = pounds of peanuts = 70
Step-by-step explanation:
x = pounds of cashews
y = pounds of peanuts
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4.75x + 2.50y = 3.00*90
x + y = 90
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put the system of linear equations into standard form
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4.75x + 2.50y = 270
x + y = 90
Answer:
It would take Brennan 4 track practice runs.
Step-by-step explanation:
He has already run 16 miles and needs to run 28 in total. If we are counting the 16 in the 28 miles, he would need to run only 12 more to reach his goal. And if he runs 3 miles a run, it would take him about 4 runs to finish his 28-mile goal.
(28-16=12 and 12/3=4)
Answer:3600
Explanation:I’ve done this question before!
Answer:
-49,152
Step-by-step explanation:
Multiply everything by 4 until yo get to the 8 term.
4 is -192
5 is -768
6 is -3,072
7 is -12,228
8 is -49,152