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
<h2>
The "option d: 
+ 13x + 12" is a trinomial with a constant term.</h2>
Step-by-step explanation:
To check options:
a: x + 4y
Here, the coefficient of x = 1 and the coefficient of y = 4
b: 
Here, the coefficient of = 1
c: 
+ 3
+ 2y
Here, the coefficient of = 1, the coefficient of = 4 and the coefficient of y = 2
d: + 13x + 12
Here, the coefficient of = 1, the coefficient of x = 13 and
constant term = 12
Thus, the "option d) + 13x + 12" is a trinomial with a constant term.
Answer:
width = 8 feet and length = 29 feet
Step-by-step explanation:
perimeter of a rectangle P = 2(L + W)
width W = x
length L = 3x + 5
P = 74 feet
74 = 2(3x + 5 + x)
37 = 3x + 5 + x
37 = 4x + 5
4x = 37 -5
4x = 32
x = 8
W = 8 feet
Answer:
d=20
Step-by-step explanation:
To find the distance between 2 points we use the distance formula
d = √(x2 - x1)²+(y2 - y1)²
The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).
Substitute the given points into the distance formula.
d = √(4 + 8)²+(10 +6)²
d = √144+252
d= √400
d = 20
Answer:
0.39
Step-by-step explanation:
39% can be written as 39.% to emphasize that the decimal is to the right of the last digit in a whole number. When converting from percent to decimal, you divide by 100 which has the same effect as moving the decimal two places to the left. Therefore, 39.% becomes 0.39.
