Answer:
6 = −4x + y
−5x − y = 21
Answer: (-3, -6)
2x + y = 20 6x – 5y = 12
Answer:
(7 , 6)
Step-by-step explanation:
Solve the system of equations by substitution.
6 = −4x + y --> y = 4x + 6
−5x − y = 21
Substitute y = 4x + 6 into −5x − y = 21
−5x − (4x + 6) = 21
-5x - 4x - 6 = 21
-9x = 27
x = - 3
y = 4(-3) + 6
y = -12 + 6
y = -6
(-3, -6)
Solve the system by the elimination method.
2x + y = 20
multiply the equation by (-3) ; 2x + y = 20 so
-6x - 3y = - 60
6x – 5y = 12
------------------add
-8y = - 48
y = 6
2x + y = 20
2x + 6 = 20
2x = 14
x = 7
(7 , 6)
Answer:
A. neither; 7, -20, 61
Step-by-step explanation:
The given terms do not have a common difference, so the sequence is not arithmetic.
The given terms do not have a common ratio, so the sequence is not geometric. (Any sequence with 0 as a term cannot be geometric.)
The sequence is <em>neither</em> arithmetic or geometric.
___
The first differences of the terms of this sequence are ...
-1, 1, -3
If we choose answer A (the only selection with "neither"), it suggests the next 3 terms are 7, -20, 61. These terms make the next differences be 9, -27, and 81. After the first term, the differences of the proposed sequence have a common ratio of -3. However, the first term needs to be 1/3 in order for that rule to be consistent for the whole sequence.
Answer:
86 liters
Step-by-step explanation:
22.6 gal × (3.8 L)/gal = 85.88 ≅86 L
<span>slope of -1/2 and a y-intercept of 4, so m = -1/2 and b = 4
using y = mx + b
y = -1/2x + 4
answer is </span><span>B. y= -1/2x +4</span>
Answer:
(x+y+z)(a+3)
Step-by-step explanation:
ax+ay+az+3x+3y+3z
=(ax+ay+az)+(3x+3y+3z)
=a(x+y+z)+3(x+y+z)
=(x+y+z)(a+3)