About 55.8 (i suggest rounding up to 56) are packed in 480 seconds. just divide 480 by 8.6 to get the answer 55.8
Just plug in your x and solve like normal
-4< 4(1) - 8 < 12
-4< -4 < 12
now solve both sides by moving the -4 out by adding + 4 to all sides
0 < x < 16
when read this says 0 is less than X and X is less than positive 16.
the other 3 are solved the same.
Answer:
Step-by-step explanation:
(8x²-18x+10)/(x²+5)(x-3)
express the expression as a partial fraction:
(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +bx+c/x²+5
both denominator are equal , so require only work with the nominator
(8x²-18x+10)=(x²+5)A+(x-3)(bx+c)
8x²-18x+10= x²A+5A+bx²+cx-3bx-3c
combine like terms:
x²(A+b)+x(-3b+c)+5A-3c
(8x²-18x+10)
looking at the equation
A+b=8
-3b+c=-18
5A-3c=10
solve for A,b and c (system of equation)
A=2 , B=6, and C=0
substitute in the value of A, b and c
(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +(bx+c)/x²+5
(8x²-18x+10)/[(x^2+5)(x-3)] = 2/x-3 + (6x+0)/(x²+5)
(8x²-18x+10)/[(x^2+5)(x-3)] =
<h2>2/(x-3)+6x/x²+5</h2>
(4x+2)/[(x²+4)(x-2)]
(4x+2)/[(x²+4)(x-2)]= A/(x-2) + bx+c/(x²-2)
(4x+2)=a(x²-2)+(bx+c)(x-2)
follow the same step in the previous answer:
the answer is :
<h2>(4x+2)/[(x²+4)(x-2)]= 5/4/(x-2) + (3/2 -5x/4)/(x²+4)</h2>
Answer:
x = -7/11, y = -14/11
Step-by-step explanation:
2x = y ------- (1)
7y = -7+3x -------- (2)
from (1)
2x = y
y = 2x ------- (3)
substitute (3) into (2)
7y = -7+3x
7(2x) = -7+3x
14x = -7+3x
14x-3x = -7
11x = -7
x = -7/11
substitute x = -7/11 into (3)
y = 2x
y = 2(-7/11)
y = -14/11
x = -7/11, y = -14/11
