X + y = 13......x = 13 - y
2x - 3y = 1
2(13 - y) - 3y = 1
26 - 2y - 3y = 1
-2y - 3y = 1 - 26
-5y = -25
y = -25/-5
y = 5
x + y = 13
x + 5 = 13
x = 13 - 5
x = 8
<span>so, x = 8 and y = 5</span>
Theres not really any way to tell because the cost per widget is highest when making three, lowest when making 7, but then increases when making 12. If the cost didnt rise when making 12 and instead followed the trend of the more widgets you make, the cheaper it is per widget
Answer:
(b) 360 degrees
Step-by-step explanation:
Required
The central angle
The central 
of a circle is 
. This implies that the central of the pie chart is also , because a pie chart is always in 
of a 
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:
28
Step-by-step explanation:
KARLEE HAS 4 PENCIL PACKS.
<h3>1 PENCIL = 1/7 of pack.</h3>
∴ 1 pack has 1/7 multiplied by X.
X/7 = 1, so X is 7.
AND THEREFORE 4 PACKS CONTAIN 7*4 = 28
