Answer:
81x+2
Step-by-step explanation:
2x+x=3x
3×3×3×3=81x
Answer:
B
Step-by-step explanation:
When you look at the model, you see that the bottom of the shape is square. So looking at the flat model, which one is thhe one with a square as a base. B does.
Answer:
Vertex: (-1/2, -25/4)
Focus: (-1/2, -6)
Axis of Symmetry: x=-1/2
Directrix: y=-13/2
Step-by-step explanation:
x = -2, -1, -1/2, 1, 2
y = -4, -6, -25/4, -4, 0
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>
Let the weights of the cashews and peanuts be c and p respectively. Then:
c + p = 10 lb.
The related cost equation is 5.80c + 2.20p = 3.64(c+p).
Because c + p = 10 lb, the previous equation is equivalent to:
5.80c + 2.20p = 3.64(10) = 36.40
Solving c + p for c, we get c = 10 - p. Then, the last equation becomes:
5.80(10-p) + 2.20p = 36.40, or 58 - 5.8p = 36.4. Solving for p:
-5.8p = 36.4 - 58, or -5.8p = -21.6. Finally, p = 3.72 lb.
Since c + p = 10 (lb), c = 10-3.72 (lb), or c = 6.28 lb.
He must make this 10-lb mixture as follows: 6.28 lb of cashews and 3.72 lb of peanuts.
