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skad [1K]
3 years ago
7

Samuel owns 270 comic books. He divided his comic books into two groups to store in boxes. The ratio of the groups appear below.

Bases on the ratio how many comic books are in each box?
group a the ratio is 4 how many comic books in this group?

group b the ratio is 5 how many comic books in this group?
Mathematics
1 answer:
Anna71 [15]3 years ago
6 0
The Answer Is 5.I Hope This Helps.
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(a)5%)Let fx, y) = x^4 + y^4 - 4xy + 1. and classify each critical point Find all critical points of fx,y) as a local minimum, l
lara31 [8.8K]

f(x,y)=x^4+y^4-4xy+1

has critical points wherever the partial derivatives vanish:

f_x=4x^3-4y=0\implies x^3=y

f_y=4y^3-4x=0\implies y^3=x

Then

x^3=y\implies x^9=x\implies x(x^8-1)=0\implies x=0\text{ or }x=\pm1

  • If x=0, then y=0; critical point at (0, 0)
  • If x=1, then y=1; critical point at (1, 1)
  • If x=-1, then y=-1; critical point at (-1, -1)

f(x,y) has Hessian matrix

H(x,y)=\begin{bmatrix}12x^2&-4\\-4&12y^2\end{bmatrix}

with determinant

\det H(x,y)=144x^2y^2-16

  • At (0, 0), the Hessian determinant is -16, which indicates a saddle point.
  • At (1, 1), the determinant is 128, and f_{xx}(1,1)=12, which indicates a local minimum.
  • At (-1, -1), the determinant is again 128, and f_{xx}(-1,-1)=12, which indicates another local minimum.
4 0
3 years ago
A bookstore has 15 isles each I’ll has 22 shells how many shells are in the bookstore
kvasek [131]
The bookstore has 330 shells
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If no grouping symbols or exponents are in an expression, then do
kotykmax [81]

Answer:

multiplication and division

Step-by-step explanation:

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3 years ago
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Simplify the expression.
notsponge [240]
The answer is 2k^2 - 7k - 4 because 2k x k is 2k^2 and 2k x (-4) is -8k and 1 x k is k and 1 x (-4) is -4. So then you would get 2k^2 - 8k + k - 4 which simplifies to 2k^2 - 7k - 4 which is your answer.
8 0
3 years ago
there are 77 students in the student council. The ratio of girls to boys is 7:4. How many girls are in the student council? What
madam [21]
Out of every 11 students 7 were girls. Set up the following proportion.
 
11/7 = 77/x Cross multiply
11x = 7*77
x = 7*77/11
x = 49

49 of the student council members were girls.
4 0
3 years ago
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