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Morgarella [4.7K]
3 years ago
9

Which statement describes the graph of f(x) = [x]-2 on [0, 3)?

Mathematics
2 answers:
Wewaii [24]3 years ago
5 0

Answer:

A)

Step-by-step explanation:

Edg 2020

xeze [42]3 years ago
3 0

Answer:

A

Step-by-step explanation:

EDG 2021

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The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much
Y_Kistochka [10]

Answer:

x = ∛ 2*V/5  

y = ∛ 2*V/5

h  = V/ ∛ 4*V²/25

Step-by-step explanation:

Dimensions of the aquarium base is  x*y

We call c₁ cost per unit area of the sides, then cost per unit area of slate is equal 5c₁.

let call h the height of the aquarium then volume of the aquarium is:

V = x*y*h      where   h =  V / x*y

As the base is a rectangular one there are 2 sides x*h .  and 2 sides  y*h

According to this:

Ct (cost of aquarium )  = cost of the base  + cost of the sides

cₐ  ( cost of the base) = 5*c₁*x*y

c₆ (cost of the sides ) = c₁*2*x*h   +   c₁*2*y*h

C(t)  =  5*c₁*x*y +2* c₁*x* V/x*y  +  2* c₁*y* V/x*y    or

C(t)  =  5*c₁*x*y  + 2*c₁*V/y   *2*c₁* V/x

Taking partial derivatives en x and y we have:

C´(x)  =  5*c₁*y - 2*c₁*V/x²

C´(y)  =  5*c₁*x - 2*c₁*V/y²

C´(x)  = C´(y)        ⇒  5*c₁*y - 2*c₁*V/x²  =   5*c₁*x - 2*c₁*V/y²

or    5*y - 2*V/x²  =   5*x - 2*V/y²

(5*y*x² - 2*V)/x²  = ( 5*y²x - 2*V) /y²

(5*y*x² - 2*V)*y²  = ( 5*y²x - 2*V)*x²

5*y³*x² - 2*V*y²  =  5*y²x³  - 2*V*x²

5*y³*x² - 5*y²x³  =  2*V * ( y² - x²)

by symmetry  x =  y

Then using x = y  and plugging that value on the derivatives

C´(x) =  5*c₁*y - 2*c₁*V/x²

C´(x) =  5*c₁*x - 2*c₁*V/x²

C´(x) = 0          ⇒     5*c₁*x - 2*c₁*V/x²  = 0

5*x  - 2*V/x² = 0      ⇒  5*x³ - 2*V = 0   ⇒   5*x³  = 2*V  ⇒ x³ = 2*V/5

x = ∛ 2*V/5       and   y = ∛ 2*V/5    and   h  =  V/ x*y    h  = V/ ∛ 4*V²/25

7 0
3 years ago
There were a number of people at a conference. After 19 people went home, 23
Travka [436]
There were 42 people at the conference
5 0
2 years ago
Determine the coefficient matrix of the system of equations latex: 3x-2y = 7,\; x+4y=2. 3 x − 2 y = 7 , x + 4 y = 2. what is the
Amanda [17]

When put in matrix form, the coefficients of

... 3x -2y = 7

... x + 4y = 2


look like


\left[\begin{array}{cc}3&-2\\1&4\end{array}\right]


The determinant is 3×4 - 1×(-2) = 14.

4 0
3 years ago
BRAINLIEST WILL GET 50PTS!!! Please show work!!! Thank you :)
-BARSIC- [3]
The first one would be (2x)(7) and plus the other 75 it would be 738 with that in total of it c 5 3-15
8 0
3 years ago
H(x=-10x+6 find h(0)
gtnhenbr [62]

Answer:

h(0) = 6

Step-by-step explanation:

Plug x = 0 to find h(0)

h(0) = -10.0 + 6 = 6

3 0
3 years ago
Read 2 more answers
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