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Molodets [167]
3 years ago
6

26 - 2(10 - 1) + (3 + 4 \times 11)" alt="26 - 2(10 - 1) + (3 + 4 \times 11)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

26-2\left(10-1\right)+\left(3+4\cdot 11\right)

26-(2)(9)+3+(4)(11)

26-18+3+(4)(11)

8+3+(4)(11)

8+3+44

8+47

55

"55 is correct answer".

Hope this helps!

Thanks!

-Charlie

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Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large
Debora [2.8K]

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

3 0
3 years ago
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lord [1]

Answer:

Step-by-step explanation:

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y= -2x+2

8.

y= -x-3

9.

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I'd put a point on (0, 15) , (1, 30), (2, 45) and etc....

Use a ruler to connect these points and use it to draw a straight line that hits all these points.

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Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?
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Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

1k=3

k=3 .........

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Step-by-step explanation:

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