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Rina8888 [55]
3 years ago
8

Y = x - 6 5x - 2y = -30

Mathematics
2 answers:
lubasha [3.4K]3 years ago
7 0

Answer:

x=-14, y=-20

Step-by-step explanation:

UkoKoshka [18]3 years ago
5 0

Answer:

(-14,-20)

Step-by-step explanation:

hope it helps!

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What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
Help with segment relationships in circles...picture attached.
Reika [66]
The answer: (D)

Explorer acc nss as time yyy has a new one in the middle school in the school and is the junior high junior in junior high junior college
6 0
3 years ago
Please help!!!! I’m unsure of the answers
igomit [66]

Answer:

table:

.1, .25, .35, .2, .1

p(x=4) = .1

p(x<2) = .35

p(3≤x≤4)= .55

1.95, 1.12

Step-by-step explanation:

this is kind of hard to read, but i think i've got it

mean:

0*.1+1*.25+2*.35+3*.2+4*.1= 1.95

The second moment:

0²*.1+1²*.25+2²*.35+3²*.2+4²*.1= 5.05

the variance is the second moment minus the first moment squared (first moment is the mean) and then the standard deviation is the square root of the mean

5.05-1.95²= 1.2475 √1.2475= 1.1169 or 1.12

3 0
3 years ago
I need the answer please
photoshop1234 [79]
It would first be 0.7 and then 1.1
4 0
3 years ago
Read 2 more answers
Kyle earns a fixed weekly salary of $200 plus a 10% commission on his sales that week. The total amount of Kyle's paycheck (y do
Arlecino [84]

Answer:

D. y= 200+ 0.1x

Step-by-step explanation:

Given data

Fixed Salary= $200

Commission= 10%

weekly sales = x

Hence the expression for the total amount he earns is given as

y= 200+ 0.1x

3 0
3 years ago
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