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3 years ago

This is the question please solve this question

Mathematics

2 answers:

cupoosta [38]3 years ago

8 0

A+b=7 and ab=10 the answer is a-5 and b-2 5+2=7 and 5*2=10

joja [24]3 years ago

4 0

Answer:

a-5 and b-2 5+2=7 and 5*2=10

Step-by-step explanation:

a+b=7 and ab=10

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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

5 0

3 years ago

Please help me!! i have no clue what i am doing on this one.

Sonja [21]

Answer:

yr answer is G. 21

<h2>stay safe healthy and happy<u>.</u><u>.</u></h2>

8 0

3 years ago

Read 2 more answers

The area of this figure is ? square inches

Stolb23 [73]

Answer:

946 sq inches

Step-by-step explanation:

28*7=196

30*25=750

750+196=946 i think thats how you do it lol

(=^w^=)

6 0

3 years ago

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Jeans are reduced from 28.00 to 18.20 during a sale at a department store. What percentage was the original price reduced?

Natali [406]

Answer:

The original price was reduced 35%

Step-by-step explanation:

we know that

Jeans are reduced from $28.00 to $18.20

In this problem

The original price of 28.00 represent 100%

using proportion

Find out what percentage represent the difference between the original price and the new price

$\frac{28}{100}=\frac{28-18.20}{x}\\\\x=100(9.8)/28\\\\x=35\%$

therefore

The original price was reduced 35%

6 0

2 years ago

maria bought 7 boxes. a week later half of all her boxes were destroyed in a fire. there are now only 22 boxes left. with how ma

VashaNatasha [74]

Answer:

Step-by-step explanation:

x=22+7

x=29

8 0

3 years ago

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