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3 years ago

Which of the following correctly identifies the set of outputs?

Mathematics

1 answer:

ElenaW [278]3 years ago

5 0

C is the correct answer

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Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10 Given ⇒ 2(x − 4) + 6x = 9x − 10 Step 1 ⇒ 2x − 8 +

Gre4nikov [31]

Answer:

Step 1

Step-by-step explanation:

You distributed the 2 in 2(x-4) to get 2x-8

3 0

3 years ago

3. Rectangle J is 6 feet wide and 9 feet long.

Furkat [3]

Answer:

No it's not!

Step-by-step explanation:

because the length (long) of J and K are totally different whereas the breadth(width) of J and K is also different which does make similar in sense

8 0

3 years ago

Help please i need ASAP

butalik [34]

Answer:

Both G and H are true

Step-by-step explanation:

8 0

3 years ago

A teacher asked the class to write an expression that Which of these expressions have an estimated

valkas [14]

Answer:

9.7 x 2.84 and 6.25 x 4.76

Step-by-step explanation:

they are the only two that get close to 30 without getting over it

6 0

3 years ago

Read 2 more answers

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