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2 years ago

Which answer best describes the solution to the equation

Mathematics

2 answers:

tatiyna2 years ago

8 0

5z+4=4+5z has an indefinite amount of solutions.

SCORPION-xisa [38]2 years ago

3 0

4 + 5z = 5z + 4 is an identity and is true for all values of z.

The equation has, therefore, infinitely many solutions.

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A.(x, y) (x -1, y + 4)

attashe74 [19]

The answer is D i believe

8 0

2 years ago

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Please help will mark brainliest

Lynna [10]

Z^5/8

You can tell this because exponents get added together when multiplying and the fact that the fraction goes down by a multiple of 1/8.

6 0

2 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

2 years ago

What’s 8x8 <br> This is to test how the app works not serious

lisov135 [29]

Answer:

Step-by-step explanation:

5 0

3 years ago

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Find the measure of the missing angle using the triangle angle sum theorem

Greeley [361]

Answer:

m∠60

Step-by-step explanation:

30 + 90 = 120

180-120=60

7 0

3 years ago

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