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3 years ago

The rate of change in y = 24x

Mathematics

1 answer:

Artyom0805 [142]3 years ago

5 0

Answer:

Step-by-step explanation:

Using the formula y = mx + b we can find the slope or rate of change. First we must convert it into the formula or equation we currently have which is y = 24x + 0.

24 = m

x = x

0 = b

m is always the rate of change or slope so by finding m we find the slope or rate of change.

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

3 years ago

Write and evaluate the expression. Then, complete the statements. A 1-column table with 5 rows. Column 1 is labeled Multiplicati

77julia77 [94]

Yuna ran three times as many kilometers so here expression should be 3k and the answer is 36.6

We have given that k = 12. 2

We have to find the expression

<h3>What is the writing and evaluating the expression?</h3>

Expressions are considered to be mathematical statements that have at least of two terms comprised of numbers or variables that should be linked. It could be of addition, subtraction, multiplication, or division.

Write the expression as 3k

Second, substitute 12.2 in for the variable, k.

Third, simplify by multiplying 3 and 12.2.

Therefore the answer is 36.6

Learn more about expression here:

brainly.com/question/723406

4 0

2 years ago

Help please I hate math

Hitman42 [59]

Answer:

Step-by-step explanation:

7 0

3 years ago

URGENT Two numbers have a sum of 2 and a difference of -16. What are the numbers?

Firlakuza [10]

Answer:

-7 and 9!

Step-by-step explanation:

To get to the sum of 2 you add -7 and 9.

To get to the diffrence of -16 you minus -7 and 9.

6 0

2 years ago

Read 2 more answers

Please answer this question.

Nastasia [14]

Answer:

2x - 5

Step-by-step explanation:

1/5(10x - 25)

Use the Distrubitve Property

1/5 * 10x = 2x

1/5 * 25 = 5

New equation is 2x - 5

4 0

3 years ago