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tamaranim1 [39]
3 years ago
14

What is the rate of change in y per unit change in x for the function 30x+5y=15

Mathematics
1 answer:
ad-work [718]3 years ago
6 0

Step-by-step explanation:

To find the answer you have to put it into y=mx+b format.

This means that it will be 5y=-30x+15

So it will simplify to y=-6x+3

This means that:

If y=2

You substitute then…

2=-6x+3

So x would equal 1/6.

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Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
Can someone pls help me I really need help in here.. PLS…
dem82 [27]

Answer:

So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.

So for 3.25 and 3 1/2

3 1/2 is greater

3.25 < 3 1/2 (so it should look like this when the symbol on that side)

and for -4.5 and -4.05

-4.05 is greater.

-4.5 < -4.05  (so the symbol is also on that side.)

7 0
3 years ago
Formula for profit percentage?​
ruslelena [56]

Answer:

For instance, say you pay $8,000 for goods and sell them for $10,000. Your gross profit is $2,000. Divide this figure by the total revenue to get your gross profit margin: 0.2. Multiply this figure by 100 to get your gross profit margin percentage: 20 percent.

Step-by-step explanation:

7 0
3 years ago
Explain in your own words, what are reciprocals and when are they used?
photoshop1234 [79]
They are multiplicative inverses. For example, the reciprocal of 2/3 is 3/2. They are used when dividing fractions
4 0
3 years ago
Read 2 more answers
P(n)=2n^2-6n find p(4)
Igoryamba

let's solve for p(4) :

  • 2 {n}^{2}  - 6n

  • 2 \times (4) {}^{2}  - (6 \times 4)

  • (2 \times 16) - 24

  • 32 - 24

  • 8
4 0
2 years ago
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