Miss McIntosh leaves a $6.75 tip for her waiter. If her tip was 20% of the cost of her meal, what was the cost of her meal?

2x^2+y^2=8xy find dy/dx

miskamm [114]

Answer:

2(x-2y)/(4x-y) = dy/dx

Step-by-step explanation:

2x^2+y^2=8xy

Take the derivative of each term, remembering that we take the 8xy as derivative by parts)

2 * 2x dx + *2y dy = 8 ( x dy + dx *y)

4x dx +2y dy = 8x dy + 8y dx

Subtract 2y dy from each side

4x dx +2y dy -4y dy = 8x dy - 2y dy + 8y dx

4x dx = 8x dy - 2y dy + 8y dx

Subtract 8y dx from each side

4x dx -8y dx = 8x dy - 2y dy + 8y dx-8y dx

4x dx -8y dx = 8x dy - 2y dy

(4x-8y) dx = (8x-2y) dy

Factor out a 4 from the left side and a 2 from the right side

4(x-2y) dx = 2( 4x-y) dy

Cancel a 2

2(x-2y) dx = ( 4x-y) dy

Divide each side by (4x-y)

2(x-2y)/(4x-y) dx = ( 4x-y)/(4x-y) dy

2(x-2y)/(4x-y) dx = dy

Divide by dx

2(x-2y)/(4x-y) dx/dx = dy/dx

2(x-2y)/(4x-y) = dy/dx

7 0

3 years ago

how do the values compare ? order the values from greatest to least 3/4 , - 1 3/4 , -1 1/4, - 2 1/4, 2 1/4, 1 1/4

natali 33 [55]

Answer:

The order of the values from greatest to least are as

$\frac{21}{4} > \frac{11}{4} > \frac{3}{4} > \frac{-11}{4} > \frac{-13}{4} > \frac{-21}{4}$

Step-by-step explanation:

Negative number goes on decreasing in this way as -1,-2,-3,-4,-5... and so on.

So,-11 > -13 > -21

Here the denominator is same and the numerator is in decreasing order i.e greatest to the least that is 21 > 11 > 3 > -11 > -13 >-21 .Therefore, the order is

$\frac{21}{4} > \frac{11}{4} > \frac{3}{4} > \frac{-11}{4} > \frac{-13}{4} > \frac{-21}{4}$

6 0

3 years ago

If a=-3 and zeros are 4,-7 <br> What would be the equation pf the parabola

erastovalidia [21]

Answer: -3x²-9x+84

Step-by-step explanation:

Let the zeros be r1 and R2

The equation of a parabola going through those two zeros is

y=a(x−r1)(x−r2)

4 0

3 years ago

Estimate the following quantities without using a calculator. Then find a more precise result, using a calculator if necessary.

zubka84 [21]

Explanation:

a. It is so easy to double a number that no approximation is necessary.

31,000 × 200 = 3.1×10⁴ × 2×10² = 6.2×10⁶ exactly

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b. 6.2×10³ × 5.2×10⁶ ≈ 6×5×10⁹ = 3×10¹⁰ approximately

The approximation can be refined a bit by taking the ".2" into account:

6.2×10³ × 5.2×10⁶ ≈ (6×5 + .2×(6+5))×10⁹

= 32.2×10⁹ = 3.22×10¹⁰ approximately

Actual product: 3.224×10¹⁰.

For most purposes, the approximation is an adequate approximation, as it it within 10% of the actual value.

__

c. 9×10⁶ -2.3×10⁴ ≈ 9×10⁶ approximately

A better approximation is to actually subtract an approximation of the smaller number:

9×10⁶ -2.3×10⁴ ≈ (9 - 0.02)×10⁶ ≈ 8.98×10⁶ approximately

The actual value uses all of the digits of the smaller number:

9×10⁶ -2.3×10⁴ ≈ (9 - 0.023)×10⁶ = 8.977×10⁶ exactly

As in part B, either approximation is adequate for most purposes, as the difference from the actual value is less than .3%.

_____

The accuracy required of an approximation, hence the work you expend improving accuracy, should depend on the need in the final application of the number. Often, approximations are used for budget or resource planning purposes where some "slop" is allowed or even expected.

They can also be used in engineering applications, where the error needs to be on the side of more safety (rather than less).

7 0

3 years ago

What is the perimeter

Mademuasel [1]

Good morning ☕️

Answer:

Perimeter = 36 cm

Step-by-step explanation:

Firstly, Check the attached picture

perimeter = 10 + 10 + 8 + 8

= 20 + 16

= 36

:)

5 0

3 years ago