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3 years ago

Maximize Q=3xy^2, where x and y are positive numbers such that x+y^2=2

1 answer:

6 0

Sub x = 2-y^2 to Q, we get:
Q = 3(2-y^2)*y^2
let y^2 = k
Q = 3(2-k)k = 3(2k-k^2)
2k-k^2 has a max when k = 1
Then y^2 = 1 -> y = 1 or -1

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Please help!

In-s [12.5K]

Answer: B

Explanation: an isosceles triangle has 2 sides that are the same, so if the base angles are both 34° then you can multiply that by 2 to get 68°. After that you know that you're still missing one of the angles so that missing angle is x. The equation you can set up to solve for x is the following: 68° + x° = 180°

Hope this helped! :)

8 0

2 years ago

Three angles of a quadrilateral are 75,120, 90,then the fourth angle..

Roman55 [17]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Geometry

Sum of Angles in a Quadrilateral: 360

Step-by-step explanation:

Step 1: Set up

75 + 120 + 90 + ∠4 = 360

Step 2: Solve

Add: 285 + ∠4 = 360
[Subtraction Property of Equality] Subtract 285 on both sides: ∠4 = 75

5 0

2 years ago

3x-7y=14

Mademuasel [1]

Answer:

A. $\frac{3}{7}$

Step-by-step explanation:

The given equation is

$3x-7y=14$

We solve for y by subtracting 3x from both sides to obtain;

$-7y=14-3x$

We now divide through by -7 to get;

$y=\frac{-3}{-7}x+\frac{14}{-7}$

This simplifies to;

$y=\frac{3}{7}x-2$

This equation is now in the form y=mx +c, where $m=\frac{3}{7}$ is the slope.

4 0

2 years ago

How do you measure the perimeter of a shape

Advocard [28]

Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle's outline, including the two widthwise borders and the two lengthwise borders.

To determine the perimeter of a shape, therefore, you add together all the dimensions that make up the shape's outer edge. Being able to find the perimeter of a shape has many applications in the real world. Say, for example, that you wanted to build a fence around your backyard. In order to purchase materials, you need to know how much fencing you'll need, and to determine that you have to figure out the perimeter of the area you want to fence in.

8 0

2 years ago

Which equation is equivalent to

marshall27 [118]

Answer:

C) 29x=5

reason:

first, distribute the parentheses
this will make your equation 8-20x=6-3+9x
simplify to get 8-20x=3+9x
add 20x to both sides to get 8=3+29x
subtract 3 from both sides to get 5=29x

3 0

2 years ago