All categories

3 years ago

If 2x + y = 12 and x + 2y = -6, then find the value of 2x + 2y

1 answer:

3 0

2x + y = 12
2x = 12 - y

x + 2y = -6
2y = -6 - x

2x + 2y
12 - y + (-6) - x
12 + (- 6) - y - x
12 - 6 - y - x
6 - y - x

Answer: - x - y + 6

You might be interested in

A pencil costs $0.60 plus sales tax. After sales tax the pencil costs $0.63. What is the sales tax rate?

olasank [31]

Answer:

Step-by-step explanation:

4 0

3 years ago

A company has found that the relationship between the price p and the demand x for a particular product is given approximately b

ollegr [7]

We know that the profit from an item is the sale price minus the cost price. Thus,
1269 - 0.2x² - 830 - 398x
P(x) = -0.2x² - 398x + 439
Local maxima are located at the points where the first derivative of a function are 0
P'(x) = -0.4x - 398
398 = -0.4x
x = -995
There is only one maximum so the average value is -995

7 0

3 years ago

Plz help ZOOM IN TO SEE IT CLEAR

MaRussiya [10]

The answer to the question is 1/5^3

5^5/5^8= 1/5^(8-5)= 1/5^3

8 0

3 years ago

Which of the following is the graph of y = sin(0.5x)? <br><br><br>D. Edge 2021 :)

polet [3.4K]

Answer:

You did not include the graphs, but I can explain how the graph is and so you can recognize it.

1) for x = 0, y = sin(0) = 0, so the origin (0,0) is part of the graph.

2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.

3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π

That means that the values repeat every 4π interval (which is the same that 720°)

4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).

That means that the function crosses the x-axis at

..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...

5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).

Now you have plenty information to identify the graph.

I also include a graph of the function in the attached pdf file.

Step-by-step explanation:

Download pdf

3 0

3 years ago

The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. I

Elanso [62]

Answer:

$NK \approx 7.001$ , $MK = 2$ , $MF \approx 7.001$ , $A_{AMNFD} = 49.007$

Step-by-step explanation:

According to the statement, we find the following inputs:

$\angle MDK = \angle DMF = 45^{\circ}$ (Due to the condition of isosceles trapezoid)

$MD = 9$

$NF = 5$

Given than longer base and shorter base are parallel to each other, we conclude that:

$\angle KND = 180^{\circ} -\angle NKD - \angle KDN$

$\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}$

$\angle KND = 45^{\circ}$

$\angle FND = 90^{\circ}-\angle KND$

$\angle FND = 45^{\circ}$ (By definition of complementary angles)

$\angle FND = \angle NFM = 45^{\circ}$ (Due to the condition of isosceles trapezoid)

$\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}$

$\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}$ (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)