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Musya8 [376]
1 year ago
12

Solve for x & y solve x = 3 + yy = -2x + 9

Mathematics
1 answer:
sergey [27]1 year ago
6 0

x = 3 + y Eqn(1)

y = -2x + 9​ Eqn(2)

Let us solve the system of equations with the substitution method

x - 3 = y (Subtracting 3 from both sides of the Eqn(1))

Replacing y = x - 3 in Eqn (2), we have:

x - 3 = -2x + 9

x = -2x + 9 + 3 (Adding 3 to both sides of the equation)

x + 2x = 9 + 3 (Adding 2x to both sides of the equation)

3x = 12 ( Adding like terms)

x = 12/3 (Dividing by 3 on both sides of the equation)

x = 4

Replacing x=4 in Eqn(1), we have:

4 = 3 + y

4 - 3 = y (Subtracting 3 from both sides of the equation)

y=1

The answers are:

x= 4 and y=1

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2 years ago
Which is the graph of the function f(x) = -√x?
Virty [35]

Answer:

Step-by-step explanation:

The last (fourth) graph is that of the parent function y = √x.  The negative sign in front of √x leads to reflection of this parent function graph in the x-axis.  Thus, the correct graph of f(x) = -√x is the first one.

7 0
3 years ago
The circumference is 28.26, what is the radius and area?
Shalnov [3]

Answer:

The radius is 4.5, while the area is equaled to 63.585

Step-by-step explanation:

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Formula of Area of Circle: radius squared times pie (3.14)

Divide 28.26 by 2 and by pie (3.14) to get the radius. You should get 4.5.

Square 4.5 (the radius), which should equal to 20.25. Then, multiply it by pie (3.14), which is equaled to 63.585. This is the area of the circle.

7 0
2 years ago
Tina designed an electric skateboard that has a speed of 4 miles per hour. In one hour it travels 4 miles, and in 2 hours it tra
Feliz [49]

We have been given that Tina designed an electric skateboard that has a speed of 4 miles per hour. Further we are given that in one hour it travels 4 miles, and in 2 hours it travels 8 miles.

We know that speed of any object can be found at any time, irrespective of it being a complete hour or a fractional hour. Therefore, speed of the electric skateboard is an example of continuous data.

The that in one hour it travels 4 miles, and in 2 hours it travels 8 miles have been given so that someone can easily confuse the speed of electric skateboard as a discrete data, but in actual speed of skateboard is a continuous data.

8 0
3 years ago
A new experimental tank is in the shape of a cone, cylinder and sphere. All of the tanks have a volume of 10,000 cm3 . One condi
Vika [28.1K]

Answer:

100/π cm

Step-by-step explanation:

Volume of a cylinder = πr²h

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The height of the cylinder in terms of π = 100/π cm

8 0
3 years ago
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