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s2008m [1.1K]
3 years ago
14

What are the domain and range of the function f(x)=3 over 4 x+5

Mathematics
1 answer:
Simora [160]3 years ago
5 0

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step explanation:

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Two rectangular lawns are similar shapes.
Reil [10]

Answer:

The answer to your question is Area = 37500 ft²

Step-by-step explanation:

Data

lawn 1                                       lawn 2

width = 550 ft                          width = 250 ft

Area = 181500 ft²                     Area = ?

Process

1.- Find the length of lawn 1

Area = length x width

-solve for length

length = Area/width

-Substitution

length = 181 500 ft²/ 550

-result

length = 330 ft

2.- Find the length of lawn 1 using ratios and  proportions

                     550 : 330 :: 250 : x

                      x = (250 x 330) / 550

                      x = 150 ft

3.- Find the area of lawn 2

-Substitution

Area = 250 x 150

-Result

Area = 37500 ft²

6 0
4 years ago
What solution is 33x-33=33x+25?
Katarina [22]
Step by step equation
7 0
3 years ago
Read 2 more answers
A semi-circle with a diameter of 4 is rotated around its diameter one full rotation, what is the volume of the solid generated b
iris [78.8K]

The volume of the solid generated by the revolution is 33.5 cubic units.

<u>Step-by-step explanation:</u>

It is given that, the diameter of the semi-circle is 4 and it is rotated to one full rotation around its diameter.

A solid generated when a semicircle is being rotated about its diameter is called a "SPHERE".

Therefore, the volume of the solid generated by the revolution is the volume of the sphere.

The formula for volume of the sphere is given by,

Volume of sphere = (4/3)πr³

where, r is the radius and π has the default value of 3.14

Here, the given diameter is 4.

To find the radius = diameter/2

radius = 4/2 = 2.

Now, to calculate volume of sphere substitute r=2 and π=3.14

volume of the sphere = (4/3)×3.14×2³

⇒ (4/3)×3.14×8

⇒ 100.48 / 3

⇒ 33.49 (approximately 33.5)

Therefore, the volume of the solid generated by the revolution is 33.5 cubic units.

8 0
3 years ago
What is 56 divided by 19
tresset_1 [31]
2.947368421 when dividing you want to make sure te numbers are divisible <span />
5 0
4 years ago
Read 2 more answers
Solve the quadratic equation: 3x2 + x - 5 = 0
Yuri [45]

Hey there!

3x^2 + x -5 = 0

This equation is in standard form, which is ax^2+bx+c=0.

We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.

a = 3, b = 1, c = -5

Let's plug these values into the quadratic equation:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}

Multiply 4(3)(-5) together and multiply 2(3). Square 1.

x=\frac{-1\pm\sqrt{1+60} }{6}

Add 1 and 60.

x=\frac{-1\pm\sqrt{61} }{6}

This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.

Hope this helps!

8 0
3 years ago
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