The domain of: x+3 under square root

Mathematics

1 answer:

Gennadij [26K]3 years ago

3 0

Answer:

All real numbers except where x<-3

Step-by-step explanation:

Values of x that make negatives under even radicals are not part of the domain. Any value of x that is less than -3 would make a negative under the square root, so those are not included in the domain.

You might be interested in

Look at the image below.<br><br> Find the area of the parallelogram.

Daniel [21]

Answer:

5 x 8 = 40

Step-by-step explanation:

the formula for the area of a parallelogram is a = bh. Its the same as a square or rectangle. So you just have to multiply the lenght (5) and width (8) which equals 40.

Hope this help have a great day!

5 0

2 years ago

A hemispherical tank is filled with water and has a diameter of 12 feet. If water weighs 62.4 pounds per cubic foot, what is the

Reil [10]

Answer:

The total weight = 1286 × 62.4 = 80246 pounds.

Step-by-step explanation:

The formula of the volume of the sphere is

V = 4/3×π×r³

Given

d = 17 feet

d = 2r

r = d/2 = 17/2 = 8.5 feet

V = 4/3×π×r³

Since we need half of the volume as it is a hemispherical tank.

= 1286 ft³

Given that the weighs 62.4 pounds per cubic foot

Thus, the total weight = 1286 × 62.4 = 80246 pounds.

6 0

3 years ago

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 9xy3 â€"" 4y4 â€"" 10x2y

Aleksandr-060686 [28]

The first option is correct here: $-13y^4 + 3x^4 - 8x^2y^2 + x^3y + 9x y^3$

<h3>Given the polynomial:</h3>

$9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4$

<h3 /><h3>Simplification:</h3>

Combine the like terms together as shown below:

$9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4\\= (-4y^4 - 9y^4) + 9xy^3 + (-10x^2y^2 + 2x^2y^2) +x^3y +3x^4\\= -13y^4 +9xy^3 -8x^2y^2 + x^3y + 3x^4\\= -13y^4 +3x^4 -8x^2y^2 + x^3y + 9xy^3$