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kupik [55]
3 years ago
14

What is the domain of the function y = 2 StartRoot x minus 5 EndRoot?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
4 0

Answer:

A. x greater-than-or-equal-to negative 5

Juli2301 [7.4K]3 years ago
3 0

Answer:

The domain of the function should be:

'x greater than or equal to negative -5'.

Hence, option A is true.

Step-by-step explanation:

Given the expression

2\sqrt{x-5}

The domain of a function is the set of input or arguments for which the function is real and defined

We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,

i.e.

x-5 ≥ 0

x ≥ 5

In other words, the domain of the function should be:

'x greater than or equal to negative -5'.

Therefore, the domain of the function:

x ≥ 5

\mathrm{Domain\:of\:}\:2\sqrt{x-5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:5\:\\ \:\mathrm{Interval\:Notation:}&\:[5,\:\infty \:)\end{bmatrix}

Hence, option A is true.

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
uysha [10]

Answer:

Shane could have collected more than 911 Cans

Step-by-step explanation:

We are asked to write an inequality to find the number of cans, S that Shane could have collected:

Cans collected by Shane and Abha > 2000

S + A > 2000

Abha collected 178 more cans than Shane did.

A  = 178 + S

Put value of A in the above inequality

S + 178 + S > 2000

2S + 178 > 2000

2S > 2000 - 178

2S > 1822

S > 911

6 0
3 years ago
Write the equation of a line with slope -4/3 and passes through the y intercept (3,5)
Musya8 [376]
M= -4/3
y=mx+b
y=(-4/3)x+b
5=(-4/3)*3 +b
b= 9
y=(-4/3)x+9
6 0
3 years ago
How do you make a parabola?
sleet_krkn [62]
Make an equation where

Y =
(any number not zero) times X² + (any number at all) times X + (any number at all)

The graph of that equation is guaranteed to be a parabola.
8 0
3 years ago
PLS HELPPPP!!!!! Not sure what to do:/
const2013 [10]

Answer:

a. Triangular prism , b. 157.5cm squared , c. 369cm ,d. 405 cm cubic

Step-by-step explanation:

b. I assume lateral meabs the area which is visible ( exclude dotted lines)

c. sum of areas of all 5 shapes used to make the triangular prism ( L×W ) + l×w +l×w + 1/2×bh +1/2×bh

d. volume = AREA OF CROSS SECTION(which is a triangle) ×LENGHTH or Height(6cm)

7 0
3 years ago
Find the solution to the system of equations!
Crazy boy [7]
The answer to the system of equations is x = 3, y = -2 and z = 5. 

In order to find this you can use elimination to create two equations with only x and y. First we will add equation one with equation 2 multiplied by 2. 

-x + 2y + 2z = 3
6x + 2y - 2z = 4
---------------------
5x + 4y = 7

Then  we can add equation 2 with equation 3. 

3x + y - z = 2
2x + y + z = 9
------------------
5x + 2y = 11

Now we can use these two equations together to solve for y. It will be easiest if we multiply the second one by -1. 

5x + 4y = 7
-5x - 2y = -11
------------------
2y = -4

And then we can solve for y. 

2y = -4
y = -2

With that answer we can go back to any equation with just y and x and solve for x. 

5x + 4y = 7
5x + 4(-2) = 7
5x - 8 = 7
5x = 15
x = 3

Now we can use x and y in any equation to find z. 

2x + y + z = 9
2(3) + (-2) + z = 9
6 - 2 + z = 9
4 + z = 9
z = 5
5 0
3 years ago
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