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swat32
2 years ago
13

How to write a domain

Mathematics
1 answer:
Gre4nikov [31]2 years ago
7 0
The domain are all valid values for x (the independent variable) that can be used in an equation.

We have to look at any potential values of x which won't work. Easily put: in algebra, just look for values of x which cause either division by zero, or the square root of negative numbers.

A couple of examples: 
y=2x+4
You can insert any negative or positive value, or zero, for x and get a valid equation. Therefore the domain is the set of all real numbers. Answers are usually written as:
x: {R}, or simply 'all real numbers'.

what about y=2/(x-1)
In this equation, x appears in the denominator. If x-1=0, then division by zero would occur. 
Solve: x-1≠0
x≠1
In set notation:
x: (-∞,1)∪(1,∞)
Parentheses are next to the 1, as the domain comes up to 1, but does not include 1. 
Read left to right, the domain is "negative infinity to 1, exclusive, in union with 1 to positive infinity"
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How do we measure the height of mountain? Grade 6
sammy [17]

Answer:

measure the distance between two points on the ground and then measure angles between the top

6 0
2 years ago
A 99% confidence interval for the sugar content (per 5 oz. serving) of a shipment of strawberries is 5.9 to 8.3 grams.
gavmur [86]

Answer:

Sample mean = 7.1

Margin of error = 0.465

Step-by-step explanation:

Formula for confidence interval is;

CI = x¯ ± zE

Where;

x¯ is sample mean

z is critical value at confidence level

E is margin of error.

z for 99% Cl is 2.58

We are told the CI is 5.9 to 8.3.

Thus;

5.9 = x¯ - 2.58E - - - - (1)

8.3 = x¯ + 2.58E - - - - (2)

Add both equations together to get;

14.2 = 2x¯

x¯ = 14.2/2

x¯ = 7.1

Put 7.1 for x¯ in eq 1 to get;

5.9 = 7.1 - 2.58E

7.1 - 5.9 = 2.58E

E = 1.2/2.58

E = 0.465

5 0
2 years ago
What is the slope of the line represented by the equation y=4/6x-3?
Finger [1]
Your sloe would be 2/3x because that fraction is rise over run so you go up two and over three positive the -3 is your intercept but he fraction simplified is your slope good luck
6 0
2 years ago
YOU CAN EARN YOURSEL A BRAINLEST! (0.<)
Gelneren [198K]

Answer:    

P(x) = 0.50x - 5

Step-by-step explanation:

x = number of glasses sold

She charges $0.50 per glass, so her revenue is

R(x) = 0.50x

which is the amount of money she brings in

Her cost function is

C(x) = 5

assuming she only spends that $5.00 on the supplies mentioned.

The profit P(x) is the difference of revenue and cost

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 0.50x - 5

4 0
3 years ago
Please help on this one
VLD [36.1K]

C. 2x√x

HOPE THIS WILL HELP YOU

5 0
3 years ago
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