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Andrej [43]
2 years ago
13

Emma, Steve, Maria, and George are comparing the solution of a math assignment problem below.

Mathematics
2 answers:
Ann [662]2 years ago
7 0
Steve did it perfectly, because he got the common denominator first, then expanded and subtracted.
LekaFEV [45]2 years ago
5 0

Answer:

A. Steve

Step-by-step explanation:

We are given the expression, \frac{1}{x-1}-\frac{3}{x^{2}+2x-3}.

So, upon simplifying the expression, we get,

\frac{1}{x-1}-\frac{3}{x^{2}+2x-3}

implies \frac{1}{x-1}-\frac{3}{(x-1)(x+3)}

i.e. \frac{1(x+3)-3}{(x-1)(x+3)}

i.e. \frac{x+3-3}{(x-1)(x+3)}

i.e. \frac{x}{(x-1)(x+3)}

So, from the options, we see that,

Steve has correctly subtracted the rational expressions.

Thus, option A is correct.

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One bucket of gravel has a mass of 7.05 KG. What is the mass of 20 buckets of gravel in kilograms?
schepotkina [342]

Answer:

D: 141 KG

Step-by-step explanation:

7.05 x 20 = 141

Just multiply the mass of the object by however many objects there are if they all weigh the same.

3 0
2 years ago
Seven fifths of a number, z, subtracted from 6 times the same number is 3 .
Alex_Xolod [135]
6z-7z/5=3

(30z-7z)/5=3

30z-7z=15

23z=15

z=15/23
8 0
3 years ago
Akron Cinema sells an average of 500 tickets on Mondays, with a standard deviation of 50 tickets. If a simple random sample is t
Paha777 [63]

Answer:

Step-by-step explanation:

Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as

z = (x - u)/s

Where

x = ticket sales from monday

u = mean amount of ticket

s = standard deviation

From the information given,

u = 500 tickets

s = 50 tickets

We want to find the probability that the mean will be greater than 510. It is expressed as

P(x greater than 510) = 1 - P(x lesser than or equal to 510)

For x = 510

z = (510 - 500)/50 = 0.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.9773

P(x greater than 510) = 1 - 0.9773 = 0.0227

7 0
2 years ago
Read 2 more answers
How do you solve x to the second power +7x=O
crimeas [40]
Well the answer is 0 because if anything = 0 then it has to be multiplied by 0 so x = 0

8 0
3 years ago
Read 2 more answers
For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
daser333 [38]
<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) g(4)=2^{4}+12=16+12=28

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise,  the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

The dependent variable is the function itself (g(x)), it's also called "y",  and it's called "dependent" variable because its values will always depend on the "independent variable".

A function is the rule that states that there is exactly one output (range value) to the each input (domain value).  A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

g(4)=2^{4}+12=16+12=28

Have a nice day!

8 0
3 years ago
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