Answer:
D. –X+XY–7y
Step-by-step explanation:
We just have to combine (add) the similar terms... so all terms that have an x in them for example.
–3x + 2xy + 4y – xy + 2x – 11y
Let's first re-write it placing similar terms next to each other
(-3x + 2x) + (2xy - xy) + (4y - 11y)
Then we sum them up, for each similar terms
1x + 1xy -7y
so, x + xy -7y
Answer D.
Answer:
The amount invested in the mutual fund that earned 5% was $1,000
The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
---->
----> equation A


----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x

<em>Find the value of y</em>


therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
Question
x+5/x+2 - x+1/x²+2x
Answer:
= (x² - 4x - 1)/[x (x+2)]
= (x² - 4x - 1)/[x² + 2x]
Step-by-step explanation:
x + 5/x + 2 - x + 1/x² + 2x
We factorise the second denominator to give us :
x + 5/x + 2 - x + 1/x(x + 2)
We find the L.C.M of both denominators which is x(x+2).
[x(x + 5)-(x + 1)] / (x (x + 2))
Expand the bracket
=[x² +5x - x -1] / [x (x + 2)]
=(x² - 4x - 1) / [x (x + 2)]
= (x² - 4x - 1)/ [x (x + 2)]
= (x² - 4x - 1) / [x² + 2x]
Answer:
Gender, car
Step-by-step explanation:
Give the data above :
The categorical variables are : Gender and Car
The Gender are car variables represents non numeric variables written as strings and as such does not allow for numeric calculations such as addition, subtraction and so on, they are instead used to classify the observations in the data into discreet groups, the gender variable separates observations into Male and Female classes while, the car variable separates cars driven into distinct classes denoting the name of cars driven by each observation in the data. The other variables are of quantitative nature as they allow for numerical computation of the data values.