Answer:
3 x^2 - x + -1
Step-by-step explanation:
Simplify the following:
-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4
Factor -1 out of -2 x^2 + 4 x - 3:
--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4
(-1)^2 = 1:
2 x^2 - 4 x + 3 + x^2 + 3 x - 4
Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):
(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)
x^2 + 2 x^2 = 3 x^2:
3 x^2 + (3 x - 4 x) + (-4 + 3)
3 x - 4 x = -x:
3 x^2 + -x + (-4 + 3)
3 - 4 = -1:
Answer: 3 x^2 - x + -1
Answer:
Part A: The 15 in the equations is Allison's allowance while the x is the number of months she gets allowance. The 100 in the equation is Allison's work money from the theater while the y is the number of months she works at the theatre.
Part B: The terms in this equation are 15x and 100y. 15x is her allowance profit and 100y is her work profit. I can tell this because 15 is the amount the makes from allowance and 100 is the amount she makes from work.
Part C: 15x is the term that represents the profit from her allowance.
Step-by-step explanation:
so the amount of allowance she gets is 15 * number of months
and I'm assuming she earns 100 * number of months
to make it more clear it would be better to write this equation as
Profit = 15m + 100m
where m = number of months
The sequence is given by the formula
, where n is the value of the n'th term in the sequence.
Thus,
T(1) calculates the value of the 1st term
T(2) calculates the value of the 2nd term
T(3) calculates the value of the 3rd term
.
.
an so on
the value of the third term is T(3)=3*3-1=9-1=8
Answer: 8
Answer:
x = all real numbers, infinite solutions
Step-by-step explanation:
4(x-2) + 7 = 4x - 1
Distribute
4x -8+7 = 4x-1
Combine like terms
4x -1 = 4x-1
Subtract 4x from each side
4x-1 -4x = 4x-1-4x
-1 = -1
This is always true so there are infinite solutions for x
Answer:
x = 3 and y = 14
Step-by-step explanation:
opposite angles of a parallelogram are congruent. Hence,
1) 7y + 2 = 6y + 16
I. e. 7y - 6y = 16 - 2
I. e. y = 14
2) 8x + 8 = 6x + 14
I. e. 8x - 6x = 14 - 8
I. e. 2x = 6
I. e. x = 6/2
I. e. x = 3
