Answer:
There are two pairs of solutions: (2,7) and (-1,4)
Step-by-step explanation:
We will use substitution.
y = x^2 + 3
y = x +5
Since the second equation is equal to y, replace y in the first equation with the second equation.
y = x^2 + 3
x + 5 = x^2 + 3
Rearrange so that one side is equal to 0.
5 - 3 = x^2 - x
2 = x^2 - x
0 = x^2 - x - 2
You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).
a = 1, b = -1, c = -2
Zeros = 
and 
Zeros = 2 and -1
Now that you have your x values, plug them into the equations to find their corresponding y values.
y = x^2 + 3
y = (2)^2 + 3
y = 7
Pair #1: (2,7)
y = x^2 + 3
y = (-1)^2 + 3
y = 4
Pair #2: (-1,4)
Therefore, there are two pairs of solutions: (2,7) and (-1,4).
Answer:
5x+3y+(-x)+6z
5x+(-x)+3y+6z
4x+3y+6z
The facts to apply is PEMDAS which is parenthesis,exponents, multiplication,division,addition and subtraction.
Then group like terms if there are any.
You finally get to a simplified answer if there are no like terms
Total $129
129 - 24 = 105
105 / 3 = 35
Scot saves $35 last month
The answer is 4 and four-fifths.
Answer:
$47,200
Step-by-step explanation:
Given :
The total income of a married couple = $75,000.
Number of children = 2
Therefore to find the taxable income of a U.S. family is given by the following formula ---
taxable income = total income- exemption deduction - standard deduction
We know that exemption deduction for a U.S couple as fixed by the government is $15,600.
And the standard deduction for a U.S couple as fixed by the government is $12,200.
Thus in order to find the taxable income of the couple, use the formula
taxable income = total income- exemption deduction - standard deduction
= $75,000 - $15,600 - $12,200
= $47,200.
Thus the taxable income is $47,200.
