Answer:
x = 20/9
Step-by-step explanation:
We want to write out all of the mixed fractions into improper fraction form. So -2 and 1/9 becomes -19/9 and -4 and 1/3 becomes -13/3. Then we get (-19/9) - (-13/3). The two minus signs together means a positive/plus sign, so we get -19/9 + 13/3. In order to add, we want the denominator to be the same. A common denominator could be 9, so -19/9 + 13(3)/3(3) = -19/9 + 39/9 = 20/9, which is our final answer
Answer:
(-2, 3)
Step-by-step explanation:
Given the system of equations:
-3x + 2y = 12
x = 2y - 8
You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':
-3(2y - 8) + 2y = 12
Distribute: -6y + 24 + 2y = 12
Combine like terms: -4y + 24 = 12
Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12
Divide both sides by -4: -4y/-4 = -12/-4 or y = 3
Use y = 3 to solve for 'x':
x = 2(3) - 8 or 6 - 8
x = -2
(-2, 3)
Answer:
$5.83 in taxes.
Step-by-step explanation:
Discounted price of pants: 23.50 × (1 - 0.3) = 16.45
Discounted price of shirts: 16.25 × (1 - 0.25) = 12.1875
Discounted price of hats: 9.75 × (1 - 0.15) = 8.2875
2 pants, 3 shirts, and 1 hat: 16.45(2) + 12.1875(3) + 8.2875(1) = 77.75
Sales tax: 77.75 × 0.075 = 5.83125
Rounded to nearest cent: $5.83 in sales tax
Judging by the question you have provided I came to the conclusion that you have already solved your own problem!
If the goal is to find X when X=-15 then your answer for X should be -15!
If this is not the entire equation please post the entire one!
Hope this helped!
-Blake
The degree of a polynomial is the highest power of its terms.
The power of a term is the sum of the powers of all the variables in a term.
A polynomial is written starting with the greatest power in standard form.
In the first case, the power of the first term is 3, the power of the second is 3 (2 from x + 1 from y) but the power of x has decreased so it is the second term, and then so on.
In the second case, the power is starting form 2 and then increasing to 3. This is incorrect.
Therefore, Marcus' suggestion is correct.
