Every week he withdraws $35 from the $950 in his savings, and he wants at least $600 by the end of the summer. So we could write:
Where 'x' is the number of weeks. Now let's solve it for 'x'.
Subtract 950 to both sides:
Divide -35 to both sides, don't forget to switch the sign when dividing/multiplying by a negative number:
So he can only withdraw at money for at most 10 weeks if he wants at least $600 left in his account.
Answer:
Option 2 ( 1,-10)
Step-by-step explanation:
The two equations are y = -x²-5x-4 -----(1)
and y = -x²+9x-18-------(2)
To get the solution of these lines we will substitute the value of y form equation 1 to 2.
- x² - 5x -4 = -x²+9x-18
Now by collecting similar terms on each side.
-x² -5x + x²-9x = -18 + 4
-14x = -14
14x = 14
x = 1
By putting the value of x in equation 1.
y = -1 - 5 - 4 = -10
So the solution is (1, -10)
Therefore Option 2 is the correct answer.
Note that the problem states that you only need to check the solution she got for x...so we don't have to worry about y in this case. (YAY)
To verify MaryJo's answer, simply solve the equation for x:
3x - 2 = -x - 6
3x (+ x) - 2 = -x (+ x) - 6
4x - 2 = -6
4x - 2 (+ 2) = -6 (+ 2)
4x = -4
4x/4 = -4/4
x = -1
Since this conforms to MaryJo's answer, she did indeed find the correct solution for x.
this polynomial has a degree of 9.
The degree of a polynomial is the highest power of the unknown with a non-zero coeficient.
This expresion has unknown x raised to the 5th, 4th, 9th and 1st power
(x=x1)
with coeficients of : 1,-3,+3 and -2 respectively. So the highest power (i.e. the degree of the polynomial) is 9.
