0.2 1/2 because it is closes to two $o yeah.
Answer:
3 + 0.4 + 0.02 + 0.005
Step-by-step explanation:
This is the expanded form of 3.425.
Let's convert the word descriptions into mathematical equations first for illustration.
f(x) = x^2 - x - 12
g(x) = -2.5x - 2
Then, we equate g(x) and f(x). The final equation becomes
x^2 - x - 12 = -2.5x - 2
Then, we simplify by transposing and combining like terms.
x^2 - x + 2.5x -12 + 2 = 0
x^2 + 1.5x - 10 = 0
Since this is a quadratic equation, we find the roots by using the quadratic formula
where a = 1, b = 1.5 and c=-10
Thus, the answer is x = 2.5, -4.
9514 1404 393
Answer:
- 6x +y = -6
- 6x -y = 8
- 5x +y = 13
Step-by-step explanation:
To rewrite these equations from point-slope form to standard form, you can do the following:
- eliminate parentheses
- subtract the x-term
- subtract the constant on the left
- if the coefficient of x is negative, multiply by -1
Of course, any operation you do must be done <em>to both sides of the equation</em>.
__
1. y -6 = -6(x +2)
y -6 = -6x -12 . . . . . eliminate parentheses
6x +y -6 = -12 . . . . . add 6x
6x +y = -6 . . . . . . . . add 6
__
2. y +2 = 6(x -1)
y +2 = 6x -6
-6x +y +2 = -6
-6x +y = -8
6x -y = 8 . . . . . . . . multiply by -1
__
3. y -3 = -5(x -2)
y -3 = -5x +10
5x +y -3 = 10
5x +y = 13
_____
<em>Additional comment</em>
The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.
Answer:
Step-by-step explanation:
Let X be the initial price and P be the final price.
#Given a discount of 15% then 10% of that amount:
![P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.10)]\\\\=0.765X](https://tex.z-dn.net/?f=P_1%3D%281-o%29%5BX%281-d%29%7D%5C%5C%5C%5C%3D%281-0.15%29%5BX%281-0.10%29%5D%5C%5C%5C%5C%3D0.765X)
Hence, the finial price is 76.5% of the initial price.
#Given a discount of 10% then 15% of that amount:
![P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.1)]\\\\=0.765X](https://tex.z-dn.net/?f=P_1%3D%281-o%29%5BX%281-d%29%7D%5C%5C%5C%5C%3D%281-0.15%29%5BX%281-0.1%29%5D%5C%5C%5C%5C%3D0.765X)
Hence, the finial price is 76.5% of the initial price.
#Given a discount of 25%
Hence, the finial price is 75.0% of the initial price. It therefore give's the best price due to it's 25% price reduction.
