Answer:
x^4 -x^3 -4x^2-3
Step-by-step explanation:
f(x)=x^4−x^2+9
g(x)=x^3+3x^2+12
(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)
Distribute the minus sign
(f−g)(x)= x^4−x^2+9 - x^3-3x^2-12
I like to line them up vertically
x^4 −x^2+9
- x^3 -3x^2-12
---------------------------
x^4 -x^3 -4x^2-3
Answer:the third option is the correct answer
Step-by-step explanation:
The given system of linear equations is expressed as
y – 3x = –2 - - - - - - - - - - - -1
y = 4 - - - - - - - - - - - - - 2
The first step is to substitute equation 1 into equation 2. It becomes
4 – 3x = –2
Subtracting 4 from the left hand side and the right hand side of the equation, it becomes
4 - 4 - 3x = –2 - 4
- 3x = - 6
Dividing the left hand side and the right hand side of the equation by - 3, it becomes
- 3x/ - 3 = - 6/ - 3
x = 2
(2, 4)
Answer: B and C
Step-by-step explanation: For A, vertical angles can be complimentary or supplementary. For D, vertical angles can sometimes be acute but not always.
Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
Lets use the letter C to represent cats and D to represent dogs.
A) 2.35c + 5.50d = 89.50
For B, they give you numbers to plug into your equation.
c = 8
d= 14
B) 2.35(8) + 5.50(14) = 89.50
18.80 + 77.00 = 95.80
So what Pat said is incorrect because that would mean they spent more than 89.50.
Hope this helps! :)
