1.) Group like terms: 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x-5+7
2.) Add similar elements: = 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x=0
3.) =-5+7
4.) Add/Subtract the numbers: -5 + 7 = 2
<u>Your Answer: 2</u>
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
Answer:
k = 5
Step-by-step explanation:
I will assume that your polynomial is
x^2 - 3x^2 + kx + 14
If x - a is a factor of this polynomial, then a is a root.
Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:
2 / 1 -3 k 14
2 -2 2k - 4
-------------------------------------
1 -1 (k - 2) 2k - 10
If 2 is a root (if x - 2 is a factor), then the remainder must be zero.
Setting 2k - 10 = to zero, we get k = 5.
The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14
Answer:
![\large\boxed{ax^2+ay^2-bx^2-by^2+b-a=(a-b)(x^2+y^2-1)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bax%5E2%2Bay%5E2-bx%5E2-by%5E2%2Bb-a%3D%28a-b%29%28x%5E2%2By%5E2-1%29%7D)
Step-by-step explanation:
![ax^2+ay^2-bx^2-by^2+b-a\\\\=(ax^2-bx^2)+(ay^2-by^2)+(b-a)\qquad\text{use the distributive property}\\\\=x^2(a-b)+y^2(a-b)-1(a-b)\\\\=(a-b)(x^2+y^2-1)](https://tex.z-dn.net/?f=ax%5E2%2Bay%5E2-bx%5E2-by%5E2%2Bb-a%5C%5C%5C%5C%3D%28ax%5E2-bx%5E2%29%2B%28ay%5E2-by%5E2%29%2B%28b-a%29%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5C%5C%5C%3Dx%5E2%28a-b%29%2By%5E2%28a-b%29-1%28a-b%29%5C%5C%5C%5C%3D%28a-b%29%28x%5E2%2By%5E2-1%29)
Answer:
$1.95 or 2. According to your refrences.
Step-by-step explanation: