Answer:
the slope is zero because
Step-by-step explanation:
this is a perfect horizontal line passing through y=-3
I've been thought
hope it helps
Answer:
![x=\{-\frac{1}{2} ,\:0\}](https://tex.z-dn.net/?f=x%3D%5C%7B-%5Cfrac%7B1%7D%7B2%7D%20%2C%5C%3A0%5C%7D)
Step-by-step explanation:
![f(x) =-2x^2 -x\\plug \: f(x) =0\\0= -2x^2 -x\\2x^2 + x = 0\\x(2x+1) = 0\\\therefore x =0 \: or \: 2x+1 = 0\\\therefore x =0 \: or \: 2x = -1\\\\\therefore x =0 \: or \: x = -\frac{1}{2} \\\\x=\{-\frac{1}{2} ,\:0\}](https://tex.z-dn.net/?f=f%28x%29%20%3D-2x%5E2%20-x%5C%5Cplug%20%5C%3A%20f%28x%29%20%3D0%5C%5C0%3D%20-2x%5E2%20-x%5C%5C2x%5E2%20%2B%20x%20%3D%200%5C%5Cx%282x%2B1%29%20%3D%200%5C%5C%5Ctherefore%20x%20%3D0%20%5C%3A%20or%20%5C%3A%202x%2B1%20%3D%200%5C%5C%5Ctherefore%20x%20%3D0%20%5C%3A%20or%20%5C%3A%202x%20%3D%20-1%5C%5C%5C%5C%5Ctherefore%20x%20%3D0%20%5C%3A%20or%20%5C%3A%20x%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%5C%5Cx%3D%5C%7B-%5Cfrac%7B1%7D%7B2%7D%20%2C%5C%3A0%5C%7D)
Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parentheses
x+x+7+4x+28+2=85 simplify
6x+37=85 subtract 37 from each side
6x+37-37=85-37
6x=48
x=8---first number
x+7=8+7=15 second number
4(x+7)+2=4*15+2=62 third number
CK
8+15+62=85
85=85
Answer:
Step-by-step explanation:
<u>Use the slope formula:</u>
- m = (y₂ - y₁)/(x₂ - x₁)
- m = -3, x₁ = 4, y₁ = r, x₂ = 8, y₂ = -11
<u>Substitute values and solve for r:</u>
- -3 = (-11 - r)/(8 - 4)
- -3 = -(11 + r)/4
- 11 + r = 12
- r = 12 - 11
- r = 1
-5/6 because
2/3=4/6
So
X+4/6-4/6=-1/6-4/6
X=-5/6