Let's convert the equation into slope-intercept form.
3x + 18y = 4
Subtract 3x from both sides.
18y= -3x + 4
Divide both sides by 18.
y = -3/18x + 4/18
Simplify.
y = -1/6x + 2/9
To make a line perpendicular, we need the slope to be the reciprocal of the other. Flip the denominator and numerator, and change the sign. We also have to change the b to make the line go through (-2, 1)
-1/6 to +6/1, or 6.
y = 6x + b
Input the x and y values and solve for b.
1 = 6(-2) + b
1 = -12 + b
Add 12 to both sides.
13 = b
y = 6x + 13
Answer:
V = 14 + 5t
14 + 5t ≥ 49
Lucy has to add water at least for 7 minutes.
Step-by-step explanation:
There were 14 liters of water in Lucy's fish tank. She was about to add water at the rate of 5 liters per minute until there were at least 49 liters of water in the tank.
If t represents the number of minutes she adds water and V is the volume of water in liters in the fish tank, then we can write the equation as
V = 14 + 5t ........... (1)
Now, this volume of water in the tank V must be at least 49 liters.
So, 14 + 5t ≥ 49 is the required inequality.
⇒ 5t ≥ 35
⇒ t ≥ 7
So, Lucy has to add water at least for 7 minutes. (Answer)
Ok, so, let me draw a graph....... ok, so this is actually pretty easy. i believe that you are talking about what is the name of the slope it forms when i put those two points together. when you connect<span> (3,-6) and (-1,2)</span>, you get a "Down- hill" slope or we call it also a negative slope, because the line points down hill!
******thanks so much!!!! please mark as brainliest if possible!!!!!! i really need the points!!!! thank you!!!!
Answer: (-2, -5), (-1, -8), (0, -9), (1, -8), (2, -5)
Step-by-step explanation:
f(-2)=(-2)^2-9
f(-2)=4-9
f(-2)=-5 ==> (-2, -5)
f(-1)=(-1)^2-9
f(-1)=1-9
f(-1)=-8 ==> (-1, -8)
f(0)=0^2-9
f(0)=0-9
f(0)=-9 ==> (0, -9)
f(1)=(1)^2-9
f(1)=1-9
f(1)=-8 ==> (1, -8)
f(2)=(2)^2-9
f(2)=4-9
f(2)=-5 ==> (2, -5)
Answer:
D.]
Step-by-step explanation:
We will find the standard deviation and variance:
Variance= E
-[![[E(x)]^{2}](https://tex.z-dn.net/?f=%5BE%28x%29%5D%5E%7B2%7D)
E[x] = 3.462
E[{x}^2]= 31.86
Var(x)= 31.86-(3.462)^2 = 28.4
Standard deviation = 
= 
= 5.833 = 6(aproximately)
Therefore, the chances of winning are equal in each lane.