Answer:
c = 360/n
Step-by-step explanation:
From the question, we are told that:
The cost per ounce of a drink, c, varies inversely as the number of ounces, n.
Mathematically this is expressed as:
c ∝ 1/n
Using the constant of proportionality k
c = k/n
Six ounces of the drink costs 60 cents per ounce.
c =60 cents per ounce
n = 6 ounces
Mathematically we have
c = k/n
60 = k/6
Cross multiply to find the constant k
k = 60 × 6
k = constant of proportionality = 360
Therefore, using the mathematically expression "c = k/n" the equation that represents this relationship is
c = 360/n
Answer:
y= -4x-6 is the required equation.
Step-by-step explanation:
Lets take (0,-6) and (1,-10)
now
slope = (y2-y1)/(x2-x1)
= ((-10+6)/(1-0)
= -4/1
so, m = -4
again
y=mx+c
or, -10=-4×1+c
or, -10 = -4+c
so, c = -6
now
y=mx+c
or, y = -4x-6
we have three sides, let's look at the two smaller sides first.
check the picture below atop
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 9 - 4 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check the picture below at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 4 + 9 = 13. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 13.
Answer:
Step-by-step explanation: 3XY 3+5-X-2XY3=XY3+11 USE THE COMMUTATIVE PROPERTY TO REODER THE TERMS...3Y3+5-X-2XY3=XY3+11 COLLECT LIKE TERMS Y3+5-X-Y3X+11..Cancel equal terms on both sides of the equation 5-x=11 move constant to the right side and change its sign -x=11-5 subtract the numbers -x=6 final answer is X=-6
