Answer:
Step-by-step explanation:
This is a system of equations. The 2 equations are:
4c + 2p = 16
2c + 3p = 12
Let's get rid of the p's first. Do this by multiplying the first equation by -3 and the second equation by 2 to get a new system that looks like this:
-12x - 6p = -48
4c + 6p = 24
Now add to get
-8c = -24 and
c = 3
That means that chocolate is $3 per pound. Now sub that back in to either one of the original equations to get the price for peanuts:
4(3) + 2p = 16 and
12 + 2p = 16 and
2p = 4 so
p = 2
The price for peanuts is $2 per pound.
Answer:
, 
,
, 
Step-by-step explanation:
i got it right
The formula is y-y0=m(x-x0)
So we plug in the Y's and the X's given:
-5-9=m(0-(-3)) >>>> -14=m(3)>>>>> m=-14/3
The next formula is y=mx+b , choose any point to use for X and Y: I'm gonna choose (0,-5)
-5=-14/3(0)+b >>> b=-5
Your formula is: y=-14/3x-5
Answer:
This problem requires you to use the equation for the volume of a cone. The equation is 
. Plug in the corresponding numbers to solve the equation. The equation should be 
. Simplify the equation to get 103.74 
.
Answer:
The bird will be at a ground distance of 10.04 units away.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point 
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at 
, and it's value is 
.
Equation for the height:
The height of the bird after x seconds is given by:
Which is a quadratic equation with 
.
When the bird is at its highest?
Quadratic equation with 
, and thus, at the vertex. The ground distance is the x-value of the vertex. Thus
The bird will be at a ground distance of 10.04 units away.
