X-1=3x+3----plug the second equation in for x
-4=2x-------get the x on one side by subtracting x and 3
x=-2------divide by 2
y=x-1
y=-3------plug in x
(-2,-3)
Answer:
Greatest vessel to fill each in exact number of times is 6 litres
Step-by-step explanation:
To solve this, we will find the greatest common factor of 36,18 and 72
Thus;
Their prime factors are;
18: 2, 3
36: 2, 2, 3, 3,
72: 2, 2, 2, 3, 3
The factors common to all of them are 2 & 3.
Thus;
GCF = 2 × 3 = 6
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Using the y=mx+b method and y1-y2/x1-x2
it would look like this
6-10=-4
divide
2-4=-2
and m=2 (slope)
then using y=mx+b
plug n chug
6=2(2)+b
6=4+b
b=2
thus, your equation is
y=2x+2
Answer:
<em>See below.</em>
Step-by-step explanation:
First, divide the percent to find the decimal form.
Then, multiply the percentage by the total.
Last, subtract it by the total.
<em>Answer: </em>
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