Answer:
a = 2
b = 3
c = 8
Step-by-step explanation:
First, let us look at the first two (far left) fractions to solve for a.
Since
, nothing needs to change in the numerator. 4 = 
a = 2.
Next, we will look at the first and third fractions to solve for b.
= 32
32 / 4 = 8
= 8
b = 3
Lastly, we will solve for c.
All of these fractions simplify to 8 and are equal to each other.
c = 8
Answer: D. y = -4x + 4
Step-by-step explanation:
Notice that the y-intercept is when x is zero and the x intercept is when y is 0.
and to write in the equation in slope intercept form , you will need the slope and the intercept.
We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.
y intercept: ( 0,4)
x intercept: (1,0)
y coordinates difference: 4 - 0 = 4
x coordinates difference: 0 - 1 = - 1
Slope: 4/-1 = -4
Since the slope is -4 and the the y intercept is 4 , the equation will be
y = -4x + 4
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
Let the area be y .
Area = (base) × (height)
Base = 2x
Height = h
Let the area of the rectangular pens be y .
∴ y = 2xh
Perimeter of all the fencing = 4x+3h
∴ 4x+3h = 120
now we solve for h
3h = 120-4x
h = 40 - 4/3 x
Now we will substitute this value in the above first equation:
y = 2xh
or, y = 2x (40 - 4/3 x)
or, y = 80x - 8/3 x²
Now for the maximum area we have to find the first order differentiation of y
now,
dy /dx = 80 - 16/3 x
At dy/dx = 0 we get the value of x for which y is maximum.
80 - 16/3 x = 0
or, - 16/3 x = -80
or, x = 15 feet
Hence height = 40 - 4/3 x = 40 - 20 = 20feet
Maximum area = 2xh = 2×15×40 = 1200 square feet
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
Disclaimer : The missing figure for the question is attached below.
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Step 1 gives you
3*(4x - 2) on the left hand side.
When you remove the brackets what you get is
3*4x - 3*2
12 x - 6 You have to distribute on both sides of the plus sign. The answer is the second one down.
So the answer is 2) <<<< answer.
Answer:
A. 5
B. 12
Step-by-step explanation:
What you do is you substitute -2 into the a and the 3 into the b.
a. 3(-2)^2-5(3)+8 b. 2/3(3)-5(-2)
3(4)-15+8 2-(-10)
12-15+8 12 is your answer.
-3+8
5 is your answer.