Answer:

Step-by-step explanation:

<u>Multiply both sides by 7:</u>


<u>Subtract 4 from both sides:</u>


<u>Divide both sides by 10:</u>


_____________________
<h3>
Answer: -1</h3>
Explanation:
The given equation is the same as y = -1x^4+4x^2
The leading term is the term with the largest exponent, so it's -1x^4
The leading coefficient is the coefficient of the leading term.
In short, we circle the first coefficient we see. This is assuming that the polynomial is in standard form where the exponents decrease when going from left to right.
Answer:
The dimensions of the wall are 100 ft x 100 ft
Step-by-step explanation:
we know that
The perimeter of a rectangular wall is

where
x is the length
y is the width
we have

so

simplify
----> equation A
The area of a rectangular wall is equal to
----> equation B
substitute equation A in equation B

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
Convert the quadratic equation in vertex form

Factor -1

Complete the square


Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (100,10,000)
The x-coordinate of the vertex represent the length of the wall for a maximum area
so

Find the value of y
equation A

therefore
The dimensions of the wall are 100 ft x 100 ft
From x equals five to nine, the y value changes as follows
+10,+2,+1,+3
Assuming that "average" implies the mean, the sum of all four values is 15. Then divide 15 by the four values added = 15/4 = 3 3/4 or 3.75
Answer:
Around 226.2
Step-by-step explanation:
if diamater = 12
radius = 6
6^2 = 36
and 36 times π = around113.1
113.1 times 2 = 226.2
its not exactly 226.2