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loris [4]
3 years ago
10

clare wants to make an open-top box by cutting out corners of a 30 inch by 25 inch piece of poster board and then folding up the

sides. The volume V(x) in cubic inches of the open-top is a function of the side lengh x in inches of the square cutouts. Write an expression for V(x).
Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

A. V(x)= (50-2x) ( 35-2x)x

Step-by-step explanation:

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A farmer has 1,800 feet of fencing and wants to fence off a rectangular field that borders a straight river. he needs no fence a
astra-53 [7]
There are 2 short sides x and 1 long side y.

x+x+y=1,800
2x+y=1,800
y=1,800-2x

The area of the rectangle is A=x(1,800-x).


A is a function with variable x. Moreover it is a quadratic (second degree) function.

The graph of the function is a parabola which opens downwards, because the signs of the leading coefficients of the factors, multiply to minus:

(x)(-x)=-x^2.


This means that the highest point of the parabola, is its vertex V(h,k), so the function takes its largest value for x=h.


The roots of A=x(1,800-x) are x=0 and x=1,800, thus the x coordinate of the vertex, must be the midpoint of 0 and 1,800, that is 900.


Answer:

A=x(1,800-x)

largest area is when x=900

4 0
3 years ago
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Is it one solution or many solutions y=2x+7 and y=3x-1
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Answer:

the answer is one solution

8 0
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If g(x)=2(x-4), find the value of x if g(x)=20
kherson [118]

Answer:

3) 14

Step-by-step explanation:

in the given equation replace the "g(x)" with the provided "20"

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3 years ago
A farmer is comparing the number of eggs laid by two hens. The first hen laid 7 eggs per week for x weeks. The second hen laid 8
nikitadnepr [17]

Answer:

7x ≥ 8y

Step-by-step explanation:

The first hen laid 7 eggs per week for x weeks.  7x

The second hen laid 8 eggs per week for y weeks. 8y

The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.

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7 0
3 years ago
Sofia measures the length of her car as 16 feet. What is the greatest possible error? ______ feet What is the margin of error? _
Genrish500 [490]

Answer:

Sofia measures the length of her car as 16 feet.

What is the greatest possible error?  

<h2> ⇒ 0.5 feet </h2>

What is the margin of error?  

<h2> ⇒ 15.5  TO  ⇒ 16.5 feet</h2>

Step-by-step explanation:


3 0
3 years ago
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