PLEASE HELP!A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.
Which expression can be used to determine the greatest possible volume of the cardboard box?
A) (x−7)(x−11)x
B) (7−2x)(11−2x)x
C) (11−7x)(11x−7)
D) (7x−11)(7−11x)
Answers
Answer:
Option B
Step-by-step explanation:
Given is a rectangle with width 7 and length 11.
From each corner of the rectangle a square of length x is cut and foled to make a box
Now for the open box we made, height = x
width = rectangle width - 2 times d
= 11-2x
Length = rectangle length-2x
Hence volume of box
=lwh
= (7-2x)(11-2x)x
Answer: B)
Step-by-step explanation:
Given: The length of the cardboard = 11 in.
The width of the cardboard =7 in.
If a box is created without a top from a piece of cardboard, but cutting out square corners with side length x, then the dimensions of box will be:-
Width (w)=
length (l)=
Height (h)=
Now, volume of rectangular box is given by :-
Hence, the expression can be used to determine the greatest possible volume of the cardboard box is given by :-
Related Questions
Write a set of parametric equations for y=x^2+1 given the parameter t=x-2
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.x+3y=93x-y=7
What do the following two equations represent?
The sum of a number and -43 is 102.what is the number
Answers
To round to the nearest cent is$56.99. Because the .987 you have to round the 7 is over 5 so you change the 8 to a 9.
2) x= -1 and x = 2
3) x= 1 and x = -2
4) x = 1 and x = 2
Answers
Answer:
third option
Step-by-step explanation:
Given
f(x) =
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.
solve x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
The vertical asymptotes are x = 1 and x = - 2
B. 10x – 15
C. 10x – 8
D. 7x – 8
Answers
Area = l x w
We use this equation, to solve this problem.
Area = l x w
Area = (2x – 3) x 5
Area = 10x - 15
Therefore, the correct answer is option B.
5 * 2x = 10x
5 * -3 = - 15
10x - 15
Answers
(desired outcomes)/(total possible outcomes)
ok so total possible is 6 since 6 numbers
less than 3 means all numbers less than 3 not including 3
there are 2 (1 and 2 are less than 3)
2=desired outcomes
6=total possible
2/6=1/3
probability is 1/3
b. translate left 12 units, stretch horizontally by a factor of 4, and reflect over the x-axis.
need steps don't understand how to do!
Answers
a. f(x) = a |x-h| + k
a is the stretch or shrink
h is horizontal movement (watch the negative!!)
k is vertical shift
Translate left 9 units means horizontal shift so the h changes. When you move to the left, the numbers become negative so y = a|x-(-9)| + k which becomes
y = a|x+9| + k Then the vertical stretch of 5 becomes y = 5|x+9| + k And then a translation down 23 units means a negative shift down (which is your vertical shift) so:
f(x) = 5(x+9) - 23
b. translate left 12 units meaning a negative horizontal shift. y = a|x-(-12)| + k
so then it becomes y = a|x+12| + k
a stretch horizontally by 4 is your a, so y = 4|x+12| (you can just forget about the k since there is no vertical shift so your k = 0)
a reflection over the x-axis means that your horizontal axis is taken and folded and the reflection from the graph is your new graph. So basically, the whole equation becomes negative.
y = -4|x+12|
Final answer:
For a, the transformed function is 5*|x+9| - 23 after translating 9 units to the left, stretching vertically by a factor of 5, and translating down 23 units. For b, the transformed function is -|(x+12)/4|, after translating 12 units to the left, stretching horizontally by a factor of 4, and reflecting over the x-axis.
Explanation:
The given function is f(x) = |x|. To write the equation for each transformation, you need to understand how they influence the function.
a. To translate the function left 9 units, the value 9 needs to be added inside the absolute value brackets creating f(x) = |x+9|. To stretch it vertically by a factor of 5, we multiply the entire function by 5 - 5 * f(x) = 5*|x+9|. Lastly, to translate down 23 units, we subtract 23 from the entire function, leading us to 5*|x+9| - 23.
b. To translate left 12 units, we change the function to |x+12|. To stretch horizontally by a factor of 4, divide the x inside the absolute value by 4, getting |(x+12)/4|. To reflect over the x-axis, we multiply the entire function by -1, leading to -|(x+12)/4|.
Learn more about Function Transformation here:
Answers
Answer:
4.25 yards
Step-by-step explanation:
Area of rectangle = Base x Height
or
Height = Area of Rectangle ÷ Base
In this case, Area =38.25 sq yards and Base = 9 yards
Height = 38.25 ÷ 9 = 4.25 yards
hi! your answer is 4.25. (also hope this helps everyone who finds this in search for the answer)