<span>The dimension of the rectangle would be length=#4/sqrt3# and width =4-#4/3= 8/3#
Explanation:
Let one vertex on the x axis be x, then the other vertex would be -x. Length of the rectangle would be thus 2x and width would be #4-x^2#
Area of the rectangle would be A=#2x(4-x^2)= 8x-2x^3#
For maximum area #(dA)/dx=0=8-6x^2#, which gives x=#2/sqrt3#
The dimension of the rectangle would be length=#4/sqrt3# and width =4-#4/3= 8/3#
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To find the range we need to find the vertex of the parabola which is at (-b/2a , y)
-b/2a would be 2/2 = 1 ... so find the y value at x = 1
12 - 2(1) - 15 = 1-17 = -16
So the vertex is at (1,-16)
Since the parabola opens upward from that point the minimum value of the range is y = -16
The range would include the point -16 so it is actually
R = [-16,infinity)
Try going with this method for that question ⬇⬇⬇⬇
k = 273 + C
The total number of days taken to make the batch of pens is 22.
<h3>What is Linear Expression?</h3>
An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1.
Based on the given conditions, formulate: 8 + 20 - 8 X 9 ÷ 12
Calculate the product or quotient: 8 + 20 - 72/12
Cross out the common factor: 8 + 20 - 6
Calculate the sum or difference: 28 - 6
Calculate the sum or difference: 22
Thus, the total number of days taken to make the batch of pens is 22.
Learn more about Linear Expression from:
brainly.com/question/819568
#SPJ1
Answer:
3 2/5
I converted these into decimals, because I find it easier ^.^
We have an 8 feet board, and we twice remove 2 1/3 from that number.
8 - 2 1/3 = 5.7
5.7 - 2 1/3 = 3.4 or 3 2/5
~Hope this helps~
