For this case we must simplify the following expression:
We rewrite the expression as:
We multiply the numerator and denominator by:
We use the rule of power in the denominator:
Move the exponent within the radical:
Answer:
Answer:
We have to:
"All of the plots are the same length, x"
L = x
"and the width of each plot is 5 yards less than the length"
W = x-5
"The total number of plots Liam owns is 20 more than the length of a plot"
20 + x
"the total area of all the plots Liam owns is 2,688 square yards"
A = (20 + x) * (x) * (x-5)
A = (20x - 100 + x ^ 2 -5x) * (x)
A = (x ^ 2 + 15x - 100) * (x)
2688 = (x ^ 3 + 15x ^ 2 - 100x)
x ^ 3 + 15x ^ 2 - 100x = 2688
x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
Answer:
*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.
Answer:
Principal amount= $600
Time= 3 years
Rate of Interest = 6%
SI= PRT/100
= 600x6x3/100
= $108
Interest is $108
Step-by-step explanation:
The value of x after solution of the equation 8x = -16 is -2 and it is not possible to solve this equation using multiplication.
According to the question,
We have the following equation:
8x = -16
Now, this equation can not be solved using multiplication because 8 is already in multiplication with x on the left hand side. If 8 would have been in division then it could be solved using multiplication.
So, dividing by 8 on both the sides:
x = -16/8
x = -2
Hence, the value of x after solution of the equation 8x = -16 is -2 and it is not possible to solve this equation using multiplication.
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In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element. The operation satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility. One of the most familiar examples of a group is the set of integers together with the addition operation, but the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, applies much more widely. It allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way while retaining their essential structural aspects. The ubiquity of groups in numerous areas within and outside mathematics makes them a central organizing principle of contemporary mathematics.[1][2]
Groups share a fundamental kinship with the notion of symmetry. For example, a symmetry group encodes symmetry features of a geometrical object: the group consists of the set of transformations that leave the object unchanged and the operation of combining two such transformations by performing one after the other. Lie groups are the symmetry groups used in the Standard Model of particle physics; Poincaré groups, which are also Lie groups, can express the physical symmetry underlying special relativity; and point groups are used to help understand symmetry phenomena in molecular chemistry.