it's good to write it out
length = 5 + width
area = 150
width = x
length = 5 + x
area = length * width
so
(5 + x) (x) = 150
5x + x^2 = 150
x^2 + 5x - 150 = 0
following you have to guess what 2 numbers when multiplied male 150 and when added make 5
and they are 15 and 10
(x +15) (x-10)
x = -15
x = 10
so the dimensions are
length = 15
and
width = 10
The coefficients of variation shows that D. The grade point averages of females are more variable than males.
<h3>How to illustrate the information?</h3>
From the complete information, the coefficients of variation for male is 21.3% and the coefficient of variation for female is 25.1%.
In this case, the coefficients of variation shows that the grade point averages of females are more variable than males.
In conclusion, the correct option is D.
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Answer:
4 & 1
Step-by-step explanation:
(2x+4)(-2x+1)
It's 4 and 1 because those are the points where the graph touches the x axis.
- Yes, the height, h(t) of a ball t seconds after it's dropped from the third floor of a building is a function.
- No, table B is not a function because no function can have the same y-values (5) for different x-values (1 and 8).
- Yes, table C is a function because it has different y-values for same x-values.
- Yes, graph D is a function because it has different y-values for same x-values.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
For this exercise, we would indicate whether or not each of the above mathematical relation represents a function:
- Yes, the height, h(t) of a ball t seconds after it's dropped from the third floor of a building is a function.
- No, table B is not a function because no function can have the same y-values (5) for different x-values (1 and 8).
- Yes, table C is a function because it has different y-values for same x-values.
- Yes, graph D is a function because it has different y-values for same x-values.
In conclusion, we can infer and logically deduce that a function maps every x-value in a valid domain to a single y-value only.
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Answer:
C
Step-by-step explanation:
The bottom of the pentagon has a ratio of 6\4 which is equal to 3\2