You need to subtract the bonus points form the final score: 91-4=87
First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so
. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:
Similarly, the area of a triangle is one half times base times height, so
. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
Now the only thing left is add our areas:
We can conclude that the correct answer is <span>
A. 102</span>
Answer:
(x-9)(x²+9x+81); it'll give a difference of cubes
Step-by-step explanation:
Generally, the difference of cubes formula is (a³-b³)=(a-b)(a²+ab+b²), and the third option is the only one which fits it; with "a"= x and "b"= 9.
*The sum of cubes formula is (a³+b³)=(a+b)(a²-ab+b²); for future reference.
Answer:
A. f and h
Step-by-step explanation:
For a linear function the First Differences of the y-values must be a constant. i.e. if we take the difference between any two consecutive y values or values of f(x) it should be the constant. For this rule to work, x values must change by the same number every time, which is true for all three given functions.
For function f:
The values of f(x) are: 5,8,11,14
We can see the difference in consecutive two values is a constant i.e. 3, so the First Difference is the same. Hence, function f is a linear function.
For function g:
The values of g(x) are: 8,4,16,32
We can see the difference among two consecutive values is not a constant. Since the first differences are not the same, this function is not a linear.
For function h:
The values of h(x) are: 28, 64, 100, 136
We can see the difference among two consecutive values is a constant i.e. 36. Therefore, function h is a linear function.
Answer:
16.9%
Step-by-step explanation:
Let's find the answer by using the following formula:
final people=(initial people)+((initial people)*(percent increase)) which can be written as:
percent increase=((final people)-(initial people))/(initial people) so:
percent increase=(83-71)/71=0.169=16.9%
In conclusion, the percent increase is 16.9%.
