Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
Answer:
Step-by-step explanation:
we are given a trapezoid
we want to figure out the area
remember that,
where a and b represent the parallel lines and h represents the height
we get from the pic that a and b are 5 and 15 respectively and h is 7
so substitute:
simplify addition:
simplify division:
simplify multiplication:
since we multiply two same units we of course have to use square unit
hence,
Answer:
(6,6)
Step-by-step explanation:
Hope this helps!
Answer:
Mean weight = 19 pounds
Step-by-step explanation:
From the question given above, the following data were obtained:
17, 11, 21, 24, 22
Number of data (n) = 5
Mean weight =?
The mean of a set of data is the value obtained by adding all the data together and dividing the result obtained by the total number of data. Thus, the mean can be obtained as follow:
Summation of data = 17+ 11 + 21 + 24 + 22
= 95
Number of data = 5
Mean = Summation of data / Number of data
Mean = 95 / 5
Mean weight = 19 pounds
Therefore, the mean weight of the data is 19 pounds
Answer:
60x
Step-by-step explanation:
