Answer:
-16 > n or n < -16
Step-by-step explanation:
First, we can write the inequality and distribute.
-6n-12 > 3(-n+12)
-6n-12 > -3n+36
Get rid of a variable first (it makes solving a lot easier). We can add 6n to both sides.
-6n-12 > -3n+36
<u>+6n +6n</u>
-12 > 3n+36
Now, we can subtract 36 on both sides.
-12 > 3n+36
<u>-36 -36</u>
-48 > 3n
Divide by 3 on both sides.
-48 > 3n
<u>/3 /3</u>
-16 > n or (if it's easier) n < -16
Hope this helps!! Have a wonderful day C:
the slope of the line x=4 is undefined because x=4 is vertical line
Answer:
a) factors of polynomial are: (x+1)(x-2)(x-5)
b) the required polynomial in standard form is:
Step-by-step explanation:
The polynomial has zeros at -1,2,5
Part A) Write the three factors of the polynomial
we have x=-1, x=2 and x=5 as zeros of polynomial
so factors will be:
(x+1)=0, (x-2)=0, (x-5)=0
So, factors of polynomial are: (x+1)(x-2)(x-5)
Part B) Write the polynomial in standard form
For finding polynomial, we will multiply all the factors i.e
(x+1)(x-2)(x-5)
So, the required polynomial in standard form is:
Answer:
No
Step-by-step explanation:
In a dilation, size is not preserved. Triangles must have the same shape and size in order to be congruent. If it is dilated by 2/3, then it gets smaller, and is therefore not the same size.
Given that a movie producer conducted a survey after a preview screening of her new
movie to find out how the film would be received by viewers from
different age groups.
Given the table that shows the numbers of viewers in
different age groups who rated the film excellent, good, average, and
poor.
Viewer's Age Group Excellent Good Average Poor Marginal Total
16–25 52 42 12 7 113
26–35 33 50 5 9 97
36–45 58 12 28 34 132
46–55 25 17 22 12 76
56+ 12 5 3 8 28
Marginal Total 180 126 70 70 446
<span>The number of viewers from the 46 - 55 age group who rated the film excellent is 25.
Therefore, the percentage of the total survey group who </span><span>rated the film excellent and also was from the 46-55 age group</span> = 25 / 446 x 100% = 5.61%