If I'm correct 158 and S are supplementary angles, meaning that they both must add up to 180, so to find the answer subtract 158 from 180
180 - 158 = 22
S = 22
1) The domain is all the possible x values in the function so it would be [-4,4]
2) There are only 3 zeros shown on the graph and they are (-2, 0) (0, 0) (2, 0) the zeros are the value of x when y = 0.
3)The function is positive/Negative is asking for what x values make the y values positive aka interval notation. The function is positive if x = (0, 2) because 0 and 2 aren't included you use parentheses () instead of brackets []
The function is negative if x [-4, -2), (-2,0), (2,4]
Hello!!!
Answer:
11 cups of chocolate chips
Step-by-step explanation:
If we use the information we got from the problem we can see that 8 gives us 12. So all we need to do is add more to the orignal number(8) unitll we get 15. So 11 cups gives us 15 cookies.
Have a nice day!!!
Answer:
Consider the complete question is,
'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,
- Determine the probability that Frank will win the contest,
- Determine the probability that Frank will not win the contest'
Solution :
We know that,
Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.
We have,
![\frac{\text{Number of ways of winning the contest}}{\text{Number of ways of not wining the contest}}=\frac{2}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BNumber%20of%20ways%20of%20winning%20the%20contest%7D%7D%7B%5Ctext%7BNumber%20of%20ways%20of%20not%20wining%20the%20contest%7D%7D%3D%5Cfrac%7B2%7D%7B9%7D)
So, total outcomes = 2 + 9 = 11,
![\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cfrac%7B%5Ctext%7BFavourable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
Thus, the probability that Frank will win the contest = ![\frac{2}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B11%7D)
And,
The probability that Frank will win the contest = ![\frac{9}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B11%7D)
Answer:
<h3>The answer is option C</h3>
Step-by-step explanation:
6x³ - 4x² - 16x
To factorize the expression first factor out the GCF out
The GCF in the expression is 2x
That's
2x( 3x² - 2x - 8)
Next Factorize the terms in the bracket
To factorize write - 2x as a difference
that's
2x( 3x² + 4x - 6x - 8)
<u>Factor out x from the expression</u>
2x [ x( 3x + 4) - 6x - 8 ]
<u>Next factor out - 2 from the expression</u>
2x [ x ( 3x + 4) - 2( 3x + 4) ]
<u>Factor out 3x + 4 from the expression</u>
We have the final answer as
<h3>2x( 3x + 4)( x - 2)</h3>
Hope this helps you