Answer:
See below
Step-by-step explanation:
<u>Part A</u>
Remember that x-intercepts are located where y=0:
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and 
<u>Part B</u>
Since the leading coefficient, -16, is negative, the parabola will open downward, making the vertex a maximum. We can determine the x-coordinate of the vertex using 
and plug it into the function to find the y-coordinate:
Now we find the y-coordinate given the x-coordinate:
Therefore, the coordinates of the vertex are 
.
<u>Part C:</u>
Notable points of a quadratic function include its x-intercepts, y-intercept, and vertex. Plotting these points on a graph help to visualize what the resulting graph of the function looks like. I've attached a graph with the function and the notable points for you to see.
i used photo math and i got this 5a power+3a-13
Answer:
ok so the
the length is 20
the width is 10
the height is 5
Step-by-step explanation:
ok i got this by guess and check
twice as long as it is wide so i am saying that it is 10 wide so it would be 20 long and if it is twice as wide as it is tall then it is 5 because 10/2=5
20+10+5=35
Answer:
For this case we want to test if in IT companies more than 20% of employees prefer to use Skype rather than a mobile phone (alternative hypothesis) and the complement would be the the null hypothesis. So then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis: 
And for this case we should use a righ tail test based on the alternative hypothesis.
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if in IT companies more than 20% of employees prefer to use Skype rather than a mobile phone (alternative hypothesis) and the complement would be the the null hypothesis. So then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And for this case we should use a righ tail test based on the alternative hypothesis.
