Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span>
<span>(x−4<span>)2</span>−31=0</span>
<span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
Tan(-180)=0 the answer is 0.
Answer:
X = 75°
Y = 105°
Z =75
Step-by-step explanation:
Answer:
B) Victoria's method is linear because the number of minutes increased by an equal number every month.
Step-by-step explanation:
Zach reading time written in sequence form is given as:
- 10,20,40,80,...
- Each succeeding term is a product of the previous term by 2
Victoria reading time written in sequence form is given as
- Each succeeding term is an addition of 15 Minutes to the previous term.
The statement that best describes the methods used by Zach and Victoria to increase the time they spent reading a book is therefore:
B) Victoria's method is linear because the number of minutes increased by an equal number every month.
Cost of the basic car bought by John Gray = $8250
Optional cost incurred after buying = $324
Total cost before tax = 8250 + 324
= $8574
Percentage of sales tax incurred = 6%
Amount of sales tax charged = (6/100) * 8574
= $514.44
License and registration fees paid = $50
John's total cost = 8250 + 324 + 514.44 + 50
= 9138.44 dollars
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the first option or option "A".
