Answer:
7
Step-by-step explanation:
280=40t/40
t=7
Answer:
21 over 6 (21/6)
26 over 6 (26/6) =47 over 6 (47/6)
your final answer is 7 5/6
Step-by-step explanation:
Answer:
Relate the points down below to yourself and give examples
Step-by-step explanation:
You show confidence and leadership
Being yourself/unique
You speak and interact kindly with everyone
You show respect and concern for others
You give advice to those who need it
You have humility and a willingness to admit mistakes.
You do good things outside of school
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>
Yes, Lord Vader !
2/3 x + 5 = 1/2
Multiply each side by 2 : 4/3 x + 10 = 1
Multiply each side by 3 : 4 x + 30 = 3 <== equivalent equation
without fractions
Subtract 30 from each side: 4x = -27
Divide each side by 4 : x = -27/4 = -6.75
