X=-b/2a is the formula for finding the axis of symmetry
So x= -30/2(5)
X=-30/10
X=-3
Because the axis of symmetry is -3, we know where to place our line, and we also know that the parabola is open downwards, which means that the vertex will be maximum. To find the vertex, plug in your values with the axis of symmetry as a midway point. Plug that in for x and so you should have the following:
F(x)
Y(f(x) and y variables are interchangeable) =5(-3)^2-30(-3)+49
Solve for y(f(x))
5(-3)^2-30(-3)+49
(-3)^2=3^2
3^2*5+30*3+49
Multiply
3^2*5+90+49
Add numbers
3^2*5+139
9*5=45
45+139=184
Y=184
So, your vertex would be
(-3,184) and it would be maximum. From there you can plug in the rest of your table of values.
That will be A bc B is much longer than A
Answer:
17
Step-by-step explanation:
an=a1+(n-1)d
a22=-25+21(2)
a22=17
Answer:
The total amount of lawns to be mowed would be 20 in 35 hours.
Step-by-step explanation:
It takes an hour and 45 minutes to mow one lawn. When you multiply the 7 hours by 5 you get 35 hours. Same thing if you multiply the 4 lawns by 5 you get 20 lawns.
Answer:
x=2+ or - the square root of 3
Step-by-step explanation:
solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
