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.
Answer:
2 23000745000000000000000000000000000000000000000000000000 ( if I counted correctly !)
Step-by-step explanation:
It is really big ....move the decimal to the right 56 places
the e means exponent 2.2300745 x 10^56
Answer:
2x3=6 and that the number of frogs heather has or you can do this Ava has 2 frogs and heather has 1/3 more then take the 2 and add it to the 1 and that makes three. then take both of the threes and add them together and you then have the same number of 6
Step-by-step explanation:
Answer:
AC=15
BC=17
AB=?
According to Pythagore's Theorem: AB² + AC² = BC².
AB² = BC² - AC²
= (17)² - (15)²
= 289 - 225
AB² = 64
AB = √(64)
= 8.
So AB = 8.
So we will be using dimensional analysis to solve it as such:
In short, 23,843 kL is 6,291,029.02 (6,291,029 rounded to the whole gallon) gallons.
