When it's laid out like that. 2 division statements on either side with one unknown variable you just cross multiply really easy
5 x 24 / 6 = 20
Take the number that's on the same position of the x thats 5 then multiply it to the numerator or denominator of the x thats 24 then divide it to its denominator thats 6
To solve this, we’ll have to use inverse operations.
Since addition is the inverse to subtraction, we’ll add 20 to 620.
20 + 620 = 640
From there, since division is the inverse of multiplication, we’ll divide .75 by 640.
640/.75 = 853.33333 repeating. We can round this to 853.33, to round to the nearest hundredth.
Therefore, 853.33 would be your answer! You can check this by solving the equation forwards (853.33 x .75 = ~640, 640 - 20 = 620.)
Hope this helps! :)
7 or 8 since 2 and a half hours isnt an even amount of time so thered be an extra 10 minutes
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19
I'm going to assume the given equation equals zero..
So, If we add subtract 19 from both sides of the equation we get the perfect square.
4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0
for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)
Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.
