Step-by-step explanation:
y = x² - 4x + 7
the general vertex form is
y = m(x-h)² + k
to bring the part "x² -4x" to an expression of (ax + b)² we need to add 4, as "x² - 4x + 4" = (x - 2)².
and since we add 4 there, we need to subtract 4 overall again to keep the value of the expression the same :
y = x² - 4x + 4 + 7 - 4 = (x - 2)² + 7 - 4 = (x - 2)² + 3
and so, that is the vertex form :
y = (x - 2)² + 3
Ryan is correct, the mean is about 8.1.
To find the mean, you have to add up all the values, then divide by the total amount.
For Sample A:
60 x 6 + 90 x 7 + 145 x 8 + 150 x 9 + 55 x 10 = 4050
If you add up all the adults, you have 500.
Dividing 4050 by 500 = 8.1
Sample B will produce a very similar result.
90b + 150g > 500
0.35b + 2.50g < 15.00
what, is the question asking. These might help
I believe you combine the first and last terms first because they have the same denominator
x ≠ - 4, 3
the denominator of the fraction cannot equal zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the values that x cannot be
solve x² + x - 12 = 0
(x + 4)(x - 3) = 0
equate each factor to zero abd solve for x
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
restrictions on x are : x ≠ - 4, 3
