Group like terms , factor out common variable.
(xz+x) + (yz+y)
x(z+1) + y(z+1)
factor out (z+1)
= (z+1)(x+y)
= solution C.
Answer: x = -7 or x = -4
Step-by-step explanation: When an equation has a squared term in it
such as x² + 11x + 28 = 0, it's called a polynomial equation.
The rule for solving a polynomial equation
is to first set it equal to zero, then factor.
Since this equation is already set equal to zero,
our first step is to factor the left side of the equation.
To factor x² + 11x + 28, we need the factors
of 28 that add to 11 which are 7 and 4.
So we have (x + 7)(x + 4) = 0.
Whenever two terms are multiplied together to equal zero,
this means that either one or the other must equal zero.
So if (x + 7)(x + 4) = 0, then either x + 7 = 0 or x + 4 = 0.
Solving each equation from here, we get x = -7 or x = -4.
So our solution is {-7, -4}.
Answer:
3in up per foot across
Step-by-step explanation:
4ft across 12in height
6ft across 18in height
So for every 2ft it goes up 6” which is a ratio of 1ft:3in so the answer to the rate of change is 3in up per 1ft across
Answer:
Step-by-step explanation:
Suppose that at time
we have x mold cells. We are told that after 12 minutes the amount present is double. That is a
we have 2x cells. Then, at
we have (2x)*2 = 4x. We can continue as follows
we have (4x)*2 = 8x.
we have (8x)*2 = 16x
(one hour later) we have (16x)*2 = 32x.
So after one hour from now we have 32x cells.