Answer: A
Step-by-step explanation:
The right answer is: <em>The binomial expression 2w + 6 represents the length of the fish tank.</em>
Dylan has a fish tank, so we assume that this tank is a cube. In this way, the volume of the tank is given by this expression:

Where:
h: height
w: width
l: length
We know the following things:
FIRST.<em> He knows its height, h, is one inch less than twice the width, w.</em>
This can be expressed as the following equation:

SECOND. <em>The length, l, of the fish tank is seven inches longer than the height.</em>
We can express this statement as follows:

By substituting
in
:

49x^2 - 9 = 0
As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:
49 = 7^2
9 = 3^2
x^2 = (x)^2
so...
(7x - 3)(7x + 3) = 0
7x - 3 = 0 7x + 3 = 0
x = 3/7 x = -3/7
Answer:
- 8
Step-by-step explanation:
The common difference d between consecutive terms is
d =
-
, that is
d = - 4 - (- 2) = - 4 + 2 = - 2
To obtain the next term subtract - 2 from - 6
next term = - 6 - 2 = - 8