Dylan has a fish tank at home. he knows its height, h, is one inch less than twice the width, w, and the length, l, of the fish tank is seven inches longer than the height. which of the following statements is true? a. the trinomial expression 4w3 - 10w2 + 6w represents the volume of the fish tank. b. the binomial expression 2w + 6 represents the length of the fish tank. c. the monomial expression 2w represents the height of the fish tank. d. the binomial expression 4w3 + 10w2 represents the volume of the fish tank.

option (B) is correct.

The binomial expression 2w + 6 represents the length of the fish tank.

Step-by-step explanation:

Dylan has a fish tank which is in the shape of a cuboid In this way, the volume of the tank is given by this expression:

Where:  h is the height  of tank

w is the width of tank  and

l is the length  of the tank.

Given :  height of tank , h, is one inch less than twice the width, w.

Mathematically,  

also, The length of the tank l is seven inches longer than the height.

Mathematically,

Thus, volume of tank is

Thus, the volume of tank is

Hence, from the given option only option (B) is correct.

The binomial expression 2w + 6 represents the length of the fish tank.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

the answer is c hope it

step-by-step explanation: