3 times the sum of a number and 5 (Write this word expression as an algebraic expression. Use x as your variable.
1 answer:
You might be interested in
A function assigns the values. The number of people that were recruited in year 6 is 192.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
Given that the number of people per year is represented by the function .
In the given function, t represents the number of years.
Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,
f(6) = 3(2)⁶
= 3(64)
= 192
Hence, the number of people that were recruited in year 6 is 192.
Learn more about Function here:
#SPJ1
Ques 8:
The Volume(V) in cubic feet of an aquarium id modeled by the polynomial function V(x)=
a) We have to explain that why x =4 is not a possible rational zero.
By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.
For this , we will substitute the value of x in the given function.
which is not equal to zero.
Therefore, x=4 is not a possible rational zero.
(b) To show that (x-1) is a factor of V(x).
By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.
Let (x-1)=0
So, x=1.
Substituting x=1 in the given function.
V(1) = 0
Therefore, (x-1) is a factor of V(x).
Now we will factorize the given function.
Dividing the given function by (x-1).
On dividing, we get quotient as
So, factored form is =
=
=
=
(c) So, the dimensions are 1,2 and -5.