Answer:
Price per pound is $2.35.
Step-by-step explanation:
The lowest unit of this currency is the cent which is one hundredth of a dollar so the price is rounded to the nearest hundredth ( that is the second place of decimals).
As the third place of decimals is 8 we round up the second place so the price per pound is $2.35.
Answer:
Step-by-step explanation:
A picture of the question is shown in the figure attached. There we can see that the step corresponding to Properties of exponents is the option:
which is equivalent to
Answer:
C. 46.2
Step-by-step explanation:
so
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
Note that it said find "a" formula for P(x). We can infer from this as there are multiple possibilities.
In fact, there are many possible P(x) that fits the bill.
You got the most important part correct, namely
(x+5)(x-5)^2.
In general, P(x)=A(x+5)(x-5)^2 will work, but we need to satisfy also y-intercept of P(0)=-75.
If we expand the expression, we get
P(x)=A*x^3A-5A*x^2-25A*x+125A
=>
P(0)=125A.
So setting A=-3/5 => P(0)=-75 as required.
or
P(x)=-3/5(x+5)(x-5)^2
will satisfy all requirements.
It would be nice exercise for you to confirm that it is indeed the polynomial required.
