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➷ Use this formula:
Area = ((a + b)/2) x h
a is the top length
b is the bottom length
h is the vertical height
1) Substitute in the values:
((3.8 + 6.2)/2) x 7 = 35ft^2 <== this is the answer
2) Substitute in the values:
((10.3 + 15.1)/2) x 12.6 = 160.02in^2 <== this is the answer
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<u>Answer:</u>
<u>Explanation:</u>
let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number
i.e 4 multiplied by 
is less than the difference of 40 and the number x i.e 40 - x
x is for sure less than 40 as is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than .
So, the inequality obtained can be written as
Let's assume
x represent the number of trips that the larger truck makes
so, we are given
If the smaller truck makes 18 more trips than the larger
so,
number of trips for larger truck =x
number of trips for smaller truck =x+18
The capacities of two trucks are 3 tons and 4 tons respectively
so, capacity of smaller truck per trip =3 tons / trip
total ton carried by smaller truck = (number of trips for smaller truck)*(capacity of smaller truck per trip)
now, we can plug values
total ton carried by smaller truck =3*(x+18)
total ton carried by larger truck = (number of trips for larger truck)*(capacity of larger truck per trip)
total ton carried by larger truck =4x
it can deliver 12 more tons of freight than the larger
so, we get
we can move 4x on left side
we get
...............Answer
Answer: The answers for both (a) and (b) is YES.
Step-by-step explanation: A polynomial is an algebraic expression containing two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.
For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.
(a) Yes, the sum of two polynomials is again a polynomial. For example,
if p(x) = ax² + bx + c and q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be
p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.
(b) Yes, the difference of two polynomials is again a polynomial. For example,
p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.
Thus, the answer is YES.
