Paula has a box in the shape of a rectangular prism. The box has a length of 40 inches, a height of 24 inches, and a width of 18
2 answers:
You might be interested in
Answer:
We kindly ask you to see the explanation and the image attached below for further details.
Step-by-step explanation:
From Function Theory we know that third order polynomials are continuous functions with one relative minimum and one relative maximum and whose domain and range comprehends the set of all real numbers. Since the leading coefficient of the polynomial is positive, then two increasing intervals and only one increasing interval exist.
Now we proceed to graph the function and label each relevant information when possible.
Domain
Range
Zeros
x = 3 and x = 6
Answer:
No real roots
Step-by-step explanation:
The given equations are:
We make y the subject in the first equation to get
We substitute into the second expression to get:
We expand to get:
Multiply through by 4 to get:
The discriminant is given by
Since the discriminant is less than zero, the two curves never intersects.
Therefore the system has no real roots
First calculate the Area of MOP by using congruent altitudes.
(Area MOP)/(Area AOM) = PO/OA = (Area BOP)/(Area AOB)
Area MOP = (Area AOM)*(Area BOP)/(Area AOB) = (45)*(15/75) = 9.
Now, let Area CMP = x. And use two sets of triangles with congruent altitudes.
(Area CMP)/(Area BMP) = x/(9+15) = x/24 = (CP)/(BP).
(Area CAP)/(Area BAP) = (x+54)/90 = (CP)/(BP)
So,
(Area CMP)/(Area BMP) = (Area CAP)/(Area BAP)
or
x/24 = (x+54)/90
90x = 24 (x+54) = 24x + 1296
66x = 1296
x = 19
