Answer:
First, a rational number is defined as the quotient between two integer numbers, such that:
N = a/b
where a and b are integers.
Now, the axiom that we need to use is:
"The integers are closed under the multiplication".
this says that if we have two integers, x and y, their product is also an integer:
if x, y ∈ Z ⇒ x*y ∈ Z
So, if now we have two rational numbers:
a/b and c/d
where a, b, c, and d ∈ Z
then the product of those two can be written as:
(a/b)*(c/d) = (a*c)/(b*d)
And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:
(a*c)/(b*d)
is the quotient between two integers, then this is a rational number.
Hello there!
The additive inverse of any number just means to flip it's value.
For example;
The number "3" would have an additive inverse of "-3".
The number "-15" would have an additive inverse of "15".
Since we have "52", we can flip the value sign of it.
We now have -52 and 52.
Since the question asked us to sum our numbers, we need to add them.
-52 + 52 = 0
The sum of 52 and its additive inverse is 0.
I hope this helps!
Answer:
or d = 3.61
Step-by-step explanation:
So assuming that 25cm is 25 square cm because you cannot have a 2 dimentional cake so
600mm by 500mm
to find the area, multiply legnth by width
mm=milimeters
cm=centimeters
this is in mm so
1cm=10mm
1mm=1/10cm
to convert from mm to cm, you divide by 10
we must divide by 10 first
legnth =600mm
600/10=60cm
legnth=60cm
width=500mm
500/10=50cm
width=50cm
area=60 times 50=3000 square cm or cm^2
so 3000 is the area
25 is the area of each cake
divide 3000 into 25 and find how many cakes will fit
3000/25=120
120 cakes will fit
Answer:
- Minimum 100 bicycles
- Minimum cost is 13500
Step-by-step explanation:
<u>Given function:</u>
- C(x) = 3x^2- 600x + 43500
a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
<u>Vertex of the given function is:</u>
b.
<u>Cost at vertex is:</u>
- C(100) = 3*100^2 - 600*100 + 43500 = 13500
