Answer:
The big number is 41 and the small number is 32.
Step-by-step explanation:
b + s = 73
2b - s = 50 Add these equations together
3b = 123 Divide both sides by 3
b = 41
Now plug this into the first equation to find s
41 + s = 73
-41 - 41
s = 32
Answer:
A
Step-by-step explanation:
Let the smaller room have an area of x^2
Let the larger room have an area of (x + 3)^2
(x+3) ^2 + x^2 = 89 Be careful not to make it 89^2.
x^2 + 6x + 9 + x^2 = 89 Expand the binomial squared
2x^2 + 6x + 9 - 89 = 0 Subtract 89 from both sides
2x^2 + 6x + 9 - 89 = 0 Combine
2x^2 + 6x - 90=0 Divide by 2
x^2 + 3x - 45 = 0 This factors.
(x + 9)(x- 5) = 0
X + 9 gives nothing useful
x - 5 = 0
x = 5
x + 3 = 5+3 = 8
So the answer is A
Answer:
x = 27
Step-by-step explanation:
Answer:
The dimensions of the sports field are 80 yards and 3 - 5x yards
Step-by-step explanation:
Answer:
Option 1 is correct.
Step-by-step explanation:
The given polynomial is

we have to find all the rational roots of the polynomial f(x)
The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number i.e in the form of 
where p is a factor of constant term and q is the factor of coefficient of leading term.
In the given polynomial the constant is -12 and the leading coefficient is 20.


So, the all possible rational roots of the given polynomial are,

Now, the rational roots of polynomial satisfy the given polynomial



Hence, rational root.

rational root

not a rational root.
hence, option 1 is correct