Use the rational root theorem:
=16,
=1
The dividers of
: 1,2,4,8,16
The dividers of
: 1
Therefore, check the following rational numbers: +-
is a root of the expression, so factor out x-4
Compute
to get the rest of the equation.
Cancel the common factor:
is the final answer
Answer:
23. 92 points
24. 18.5 years old
Step-by-step explanation:
set up an equation
23. 79=chicago-13
add 13
chicago=79+13=92
24. 15.5=lou-3
loud=15.5+3=18.5
Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
_____
<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
If he ate 4 of them, but it means he ate 2/5 muffins,
4 muffins = 2/5 muffins
You substitute x muffins for how much muffins she baked in all -
2/5* x muffins = 4
2/5 multiply by 2/5 to cross it out. Do the same to the other side.
x= 4 *5/2
x = 10 muffins
So there were 10 muffins in all
