Answer:
9
Step-by-step explanation:
A quadratic equation is
The axis of symmetry is 1. This means that some value of
-b/2a =1.
f(0) represent one of the horinzontal roots. Since f(0) equal 0, the constant is 0.
Notice how x=1 is the line of symmetry. This means when x=4 and x=-2, the quadratic is equal. so consider this equation.
=-24
16a+4b= -24
4a-2b=-24
Solve for a by elimination.
2(4a-2b=-24)= 8a-4b=-48
Add both equations.
(16a+4b=-24)+(8a-4b=-48)= 24a=-92
Solve for a.
24a=-92
a=-3
Subsitute to in for b.
16(-3)+4b=-24
-48+4b=-24
4b=24
b=6
This means a=-3
b=6
So b-a is
6+3=9
<span>Simplifying
(c + 3) + -2c + -1(1 + -3c) = 2
Reorder the terms:
(3 + c) + -2c + -1(1 + -3c) = 2
Remove parenthesis around (3 + c)
3 + c + -2c + -1(1 + -3c) = 2
3 + c + -2c + (1 * -1 + -3c * -1) = 2
3 + c + -2c + (-1 + 3c) = 2
Reorder the terms:
3 + -1 + c + -2c + 3c = 2
Combine like terms: 3 + -1 = 2
2 + c + -2c + 3c = 2
Combine like terms: c + -2c = -1c
2 + -1c + 3c = 2
Combine like terms: -1c + 3c = 2c
2 + 2c = 2
Add '-2' to each side of the equation.
2 + -2 + 2c = 2 + -2
Combine like terms: 2 + -2 = 0
0 + 2c = 2 + -2
2c = 2 + -2
Combine like terms: 2 + -2 = 0
2c = 0
Solving
2c = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Divide each side by '2'.
c = 0
Simplifying answer c = 0</span>
Answer: There are 646,646 different selections.
The library is going to select 10 books from a set of 22 books. There are a lot of different possibilities. This is a combination problem.
The standard notation is 22 C 10, this means that we are selecting 10 from 22 and the order doesn't matter. Most calculators will do this for you.
If you want to do the work by hand, evaluate: 22! / (10! x 12!)
Either way you will get 646,646 possibilities.<span />
Answer:
3240=2^3*3^4*5=2^3*3^3*3*5
k*2^3*3^3*15
so k=15^2=225
Step-by-step explanation:
Answer:
1. x²
2. xy
3. 2x
4. 4x
5. -4y
6. -8
Step-by-step explanation:
Blank 1:
-x·x=x²
Blank 2:
y·x=xy
Blank 3:
2·x=2x
Blank 4:
-x·-4=4x
Blank 5:
y·-4=-4y
Blank 6:
2·-4=-8
