Question: 2c - 5 = 9
Answer: c = 7
Quadratic formula is x = -b+ or- sq rt b^2-4ac / 2a
a=2 b=5 c=-3
-5 +or- sqrt 5^2-4(2)(-3) / 2(2)
-5 +or- sqrt 49/ 4
-5 + 7 /4 = 2/4 = 1/2
-5 - 7 /4 = -12/4 = -3
Factoring a*c is 2*-3 =-6
Factors of -6 that add to 5 are 6 and -1
Split 5x into +6x-1x
2x^2+6x-1x-3 and group
2x(x+3)-1(x+3)
(x+3)(2x-1)=0
x+3=0 gives x=-3
2x-1=0 gives x=1/2
Answer:
There are 96 ways different 4 digit numbers which can be made from these 5 digits.
Step-by-step explanation:
There are 5 different digits. The first one must be
1 3 5 or 7
So you can have 4 for the first one. Now the zero can be put into the mix.
4 * 4 * 3 * 2
96
Out of the 130 people surveyed, 99 people said they liked the movie. So to figure out the probability that the next person likes the movie, you divide 99 from 130.
The answer is approximately 76%.
<span>Each ticket costs $10. He bought "x" tickets. Ticket cost = 10*x
Each bag of popcorn costs $5.
He bought "y" bags of popcorn.
Popcorn cost = 5*y
Service fee: $3
Total cost = 10x + 5y + 3 <= $75 is the inequality.
10x + 5y <= 72
If x = 4,
then 40 + 5y <= 72
5y <= 32
y <= 6.4
So y = 6 bags of popcorn.</span>