A:
So terms are a group of numbers/variables or a single number/variable. They are separated by + and - symbols.
In the original equation, there are 6 terms: 5x^2, 6x, -3, 4x^2, -8x, and 2.
To find the simplified equation, just combine like terms, which in this case are (5x^2 + 4x^2) + (6x - 8x) + (-3 + 2).
Simplify that, and your simplified equation is 9x^2 - 2x - 1 . And within this simplified equation, there are 3 terms: 9x^2, -2x, and -1.
B:
Going back to A, we see that our simplified expression is 9x^2 - 2x - 1 . Looking at our equation, the coefficient of x is -2.
Answer: It is a quicker way to solve the problem.
<em>*</em><em>100% Correct answers</em>
Question 1
A movie theater was putting up their posters in the frames they had installed on the wall for upcoming attractions. They have 8 new movie posters and only 4 installed frames along the wall to hang them. So, they wont be able to use them all. In how many different ways can they arrange the new movie posters in the frames?
1680
Question 2
At a mall there are 5 jewelry stores. Allison is looking to purchase a necklace but only has time to visit 3 jewelry stores. In how many paths could she take to visit 3 of the 5 stores at the mall?
60
Question 3
The principal is collecting data to determine how many graduation tickets will be needed by students at the next graduation. She randomly asks 3 students from Mr. Winking's Class which has 16 students in it. How many different groups of 3 does the principal have to pick from?
560
Question 4
How many 2 topping pizzas are possible at Padre Juan's Pizza if there are 12 toppings to choose from and the order in which you put the toppings on the pizza does not matter?
66
Question 5
The Miss Teen Georgia pageant is taking place and there are 25 contestants. How many different ways could the pageant have a winner, runner up, and a 2nd place winner.
13800
Hi there!
x > 0.073171.
Why?
First to solve we need to add 30x to both sides of the inequality.
-9.5x - 1.5 + 30x > -30x + 30x
20.5x - 1.5 > 0
Next we need to add 1.5 to both sides.
20.5x - 1.5 + 1.5 > 0 + 1.5
20.5x > 1.5
Finally, divide both sides by 20.5.
20.5x/20.5 > 1.5/20.5
x > 0.073171
So our answer is x > 0.073171.
Hope this helps!
Answer:
Step-by-step explanation:
We would assume a binomial distribution for the number of college students that said they use credit cards because of the rewards program. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 37% = 37/100 = 0.37
q = 1 - p = 1 - 0.37
q = 0.63
n = 10
a) P(x = 2)
Therefore,
P(x = 2) = 10C2 × 0.37^2 × 0.63^(10 - 2)
P(x = 2) = 45 × 0.1369 × 0.02481557803
P(x = 2) = 0.15
b) P(x>2) = 1 - P(x ≤ 2)
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x = 0) = 10C0 × 0.37^0 × 0.63^(10 - 0) = 0.0098
P(x = 1) = 10C1 × 0.37^1 × 0.63^(10 - 1) = 0.058
P(x = 2) = 0.15
P(x ≤ 2) = 0.0098 + 0.058 + 0.15 = 0.22
P(x>2) = 1 - 0.22 = 0.78
