8p² - 16p = 10
8p² - 16p - 10 = 0 Divide through by 2
4p² - 8p - 5 = 0
Multiply first and last coefficients: 4*-5 = -20
We look for two numbers that multiply to give -20, and add to give -8
Those two numbers are 2 and -10.
Check: 2*-10 = -20 2 + -10 = -8
We replace the middle term of -8p in the quadratic expression with 2p -10p
4p² - 8p - 5 = 0
4p² + 2p - 10p - 5 = 0
2p(2p + 1) - 5(2p + 1) = 0
(2p + 1)(2p - 5) = 0
2p + 1 = 0 or 2p + 5 = 0
2p = 0 -1 2p = 0 - 5
2p = -1 2p = -5
p = -1/2 p = -5/2
The solutions are p = -1/2 or -5/2
Answer:
You didn't give the geometric sequence in question.
But to find the nth term of a geometric sequence, use the formula
Sn = ar^(n - 1)
Where a is the first term of the sequence
r is the common ratio of the sequence.
Example: To find the nth term of the geometric sequence
1/2, 1/4, 1/8, 1/16, ...
Here, a = 1/2
r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.
Sn = (1/2)(1/2)^( n - 1)
Apply this method to the sequence you were given, it will be helpful.
4. First find how much sauce is used for 1 person:
2 ÷ 7 = 0.285714285714286
0.285714285714286cups of sauce will make spaghetti for one person.
0.285714285714286 • 210 = 60
60 cups of sauce for 210 people.
5. Found out how much he read in one minute:
40 ÷ 50 = 0.8
0.8 • 80 = 64
In 80 minutes, she will read 64 pages.
6. Found out how much he earns after one month:
9 ÷ 6 = 1.5
1.5 • 12 = 18
18 • 2 = 36
After two years, he will have 36 days of vacationing time
Answer:
it is d inverse
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the graph, we can conclude that,
is less than 2 and not including as there is a hollow circle at the mark 2.
Also, is greater than or equal to 7 including 7 as there is a solid circle at the mark 7
So, the compound inequality will be
Now, the option that simplifies to the above inequality is the required answer.
Let us check the first option.
Therefore, option 1 simplifies to the above compound inequality.
So, the correct answer is option 1.