Answer:
Option A.
Step-by-step explanation:
The given expression is
where,
.
We need to find the expression which is equivalent to the given expression.
The given expression can be rewritten as
Therefore, the correct option is A.
Answer:
Step-by-step explanation:
1) The given inequality is



Arranging the terms with p² and p, we get

Hence, the inequality is of the form
Ap² + Bp + c < 0
2. A quadratic equation of the form
Ap² + Bp + c < 0 with A > 0 looks like
<u>Check the attached image</u>
The region where the values are negative lies between p₁ and p₂ ...
The p₁ < p < p₂
Start with how much profit they are making off each race entry. People pay $55 to race, but $15 of that is expenses so they are only profiting $40 for each entry. Now write one side of the equality. They start with $10,000 in donations, and then have a $40 profit for each race entry. So 10,000+40x. X will represent the unknown number of race entries. What do we want that expression to be equal to? We want 10000+40x>55000. It can also be greater than or equal to, not just greater than.
Solve for x. Subtract 10000 from each side resulting in 40x>45000. Divide each side by 40 to solve for x. X>1125. X needs to bbe greater than or equal to 1125. If there are 1125 race entries, the charity will profit exactly $55000, so the lowest number of race entries is 1125
Assuming that the positive response for program 1 is the first percentage for each city, and the positive response for program 2 is the second percentage, the chance of a positive response for program 2 given that the individual is from LA is 88.1%
Answer: -1
Step-by-step explanation:
10^-3 x 10 = 10^-2
But you need it to be 1/10^3
So 10^-2 x 10^-1 = -2 + -1
= 10^-3
In order to put it in simplest form, the power needs to be positive.
So = 1/10^3
Meaning the missing power is -1