Can someone help pls and ty :^)

When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? x equ

jarptica [38.1K]

Answer:

r = 105

Step-by-step explanation:

Given quadratic equation:

x² − 9x − 6

Quadratic formula is given by:

(-b ± √b² - 4ac) ÷ 2a

For the equation: x² - 9x - 6

a = 1, b = -9 and c = -6

Substitute in the quadratic formula:

(-b ± √b² - 4ac) ÷ 2a

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2

Therefore, the value of r is 105

4 0

3 years ago

Line PQ is represented as

babymother [125]

The symbol of a line is ↔ . Hence, a line PQ is symbolically written as ←→PQ P Q ↔ .

8 0

3 years ago

The box plots show the data distributions for the number of customers who used a coupon each hour for two days of a store sale.

lidiya [134]

Answer:

2

Step-by-step explanation:

We can observe from the box plot the medians of both days.

The line in the middle of the box plot represents the median.

The median for Day 1 is: 6

The median for Day 2 is: 8

We have to find the difference between medians of both box plots so the difference is:

8 - 6 = 2

The difference between the medians is 2 ..

4 0

3 years ago

Read 2 more answers

If $10,000 is borrowed with an interest of 5.0% compounded annually, what is the total amount of money needed to pay it back in

svp [43]

Answer:

it is 12500

Step-by-step explanation:

The amount times the percent times the years gives you the intrest and you add that to the amount and that gives you the total

8 0

4 years ago

Read 2 more answers

There are 9 people taking part in a raffle.

Marianna [84]

Answer:

Probability of event A: 1/504

Probablity of event B: 1/84

Explanation:

1. Event A: Bob is the first prize winner, Lena is second, and Ann is third,

The probability that Bob is the first prize winner is one outcome out of 9 possible outcomes, so it is 1/9

The probability that Lena is second, after Bob is the first prize winner is one outocome out of 8 possible outocmes, so it is 1/8

The probability Ann is third, after Bob y first and Lena is second is 1/7.

Thus, the joint probability that Bob is the first prize winner, Lena is second, and Ann is third is the product of the three calculated probabilities:

1/9 × 1/8 × 1/7 = 1 / (9×8×7) = 1/504 ← answer

2. Event B: The first three prize winners are Soo, Omar, and Kira, regardless of order

When the order does not matter, the number of combinations for three different persons win the 3 prizes is C(3,3), which is computed with the corresponding formula:

$C(m,n)=\dfrac{m!}{n!(m-n)!}$

Thus:

$C(3,3)=\dfrac{3!}{(3!(3-3)!}=1$

And the number of possible combinations of winners is C(9,3):

$C(9,3)=\dfrac{9!}{3!(9-3)!}=84$

Then, the probability is the number of favorable combinations, C(3,3) = 1, divided by the number of possible combinations, C(9,3) = 84:

1/84 ← answer

8 0

4 years ago