What number is added to make a perfect square ?

Use completing the square to solve x^2+6x=13

lara [203]

Answer:

x = -3 +/- square root(22)

Step-by-step explanation:

x = -b +/- square root(b^2 - 4ac) / 2a

ax^2 + bx + c = 0

these are both the quadratic formula but one is solved for the x and another for 0

a= 1

b= 6

c = -13

x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)

x = -6 +/- sqrt( 36 + 52) / 2

x= -6 +/- sqrt (88) / 2

sqrt of 88 = 2 x sqrt (22)

divide 2 on each

x= -3 +/- sqrt (22)

8 0

2 years ago

Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the differenc

klasskru [66]

Given:
Choose a number between 0 and 20.
If the difference is less than 10 then Eric wins.
Let us x is Eric's number. 0 < x < 20
If Eric wins. |x -7| < 10
|x-7| < 10 → -10 < x-7 < 10 → -10 + 7 < x - 7 + 7 < 10 + 7 → -3 < x < 17

Taking into account that the number must be given between 0 and 20.
0 < x < 20
-3 < x < 17

→ 0 < x < 16

7 0

3 years ago

Read 2 more answers

Which statement correctly compares the mean number of students for the data in the plots?

satela [25.4K]

Answer:

"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."

Step-by-step explanation:

We need to compute the mean for each.

Poplar Middle School:

Lets list the numbers

20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,24

The average is sum of all divided by number of numbers, that will be:

435/20 = 21.75

Oak Middle School:

The numbers are:

20,21,21,22,22,23,23,23,23,24,24,24,25,25,26,26,27,27,28,29

The average is sum divided by number of numbers, that will be:

483/20 = 24.15

The difference in mean is:

24.15 - 21.75 = 2.4

We can say, that is about 2 more students in Oak Middle School, correct answer choice is "2nd answer choice" - "There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."

7 0

3 years ago

Solve the following system of equations:

Akimi4 [234]

It would have no solutions that's your answer.

6 0

2 years ago

The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized

castortr0y [4]

Answer:

Step-by-step explanation:

heyq

The correct answer is:

7/10

Explanation:

Finding the totals of each column and row, we find:

There are 3+2+1 = 6 children in the baseball league.

There are 7+2+1 = 10 children in the softball league.

There are 3+7 = 10 children in the 7-9 division.

There are 2+2 = 4 children in the 10-12 division.

There are 1+1 = 2 children in the 13-15 division.

There are a total of 10+6 = 16 children.

We start with the information that the team is a member of the softball league. There are 10 children in this league; this is the denominator of the probability.

There are 7 children in the 7-9 division that are in the softball league. This gives us the probability 7/10.

please you are a student study well especially graph is easy thing to do.

4 0

3 years ago

What number is added to make a perfect square ? ​

What number is added to make a perfect square ?