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3 years ago

1. Use the process of completing the square to fill in the blanks;

Mathematics

1 answer:

telo118 [61]3 years ago

6 0

The fill in the blanks is missing a ^2 because it is a completing of squares so it's missing something but the answer is:

y = (x+4)^2 +9

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What is 100x100.. lol I know the answer but I just want people to have free points. Please dont delete it :c

son4ous [18]

Answer:

10,000

Step-by-step explanation:

$100\cdot 100 =10,000$

Thanks!

6 0

3 years ago

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Find the number of integral solutions of x+y +z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and<br> z ≥ 3.

SashulF [63]

There are 59 integer solutions

Such questions are best solved by writing cases and calculating the total number of cases. So beginning with

1) x = -3. The possible combinations are as follows:-

-3 2 13

-3 3 12

-3 4 11

-3 5 10

-3 6 9

-3 7 8

-3 8 7

-3 9 6

-3 10 5

-3 11 4

10 combinations

2) x = -2

-2 2 12

through

-2 11 3

10 combinations

3) x = -1

-1 2 11

through

-1 10 3

9 combinations

4) x = 0

0 2 10

through

0 9 3

8 combinations

as we can see from the pattern at x =1 we get 7 combinations, at x =2 we get 6 combinations, at x=3 we get 5 combinations and at x =4 we get 5 combinations.

Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.

Learn more about combinations here :

brainly.com/question/13387529

#SPJ1

5 0

2 years ago

It is known that 5< x< 8. find all possible values of the expression, 6x, -10x,x-5,3x+2

Nuetrik [128]

Answer:

Part 1) $30< 6x< 48$

Part 2) $-80< -10x< -50$

Part 3) $0$

Part 4) $17< 3x+2< 26$

Step-by-step explanation:

we know that

$5< x< 8$

The solution for x is the interval ----> (5,8)

All real numbers greater than 5 and less than 8

Part 1) Find all possible values of the expression 6x

For x < 8

The expression value is 6x < (6)(8) -----> 6x < 48

For x > 5

The expression value is 6x > (6)(5) -----> 6x > 30

therefore

$30< 6x< 48$

Part 2) Find all possible values of the expression -10x

For x < 8

The expression value is -10x > (-10)(8) -----> -10x > -80

For x > 5

The expression value is -10x < (-10)(5) -----> -10x < -50

therefore

$-80< -10x< -50$

Part 3) Find all possible values of the expression x-5

For x < 8

The expression value is x-5 < 8-5 -----> x-5 < 3

For x > 5

The expression value is x-5 > 5-5 -----> x-5 > 0

therefore

$0$

Part 4) Find all possible values of the expression 3x+2

For x < 8

The expression value is 3x+2 < 3(8)+2 -----> 3x+2 < 26

For x > 5

The expression value is 3x+2 > 3(5)+2 -----> 3x+2 > 17

therefore

$17< 3x+2< 26$

7 0

3 years ago

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130.0lbs equals how many grams?

Alex787 [66]

Answer:

58,967 grams (Use an online measurement converter)

5 0

3 years ago

What's the measurement of x?<br><br> Pls answer A.S.A.P

WITCHER [35]

Step-by-step explanation:

360/2=180

180/5=36

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3 years ago

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