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baherus [9]
3 years ago
14

Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81

Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

4(x-4.5)^2

Step-by-step explanation:

h(x)=4x^2-36x+81

=4(x^2-9x)+81

=4(x^2-9x+20.25)-(4)(20.25)+81

=4(x-4.5)^2

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The sum of two numbers is 82. The larger number is eight less then five times the smaller number. What are the numbers?
bonufazy [111]

Answer:

The smaller Number = 15

The larger number = 67

Step-by-step explanation:

Let

The smaller number = x

The larger number = 5x - 8

The sum = 82

(5x - 8) + x = 82

5x - 8 + x = 82

6x - 8 = 82

Add eight to both sides

6x - 8 + 8 = 82 + 8

6x = 90

Divide both sides by 6

x = 90/6

= 15

Therefore,

The smaller number = x = 15

The larger number = 5x - 8

= 5(15) - 8

= 75 - 8

= 67

6 0
3 years ago
Solve for x please. First correct answer I’ll mark as brainliest
katrin [286]

Answer:

x=7

Step-by-step explanation:

6 0
2 years ago
2n+7+7n=13+3n+8n <br><br><br>please help
Rasek [7]

first combine like terms so 2n + 7n which is 9n


so 9n + 7 = 13 + 3n + 8n


then combine on other side so 9n + 7 = 13 + 11n

then subtract 7 to 13 so 6

sp 9n + 6 = 11n

then subtract 9 to the other side so 2n


6 = 2n then divide all by 2

n= 3

3 0
3 years ago
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Question 9 (5 points)
DochEvi [55]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
A small garden measures 8 ft by 7 ft. A uniform border around the garden increases the total area to 110 ft 2. What is the width
Alik [6]

Answer: 3

Step-by-step explanation:

You can answer this question by using the equation

(8+x)(7+x)=110

The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.

If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0

This can be simplified into (x-3)(x+18)=0

This equation makes it so that x is either 3 or -18. It is not possible for a width to be -18, so the width must be 3.

8 0
3 years ago
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