MATHEMATICS HIGH SCHOOL

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step.9x2 +54x = 7

9(x2 + 6x) = 7

9(x2 + 6x + 9) = 7 + ?

Answers

Answer 1
Answer: Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left. 
9x2 +54x = 7

2. Make sure that the coefficient of the x^2 term is 1.
9(x2 + 6x) = 7

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
9(x2 + 6x + 9) = 7 + 81

9(x+3)^2 = 88
Answer 2
Answer:

Answer:

The answer is 81 guys.

Step-by-step explanation:

Related Questions

What is the proportion and answer?!!!
Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales increase last year? What percentage did sales decrease this year?
Simplify (3x + 5) + (2x - 9) - (4x + 3).x - 7-x - 7-9x - 19x - 1
The universal set is the set of whole numbers less than 14.U = {0,1,2,3,4,5,6,7 ,8 ,9 ,10 ,11 ,12 ,13} Set J is the set that represents the numbers that Janet thinks are lucky. J={3,7} Set K is the set that represents the numbers that Kyle thinks are awesome! K={2,4,6,8} Set L is the set that represents the numbers that Lauren thinks she should write on the wall of her bedroom (with her parent’s permission, of course)! L={0,3,5,6,7,8,9} What is the set defined by ~(J ∪K) ?
The formula to find the area of the walls of a rectangular room is A=2h (l+b), h is wall height, l is room length, and b is room breadth. The area of doors and windows are ignored.Question - Using the formula find the wall area if the room length is 8m, breadth is 6m and height is 2.5 m. Sorry but I have NO clue :(

If it takes the Ramirez family 3 days to travel 1,560 miles, how many days will it take them to travel 3,640 miles?

Answers

It would take the Ramirez family seven days to travel 3,640 miles you figure this out  by dividing 1,560 by three and then dividing 3,640 by the answer and there is your answer which is 7
7 because they traveled 520 miles a day so if 1560+1560=3120+520=3640

Simplify the expression 4^2+8÷2

Answers

the answer is 20, 
16+8/2
16+4
20
The answer is 12 
4^2 =16
16+8= 24
24/2=12

A wildflower bouquet costs $4.25 at the farmer's market. A vase can be purchased for an additional $3.50. Kelly has $20 to buy a bouquet for her mother with a vase. She'd also like to buy just a bouquet for herself and another for her best friend.If x represents the number of bouquets Kelly can buy, which inequality will tell Kelly if she has enough money to make her purchase?
A) $4.25x + $3.50 ≤ $20
B) $4.25x - $3.50 ≤ $20
C) $4.25x + $3.50 ≥ $20
Eliminate
D) $3.50x + $4.25 ≤ $20;

Answers

A is the answer.
4.25 multiply 3= 12.75 
12.75 + 3.50= 16.50
16.50 ≤ $20

Answer:

A

Step-by-step explanation:

Can 24 7ths be equal to another fraction or be simplified in another way

Answers

To check if an improper fraction like like 24/7 can still be simplified, you have to find similar factors that can divide both the numerator (24) and the denominator (7). However in this case, there are no longer any common factors that can divide both of them. However, improper fractions can be represented in a mixed fraction form. 

A mixed fraction is made up of a whole number and a fraction. To change an improper fraction to a mixed fraction, divide the numerator by the denominator. The quotient should be a whole number and a remainder. The whole number in the quotient would be the whole number in the mixed fraction, and the remainder would be the numerator.

In the case of 24/7, dividing it would yield us 3 remainder 3. Therefore, the mixed fraction would be:

3 3/7

toan is building tables for the park department.He needs 20 bolts for each table.if he has 60 bolts at his workplace and he gets 300 more bolts from the supply room,how many tables can he build?

Answers

60+300=360
360/20=18
he can build 18 tables
360
_
20 + 18 your welcome enjoy your answer :D

Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, andm∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B.

Answers

         m∠A + m∠B = 90
(3x + 5) + (2x - 15) = 90
(3x + 2x) + (5 - 15) = 90
                  5x - 10 = 90
                      + 10  + 10
                         5x = 100
                          5      5
                           x = 20

m∠A = 3x + 5
m∠A = 3(20) + 5
m∠A = 60 + 5
m∠A = 65

m∠B = 2x - 15
m∠B = 2(20) - 15
m∠B = 40 - 15
m∠B = 25
m∠A + m∠B = 90

(3x + 5) + (2x - 15) = 90

(3x + 2x) + (5 - 15) = 90

5x - 10 = 90

5x - 10 +10 = 90+10

5x = 100

5x/5 = 100/5      Divide \ both \ sides \ by \ 5

x = 20                 Solutions

m∠A = 3x + 5     (x=20)

m∠A = 3(20) + 5          Substitute \ x \ for \ 20

m∠A = 60 + 5               Simplify

m∠A = 65


m∠B = 2x - 15

m∠B = 2(20) - 15

m∠B = 40 - 15

m∠B = 25
Other Questions
Which logical fallacy often includes a premise that appeals to what is believed or done by the mainstream or the elite? hasty generalization popular appeal faulty analogy equivocation
Use the Distributive Property to expand -3 (8x - 4).
Valerie purchased x tubes of lipstick at $4 each and y bottles of nail polish at $2 each. she spents less than $12 not including tax. which point represents a reasonable number of lipsticks and bottles of nail polish that valerie purchased?a) 2,3b) 1,5c) 1,3d) 2,2
What is the fraction equivalent of 40% in simplest form? 2/5 4/10 40/100 4/100 pan​