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:

? = 81

Step-by-step explanation:

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What is the solution of the equation
7x + 3 = 2x + 13

Answers

Answer:

Step-by-step explanation:

7x + 3 = 2x + 13

5x + 3 = 13

5x = 10

x = 2

Answer:

x = 2

Step-by-step explanation:

given

7x + 3 = 2x + 13 ( subtract 2x from both sides )

7x - 2x + 3 = 2x - 2x + 13 ( simplify both sides )

5x + 3 = 13 ( subtract 3 from both sides )

5x + 3 - 3 = 13 - 3 ( simplify both sides )

5x = 10 ( divide both sides by 5 )

$(5)/(5)$ x = $(10)/(5)$ , that is

x = 2

Solve the formula for converting temperature from degrees celsius to degrees fahrenheit for c? F=9/5C+32

Answers

The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The relationship between F and C is:

F = (9/5)C + 32

To convert temperature from degrees Celsius to degrees Fahrenheit for c:

Make the subject as C:

(9/5)C = F - 32

The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.

9C = 5(F - 32)

C = 5(F - 32)/9

Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.

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Write the missing fraction (numbers) to complete the multiplication fact. __ × 1/4 = 7/8

Answers

Hello!

Answer:

$\Large \boxed{\sf x = (7)/(2) }$

Step-by-step explanation:

Let the unknown be x:

$\sf x * (1)/(4) = (7)/(8)$

Let's solve this equation to find the unknown:

◼ Divide both sides by 1/4:

$\sf x * (1)/(4) / (1)/(4) = (7)/(8) / (1)/(4)$

◼ Simplify both sides:

$\sf x = (7)/(8) / (1)/(4)$

◼ Simplify the right side:

$\sf x = (7)/(8) * (4)/(1)$

$\sf x = (7)/(8) *4$

$\sf x = (7 *4)/(8)$

$\sf x = (28)/(8)$

$\boxed{\sf x = (7)/(2) }$

Final answer:

The missing fraction to complete the multiplication fact is **2/3**.

Explanation:

To find the missing fraction, we can set up the equation as follows: $**x × 1/4 = 7/8**$ , where **x** represents the missing fraction. To solve for $**x**,$ we'll isolate it on one side of the equation.

First, we'll multiply both sides of the equation by the reciprocal of 1/4, which is 4/1 (or simply 4):

$**x × 1/4 × 4 = 7/8 × 4**$

This simplifies to:

$**x = 7/2**$

Now, we need to express 7/2 as a fraction with a denominator of 8. To do this, we'll multiply both the numerator and the denominator by 4:

$**x = (7 × 4) / (2 × 4) = 28/8**$

Now, the fraction 28/8 is equivalent to 7/2, and it completes the multiplication fact. However, we can simplify 28/8 further by dividing both the numerator and denominator by their greatest common divisor, which is 4:

$**x = 28/8 ÷ 4/4 = 7/2 ÷ 4/4 = 7/8**$

So, the missing fraction is indeed **7/8**, which completes the multiplication fact $**x × 1/4 = 7/8**.$

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Simplify Expression
3/5b - 2 + 7b - 12 - 2/5b + 14

Answers

Answer:

The answer is 7 1/5 b

Step-by-step explanation:

3.) What are the solutions to x^2 + 8x + 7 = 0?x = –8 and x = –7

x = –7 and x = –1

x = 1 and x = 7

x = 7 and x = 8

Answers

check if x = -8 is the solution
1. substitute number -8 for x in the equation
(-8)^2 + 8*(-8) + 7 = 0
2. do calculations on the left size
64 -64 + 7 = 0
7 = 0
3. equality means x is the solution, inequality means it is not
-8 is not the solution to x^2 + 8x + 7 = 0

check other given numbers the same way
x=-7
(-7)^2 + 8*(-7) + 7 = 0
0=0
-7 is the solution

x=-1
(-1)^2 + 8*(-1) + 7 = 0
0=0
-1 is the solution

x=1
(1)^2 + 8*(1) + 7 = 0
16=0
1 is not the solution

x=7
(7)^2 + 8*(7) + 7 = 0
113=0
7 is not the solution

x=8
(8)^2 + 8*(8) + 7 = 0
135=0
8 is not the solution

answer:
The solutions to given equation are -7 and -1.

The answer to this question is
-7+-1=-8
-1+-7=8
1+7=8

Rewrite the equation 4x + 4y = 20 in slope-intercept form.A. 4x + 4y – 20 = 0
B. y = –x + 5
C. x + y = 5
D. 4y = –4x + 20