The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the l
1 answer:
The first three steps for solving the quadratic equation by completing the square are as follows;
1.
2.
3.
Given
The quadratic equation given as 9x^2 + 54x = 7.
<h3>Quadratic equation;</h3>The highest power of the degree is 2 is known as a quadratic equation.
To solve using the completing the square method.
The first three steps for solving the quadratic equation by completing the square are given below.
1. Write the equation in a way that the constants are on the right side while the terms with x are on the left.
2. Make sure that the coefficient of the x^2 term is 1.
3. Adding a term to both sides that will complete the square on the left side.
This is done by dividing the coefficient of the x term by 2 and squaring it.
The same amount should be added to the right side to balance the equation.
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Answer:
OPTION D: NEITHER
Step-by-step explanation:
The given equation is: 7x - 2y = - 5
To find a solution to this, we substitute the options and compare LHS and RHS.
OPTION A: (1, 5)
LHS = 7(1) - 2(5) = 7 - 10 = -3
RHS = - 5
LHS RHS.
So, this option is eliminated.
OPTION B: (-1, 1)
LHS = 7(-1) - 2(1) = -7 - 2 = - 9
RHS = - 5
Again, LHS RHS.
So, this Option is eliminated as well.
OPTION C: It says both A and B. Clearly, this is eliminated as well.
Therefore, the answer is: OPTION D: NEITHER.
NOTE: This is a two variable equation. So, we need a minimum of two equations to determine the solution. Since, only one equation is given here, we use the help of options.
Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of
Step-by-step explanation:
A temperature falls from 0 to in
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is
The change in temperature is
Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:
x° = - 3.5
x° =
Thus per hour; the temperature falls at the rate of