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igomit [66]
3 years ago
15

A portion of the Quadratic Formula proof is shown. Fill in the missing reason. Statements Reasons ax2 + bx + c = 0 Given ax2 + b

x = −c Subtract c from both sides of the equation x squared plus b over a times x equals negative c over a Divide both sides of the equation by a x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus the quantity b over 2 times a squared Complete the square and add the quantity b over 2 times a squared to both sides x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus b squared over 4 times a squared Square the quantity b over 2 times a on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a end quantity squared equals negative 4 times a times c over 4 times a squared plus b squared over 4 times a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation quantity x plus b over 2 times a end quantity squared equals b squared minus 4 times a times c all over 4 times a squared ? Rewrite the perfect square trinomial as a binomial squared on the left side of the equation Take the square root of both sides of the equation Multiply both sides of the equation by 2 Square the left side of the equation
Mathematics
1 answer:
Vesnalui [34]3 years ago
8 0

Answer:

Add the fractions together on the right side of the equation.

Step-by-step explanation:

in order to get to the next step, you add the two fractions together that were from the previous step.

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Kindly solve this question 6 too !!
Shkiper50 [21]

Answer:

x=1

Step-by-step explanation:

~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1

7 0
2 years ago
Javier earns $7.50 per hour and works 20 hours per week. He wants to know how many weeks, w, he will need to work to save
disa [49]

Answer:

8 weeks

Step-by-step explanation:

So first you find out how much money he makes per week, by doing 7.5 x 20 you will find that. Now you need to find how many weeks it will take, find this by dividing 1200 by the amount he makes per week and you will end up with 8.

5 0
3 years ago
Read 2 more answers
Solve the equation for 5x^2-4x=6
Andrei [34K]

Answer:

x = (4 + 2√34)/10, x = (4 - 2√34)/10

Step-by-step explanation:

5x² - 4x = 6

Subtract: 5x² - 4x - 6 = 0

Quadratic formula: x = (4 ± √(16 - 4*5*(-6)))/10

Multiply: x = (4 ± √(16 + 120))/10

Simplify: x = (4 ± 2√34)/10

8 0
3 years ago
Which does not show a direct variation between x and y?
Zepler [3.9K]
A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where y = x * (constant).

In answer a, y = x*.5, so it is a direct variation.
In answer c, y = x* \frac{1}{9}, so it is a direct variation.
In answer d, y = x*2, so it is a direct variation,

Only answer b is left, which means the answer must be 'b'. 

We also know 'b' is the answer because it cannot be expressed as <span>y = x * (constant). Instead, it is expressed as </span>y =  \frac{constant}{x}, which is not the same thing and is therefore not a direct variation.

Hope I helped, and let me know if you have any questions :)
8 0
3 years ago
Read 2 more answers
Need the answer please
leva [86]

Answer:

A

Step-by-step explanation:

Formula is y=(x-h) Where h is the number the function is moved left or right...since it is supposed to be moved right, then (x-9) should probably work

6 0
3 years ago
Read 2 more answers
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