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Lena [83]
3 years ago
16

The first few steps in deriving the quadratic formula are shown. A table listing the first few steps in deriving the quadratic f

ormula Which best explains why is not added to the left side of the equation in the last step shown in the table? The term StartFraction b squared Over 4 a squared EndFraction is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation. The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation. The term StartFraction b squared Over 4 a squared EndFraction needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation. The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

The answer is C

Step-by-step explanation:

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What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
3 years ago
The radius of a circle is 6. Using T, which equation expresses the ratio of the circumference of the circle to the circle's diam
Liono4ka [1.6K]

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

A) C/6 = π

B) C/12= π

C) C = 6πr

D) C = 12πr

Formula to get the circumference of the circle is,

C = 2πr = π × D

Where C = circumference of the circle

D = Diameter of the circle

By dividing with D on both the sides of the formula,

\frac{\text{C}}{\text{D}}=\pi

Since, diameter 'D' = 2r,

\frac{\text{C}}{\text{2r}}=\pi

\frac{\text{C}}{2\times 6}=\pi

\frac{\text{C}}{12}=\pi

Therefore, equation given in Option (B) will be the correct expression.

5 0
3 years ago
Read 2 more answers
Answer the question below
Ivenika [448]
A is the right answer ( I say) because 1 over 4 if you times it with 2 you get 1 over 8
Your welcome I hope this works for u
5 0
3 years ago
Read 2 more answers
Area model division 246÷3
lord [1]
246 divided by 3 should equal 82
4 0
3 years ago
Shaun's savings can be modeled by the regression equation y = 6x^2 + 75x+200. Which of the following is the best prediction for
kipiarov [429]

Answer:

Option D

Step-by-step explanation:

The equation to predict the amount saved is

y = 6x ^ 2 + 75x + 200.

Assuming that the variable x represents the saving months, then substitute x = 25 in the quadratic equation and solve for y.

y = 6 (25) ^ 2 +75 (25) +200\\\\y = \$\ 5,825

The answer is the option D  $5,825

3 0
3 years ago
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