Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?f(x) = (x + 3)2 + 3
f(x) = (x + 3)2 − 6
f(x) = (x + 6)2 + 3
f(x) = (x + 6)2 − 6

Answers

Answer 1

Answer:

By completing the square, the second orderpolynomial in vertexform f(x) = (x + 3)² - 6 is equivalent to the polynomial in standardform f(x) = x² + 6 · x + 3. (Correct choice: B)

How to find the vertex form of the second order polynomial by algebraic means

In this question we must change the form of the second orderpolynomial from standardform into vertexform. A common method consists in completing the square, that is, to transform part of the polynomial into a perfect squaretrinomial. Now we proceed to find the vertexform of the expression:

1) x² + 6 · x + 3 Given

2) x² + 6 · x + 9 - 6 Modulative property/Existence of additive inverse/Definition of addition

3) (x + 3)² - 6 Associative property/Perfect square trinomial/Result

To learn more on second order polynomials in vertex form: brainly.com/question/20333425

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Answer 2

Answer:

Answer:

B. f(x) = (x + 3)2 − 6

Step-by-step explanation:

I just did this for "completing the square". Hope this helped!

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What is the square root of 16x36?

4x6
4x18
8x6
8x18

Answers

To obtain the square root of 16x^36, the coefficient portion (16) will not present any problems since 16 is a perfect square. However, for a variable with an exponent, the exponent is to be multiplied by 1/2 since the square root symbol is equal to raising the term inside to the power of 1/2. This is shown below:

sqrt (16 x^36) = 4 * x^36(1/2) = 4 * x^18

Therefore, the correct answer is 4x^18.

Answer: 4x^18

Step-by-step explanation: I did it on edge already.

Explain why all squares are similar????? and please help with question below!!!!!!!!!!!!!

Answers

that's not a squre
anyway, we use ratios
base:person to corner=28:8
height to height=x:5
so
28/8=x/5 becasue same ratio
28/8=14/4=7/2
7/2=x/5
multiply
35/10=2x/10
35=2x
divide 2
17.5=x

x=17.5 feet

Charlie solved an equation, as shown below:Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
Part B: How many solutions will this equation have?

Answers

Part A : His solution is incorrect because whenever you have a number "connected to" the variable, you have to divide. & what you do to one side, you have to do to the other. So, for step 2, instead of subtracting 5, you divide by 5. By doing this, you will then have 'x' by itself on the left, & on the right 30/5= 6. So, x=6.

Showing...
Step 1: 5x=30
Step 2: 5x/5=30/5 (the 5s cancel out, leaving you just x on the left)
Step 3: x=6

Part B : This solution will have only 1 answer, & that answer is 6. -6 wouldn't be counted as one because if you plug -6 into the equation as x, the sides won't equal, you'll have -30=30 which isn't true.

Hope this makes sense & helps you ! (:

Find the exact value of tan 255º.

Answers

When plotted in a Cartesian plane, the angle 225 degrees is at third quadrant. It is expected that its tangent is a positive value. We directly input this value in our scientific calculator. The answer would be 1. We may also use the equation, tan x = opposite side / adjacent side.

What is the additive inverse of 4x

Answers

the additive inverse of 4x is -4x because if you add them together, you get zero. 4x+-4x=0.

Answer:

The additive inverse of 4x is -4x

Consider the quadratic equation y = –3x2 – 2x + 4. A. Find the value of the discriminant. B. How many real roots does the equation have? C. Does the vertex of the graph of the equation lie above, on, or below the x-axis?