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3 years ago

What is the axis of symmetry for f(x) = 2x2 − 8x 8? x = −2 x = −3 x = 3 x = 2

2 answers:

7 0

The first part of the quadratic formula, x = - b/2a, is the equation of the axis of symmetry, and the x-coordinate of the vertex. 

In standard form: - 2x² + 8x - 5 = 0, a = - 2, b = 8, c = - 5 

The axis of symmetry: x = - 8/2(- 2) = - 8/- 4 = 2 

Go back and solve for y to find the y-coordinate of the vertex. 

y = - 2(2)² + 8(2) - 5 

y = - 2(4) + 16 - 5 

y = - 8 + 16 - 5 

y = 3 

Vertex is (2, 3)

lys-0071 [83]3 years ago

7 0

The answer i got was x=2

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mezya [45]

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3 years ago

What is the solution for the =.

liq [111]

Answer:

solution for n is $\frac{-13}{4}$

Step-by-step explanation:

Given an equation containing one variable n.

The equation is as follows:

$\frac{-5}{2} =\frac{3}{4} +n$

To solve for n we can subtract 3/4 from both the sides

The result is

$\frac{-5}{2} -\frac{3}{4} =n\\Take LCD as 4\\\\frac{-10-3}{4} =n$

Verify:

Substitute the answer in the given equation.

$\frac{-5}{2} =\frac{3}{4} -(\frac{13}{4} )$

Both sides equal thus proving our correctness of answer.

3 0

3 years ago

Given the function g(x)=3x-7, determine when g(x)=-4

sp2606 [1]

You have the following function:

g(x) = 3x - 7

In order to determine th value of x when g(x) = -4, you equal the previous expression to -4 and solve for x, just as follow:

g(x) = 3x - 7 replace g(x) = -4

-4 = 3x - 7 add 7 both sides

-4 + 7 = 3x simplify

3 = 3x divide by 3 both sides

3/3 = x

x = 1

Hence, the anser is x = 1

3 0

1 year ago

Factor to the given polynomial completely. 4x³+24x²-288x

STatiana [176]

Answer: $\Large\boxed{4x(x+12)(x-6)}$

Step-by-step explanation:

Given expression

4x³ + 24x² - 288x

Factorize 4x out from the expression

4x · x² + 4x · 6x - 4x · 72

4x (x² + 6x - 72)

Cross multiply to factorize the remaining polynomial expression

The meaning is to allow the factored product of the constant to add up to the first-degree term

x 12

x -6

Combine the result

$\Large\boxed{4x(x+12)(x-6)}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

1 year ago

Read 2 more answers

In the following sequence, each number (except the first two) is the sum of the previous two numbers: 0, 1, 1, 2, 3, 5, 8, 13, .

Amanda [17]

Answer:

Fibonacci Series has been explained and the general term and shortcut to find the corresponding term has been attached

Step-by-step explanation:

Fibonnaci is a beautiful series in mathematics where the term in the series is the sum of the previous two terms of the corresponding term in the series.

Its general form is denoted by

$X_{n} =X_{n-1}+X_{n-2}$ ,

where $X_{n}$ represents the $n^{th}$ of the Fibonnaci series.

The special thing about the Fibonacci series is that the more number of terms we proceed the ratio of the two consecutive term comes closer to the value of the Golden Ratio(φ) whose value is 1.618034.

But there is another method to find out the terms of the the Fibonacci series, which takes into account the value of φ. The formula for the following is as follows

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3 years ago