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3 years ago

What is the equation of the midline for the function f(x) ?

Mathematics

1 answer:

Inessa05 [86]3 years ago

5 0

let's recall the graph of sin(x), is simply a sinusoidal line waving about, but its midline is at the x-axis, namely y = 0.

this equation is simply a transformation of it, the 1/2 changes the amplitude by half, midline stays the same though, the +3, moves the whole thing upwards, a vertical shift of 3, meaning the midline went from 0 to 3, y = 3.

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daser333 [38]

<h3>Answer:</h3>

2.25

<h3>Explanation:</h3>

Consider the square ...

... (x+a)² = x² +2ax +a²

The constant term (a²) is the square of half the x-coefficient: a² = (2a/2)².

The x-coefficient in your expression is 3. The square of half that is ...

... (3/2)² = 9/4 = 2.25

Adding 2.25 to both sides gives ...

... x² +3x + 2.25 = 6 + 2.25

... (x +1.5)² = 8.25 . . . . completed square

4 0

3 years ago

What is the intercepts of the line?

xxTIMURxx [149]

Answer:

The y-intercept is 2.5

The x-intercept is 3.5

Step-by-step explanation:

Hope this helps!

8 0

2 years ago

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Saved 250 mg sing value in 50 mg 10 ml X Choice

Bumek [7]

Hi there!

What is the question and then i can help!

4 0

3 years ago

Given g(x) = x² - 6x - 16, which statement is true?

inn [45]

The correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". (Correct choice: H)

<h3>How to analyze a second orden polynomial with constant coefficients</h3>

In this case we have a second order polynomial of the form x² - (r₁ + r₂) · x + r₁ · r₂, whose solution is (x - r₁) · (x - r₂) and where r₁ and r₂ are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.

If we know that g(x) = x² - 6 · x - 16, then the factored form of the expression is g(x) = (x - 8) · (x + 2). Hence, the correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". $\blacksquare$

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

4 0

1 year ago

You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.

NNADVOKAT [17]

Answer:

1/6

Step-by-step explanation:

If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)

1/3*1/2= 1/6

6 0

3 years ago

Read 2 more answers