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Luba_88 [7]
3 years ago
7

Which expression is equal to 16.25 ÷ 2.5?

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
6.5 is the answer to your question
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The graph of the function f(x) = (x +2)(x + 6) is shown
dalvyx [7]

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4 ⇒ 1st answer

Step-by-step explanation:

f(x) = (x + 2)(x + 6) is a quadratic function with 2 factors (x + 2) and (x + 6)

By multiplying its two factors we will find the form of the quadratic function

∵ (x)(x) = x²

∵ (x)(6) = 6x

∵ (2)(x) = 2x

∵ (2)(6) = 12

∴ f(x) = x² + 6x + 2x + 12

- By adding like terms

∴ f(x) = x² + 8x + 12

The quadratic function represented graphically by a parabola

Look to the attached figure

The x-coordinate of the vertex point of the parabola h = \frac{-b}{a}

where b is the coefficient of x and a is the coefficient of x²

∵ f(x) = x² + 8x + 12

∴ a = 1 and b = 8

∴ h = \frac{-8}{2*1}=-4

The y-coordinate of the vertex point is k = f(h)

∵ h = -4

∴ k = f(-4)

∴ k = (-4)² + 8(-4) = 12 = 16 - 32 + 12

∴ k = -4

∴ The vertex point of the parabola is (-4 , -4)

∵ The parabola is opened upward

∴ Its vertex is minimum point

∴ The minimum value of f(x) is y = -4

∵ The domain of the function is the values of x

∵ The range of the function is the values of y corresponding to the

   values of x

∵ x can be any real numbers

∴ x ∈ R, where R is the set of real numbers

∴ The domain of f(x) is all real numbers

∵ The minimum value of f(x) is y = -4

∴ y can be any real number greater than or equal to -4

∴ y ≥ -4

∴ The range is all real number greater than or equal to -4

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4

Learn more:

You can learn more about quadratic function in brainly.com/question/1332667

#LearnwithBrainly

7 0
2 years ago
Hi, can somebody pretty please help me? Thank you!
dybincka [34]

Answer:

Honey, I don't know what you need help with. Nothing is linked.

Step-by-step explanation:

4 0
3 years ago
Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her e
Leto [7]

Answer:

I think the answer is 1,466.50

8 0
3 years ago
State the y-coordinate of the y-intercept for the function below of x^3-9x
prohojiy [21]

y = x^{3}  - 9x
y = 0^{3}  - 9(0)
y = 0
4 0
3 years ago
Read 2 more answers
Graph the function. Upload a handwritten copy of your graph as your final answer.
Serhud [2]
The function is divided in 2 parts:

For x<0, the function is y=x, which is a linear function, and its graph is a line.

For x≥0, the function is y=-x^2, which is a quadratic function, and its graph is a parabola.


Note that y=x is the line containing the points (0, 0), (1, 1), (5, 5) etc, that is, it is the line passing through the origin, with an inclination of 45° with the positive x-axis.


The parabola y=-x^2 is the parabola y=x^2 reflected with respect to the x-axis. It contains points like (0, 0), (-1, 1), (2, -4) etc...

The 2 graphs, with domain all real numbers, are shown in the first picture.

The second picture is the graph of the function described in our problem. We use the first picture, but restrict the domains.

That is, we delete the part of the line corresponding to x≥0, and the part of the parabola corresponding to x<0.

7 0
3 years ago
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