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adelina 88 [10]
3 years ago
15

How is statement B related to statement A?

Mathematics
1 answer:
Alisiya [41]3 years ago
8 0
This is an Inverse.
Final Answer : A

This is because each part (the hypothesis and conditional) were reversed.
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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
3 years ago
Solve 7x/3&lt;2<br> {X I X&lt;6/7}<br> {X I X&gt;6/7}<br> {X I X&lt;-14/3}<br> {X I X&gt;-14/3}
Vladimir79 [104]

Answer:

x<6/7

Step-by-step explanation:

7 0
3 years ago
Please help me, I don't understand this-
Andreas93 [3]

Answer:

i think its J 5,000 pounds

Step-by-step explanation:

5 0
2 years ago
Neck size, in inches, and number of teeth of 18 randomly selected puppies are compared. Which significance test should be used t
Masteriza [31]

Answer:

D

Step-by-step explanation:

its just obvious

go bucs

4 0
2 years ago
How do simplify 4(8+2f)+5 using distributive property?
polet [3.4K]
8f+37 is the answer to check:
4 times 8 is 32 + 4 times 2f is 8f..........then 32+8f+5 to 8f + 37 is your answer
8 0
3 years ago
Read 2 more answers
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