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Leona [35]
2 years ago
8

The graph of the function f(x) = –(x + 2)(x + 6)is shown below. Which statement about the function is true?

Mathematics
2 answers:
alexdok [17]2 years ago
3 0

Answer:

See options below. No answer choice given.

Step-by-step explanation:

The graph of the function is below. What can be said about the function is the following:

  • Roots are -2 and -6.
  • Factors are (x+2) and (x+6)
  • X-intercepts are (-2,0) and (-6,0)
  • Y -intercept is (0,-12)
  • Parabola is concave down due to negative leading coefficient
  • Vertex is at (-4,4)
  • Axis of Symmetry is x=-4
  • Its a quadratic which has a parabola as its graph

notsponge [240]2 years ago
3 0

Answer:

Step-by-step explanation:

The function is increasing for all real values of x where

x < –4.

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3 years ago
Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2
9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3><u>Option 1</u></h3>

\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2

\implies \left|0.3-\dfrac{3}{5}k\right|=1.6

<u>Solution 1</u>

\implies 0.3-\dfrac{3}{5}k=1.6

\implies -\dfrac{3}{5}k=1.3

\implies k=-\dfrac{13}{6}

<u>Solution 2</u>

\implies -(0.3-\dfrac{3}{5}k)=1.6

\implies -0.3+\dfrac{3}{5}k=1.6

\implies \dfrac{3}{5}k=1.9

\implies k=\dfrac{19}{6}

<h3><u>Option 2</u></h3>

\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2

\implies \left|0.3-\dfrac{3}{5k}\right|=1.6

<u>Solution 1</u>

\implies 0.3-\dfrac{3}{5k}=1.6

\implies -\dfrac{3}{5k}=1.3

\implies -3=6.5k

\implies k=-\dfrac{6}{13}

<u>Solution 2</u>

\implies -(0.3-\dfrac{3}{5k})=1.6

\implies -0.3+\dfrac{3}{5k}=1.6

\implies \dfrac{3}{5k}=1.9

\implies 3=9.5k

\implies k=\dfrac{6}{19}

6 0
2 years ago
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