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goldfiish [28.3K]
2 years ago
14

If g(x) = 1 - ¾ x find: -5g(4) - 1

Mathematics
2 answers:
cricket20 [7]2 years ago
5 0

Answer:

<u>-</u><u>5</u><u>g</u><u>(</u><u>4</u><u>)</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u>is</u><u> </u><u>9</u>

Step-by-step explanation:

g(x) = 1 -  \frac{3}{4} x

when x is 4:

g(4) = 1 -  \frac{3}{4}  \times 4 \\  = 1 - 3 \\  =  - 2

therefore:

- 5g(4) - 1 =  - 5( - 2) - 1 \\  = 10 - 1 \\  = 9

sukhopar [10]2 years ago
4 0

Answer:

9

Step-by-step explanation:

g(x) = 1 - ¾ x

-5g(4) - 1

First find g(4) = 1 - 3/4(4) = 1 - 3 = -2

Then -5(-2) -1 = 10 -1 = 9

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coldgirl [10]

9514 1404 393

Answer:

  • a = -2/3, b = 8, c = -24
  • y-intercept: (0, -24)
  • x = -b/(2a) = -8/(2(-2/3)) = 8(4/3)
  • x = 6
  • DOWN
  • Max: (6, 0)
  • Vertex: (6, 0)
  • Domain: {x | x ∈ ℝ}
  • Range: {x | x ≤ 0}

Step-by-step explanation:

To find a, b, c, compare the given function to ...

  f(x) = ax² +bx +c

You will see that ...

  • a = -2/3
  • b = 8
  • c = -24

The y-intercept is the function value for x=0. It is the constant term:

  y-intercept = f(0) = -24

Use the above values of a, b to find the line of symmetry.

  x = \dfrac{-b}{2a}=\dfrac{-8}{2\cdot\dfrac{-2}{3}}=8\cdot\dfrac{3}{4}=6

Per the calculation, the line of symmetry is ...

  x = 6

The negative leading coefficient tells you the parabola opens DOWN.

Because it opens down, the vertex at (6, 0) is a Maximum.

As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.

The range is all values below the vertex (including the vertex), so is ...

  x ≤ 0

3 0
2 years ago
Whats one plus 1 and 2 plus 2 and 3 plus 3 times 0 plus 24 times 8
ahrayia [7]
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1 and 2 = 3
3+2=5
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24x8=192
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