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nikklg [1K]
3 years ago
13

Given the following functions f(x) and g(x), solve (f/g)(-4) and select the correct answer below. F(x)=4x-4 G(x)=x-1

Mathematics
2 answers:
Nata [24]3 years ago
5 0
(f/g)(x) = 4x-4 / x - 1 = 4

so (f/g) (-4) = 4
yan [13]3 years ago
4 0
To start set up a fraction with the f(x) on top and g(x) on bottom
(f/g)(x) = (4x - 4)/(x - 1)  - This is the function that we are going to use

Plug in -4 for x
(f/g)(-4) = (4(-4) - 4)/(-4 - 1) = (-16 - 4)/(-5) = (-20)/(-5) = 4

So...
(f/g)(-4) = 4

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Given that the quadratic equation has equal roots (k^2-1)x^2-2kx-3k-1=0
Alik [6]

Answer:

(See explanation for further details)

Step-by-step explanation:

The real expression is:

(k^{2}-1)\cdot x{{2} - 2\cdot k \cdot x - 3\cdot k + 1 = 0

The general equation for the second-order polynomial is:

x = \frac{2\cdot k \pm \sqrt{4\cdot k^{2}-4\cdot (k^{2}-1)\cdot (-3\cdot k + 1)}}{k^{2}-1}

This condition must be observed for the case of a quadratic equation with equal roots:

4\cdot k^{2} - 4\cdot (k^{2}-1)\cdot (-3\cdot k + 1) = 0

k^{2} + (k^{2}-1)\cdot (3\cdot k + 1) = 0

k^{2} + 3\cdot k^{3} - 3\cdot k - k^{2}-1 = 0

3\cdot k^{3} - 3\cdot k - 1 = 0

7 0
3 years ago
Select the points that is a solution
RoseWind [281]

The red area is the one which solves the system. In fact, we want the area which below both the parabola and the line (since the inequality features a \leq sign.


So, the point (1,1) is below the line but above the parabola (blue area), so it is not a solution.


The point (2,2) is above both the line and the parabola (white area), so it is not a solution.


The point (-1,0) is below both the line and the parabola (red area), so it is a solution.


So, the point (4,1) is below the parabola but above the line (green area), so it is not a solution.

8 0
3 years ago
Diberi 1 ½s = ⅗t² + ⅓u², hitung (ii) nilai t apabila u = -6 dan s = 28​
Vinil7 [7]

Answer:

√2' = t

Step-by-step explanation:

1 1/2s = 3/5t^2 + 1/3u^2; substitute known values

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42 – 12 = 3t^2 ÷ 5 + 12 – 12; simplify

30 = 3t^2 ÷ 5; apply property of multiplication of equality

30 • 5 = 3t^2 ÷ 5 • 5; simplify

6 = 3t^2; apply property of division of equality

6 ÷ 3 = 3t^2 ÷ 3; simplify

2 = t^2

√2' = t

7 0
1 year ago
What is the solution to the equation
timurjin [86]

the correct answer is y=2

4 0
3 years ago
1. Tim works as a cook for a food truck at carnivals. He makes $12.00 per hour and worked 36 hours this
maria [59]

Answer:

$432.00

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12 x 36 = 432

4 0
3 years ago
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