F(x) = 3x What is the inverse of the function below?

Find the complex zeros of <img src="https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%7Bx%7D%5E%7B3%20%7D%20%20-%2013%20%7Bx%7D%5

timama [110]

$f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\$

$\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i$

6 0

2 years ago

Three times the quantity five less than x, divided by the product of six and x

Elden [556K]

Answer:

$\frac{3(x-5)}{6x}$

Step-by-step explanation:

we know that

The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5

3(x-5)

The phrase "the product of six and x" means the number 6 multiplied by x

6x

therefore

The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x

$\frac{3(x-5)}{6x}$

7 0

2 years ago

Convert phrases to numerical expressions and solve

almond37 [142]

Answer:

10000 - 1000 + 1000 = 10000

Step-by-step explanation:

10 to the forth power = 10000 - 1000 = 9000 + 1000 = 10000

3 0

3 years ago

Read 2 more answers

When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____

pashok25 [27]

Answer:

B

Step-by-step explanation:

Here, we are to give the reason why we would reject the null hypothesis during the hypothesis testing.

In considering whether to accept the null hypothesis or reject the null hypothesis, we have to take into consideration two things.

The p-value and the alpha value. The p-value refers to the probability which is directly obtainable from the standard score which is referred to as the z-score while the alpha refers to the level of significance.

Now, when the p-value is less than alpha, we simply reject the null hypothesis and accept the alternative hypothesis. In a case however, we have the value of p greater than or equal to the significance level alpha, we simply accept the null hypothesis in this case.

The question asks for a rejection case and this can happen only when the p-value is less than the level of significance alpha

5 0

2 years ago

Can any math genius help me with this

vovangra [49]

Here's my working for 1) You need to find the exterior angle, then divide by 360 to find the number of sides:

Applying these steps : 

180 (Interior Angles) - 162 = 18 (Exterior angle)

360 ÷ 18 is 20 sides 

For 2)

Its the same method, so apply the steps:

180 - 175 = 5

360 ÷ 5 = 72 sides 

Hope it helps! :) 

8 0

2 years ago