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RideAnS [48]
3 years ago
13

What are the real zeros of f(x) = x^3 +2x^2-5x-6

Mathematics
1 answer:
netineya [11]3 years ago
8 0

First of all Horner
First we try with -3
1. 2. -5. -6.
-3. 3. 6
1. -1. -2. 0
To verify: -3^3+2*-3^2+15-6=0

Now we have this equation
(X+3)*(x^2 - x -2)=0

I dont know If you know sum and product but that is the easiest way so sum= 1 product = 2 so 2 and -1 are the answers.
You can do this too by this way : b^2-4ac= D
X= (-b(+or-)d^1/2)/2a

So all the zeros
2, -1 and -3
If you want more explanation, send me a comment x
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HELP ME! <br>Please, I will give brainliest and extra points :) Thank you
Arte-miy333 [17]

Answer:

solution set of f(x) = g(x) is x∈{0,1}


Step-by-step explanation:

For all exponential functions b^x,

b^0 is always 1, and b^1 is always b.


f(x) = -3/4 x + 2

g(x) = (1/4)^x + 1

g(0) = 2, f(0) = 2

g(1) = 5/4, f(1) = 5/4




7 0
3 years ago
Please help, i am very confused<br> the answer has to be like 6π<br> so ignore the π
Mice21 [21]
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3 years ago
Solve each system of equations by graphing Y=3x+4 and y=-x-4
In-s [12.5K]
Y = 3x + 4
y = -x - 4

3x + 4 = -x - 4
3x + x = -4 - 4
4x = -8
x = -8/4
x = -2

y = 3x + 4
y = 3(-2) + 4
y = -6 + 4
y = -2

solution is (-2,-2) <==
6 0
3 years ago
A $52 video game is advertised for 20% off.If sales tax is 6% how much will the video game cost​
Usimov [2.4K]

Answer:

S44.10

Step-by-step explanation:

20% of 52 is 41.6

6% of 41.6 is 2.49600 US$ which rounds to 2.50

2.50+41.6=44.1

$44.10

7 0
3 years ago
A loaded 8-sided die is loaded so that the number 4 occurs 3/10 of the time while the other numbers occur with equal frequency.
Law Incorporation [45]

Answer:

4.4

Step-by-step explanation:

The sum of the probabilities of all possible outcomes is 1.

As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.

Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

\begin{array}{ | c | c | c | c | c | c | c | c | c |}\cline{1-9}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\cline{1-9} & & & & & & & &\\ \text{P}(X=x) & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{3}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10}\\& & & & & & & &\\\cline{1-9}\end{array}

Add a product row and a totals column:

\begin{array}{ | c | c | c | c | c | c | c | c | c | c |}\cline{1-10}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 &\text{Total} \\ \cline{1-10} &&&&&&&&& \\ \text{P}(X=x) & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{3}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & 1\\ &&&&&&&&&\\ \cline{1-10} &&&&&&&&&\\\text{Product} & \frac{1}{10} & \frac{2}{10} & \frac{3}{10} & \frac{12}{10} & \frac{5}{10} & \frac{6}{10} & \frac{7}{10} & \frac{8}{10} & \frac{44}{10} \\ &&&&&&&&&\\\cline{1-10}\end{array}

(The Product is row is the product of the <u>score on the die</u> and <u>its probability</u>).

The expected value (EV) is the sum of the product of each outcome and its probability.  

Therefore, the expected value (EV) of this die is 44/10 = 4.4

6 0
2 years ago
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