All categories

2 years ago

Given f(x) = x3 – 2x2 – x + 2, the roots of f(x) are

Mathematics

2 answers:

ANTONII [103]2 years ago

8 0

Answer:

Question 1: -1, 1, 2

Question 2: B

Question 3: 1, 2, below

Step-by-step explanation:

kolezko [41]2 years ago

3 0

You have the following expression given in the problem:

f(x) = x³ – 2x² – x + 2

Therefore, to find the roots, you must apply the proccedure shown below:

1. You have:

0 = x3 – 2x2 – x + 2

2. Then, when you factor, you obtain:

(x-2)(x-1)(x+1)=0

3. Therefore, you have that the roots are the following:

x1=-1
x2=1
x3=2

You might be interested in

The manager of a vacation resort believes that the ages of adult visitors to the resort can be modeled by a normal distribution.

8090 [49]

Step-by-step explanation:

(a) A histogram is like a bar graph, but with ranges instead of values.

(b) The distribution is approximately uniform, with slightly more people at the younger and older ends than in the middle.

(c) The ages do not appear to come from a normal distribution. Normal distributions are bell-shaped, tall in the middle and short on the sides.

7 0

2 years ago

Carissa counts by 5s from 32 to 62. Which number does carissa count?

Anna35 [415]

Answer:

32, 37, 42, 47, 52, 57, 62.

Step-by-step explanation:

It is given that Carissa counts by 5s from 32 to 62.

It means, we have to add 5 in the number to get the next number.

Add 5 in 32.

$32+5=37$

Now, add 5 in 37.

$37+5=42$

Similarly, continue the process.

$42+5=47$

$47+5=52$

$52+5=57$

$57+5=62$

Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.

4 0

2 years ago

I need answers ASAP!!!

Trava [24]

Answer:

C) Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.

Step-by-step explanation:

When naming congruent shapes, the orders of the congruent vertex letters need to be the same.

Since these are isosceles triangles, the base angles are the same:

m∠R = m∠T = m∠A = m∠C

Therefore the congruency statement can be written two different ways.

ΔABC ≅ ΔRST

ΔABC ≅ ΔTSR

Both statements could be correct.

Choosing between B) and C):

To move ΔABC to where ΔRST or ΔTSR is, you could either:

i) Translate 6 units to the left, and translate 3 units down

ii) Reflect across the y-axis, and translate 3 units down

It can be the result of two translations or a reflection and a translation.

In the result, the base side RT is on the bottom of the shape, like side AC. If you rotated the shape, the base side would not be on the bottom. Therefore B) is incorrect.

4 0

2 years ago

Read 2 more answers

An Adult ticket at an amusement park costs $24.95 and a child's ticket costs $15.95. A group of 10 people paid $186.50 to enter

leva [86]

Answer:

There were 3 adults

Step-by-step explanation:

Step 1: Derive the first expression

a+c=10...equation 1

where;

a=number of adults