1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Damm [24]
3 years ago
10

How do you solve: f(x) = -x2e-x +2xe-x , finding the zero's of f.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

Answer:

0 and 2

Step-by-step explanation:

f(x) = -x^2e^{-x}+2xe^{-x}

To find zeros set f(x)=0  and solve for x

0 = -x^2e^{-x}+2xe^{-x}

0 = -e^{-x}(x^2-2x)

now factor out x

0 = -xe^{-x}(x-2)

set each factor =0 and solve for x

x=0

-e^{-x}=0 no solution for x

x-2=0, x=2

zeros of f  are 0 and 2

You might be interested in
What is 7100 minutes converted to day's hours and minutes?
Stels [109]
7100 mins = 7100 mins
7100 mins = 118.33 hours 
7100 mins = 4.9 days
6 0
3 years ago
Read 2 more answers
Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x
saveliy_v [14]

step 1: distributive property.

step 2: combine like terms.

step 3: subtraction property of equality.

step 4: addition property of equality.

step 5: division property of equality.  

hope this helps.

3 0
3 years ago
Read 2 more answers
Let f(x) = x - 2 and g(x) = x2 - 7x - 9. Find f(g(-1))
Montano1993 [528]
f(x)=x-2 \\
g(x)=x^2-7x-9 \\ \\
g(-1)=(-1)^2-7 \times (-1)-9 = 1+7-9=-1 \\
f(g(-1))=f(-1)=-1-2=-3 \\ \\
\boxed{f(g(-1))=-3}
4 0
3 years ago
Find all the missing elements. NEED HELP PLZZZZ
IgorC [24]

Answer:

  • B=42°
  • C=98°
  • c=10.7 units

Step-by-step explanation:

Given

  • Angle A = Ф = 40°
  • a=8
  • b=7

We know that trigonometric ratio as

  • sin Ф = opposite/hypotenuse
  • cos Ф = adjacent/hypotenuse
  • tan Ф = opposite/adjacent

as

sin A = sin 40 = opposite/hypotenuse

From the diagram, it is clear that the opposite of angle A is a=8 and the hypotenuse is 'c'.

also the angle

sin A = sin 40 = opposite/hypotenuse = a/c = 8/c

sin 40 = 8/c

c = 8/sin 40

c = 8/0.745

c = 10.7

so the value of c will be: 10.7 units

so

tan B = opposite/adjacent

         = b/a

         = 0.9

B=\tan ^{-1}\left(0.9\right)

   =42^{\circ \:}

Therefore, the value of B = 42^{\circ \:}

As the sum of the angles of triangle ABC is 180.

i.e.

A+B+C = 180

(40)° + (42)° + C = 180°

C = 180° - 40° - 42°

  = 98°

Therefore, the value of C = 98°

Hence,

  • B=42°
  • C=98°
  • c=10.7 units
7 0
3 years ago
Ok for this one im really stuck and i need help.just want to make sure i understand this one.
tangare [24]

Answer:

70 - 5√10 ft²

Explanation:

Perimeter is the distance around a two-dimensional shape.

                       area of rectangle: length x width

Here given:

length: (3√2 + 4√5) ft

width: (-5√2 + 5√5) ft

Solve for perimeter:

length x width

(3√2 + 4√5) x (-5√2 + 5√5)

<u>apply distributive method</u>

(3√2)(-5√2) + (3√2)(5√5) + (4√5)(-5√2) + (4√5)(5√5)

<u>multiply</u>

-15(2) + 15√10 -20√10 + 20(5)

<u>combine</u>

-30 -5√10 + 100

<u>simplify</u>

70 - 5√10

4 0
2 years ago
Other questions:
  • Please can you tell me if it is Complementary, supplementary, or neither. also what is "x"
    15·2 answers
  • Box and Whisker Plot?!!! Help pls !!!!
    8·1 answer
  • One solution of x^2-64=0 is 8. What is the other solution?
    11·1 answer
  • 2500 people took part in a race. The number of adults was 4 times the number of children. There were 1200 men. How many women we
    12·1 answer
  • Distributive property:
    9·2 answers
  • Solve: -2+5x-7=3x-9+2x
    13·2 answers
  • Will give brainliest.
    13·1 answer
  • If (x+5) is one of the factors of the polynomial x3 + x2 - 32x - 60, find the remaining roots.
    5·2 answers
  • Rewrite x1/2 in radical form.<br><br> A. √x<br> B. √x2<br> C. 1/√x<br> D. -√x
    15·1 answer
  • Change the following fraction to a mixed number with the fraction part reduced to lowest terms. 83/42
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!