2. 5x + 7 + 2x
Is the answer 45x?

Function f(x) is increasing  for values of [tex]x<-1[/tex] and [tex]x>3[/tex] .

Therefore, option (B) is correct.

Given function is,

                        [tex]f(x)=(x^{2} -3)e^{-x}\\\\f(x)=x^{2} e^{-x}-3e^{-x}[/tex]

Taking first derivative of above function.

              [tex]f'(x)=2xe^{-x} -e^{-x} x^{2} +3e^{-x} \\\\f'(x)=e^{-x}(2x-x^{2} +3) \\\\f'(x)=-e^{-x}(x+1)(x-3)[/tex]

To find critical points, equate above derivative to zero.

We get,   x = -1 , x = 3

We have three interval,  (-∞ , -1) , (-1, 3) and (3, ∞)

Since, in interval (-∞ , -1)  and (3, ∞) function f(x) is positive.

Therefore, In interval  (-∞ , -1)  and (3, ∞) function is increasing.

Thus, option B is correct.

Learn more:

https://brainly.com/question/4494321?

Answer:

31/10, 3 1/9, 3.115, 3.45 in that order.

Step-by-step explanation:

Answer:

1/2 and 1/3

Step-by-step explanation:

Answer:

1/2,3/3=1,5/10,6/12,7/14,8/16,9/18,10/20,11/22,12/24,13/26,14/28,15/30,16/32,17/34,18/36,19/38,20/40,21/42

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

x= 2

hope it's helpful ❤❤❤

THANK YOU.

Answer:

x = 2

Step-by-step explanation:

→ Divide both sides by 8 to isolate x

x = 2

Answer:

D. (X³ + 3) (x³ - 3)

Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

Although there's multiple ways to solve this problem, my method will be to simply find the area for the full triangle (the empty + orange triangles) and subtract the area of the smaller, empty triangle.

Now, you that area for a triangle is 1/2*base*height.

To find the measurements for the full triangle, you must add up the bases for the two smaller triangles:

[tex]Base_{total} = Base_{empty} + Base_{orange} \\Base_{total} = 1.9ft + 3.1 ft\\Base_{total} = 5 ft[/tex]

Height is the same for both triangles so Height total = 4 ft.

Now the total area can be calculated:

Area total= 1/2* base_total * height_total

Area total = 1/2 * 5ft * 4 ft  

Area total = 20 / 2 = 10 ft squared

Lastly, subtract the area of the empty triangle from the total triangle to find the orange triangle.

Area Empty Triangle = 1/2 * base_empty * height_empty

Area Empty Triangle = 1/2 * 1.9ft * 4 ft = 7.6 ft / 2 = 3.8 ft squared

Area total - Area empty = 10ft^2 - 3.8ft^2 = 6.2 ft squared

Answer: For 20 hours it would be $1,500 and for 50 hours it would be $3,000.

Step-by-step explanation:

The equation for this problem would be y=50x+500.

Y is the total charge and x is the amount of hours. Plug in 20 and 50, and then you have your answer.

Answer:

x=6.67

Step-by-step explanation:

knowns:

both angles are equal to each other

so:

7x-15=4x+5

3x=20

x=20/3

x=6.666

Step-by-step explanation:

1. 3x+x-2x+8=3x+x

x-2x+8=x

x+8=x+2x

8=2x

8÷2=4

x=4

2. 2(2x+4)-2x=x+18

8+4x-2x=x+18

8+2x=x+18

2x=x+10

x=10

3. 2(x+3)+3x

2(5+3)+15

16+15

31

4. 3(2x)-3x+4=2x+5

6x-3x+4=2x+5

3x+4=2x+5

3x-2x+4=5

x=1

5. 3x+2x+x=x+6

6x=x+6

5x=6

x=6/5

6. 2(x+4)+x=16

2x+8+x=16

3x+8=16

3x=8

x=8/3

Hope I calculated it right you can check it in calculator

Answer:

C. 5, 12, 13

Step-by-step explanation:

A. 16, 32, 36

[tex]\sqrt{16^{2} +32^{2} } =\sqrt{256+1024} =\sqrt{1280} =16\sqrt{5} \\16\sqrt{5} \neq 36[/tex]

B. 6,7,8

[tex]\sqrt{6^{2} +7^{2} } =\sqrt{36+49} =\sqrt{85} \\\sqrt{85}\neq 8[/tex]

C. 5, 12, 13

[tex]\sqrt{5^{2} +12^{2} } =\sqrt{25+144} =\sqrt{169} =13\\13=13[/tex]

D. 8, 12, 16

[tex]\sqrt{8^{2} +12^{2} } =\sqrt{64+144} =\sqrt{208} =4\sqrt{13} \\4\sqrt{13}\neq 16[/tex]

Answer:

hope you can read my handwriting

Step-by-step explanation:

its located in quadrant I right now if its rotated 90° clockwise it would be in quadrant IV(4)

Answer:

He spent $30.54

Step-by-step explanation:

$4.45+$16.30=$20.75

$20.75 times 1.0865=$22.544875 rounded to 2 d.p. = $22.54

$22.54+$8=$30.54

Answer:

The answer would be 2644988790.657362.

Step-by-step explanation:

But if you want to round to the nearest hundredths:

the answer would be 2644988790.66.

Hope this helps!! ;)

Answer:

a = 60°

60°, 60°, 120°, and 120°.

Step-by-step explanation:

Sum of interior angles of a quadrilateral = 360°

Therefore:

a° + a° + 2a° + 2a° = 360°

Add like terms

6a = 360

Divide both sides by 6

a = 60

2a = 2(60) = 120°.

Angle measure from least to greatest are 60°, 60°, 120°, and 120°.

Answer:

A is 87

Step-by-step explanation:

Answer:

a) 87

i dont know (b) sorry

Answer:

Joe makes 5 dollars a week

Step-by-step explanation:

Joe started with 173 so you will subtract that from the total

208-173=35

You will then divide that number by the number of weeks he has worked

35÷7=5

Therefore joe makes 5 dollars a week

The amount of money that he earns each week will be $5 per week.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Joe has $173 he earns the same amount of money each week for seven weeks and put this money in the bank now Joe has $208 in the bank.

Let 'm' be the amount of money that he earns each week. Then the equation is written as,

208 = 7m + 173

Simplify the equation, then we have

208 = 7m + 173

35 = 7m

m = $5

The amount of money that he earns each week will be $5 per week.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

Answer:

4.5 miles last week

Step-by-step explanation:

There are 1760 yards in a miles so you would do 7920/1760 = 4.5

Answer:

I believe the correct answer is Point L

Answer:

Point O

Step-by-step explanation:

Answer:

48 °

Step-by-step explanation:

The following data were obtained from the question:

Adjacent = 12 cm

Hypothenus = 18 cm

Angle R =?

We can obtain angle R by using cosine ratio. This can be obtained as follow:

Cos R = Adjacent / Hypothenus

Cos R = 12 / 18

Cos R = 0.6667

Take the inverse of Cos

R = Cos¯¹ 0.6667

R = 48 °

Thus, <QRP = 48 °

Answer:

1400 Calories

Step-by-step explanation:

First we need to find the total Miles ran so we multiply 8 x 1.25

That would be 10.

If she burned 140 calories PER mile, then we multiply the miles by 140

10 x 140 = 1400

There is your answer :3

Answer:

(x - 3) (x - 8)

Step-by-step explanation:

Answer:

See the explanation bellow

Step-by-step explanation:

Given data

We are told that the total pounds of garbage is modeled by

f(x) = 50x + 5200

comparing the above expression with the equation of a line

y= mx+c,

we can see that

f(x) represents y, which the total garbage collected in pounds

m is 50 which is the amount of garbage in pounds collected per year

x is the number of years

and 5200 is the already existing garbage in pounds

Answer: A rotation about 270 degrees CW about the origin and 90 CCW about the orgin.

Step-by-step explanation:  Using the rules of 90 degrees Counterclockwise

(x,y)⇒( -y,x)

D is 3,2 then it  goes to  -2,3 which were A is

E is 3,7 then it goes to -7,3 which C is at

F is 10,5 then it goes to -5,10 where B at.

Also it 270 CW because 270 CW is the same as 90 CCW.

Answer:

109 m

Step-by-step explanation:

189-(15+36+29)=109 meters

Answer:

1. 665.1075

Step-by-step explanation:

the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon