Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.

Answer:

nwhbjwhr

Step-by-step explanation:

ewrwrwrwewe

Answer:

5π units

Step-by-step explanation:

The arc length of a semicircle is calculated as

length = [tex]\frac{1}{2}[/tex] πd ( d is the diameter ) , then

length = [tex]\frac{1}{2}[/tex] π × 10 = 5π units ← exact answer

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer:

(-5 , 6)

Step-by-step explanation:

f(x) = (x - (-5))² - 3     ... vertex (h , k) : (-5 , -3)     y = (x-h)² + k

g(x) = -f(x) + 3 = -((x+5)² - 3) + 3 = -(x + 5)² + 6

vertex of g(x) is : (-5 , 6)

Answer:

38 bows

Step-by-step explanation:

50 ÷ 1.3 ≡ 38 6/13

38 × 1.3 = 49.4

Since you cant make 6/13 of a ribbon, Elizabeth would be able to make 38 bows.

Answer:

0.35cm

Step-by-step explanation:

Step 1

We find the volume of the container.

The formula = Length × Width × Height

Length = 20cm

Width = 30cm

Height = 50cm

The volume of the tank = 20cm × 30cm × 50cm

= 30000 cm³

Step 2

We are told that:

The tank can fill exactly 200 of these containers

We have to find the volume that 1 cylinder will contain

Hence,

200 containers = 30000 cm³

1 container = x

Cross Multiply

200 × x = 30000cm³

x = 30000cm³/200

x = 150cm³

Step 3

We find the base radius of the cylindrical tank

Height = 4m

Convert to cm

1m = 100cm

4m = x

Cross Multiply

x = 4 × 100cm = 400cm

Volume of the cylinder = πr²h

Radius = √V/πh

Radius = √150/π × 400

Radius = 0.35 cm

Therefore, base radius = 0.35cm

Answer:

(-1, -5)

Step-by-step explanation:

going to the left makes you go into the (-, +) plane and going down from there makes you go into the (-, -) plane.

Answer:

[tex]6(x-10)(x+9)[/tex]

Step-by-step explanation:

First, make A equal one by factoring out the greatest common factor, 6. This makes the new expression [tex]6(x^{2} +x-90)[/tex]. Then, factor the remaining polynomial by finding two numbers that multiply to -90 and add to 1. These two numbers are -10 and 9. So, add each term to x and then multiply to get the final answer, [tex]6(x-10)(x+9)[/tex].

Answer:

(a) The complete table

[tex]\begin{array}{cccccc}Hours & {1} & {2} & {3} & {4} &{5}\ \\ {Amount} & {\$9.50} & {\$19.00} & {\$28.50} & {\$38.00} & {\$47.50} \ \end{array}[/tex]

(b) $38.00

(c) 3 hours

Step-by-step explanation:

Given

[tex]Earnings = \$9.50[/tex] per hour

See attachment for complete question;

Solving (a): Complete the table

To complete the table, we simply multiply the earnings by the number of hours.

So, we have:

[tex]Hours = 2 \to Earnings = \$9.50 * 2 = \$19.00[/tex]

[tex]Hours = 3 \to Earnings = \$9.50 * 3 = \$28.50[/tex]

[tex]Hours = 4 \to Earnings = \$9.50 * 4 = \$38.00[/tex]

[tex]Hours = 5 \to Earnings = \$9.50 * 5 = \$47.50[/tex]

Solving (b): Earnings, if Megan works for 4 hours

In (a) above, we have:

[tex]Hours = 4 \to Earnings = \$9.50 * 4 = \$38.00[/tex]

This implies that Megan will earn $38.00

Solving (c): Hours to earn $28.50

In (a) above, we have:

[tex]Hours = 3 \to Earnings = \$9.50 * 3 = \$28.50[/tex]

This implies that Megan will work for 3 hours to earn $28.50

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then vertex is minimum

• If a < 0 then vertex is maximum

Given

y = x² + 6x + 10

(a)

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = x² + 2(3)x + 9 - 9 + 10

y = (x + 3)² + 1 ← in vertex form

(b)

Since a = 1 > 0 then vertex is a minimum

(c)

(h, k ) = (- 3, 1 ) ← coordinates of vertex

Answer C

Step-by-step explanation:

Answer:

your answer is line plot D.

Step-by-step explanation:

Answer:

x=30m

Step-by-step explanation:

Smaller triangle of sizes 26m and 10m...

using Pythagoras rule...let the middle line that so the triangle be y...

26² = 10²+y²

26²-10²=y²

y²=676-100

y²=576

y=√576

y=24m

the middle line is now 24m

now the larger triangle of sizes 18m, 24m and x...

using Pythagoras rule...

x²=24²+18²

x²=576+324

x²=900

x=√900

x=30m

c.) 3(2x-6)

Reason:-

3(2x-6) = 6x-18

Answer:

C, D, and E are your answers

3 x 2x = 6x, 3 x 6 = 18

6x - 18

x + 5x = 6x

6x - 18

2 x 3x = 6x

2 x 9 = 18

6x - 18

Answer:

angles remain congruent

Step-by-step explanation:

all transformations, except dilations, do not change lengths of sides or angle measures

Answer:

24

Step-by-step explanation:

(25-10) ÷ 5 × 8

15 ÷ 5 × 8

3 × 8

24

Answer:

24

Step-by-step explanation:

Any work inside parentheses must be done first:  (5^2 - 10).  Also:

Exponentiation is done before addition/subtraction:  5^2 - 10 = 25 - 10 = 15

 So now we have 15 / 5 * 2^3 and recognize exponentiation again:

                               15 / 5 * 8

Then, since multiplication and division have the same order of priority,

carry out the division in 15/5 and then multiply the result (3) by 8

to obtain 24 (final answer)

Answer:

2.01 x 15 = 30.15

Step-by-step explanation:

2.01 x 15 = 30.15

or

201 * .15 = 30.15

Answer:

201 changes to 2.01 or 15 changes to 0.15

2.01 · 15 = 30.15

201 · 0.15 = 30.15

Step-by-step explanation:

Since 201 · 15 = 3015, and we want 30.15

We move the decimal two place to the left.

Since we did this on one side of the equation, we must do it on the other as well.

201 becomes 2.01. You could also change 15

15 becomes 0.15

Answer:

download algemator then you can find the answer

Answer:

2

Step-by-step explanation:

Answer:

It's 2 weve done the worksheet ;)

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Hope it helps! :D

Answer:

8/10

Step-by-step explanation:

12 - 4       8

-------- =  -----

7 - (-3)     10

Answer:

5

Step-by-step explanation:

y2 - y1 / x2 - x1

12 - (-3) / 7 -4

15 / 3

5

Answer:

2

Step-by-step explanation:

Answer:

Jack has 8 and his brother has 17

Step-by-step explanation:

j = # jack has

b = # brother has

j + b = 25

b = 1 + 2j  (brother has one more than twice the amount jack has)

j + 1 + 2j = 25

3j = 24

j = 8

b = 25-8 or 17

Answer:

7

Step-by-step explanation:

Answer:

what is a COP huhhh?????