if y= 2f(g(x)), then d^2y/dx^2=​

Answer: y = 2x - 6

Step-by-step explanation:

   Let us turn the second given equation into slope-intercept form to match the first equation.

8x - 4y = 12

8x - 12 = 4y

4y = 8x - 12

y = 2x - 3

   Now, parallel lines have the same slope. This is the m value.

y = 2x - 3

   \/

y = mx - 6

y = 2x - 6

    Read more about your question here which includes parallel slopes:

         https://brainly.com/question/2406233

Answer:

24

Step-by-step explanation:

when you open up the parenthesis, you get -8x-3 which is 24.

negative x negative = positive

Answer:

-6

30

22

8x² + 18x + 4

8x² - 2x - 6

Step-by-step explanation:

f(x) = 8x² + 2x - 6

f(0) = 8(0²) + 2(0) - 6 = -6

f(2) = 8(2²) + 2(2) - 6 = 32 + 4 - 6 = 30

f(-2) = 8 × (-2)² + 2(-2) - 6 = 32 - 4 - 6 = 22

f(x + 1) = 8(x + 1)² + 2(x + 1) - 6 = 8(x² + 2x + 1) + 2x + 2 - 6 = 8x² + 18x + 4

f(-x) = 8(-x)² + 2(-x) - 6 = 8x² - 2x - 6

The word in the problem that indicates that a negative sign should be used is "descend"

We know that he stops for water breaks four times, and between each water break, he descends 15 meters.

The written equation is:

4*(-15)m = -60m

Why the negative sign is used?

The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"

If you want to learn more about signs:

https://brainly.com/question/5870782

#SPJ1

Answer:

would love to help but what  are the statements?

Answer:

19.25(miles?)

Step-by-step explanation:

Assuming 3.5 is the x value or input of the function

3.5 x 5.5 = 19.25

Answer:

[tex] \frac{2}{33} [/tex]

Step-by-step explanation:

There are 22 cookies in all.

The probability of selecting an oatmeal cookie is 4/22, or 2/11. Since that cookie is eaten, there are 21 cookies left, so the probability of selecting a chocolate chip cookie is 7/21, or 1/3. Multiplying these probabilities, we have 2/33.

Answer:

+ 9 and - 4

Step-by-step explanation:

9 × - 4 = - 36

9 + (- 4) = 9 - 4 = 5

Answer:

The two numbers are :

9 and -4

9 x -4 = -36

9 + (-4) = 5

Step-by-step explanation:

Hope It Helps!!!

Answer:

y = 1/2 x - 4

Step-by-step explanation:

point slope form would be

( y - - 3) = 1/2 (x-2)       you can re-arrange as

y = 1/2x -4

Answer:

A

Step-by-step explanation:multiply both sides by two, then subtract b and c from both sides to get a on the right side by itself

Answer:

О A      a = 2s - b - c

Step-by-step explanation:

S = (a+b+c)/2

2s = a + b +c

2s - b - c = a

Answer:

38 is the correct solution

Answer:

-×-=+

49×3

147

Step-by-step explanation:

please mark me as brainlest

The measure of angle ∠ACB is 70°. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

∠ABC + ∠BCA + ∠CAB = 180°

        60° + ∠BCA + 50° = 180°

                           ∠BCA = 180° – 110°

                           ∠BCA = 70°

Then the correct option is C.

The complete question is given below.

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of ABC is 60

The measure of BAC is 50

The measure of ACB will be

a. 50

b. 60

c. 70

d. 120

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Answer:

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of angle ABC is

✔ 60

°.

The measure of angle BAC is

✔ 50

°.

The measure of angle ACB is

✔ 70

°.

Step-by-step explanation:

Answer:

The angles are 72° and 108°

Step-by-step explanation:

Supplementary angles add up to 180°

Ratio of supplementary angles = 2 : 3

The angles are 2x , 3x

2x + 3x = 180

        5x = 180

          x = 180 ÷ 5

         x = 36°

2x = 2*36 = 72°

3x = 3*36 = 108°

If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value of sine of θ is 21/29.

Then the value of θ will be

sin θ = 21/29

     θ = sin⁻¹(21 / 29)

     θ = 46.4°

Then the value of the cosine of θ will be

cos θ = cos 46.4°

cos θ = 20/29

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ1

Answer:

$123.21 (nearest cent)

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=100\left(1+0.11\right)^{2}[/tex]

[tex]\implies \sf A=100\left(1.11\right)^{2}[/tex]

[tex]\implies \sf A=123.21[/tex]

Therefore, the value of the account in 2 years will be $123.21 (nearest cent).

That shaded region area we need

Area

Answer: Domain: (-∞, 0) U (0, ∞)

Step-by-step explanation:

[tex]\frac{12}{x} *-8x^{3}[/tex]

[tex]=-96x^2[/tex]

Domain: (-∞, 0) U (0, ∞)

The equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.

Equivalent equations are the equations that are transformed from one equation to another equation, but the final values they give are equal. It's just the change of the variable on which the equation is derived.

The simple interest equation that Celo used is A = P(1 + rt).

This is currently used to find the final amount A.

On isolating P to one side of the equation in the following ways:

A = P(1 + rt),

or, A/(1 + rt) = {P(1 + rt)}/(1 + rt) {Dividing both sides by (1 + rt)}.

or, A/(1 + rt) = P {Simplifying}.

or, P = A/(1 + rt) {Changing sides}.

Thus, the equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.

Learn more about equivalent equations at

https://brainly.com/question/22441071

#SPJ4

The equation of volume will be V = [(1/2)t + 4]³. The surface area as a function of time will be A(s) = 3/2 t² + 24t + 96. The number of hours when the surface area equal 294 square inches will be 3 1/2 hours.

Functions are found all across mathematics and are required for the creation of complex relationships.

Part A: The equation that gives the volume at t hours after freezing begins will be

V = s³

V = [(1/2)t + 4]³

Part B: The surface area as a function of time, using composition, and determine its range will be

A(s) = 6(1/2 t + 4)²

A(s) = 6 (t²/4 + 4t + 16)

A(s) = 3/2 t² + 24t + 96

Part C: The number of hours when the surface area equal 294 square inches will be

294 = 6(1/2 t + 4)²

49 = (1/2 t + 4)²

7 = 1/2 t + 4

1/2 t = 3

t = 3 1/2 hours

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

The relation written as a set of ordered pair is given as: : {(–2, 2), (0, 0), (3, –3)}. (Option D)

An ordered pair is a in math is one that comprises coordinates of one point in the coordinate system where the first is the x coordinate and the other is representative of the y coordinate.

Thus the correct ordered pair is option D. See the graph attached.

Learn more about ordered pair at:
https://brainly.com/question/1528681
#SPJ1

Answer:

that means that the new ones contains c-14*32/100

Hope This Helps!!!

The volume of the pyramid on the left is greater by 8 inches cubed

We have given that,

A rectangular pyramid on the left with a base of 7 inches by 6 inches and a height of 3 inches.

A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.

The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed.

The equation for finding the volume of a pyramid is,

lwh/3

when you input the values of the two pyramids into this equation you get the left pyramid having a volume of 128 inches cubed and the right pyramid having a volume of 120 inches cubed.

Therefore, 128 - 120 = 8

To learn more about the pyramid visit:

https://brainly.com/question/218706

#SPJ1

The height of figure 1 that is similar to figure 2 is: D. 4 units.

The corresponding linear measurements of similar figures are proportional. Therefore, we would have:

4x/2x = x + 1/x

Solve for x

2 = x + 1/x

2x = x + 1

2x - x = 1

x = 1

Height of figure 1 = 4x = 4(1) = 4 units.

Learn more about similar figures on:

https://brainly.com/question/4381215

#SPJ1

Answer:

10hr/m because the average velocity is divided by number

The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

The given parameters are:

Password length = 8

Letters = 6

Numbers = 2

There are 26 letters and 10 digits.

Since the letters and the numbers can be repeated, then the number of passwords is:

Count = 26^6 * 10^2

Evaluate

Count = 30891577600

Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

So

[tex]\\ \rm\Rrightarrow r=\sqrt{a^2+b^2}[/tex]

[tex]\\ \rm\Rrightarrow r=\sqrt{(-3)^2+(\sqrt{3})^2}[/tex]

[tex]\\ \rm\Rrightarrow r=\sqrt{9+3}[/tex]

[tex]\\ \rm\Rrightarrow r=\sqrt{12}[/tex]

[tex]\\ \rm\Rrightarrow r=2\sqrt{3}[/tex]

Find theta

[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{y}{x})[/tex]

[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{\sqrt{3}}{3})[/tex]

[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{-1}{\sqrt{3}})[/tex]

[tex]\\ \rm\Rrightarrow \theta=\dfrac{5\pi}{6}[/tex]

Polar form

[tex]\\ \rm\Rrightarrow r(cos\theta+isin\theta)[/tex]

[tex]\\ \rm\Rrightarrow 2\sqrt{3}(cos\dfrac{5\pi}{6}+isin\dfrac{5\pi}{6})[/tex]