what is the inverse of the function

Answer:

hope it helps

Answer:

\(x = \frac{z + 11y}{5}\)

Step-by-step explanation:

To solve for x, given the equation: z = 5x - 11y

Add 11y to both sides:

z + 11y = 5x - 11y + 11y

z + 11y = 5x

Divide both sides by 5 to isolate x:

\(\frac{z + 11y}{5} = \frac{5x}{5}\)

\(\frac{z + 11y}{5} = x\)

Answer:

the answer is x= 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

This linear graph will be shifted downward by 2 1/2 units:  first, from y = 1/2 to the x-axis, and next, from the x-axis by 2 more units, for a total shift of 2 1/2 units.

Answer: Find the prime factorisation of 70What is the prime factorization of 70? The prime factorization of 70 is 2 × 5 × 7.

Answer:

options: 83/90 92/99 83/9 83/100. 0.92 = 92 / 100

Step-by-step explanation:

The indefinite integral is (1/2) ln |1 + x²| + C.

We have,

We can use the substitution method to evaluate the integral.

Let u = 1 + x^2, then du/dx = 2x or dx = du/(2x).

Substituting u and dx in the integral.

∫(1 / (1 + x²)) dx = (1/2) ∫(1 / (u)) du

= (1/2) ln|u| + C

Substituting back u in terms of x.

∫(1 / (1 + x²))dx = (1/2) ln |1 + x²| + C

where C is the constant of integration.

Thus,

The indefinite integral is (1/2) ln |1 + x²| + C.

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Answer:

Well the absolute vaule will allways be postive. Therefore the answer being 2.  I Think.  

Step-by-step explanation:

Let's factor out the number 18:

18 = 2 * 3 * 3

this is the factor decomposition of 18 with all positive factors.

Therefore all possible positive factors for 18 are:

1 x 18

2 x 9

3 x 6

Answer:

no

Step-by-step explanation:

no

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = -7

a₂₉ = a₄ + (29-4)d = -61 + 25(-7) = -236

Answer:

\(a_{1}=35\) degrees

\(a_{2} = 75\) degrees

\(a_{3}=70\) degrees

Step-by-step explanation:

I have a picture that explains it.

The transformations that occur in g(x) as it relates to the graph of f(x) = x^2 are: Option(A) ,(F),(C)

Vertical Translation: Upward by 118 units

Horizontal Translation: Right by 251.5 units

Vertical Compression

To identify the transformations that occur in the function g(x) as it relates to the graph of f(x) = x^2, we need to compare the two functions.

The general form of the function f(x) = x^2 represents a quadratic function with no transformations applied to it. It is the parent function.

The function g(x) = -0.0018(x - 251.5)^2 + 118 represents a quadratic function with transformations. Let's break down the transformations:

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Answer:

6/5

Step-by-step explanation:

120/100 =

12/10 =

6/5

Answer:

12

Step-by-step explanation:

32×3/8

.................

Answer:

I dont understand. It isnt clear on what they want you to do.

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

The correct response is 12, as finding the predicted smoking and asbestos exposure group requires finding x, and in that case, the ratios in the rows and columns are equal.

4/2 = x/6 Or 6/2= x/4

This suggests that x = 12.

Smoking refers to the act of inhaling and exhaling the smoke produced by burning tobacco or other substances such as marijuana or hookah. It is a highly addictive habit that poses significant health risks to both smokers and those exposed to secondhand smoke. Smoking can lead to a variety of illnesses and diseases, including lung cancer, heart disease, stroke, chronic obstructive pulmonary disease (COPD), and various other cancers. It is estimated that smoking is responsible for nearly 8 million deaths globally each year.

The chemicals in tobacco smoke can also harm the environment, contributing to air pollution and litter. Despite the well-known risks associated with smoking, many people continue to smoke due to addiction, peer pressure, or a lack of understanding about the long-term consequences.

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Answer:

x = 12

Step-by-step explanation:

\(\sqrt{3x}\) + 10 = x + 4

\(\sqrt{3x}\) = x - 6

( \(\sqrt{3x}\) )² = ( x - 6 )²

3x = x² - 12x + 36

x² - 15x + 36 = 0

(x - 3)(x - 12) = 0

\(x_{1}\) = 3

\(x_{2}\) = 12

Check the answer:

\(\sqrt{3*3}\) + 10 ≠ 3 + 4

13 ≠ 7 ⇒ 3 is not the root of original equation (strange root)

\(\sqrt{3*12}\) + 10 = 12 + 4

16 = 16 ⇒ 12 is the root of original equation

Answer:

Step-by-step explanation:

let the cost of plan A be Y1

and the cost of plan B be Y2

let the number of minutes for both plans be x

let us model the cost of plan A

Y1= 13+0.37x-------1

let us model the cost of plan B

Y2= 28+0.15x------2

when Y1=Y2, we can now solve for x which is in minutes

13+0.37x=28+0.15x

collect like terms

13-28=0.15x-0.37x

-15=-0.22x

divide both sides by -0.22

x=-15/-0.22

x=68.18min

Answer:

22.5 packs of printer paper

Step-by-step explanation:

180/40 = 4.5

at a use of 4.5 per day over a period of 35 days, you have used 157.5

180-157.5 = 22.5

The number of packs of printer paper left after 35 days is given by the equation A = 27.5 packs of printing paper

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of packs of printer paper left after 35 days be A

Now , the equation will be

The total number of paper packs = 180 packs

The total number of days for the 180 packs of paper = 40 days

So , the number of packs of paper for 1 day = total number of paper packs / total number of days for the 180 packs of paper

Substituting the values in the equation , we get

The number of packs of paper for 1 day = 180 / 40

The number of packs of paper for 1 day = 4.5 paper packs a day

Now , the number of packs of paper for 35 days = 35 x number of packs of paper for 1 day

Substituting the values in the equation , we get

The number of packs of paper for 35 days = 35 x 4.5

The number of packs of paper for 35 days = 157.5 packs of paper

So , the number of packs of printer paper left after 35 days = total number of paper packs - number of packs of paper for 35 days

Substituting the values in the equation , we get

The number of packs of printer paper left after 35 days A = 180 - 157.5

The number of packs of printer paper left after 35 days A = 22.5 packs

Therefore , the value of A is 22.5 packs of paper

Hence , the number of packs of paper remaining is 22.5 packs

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The perimeter of Rebekah's new mural is 9 meters.

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

A rectangular mural measures 1 meter by 3 meters.

Rebekah creates a new mural that is 0.5 meters longer.

The perimeter of Rebekah's new mural,

= 2 (1.5 + 3)

= 9 meters.

Therefore, the perimeter is 9 meters.

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Answer:

9

Step-by-step explanation:

To solve the equation we need to know about expression.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

t can be written as  \(\rm{ \dfrac{I}{ p \times r}\).

Given to us

As the equation given to us, solving it for t,

\(\rm{ I = p \times r\times t\)

\(\rm{ t =\dfrac{I}{ p \times r}\)

Hence, t can be written as  \(\rm{ \dfrac{I}{ p \times r}\).

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Answer:

20 mi/gal

Step-by-step explanation:

310/ 15.5 = 20

The equation of the trajectory which can be described using the equations for projectile motion is; y(t) = x·tan(θ) - g·x²/(2·v₀²·cos²(θ)), which is a quadratic equation with a path of a parabola

Projectile motion is the motion of an object that is projected in the air under the influence of gravitational attraction.

Let θ represent the angle at which the path of the object makes with the horizontal, and let v₀ represent the velocity of the object. The path of the object can be described using the equations of the motion of a projectile, as follows;

Horizontal component of the velocity, v₀ₓ = v₀ × cos(θ)

Vertical component of the velocity, \(v_{0y}\) = v₀ × sin(θ)

The horizontal motion of the object is therefore;

x(t) = v₀ₓ × t = v₀ × cos(θ) × t

The vertical motion which is under the influence of gravity is; y(t) = \(v_{0y}\)  × t - (1/2) × g × t²

v₀ × sin(θ) × t - (1/2) × g × t²

The horizontal component indicates that we get;

t = x/(v₀ × cos(θ))

Plugging in the above expression for t into the equation for y(t), we get;

y(t) = \(v_{0y}\)  × t - (1/2) × g × t² = \(v_{0y}\)  × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²

\(v_{0y}\)  × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = (v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²

(v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = x·tan(θ) - g·x²/(2·v₀×cos(θ))²

The equation, y = x·tan(θ) - g·x²/(2·v₀×cos(θ))², is a quadratic equation, which is an equation of a parabola, therefore, the trajectory of an object thrown at an angle to the horizontal is a parabola.

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Answer:The answer is A: b^4/a

Step-by-step explanation:now i dont rly have an explaination but i got this in my test so ik its right!

100% verrified!

Answer:

24

Step-by-step explanation:

3*8=24 Inches^2

Answer: 24 sq. In.

Step-by-step explanation: area of a rectangle is l x w, or ab

Answer:

Step-by-step explanation:

If BD=1 then CD = AD cubed or cube root

The first system of equations has two parallel lines, then it has no solutions.

Here we have two systems of equations:

5x + y = 13

20x + 4y = 64

And:

5x + y = 13

20x = 52 - 4y

Now, a system of equations only has no solutions if both linear equations are parallel.

If we look at the first system of equations we can write:

5x + y = 13

20x + 4y = 64

y = 13 - 5x

4y = 64 - 20x

If we multiply the first equation by 4 we get:

4y = 52 - 20x

4y = 64 - 20x

Then the two equations are parallel, meaning that this is the system with no solutions.

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The rate of change of the distance between the cars at that instant is 5.46 meters/ second.

The first car's velocity = 7 meters per second

The second car's velocity = 3 meters per second.

Distance from the intersection of first car = 5m

Distance from the intersection of second car = 12m

The rate of change is used to numerically quantify the percentage change in value over a predetermined period of time. It is a measure of a variable's velocity.

Calculating the distance between both cars at the instant

= √(12² + 5²)

= √ 144 + 25

= √169

= 13

Calculating the rate of change of distance -

2d/dt

= d(x² + y²)/dt

= 2x dx/dt + 2ydy/dt

= 2×5×7 + 2×12×3

= 70 + 72

= 142

Therefore, total distance -

dd/dt

= 142/26

= 5.46

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