If f(x + 8) = f(x) + f(10), x = R, prove that:(i) f(-6)= -f(10)​

Answer:

Step-by-step explanation:

I am so sorry, but I actually don’t know how to do that. What grade is this? Dang it this is really hard.

Answer: 16.8

Step-by-step explanation: if x= 15 and y =12 we know that y =.8 of x or 4/5 of x.  Knowing this we can divide x (21) by 5 and get 4.2.  We can then multiply this and get 16.8 which is 4/5 of x(21).  y=16.8

Answer:

12,000

Step-by-step explanation:

the answer is 12,000 bc if its over 11,500 you round up and if its 11,400 then you round it to 11,000.

Given the function:

\(f(x) = x + 2 sinx\)In order to find the values of x in the interval [0, 2] for which the graph of f(x) = x + 2 sinx has a horizontal tangent, we have to differentiate the given function: f(x) = x + 2 sinx using the chain rule of differentiation.

Then, we get:

\(f'(x) = 1 + 2cosx\) Setting the above equation to zero, we have:

\(1 + 2cosx = 0 ⇒ 2cosx = -1 ⇒ cosx = -1/2\) Now, we know that \(cos(60°) = 1/2 and cos(120°) = -1/2\). Since we are given that x belongs to the interval [0, 2], we get the following values of x at which the graph of\(f(x) = x + 2 sinx\)has a horizontal tangent.

\(x = π/3 + 2πk or x = 5π/3 + 2πk\), where k is an integer lying between 0 and 3.Therefore, the values of x for which the graph of\(f(x) = x + 2 sinx\) has a horizontal tangent are given by \(x = π/3, 5π/3.\)

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Answer:

63+ 2x- 17 = 180 degree

or, 2x+46=180degree

or, 2x=180-46=134degree

or, x = 134÷2=67 degree ans.

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

275

Median is the middle number. In this scenario there are 2 middle numbers thus the avg between 250 and 300 are found.

Answer:

g=9

Step-by-step explanation:

assuming you actually meant 45/g, then it would be 5g=45

The solution for the equation is,

1. x = 2 and y = 1

2. no solution,

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

There are both one-variable and two-variable linear equations.

Given sets of equations,

1. x - y = 1

x + y = 3

add both the equations we get,

x - y + x + y = 1 + 3

2x = 4 (+y and -y eliminated)

x = 4/2 = 2

substitute value of  x

x + y = 3

2 + y = 3

y = 3 - 2 = 1

x = 2 and y = 1

2.  x + y = 1

x + y = 11

the equation has no solution because In this case, the two lines representing the equations are parallel to each other.

3. x + 4y = 11

x - 6y = 11

since both equations have the common constant for x we can subtract the equations,

x + 4y -(x - 6y) = 11 - 11

4y + 6y = 0

y = 0 and x = 11

4. -3x + 3y = 6

6x + 3y = 18

subtract equation 1 from 2

6x + 3y -(-3x + 3y) = 18 - 6

6x - 3y + 3x - 3y = 12

9x = 12

x = 12/9 = 4/3

substitute value of x

-3x + 3y = 6

-3(4/3) + 3y = 6

-4 + 3y = 6

y = 10/3

Hence the solution is 1. x = 2 and y = 1

2. no solution,

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3.

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Answer:

1064.8 km³

Step-by-step explanation:

The triangular base of the prism can be divided into a right triangle and an isosceles triangle. The right triangle has legs of 10 km and 8.8 km, while the isosceles triangle has two sides of 12 km and an altitude of 8.8 km.

To find the area of the triangular base, we can use the formula for the area of a triangle:

Area = ½ * base * height

For the right triangle, the base is 10 km and the height is 8.8 km, so the area is:

Area = ½ * 10 km * 8.8 km = 44 km²

For the isosceles triangle, the base is 12 km and the height is also 8.8 km, so the area is:

Area = ½ * 12 km * 8.8 km = 52.8 km²

The total area of the triangular base is the sum of the areas of the two triangles:

Total Area = 44 km² + 52.8 km² = 96.8 km²

To find the volume of the prism, we can multiply the area of the base by the height of the prism:

Volume = Base Area * Height

Volume = 96.8 km² * 11 km = 1064.8 km³

Rounding to the nearest tenth, the volume of the prism is 1064.8 km³.

The volume of the given triangular prism is 975.7 km³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

The figure is a triangular prism, with a triangular base and three rectangular faces.

To calculate the volume of the prism, we will use the formula V = Bh, where B is the area of the base and h is the height of the prism.

The area of the base can be calculated using Heron's formula:

Area = √s(s-a)(s-b)(s-c)

where a, b, and c are the side lengths of the triangle and s is the semi perimeter (half of the perimeter).

For this figure, the side lengths are 10 km, 12 km, and 13 km, and the semi perimeter is (10 + 12 + 13)/2 = 35/2 = 17.5 km.

Substituting these values into Heron's formula, we get:

Area = √(17.5)(7.5)(5.5)(4.5) = 88.7 km²

Now that we have the area of the base, we can use the formula V = Bh to calculate the volume of the prism:

V = 88.7 km² × 11 km = 975.7 km³

Therefore, the volume of the given triangular prism is 975.7 km³.

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lets take

x+y=100 firstly.

then x=100-y equation (i)

Now,

x-y=10

Putting value of x from equation(i)

100-y-y=10

-2y=10-100

-2y=-90

therefore, y=45

Now,

putting value of y in equation(i)

we get

x=100-45

ie x=55

hence, x=55 & y=45

Answer:

The solution is (55, 45).

Step-by-step explanation:

Solve the system of linear equations

x + y = 100

x - y = 10

through elimination by addition / subtraction.

Combining these two equations temporarily eliminates y, leaving us with 2x = 110.  Then x = 55.

Substituting 55 for x in the first equation, we get:

55 + y = 100.  Subtracting 55 from both sides leaves us with y = 45.

The solution is (55, 45).

Answer:

t ≤ − 4

Step-by-step explanation:

Answer: t ≤ -4

Step-by-step explanation:

rearrange the problem 24-(-6*t)≤0  Pull out like factors :24 + 6t  =   6 • (t + 4)

Divide both sides by 6    Subtract  4  from both sides t ≤ -4

Answer: 14

Step-by-step explanation: 42 divided by 3 is 14.

As a fraction: 42/3

Answer:

42÷3= 14?

Step-by-step explanation:

Answer:

uhh precious why u stalkin me????

Step-by-step explanation:

Answer:

its easy

Look at the pictures.

Please mark brainlest

If you cant see the result is 24f+24d

The correct relation which is the inverse of relation is,

⇒ y → x

We have to given that,

Relation is defined as,

⇒ x → y

Since we know that,

An inverse relation is, as the name implies, the inverse of a relationship. Let us review what a relation is. A relation is a set of ordered pairs. Consider the two sets A and B.

The set of all ordered pairings of the type (x, y) where x A and y B are represented by A x B is then termed the cartesian product of A and B. A relation is any subset of the cartesian product A x B.

Now, We can write the inverse of relation is,

⇒ x → y

⇒ y → x

Thus, The correct relation which is the inverse of relation is,

⇒ y → x

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Answer:

Of the given options, "an engine" is the most reasonable abstraction for a car.

An engine is a fundamental component of a car that powers its movement, and it is present in almost all cars. The number of miles driven and the driving car color are characteristics of a specific car rather than abstractions of a car itself. For example, a car can still be considered a car even if it has not been driven any miles yet or if it has no color at all.

Therefore, an engine is a more reasonable abstraction for a car as it captures an essential feature of a car that is present in all cars.

The solution is, D. Driving, a reasonable abstraction for a car includes. Driving is an action or behavior associated with a car, as it involves operating or using the car to travel from one place to another. It is an essential aspect of the car's purpose and function.

Here, we have,

we know that,

An engine is a machine designed to convert fuel into mechanical energy that can be used to power other machines or devices. In the context of automobiles, an engine is the primary source of power that drives the vehicle. It typically operates by burning fuel in a combustion chamber to generate high-pressure gases that drive a piston, which in turn rotates a crankshaft that ultimately powers the car's wheels.

Car color and number of miles driven are characteristics or properties of a car, while an engine is a component that helps to power the car. Driving, on the other hand, is an action or behavior associated with a car, as it refers to the act of operating or using the car to travel from one place to another.

Therefore, driving is a reasonable abstraction for a car, as it captures an essential aspect of the car's purpose and function.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

Its A

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

Triangles  FEH and FGH are congruent

They are both right angles and the  hypotenuse and  a leg ( the side FH) are both equal in length.

The highest frequency of any score in the histogram would be 5/20 = 0.25.

The score that has the highest frequency is 8. This is determined by counting the number of bars corresponding to each score. In this histogram, there are 5 bars corresponding to the score 8, which is the highest number compared to any other score.

Formulaically, we can calculate the frequency for each score by dividing the number of observations for that score by the total number of observations. For the score 8, this would be 5/20 = 0.25. This is the highest frequency of any score in the histogram.

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Answer:

AC or Alternating current electricity

Step-by-step explanation:

Q9.1: To justify the proposal, we need to compare the benefits of the road expansion (in terms of reduced travel time) with its costs. The value of time represents the monetary value individuals place on their time spent traveling. In this case, the value of time is $1.5 per minute.

First, let's calculate the reduction in travel time resulting from the road expansion. We compare the two road performance functions: t1​ = 30 + 6×10−6q and t2​ = 20 + 3×10−6q. By subtracting t2​ from t1​, we can determine the time savings: Δt = t1​ - t2​ = (30 + 6×10−6q) - (20 + 3×10−6q)    = 10 + 3×10−6q Next, we multiply the time savings by the number of trips (q) to obtain the total time savings: Total Time Savings = Δt × q = (10 + 3×10−6q) × q Now, we can determine the monetary value of the time savings by multiplying the total time savings by the value of time ($1.5 per minute): Monetary Value of Time Savings = Total Time Savings × Value of Time                             

= (10 + 3×10−6q) × q × $1.5  If the monetary value of the time savings exceeds the construction cost of $9.6×107, then the proposal is justified. Q9.2: To determine the construction cost at which the proposal becomes justified, we set the monetary value of the time savings equal to the construction cost and solve for q: (10 + 3×10−6q) × q × $1.5 = $9.6×107 By solving this equation for q, we can find the corresponding construction cost at which the proposal becomes justified.

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To write the expression \(6 \frac{7}{12}\)  in radical form.

To express the radical form in simplest it just means simplifying the radical so that there are further no more square root, cube root etc.

Use the rule:

\(a\frac{x}{y}\) = \(\sqrt[y]{a^{2} }\)

Apply this rule on the the given expression:

\(6\frac{7}{12} = \sqrt[12]{6^{7} }\)

Therefore, the expression in radical form is \(\sqrt[12]{6^{7} }\)

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

-19  -19

3m-19=-n      Divide everything by -1 to make n positive.

/-1        /-1

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        -95 -95

-13m=-65                    Divide both sides by -13.

/-13    /-13

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

Answer:

I need points sorry for this

Answer:

x=67

Step-by-step explanation:

The correct statement is,

(B) f(x) has a greater maximum value than g(x).

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function f (x) is,

f (x) = - 8x² + 7

Now, First, we determine the maximum point of f(x).

f(x) is at maximum at the point of symmetry, i.e. where x = - b/a

Here, a = -8, b = 0

Hence, x = - 0 / - 8 = 0

So, We get;

f (0) = - 8 x 0 + 7 = 7

Thus,

The maximum point of f(x) is (0,7)

And, The maximum point of g(x) is (2,6)

Therefore, f(x) has a greater maximum value than g(x).

Hence3, The correct option is B.

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Answer:

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

Explanation:

Oxford dictionary definition

Step-by-step explanation:

a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center