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What is the solution to this equation?
5x+15 + 2x = 24 +4x
A. x = 3
B. x=9/11
C. x = 13
D. x =39/11

Answer:

answered by g a u t h m a t h

Step-by-step explanation:

Step-by-step explanation:

3x^2 - 3x + 2 = 2      subtract 3 from each side of the equations

3x^2 - 3x -1 = -1         see image below ....look at the red line ( y = -1) where it crosses the blue graph are the solutions ( the 'x' values)

3x^2 - 3x -1 = x+1      This one is a bit difficult using just the graph....see second image

The lengths of the diagonals are:

GE = 8√5 units

DE = 4√5 Units

Area = 80 sq. units

We have been given an image of a kite on coordinate plane.

To find the length of GE we will use distance formula:

Distance = √[x₂ - x₁)² + (y₂ - y₁)²]

Substituting coordinates of point G and E in above formula we will get,  

GE = √[16 - 0)² + (8 - 0)²]

GE = √(256 + 64)

GE = √320

GE = 8√5 units

Similarly we will find the length of diagonal DF using distance formula.

DF = √[14 - 10)² + (2 - 10)²]

DE = √(16 + 64)

DE = √80

DE = 4√5 Units

Area of kite is given by the formula:

Area = (p * q)/2

where p and q are diagonals of kite.

Thus:

Area = ( 8√5 *  4√5)/2

Area = 80 sq. units

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Answer:

1) x < 2

2) x > -4

3) x < 6

Answer:

Step-by-step explanation:

Answer:

commutative property

Step-by-step explanation:

It's basically just changing the order of the equation.

Answer: Tigers = 46     Bears = 44

Step-by-step explanation:

Let x represent the numbers of points scored by the Bears.

then x + 2 is the number of points scored by the Tigers.

Bears + Tigers = Total

  x      +  x + 2  =   90

            2x + 2 =   90

            2x       =    88

              x       =    44

Bears (x) = 44

Tigers (x + 2) = 44 + 2 = 46

Answer:

\(x=7\)

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees.

So we have  \(108+47+(2x+11)=180\)

Solve for x.

\(47+(2x+11)=72\)

\(2x+11=25\)

\(2x=14\)

\(x=7\)

Answer:

7

Step-by-step explanation:

108+47=155

180-155=25

25-11=14

14/2=7

Answer:

be+bh=eh.

Step-by-step explanation:

am I right or wrong

Given:

Two points are (-6,4) and (-4,10).

To find:

The gradient of the line segment between the given points.

Solution:

Gradient (slope) of the line segment between the given points is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Two endpoints of the line segment are (-6,4) and (-4,10). So, the gradient is

\(m=\dfrac{10-4}{-4-(-6)}\)

\(m=\dfrac{6}{-4+6}\)

\(m=\dfrac{6}{2}\)

\(m=3\)

Therefore, the gradient of the line segment between the points (-6,4) and (-4,10) is 3.

The square has a 48 centimeter perimeter.

To find the perimeter of the square, we need to calculate its side length. The area of a rectangle is given by its length multiplied by its width, so we can use the given measurements of the rectangle to calculate its area: 25 cm x 16 cm = 400 cm². The area of a square is given by the square of its side length, so we can use the area of the rectangle to calculate the side length of the square: √400 cm² = 20 cm.

Thus, the perimeter of the square is equal to 4 times its side length, or 4 x 20 cm = 80 cm.

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Answer:

a 1/3

b 1/9

Step-by-step explanation:

a. express with a positive exponent  using a^-n = 1/a^n

1/9^1/2

write in exponential form

1/ (3^2)^1/2

cancel out the 2 and 1/2

1/3

Answer: 105 miles

Step-by-step explanation:

You can write an equation for this problem and solve it.

32 miles=1/3x-3, where x is equal to the total length of the highway.

35=1/3x, and then you multiply by 3, to get x=105

The statement (D) "If f(c) is differentiable on its domain, then it is also continuous on its domain" must be true.

(A) The statement "Continuous functions are differentiable wherever they are defined" is false. While it is true that differentiable functions are continuous, the converse is not always true. There exist continuous functions that are not differentiable at certain points, such as functions with sharp corners or cusps.

(C) The statement "If f() is differentiable on the interval (0,0), then it must be differentiable everywhere" is false. Differentiability on a specific interval does not imply differentiability everywhere. A function can be differentiable on a particular interval but not differentiable at isolated points or on other intervals.

(D) The statement "If f(c) is differentiable on its domain, then it is also continuous on its domain" is true. Differentiability implies continuity. If a function is differentiable at a point, it must also be continuous at that point. Therefore, if f(c) is differentiable on its domain, it must also be continuous on its domain.

(B) The statement "The product of two differentiable functions is not always differentiable" is false. The product of two differentiable functions is always differentiable. This is known as the product rule in calculus, which states that if two functions are differentiable, then their product is also differentiable.

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Answer:

7 quarters and 3 dimes

Step-by-step explanation:

x: quarter       y: dime

25x + 10y = 205

x+y=10

y = 10-x

25x + 10*(10-x) = 205

25x+100 -10x = 205

15x = 105

x = 7

7 = 10-7 = 3

Answer: i think the answer is d or c im not to sure

Step-by-step explanation:

Answer:

your answer is not a function for the (0,0)

and the rest of the other 2 plots  with 1.5 are is your top answer and there's your answers i belive on my opinion

Answer:

8units

Step-by-step explanation:

area of a triangle=1/2base x height

1/2×4×4

2×4

8units

Answer: mr lee is 37 year .

Step-by-step explanation:32+5=37

Answer:

Mr. lee is 35 yrs old right now. his son 3

Step-by-step explanation:

after 5 yrs, his son will be 8 and lee 40, 8×5=40

See picture for math work and answer.

It is true that statistical sampling uses Monte Carlo simulation, where a greater number of trials are employed to obtain a precise answer.

A mathematical method or statistical sampling called Monte Carlo simulation is used to forecast all potential outcomes of any unknown event.

As it relies on historical data to forecast future results, the accuracy increases with the number of trials.

You can review more old data to anticipate the first month's sales of any newly launched product, for instance.

It aids in more precise probability calculations.

As a result, more trials are necessary for an accurate result in Monte Carlo simulation statistical sampling.

Therefore, it is true that statistical sampling uses Monte Carlo simulation, where a greater number of trials are employed to obtain a precise answer.

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To maximize the revenue, we need to multiply the price with the number of units sold. So, the revenue function can be derived from the demand function.q = 120 − 3p²R = p * q= p(120 − 3p²) = 120p − 3p³

We need to maximize the revenue with respect to p. So we take the first derivative of the revenue function.

R' = 120 − 9p²

We will then find the critical points of the function by equating R' to zero.

0 = 120 − 9p²

9p² = 120p² = 40p = ±2√10

The critical points are 2√10 and -2√10.

We need to find which point is the maximum to find the p that will maximize revenue.

To do this, we take the second derivative of the revenue function.

R'' = -18p

Since R'' is negative for both critical points, it means that both points are maximums.

Thus, both p = 2√10 and p = -2√10 will maximize revenue.

We can choose p = 2√10 since the price of a product cannot be negative.

Therefore, the p that will maximize revenue is 2√10.

The price that will maximize revenue for the given demand function q = 120 − 3p² is p = 2√10.

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Answer:

\(\frac{35}{18}\) π m

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \(\frac{50}{360}\) ( r is the radius )

     = 2π × 7 × \(\frac{5}{36}\)

     = \(\frac{70}{36}\) π

     = \(\frac{35}{18}\) π

Answer:

See below

Step-by-step explanation:

32.  w + 5 = -20

       w = -20 - 5

       w = - 25

33.  x - 17 = -32

       x = -32 + 17

       x =  - 15

34.  t + 7.2 = 1.65

       t = 1.65 - 7.2

       t = - 5.55

35.  -0.4 = g - 4.9

       g = - 0.4 + 4.9

       g = 4.5

36.  y - 2/5 = 1 3/5

       y = 1  3/5  +   2/5

       y =  1   5/5  or   2

37.  -5 1/6 = 2 1/3 + p

       p =  - 5 1/6  -  2  1/3  convert 1/3 to x/6 for a common denominator

1/3 converts to 2/6

        p =  -5  1/6  -  2  2/6

        p =  - 7   3/6    or   - 7  1/2

38.  You were given that

Simone =  $65.35 + Dan

Simone =  Carly - 37.50

Carly = 127.75

So Simone = 127.75 - 37.50  =  90.25

Simone = 65.35 + Dan   or Dan = Simone - 65.35

Dan = 90.25 - 65.35 = 24.90

Answer:

\({:}\longrightarrow\tt 12t +2 (t-5)=60 \)

\({:}\longrightarrow\tt 12t+2t-10=60 \)

\({:}\longrightarrow\tt 14t-10=60 \)

\({:}\longrightarrow\tt 14t=60+10 \)

\({:}\longrightarrow\tt 14t=70 \)

\({:}\longrightarrow\tt t=\cancel{\dfrac {70}{14}}\)

\({:}\longrightarrow\tt t=5 \)

\(\therefore\sf t=5 \)

Answer:

x= 5t - a

Step-by-step explanation:

6x + a = 5(x+t)

If you expand 5(x+t), you will get 5x + 5t

i.e. 6x + a = 5x + 5t

Add the additive inverse of 5x to both sides (The additive inverse of 5x is -5x)

i.e. 6x + a - 5x = 5x + 5t - 5x

     x + a = 5t

Then, add the additive inverse of "a" to both sides (The additive inverse of a is -a)

i.e. x + a - a = 5t - a

x = 5t - a

Hope this helps!!!

1. The cheese production for 2006 is 7.76 billion.

2. The cheese produced in 2014 is 9.84 billion.

It should be noted that a function is simply used to show the relationship between the variables that are given.

In this situation, there's a 3% growth per year and the function for the cheese production is modelled as:

y = 7.1(1.03)^x

y = cheese production

x = number of years after 2003.

1. Therefore, since 2006 is 3 years after 2003, this will be

y = 7.1(1.03)^x

y = 7.1(1.03)³

y = 7.1 × 1.093

y = 7.76 billion

The production is 7.76 billion.

2. The production in 2014 will be;

y = 7.1(1.03)^x

y = 7.1(1.03)^11

y = 7.1 × 1.385

y = 9.84 billion

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