I'm struggling on finding a step-through for this question, can anyone help? (x+5)(2x+3)-3(x-2)(6x+5)

The total area of the given composite figure is; 84.8 ft²

We are given;

Area of triangle = 5.6 ft²

Thus, area of 2 triangles = 2 * 5.6 = 11.2 ft²

Area of rectangles = 2(3.6 * 2) + 2(2 * 4) + 3(4 * 3.6)

Area of rectangles = 14.4 + 16 + 43.2

Area of rectangles = 73.6 ft²

Total Area of composite figure = 73.6 ft² + 11.2 ft²

Total Area of composite figure = 84.8 ft²

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The expression of time in terms of r is T = 85/9r. If he walked at an average speed of 3 miles per hour. Then the time taken by nick to reach the shopping mall will be 3 hours and 60 minutes.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Nick walked 5 miles to reach his aunt's house.

From there he traveled 8 miles to the shopping mall on a bicycle.

He traveled 80% faster on the bicycle than on foot.

Let r represent his rate of walking in miles per hour. Then the 1.8r will be the rate of cycling in miles per hour.

Then the number of hours nick took to reach the shopping mall in terms of r will be

T = t₁ + t₂

Where t₁ is the time taken to reach his aunt's house and t₂ is the time taken to reach the shopping mall from his aunt's house. Then we have

T = 5 / r + 8 / 1.8r

T = 1/r (5 + 8/1.8)

T = 85/9r

If r is 3 miles per hour, then the time taken by nick to reach the shopping mall will be

T = 85 / (9 x 3)

T = 3.15 hours

T = 3 hours and 9 minutes

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Answer:

y = (x+8)(x+3)

Step-by-step explanation:

If you multiply

(x+8)(x+3),

you get x^2 + 3x + 8x + 24

This simplifies to x^2 + 11x + 24, same as the original question.

The graph of y=x² + 11x + 24 is equivalent to the y=(x+8)(x+3).

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Constants and variables are components of a polynomial.

We have Graph whose equation is

y=x² + 11x + 24

Now, factories the above equation using splitting the middle term

y=x² + 11x + 24

y=x² + 8x + 3x + 24

y = x(x+8) + 3(x+8)

y= (x+3)(x+8)

Thus, the factors are (x + 3)(x+8).

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Answer:

58.0 degrees

Step-by-step explanation:

Let the angle of depression be x.

tan x=104.1/65

x=58.0 degrees

Answer:

the angle of depression is 32°

Step-by-step explanation:

Answer:

angle 1= 59 degree, angle 2= 61 degree and angle 3 = 119 degree

Step-by-step explanation:

because in the figure angle 2 and 61 degree are alternative angle so they are equal

Answer:

just tell me when you find the answer

The exponential equation of the graph is y = 1.59 * 1.26^x

On the graph, we have the following points

(x,y) = (2,1) and (4,4)

An exponential function is represented as;

y = ab^x

So, we have:

ab^1 = 2 and ab^4 = 4

Divide both equations

b^3 = 2

Take the cube root of both sides

b = 1.26

Substitute b = 1.26 in ab^1 = 2

1.26a = 2

Divide both sides by 1.26

a = 1.59

So, we have:

y = ab^x

y = 1.59 * 1.26^x

Hence, the exponential equation of the graph is y = 1.59 * 1.26^x

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In this specific case, the initial term (a) is 5 and the common ratio (r) is -2

Henceforth, after determining what a and r are, we use the formula for the nth term. Which is:

[tex]a_n = a \times r^{n-1} [/tex]

Therefore, the 14th term is :

[tex]\implies 5 \times { (- 2)}^{14 - 1} \\\implies 5 \times {( - 2)}^{13} \\ =\boxed { -40,960} [/tex]

Hope it helps!

Answer:

the probability is 3/4

Step-by-step explanation:

probability = possible outcome/total outcome

Possible outcome= 12-3=9

Total outcome = 12

Probability = 9/12 = 3/4

So the chance of u getting a good apple is 3/4

Answer:

I am sorry if you feel mad but I do not know this question I am very sorry . . . . . . . . . .

The correct numbers to get to the media or mean are 10, 33, 3, and 2.

The media is obtained by organizing the values given and selecting the one that is in the middle; while the mean is obtained by adding all values and dividing the total by the number of values.

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The correct answer for the Function in the diagram is: (B). [tex]\frac{1}{X}[/tex] + [tex]x^{2}[/tex] + 2x - 5

A function can be defined as  a set of outputs that its varying is dependent on the inputs.

In this case the functions given have a designated outputs.

(f+g)(x) = f(x) + g(x)  - because its held by an addition

(f+g)(x) = [tex]\frac{1}{X}[/tex] + [tex]x^{2}[/tex] + 2x - 5

In conclusion, The correct answer for the question in the diagram is: (B). [tex]\frac{1}{X}[/tex] + [tex]x^{2}[/tex] + 2x - 5

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Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

A geometric sequence is a sequence of numbers or functions in which successive member differ by a constant term called the common ratio.

Analysis:

For a, the first term is 3/16, second term is 3/8. if we divide the second term by the first we have 2. If we do same with the third and second we still have 2. so this is a geometric sequence

For d, if we divide 9 by 3 we have 3, if we divide 27 by 9 we have 3. so this is a geometric sequence.
For f, if we make x equal to a nonzero integer, we have first term as -16/9, second term as -64/81 and third term as -256/729. if we divide the second term by the first we have -4/9, if we divide the third by the second we have-4/9.

In conclusion, Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

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Answer:

$102.75

Step-by-step explanation:

Given the following question:

We are given a cost of 75 dollars and are being asked to find the total cost after adding a tip, tax, and disc to the cost. To find this answer we will use the formula to calculate percentages making sure we use 75 as our base for each addition to our total cost.

Formula to calculate percentages:

[tex]\frac{p\times n}{100}[/tex]

First the disc:

[tex]\frac{10\times 75}{100}[/tex]
[tex]10\times75=750[/tex]
[tex]750\div100=7.5[/tex]
[tex]=7.5[/tex]

Next the tax:

[tex]\frac{7\times75}{100}[/tex]
[tex]7\times75=525[/tex]
[tex]525\div100=5.25[/tex]
[tex]=5.25[/tex]

Last but not least the tip:

[tex]\frac{20\times75}{100}[/tex]
[tex]20\times75=1500[/tex]
[tex]1500\div100=15[/tex]
[tex]=15[/tex]

Finally add:

[tex]75+7.50+5.25+15=102.75[/tex]
[tex]=102.75[/tex]

The total cost after adding the disc, tax, and the tip will be "$102.75."

Hope this helps.

If these two numbers F(51) and F(52) are added together. Then the number of results will be 53,316,291,173.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Two large numbers of the Fibonacci are given below.

F(51) = 20,365,011,074 and F(52) = 32,951,280,099.

The sum of the F(51) and F(52) will be

     20, 365, 011, 074

  + 32, 951, 280, 099

      53, 316, 291, 173

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The ratio of the height of shape A to the height of shape C is [tex]\frac{3}{10}[/tex]

Recall that similar figures have the same scale factor squared due to the ratio of its surface area.

Hence,

We would make:

[tex]z^2 = x/y\\z= 2/5[/tex]

Therefore, the ratio of the height of shape A to the height of shape B is = [tex]\frac{hA}{hB} = \frac{2}{5}[/tex]

To find the ratio of the height of shape B to the height of shape C, we would perform a similar operation which is:

[tex]z^3 = 27/64\\z= 3/4[/tex]

The ratio is:

[tex]\frac{hB}{hC} = \frac{3}{4}[/tex]

To find the ratio of the height of shape A to the height of shape C would be:

[tex](\frac{hA}{hB}) (\frac{hB}{hC} )= \frac{hA}{hC}[/tex]

= 6/20

= 3/10

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Answer:Calvin throws 12 sheets of paper up in the air.

He randomly catches one of the sheets as they float down.

Of the 12 sheets of paper, 9 are white and 3 are red.

Probability = Number of favorable outcomes/ total number of outcomes

The probability that Calvin caught a white sheet is = or 75%.

It is likely that this event occurs as above 70% we say that the event is likely and here the probability is 75%.

The probability that Calvin caught a red sheet is = or 25%

This is unlikely to happen. Thus, we can say that it is not likely event.

Answer:

Return the marble he initially drew from the bag

Step-by-step explanation:

A quadrilateral comprises a rectangle, which is a specific kind of quadrilateral.

A conjecture is a conclusion made on the basis of speculation rather than proof.

Rectangle has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.

In the first place, your search for a pattern before making an educated assumption or hypothesis about it. In the introduction, you look for a pattern and then form an educated guess or conjecture about it.

A quadrilateral comprises a rectangle, which is a specific kind of quadrilateral.

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Answer:

300+(300 + 0.23x)

Step-by-step explanation:

I'm not sure what you are asking but this is the only equation I can get

The amount of sugar he will use is 5.22 cups of sugar, and the number of boxes needed to pack the muffins is 13.71 boxes.

This word problem question can be solved as follows:

Amount of sugar he will use = 1  1/7 * 4 4/7 = 1.142857142857143 * 4.0.571428571428571 = 5.22 cups of sugar

Number of boxes needed to pack the muffins for the meeting = 4 4/7 * 3 = 4.0.571428571428571 * 3 = 13.71 boxes

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Answer:

Equation in Slope intercept form :

y = 5x + 4

Answer:

A formula to express this would be:

60 = 32 + 4h

This simplifies down to 7 for h

Answer:

x = 5±2√7

Step-by-step explanation:

This quadratic cannot be factorised via the factorisation method, so we use the quadratic formula :

x = [tex]\frac{-b + \sqrt{b^{2} -4ac} }{2a}[/tex] or x = [tex]\frac{-b - \sqrt{b^{2} -4ac} }{2a}[/tex]

(The reason I did 2 equations is because brainliest does not allow me to do the ± in the equation insert thing )

x = [tex]\frac{-(-10) + \sqrt{-10^{2} -4(1)(-3)} }{2(1)}[/tex] or x = [tex]\frac{-(-10) - \sqrt{-10^{2} -4(1)(-3)} }{2(1)}[/tex]

x = [tex]\frac{10 + \sqrt{100+12} }{2}[/tex] or x= [tex]\frac{10 - \sqrt{100+12} }{2}[/tex]

x = [tex]\frac{10 + {4\sqrt{7}} }{2}[/tex] or x = [tex]\frac{10 - {4\sqrt{7}} }{2}[/tex]

x = [tex]5+2\sqrt{7}[/tex] or x = [tex]5 -2\sqrt{7}[/tex]

Hope this helped and brainliest please

Answer:

64

Step-by-step explanation:

The information can be written as:

Let Alex's number = x

Winnie's number = y

x = 1.75y

x = y + 48

Substitute 1.75y for x:

1.75y = y +48

0.75 y = 48

3/4 y = 48

y = 64

Winnie's favourite number = 64.

Answer:

144 apples 72 pears

Step-by-step explanation:

Apples 120 + 20% = 144

Pears 120 - 40% = 72

Hope This Helped

The equation that represents a nonlinear function is x(y – 5) = 2

Nonlinear functions are functions that do not have a uniform slope.

A linear function is represented as:

y = mx + b

This means that all other forms are nonlinear function.

From the list of given options, x(y – 5) = 2 is a nonlinear function

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The common difference is 8-5 = 3

The first next term is 11 + 3 = 14

The next (second) term  is 14 + 3 = 17

tn = 5 + (n - 1)*3       This is part c

t20 = 5 + (20 - 1)*3

t20 = 5 + 19*3

t20 = 5 + 57

Answer t20 = 62