I really need help with this ?

The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

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Answer:

x-a

Step-by-step explanation:

Mean=sum of data /no of data

=x-3a+x-2a+x-a+x+x+a/5

=5x-5a/5

=5(x-a)/5

=x-a

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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The required solution to the given expression is 3 which is determined by the division operation.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine the evaluation of expression 4 ÷ 4/3

When considering multiplying the fractions together, After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 12/4 However, if you simplify it by 4, your final answer will be 3.

Thus, the required solution to the given expression is 3.

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We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

Step-by-step explanation:

speed = 50 km / hr.

distance = 20 km

time = distance / speed.

time = ( / 50) hr.

speed =  2 km/hrs

Answer:

y = 5

Step-by-step explanation:

We khow that x and y are consecutive integers and that x^2 is greater than y^2 since x^2-y^2=11

● so x is greater than y

● wich means that x = y+1

● x^2-y^2=11

● (y+1)^2-y^2 = 11

● y^2+2y+1-y^2=11

● 2y + 1 = 11

● 2y +1-1 = 11-1

● 2y = 10

●2y/2 = 10/2

● y = 5

By performing the division, the jogging track is 0.45 miles long.

Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.

The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.

To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.

So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.

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Answer:

  336, 504

Step-by-step explanation:

You want the next two numbers in the sequence beginning 6, 24, 60, 120, 210, ....

When attempting to identify a sequence it is often useful to look at the differences between terms, then at the differences of those, and so on. If The differences at some level are constant, that level tells you the degree of the polynomial that will describe the sequence. If they have a common ratio, then the sequence will be based on an exponential function.

1st differences: 18, 36, 60, 90

2nd differences: 18, 24, 30

3rd differences: 6, 6 . . . . . . . . constant, indicating a cubic function

We can go to the trouble to write four equations in the four coefficients of the cubic describing this sequence, or we can let suitable technology find it for us. The attachment shows a graphing calculator solution for the coefficients. The 10^-14 value for the 'd' coefficient is effectively 0. This value is due to the inexact representation of numbers in the floating point arithmetic used by the calculator.

The equation of the n-th term a[n] is ...

  a[n] = n³ +3n² +2n

The next two terms are ...

  a[6] = 336

  a[7] = 540

__

Additional comment

The equations for the coefficients of y = ax³ +bx² +cx +d will use the given sequence values and x values of 1..4. Here they are:

  6 = a·1 +b·1 +c·1 +d

  24 = a·8 +b·4 +c·2 +d

  60 = a·27 +b·9 +c·3 +d

  120 = a·64 +b·16 +c·4 +d

The second attachment shows a calculator solution for these four equations. (a, b, c, d) = (1, 3, 2, 0)

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Answer:

y = 6x -2

Step-by-step explanation:

Answer:

y = 6x - 2

Step-by-step explanation:

pass (1,4)

y = mx + b

b = y - mx = 4 - 6 x 1 = -2

y = 6x - 2

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

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Answer:

RM = 12 cm

Step-by-step explanation:

\(a^{2} + b^{2} = c^{2}\)

Assuming 20 is the hypotenuse cus there is no picture:

\(a^{2} + 16^{2} = 20^{2}\)

\(a^{2} +256 = 400\)

\(a^{2} = 144\)

\(a=144\)

If It's not the hypotenuse:

\(16^{2}+ 20^{2} =c^{2}\)

\(256+400 =c^{2}\)

\(656=c^{2}\)

\(c = 25.61249695\)

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

The actual dimensions of the patio are 20 feet by 16 feet.

The scale factor is 1 inch to 4 feet,

This means that 1 inch on the scale drawing represents 4 feet in reality.

So the dimensions of the scale drawing are:

20 feet x (1/4) = 5 inches (length on scale drawing)

16 feet x (1/4) = 4 inches (width on scale drawing)

The area of the actual patio is:

= 20 feet x  16 feet

= 320 square feet

The area of the scale drawing is:

= 5 inches x 4 inches

= 20 square inches

The ratio of the area of the scaled drawing to the actual area of the patio is: 20 square inches : 320 square feet

To simplify this ratio, we need to convert both values to the same units.

Converting the area of the scale drawing to square feet:

= 20 square inches x  (1/144) square feet/square inch

= 0.1389 square feet

So the ratio of the area of the scaled drawing to the actual area of the patio is:

0.1389 square feet : 320 square feet

Or, in simplified form:

1 : 2306.56

Thus,

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

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\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

i. Costco is more effective at collecting its accounts receivable faster.

ii. The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing.

iii. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

Accounts Receivable Turnover: Year ended in 2022: 10.2 times; Year ended in 2021: 10.1 times.

Number of Days Sales in Accounts Receivable: 2022: 38.6 days; 2021: 39.1 days.

Sam's Club

Accounts Receivable Turnover: Year ended in 2022: 8.6 times; Year ended in 2021: 8.5 times.

Number of Days Sales in Accounts Receivable: 2022: 45.2 days; 2021: 46.2 days.

This could be due to a number of factors, such as the economic environment, changes in customer payment habits, or changes in the way that the companies are managing their receivables.

This could be due to a number of factors, such as the companies' different business models, customer bases, or payment terms.

So, Costco is more effective at collecting its accounts receivable faster.

The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

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The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Answer:

No

Step-by-step explanation:

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

33%

Step-by-step explanation:

The probability that a card is a Jack, given that it is a face card, can be expressed as the conditional probability:

P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator P left parenthesis J a c k space a n d space F a c e right parenthesis over denominator P left parenthesis F a c e right parenthesis end fraction

The probability that a card is both a Jack AND a face card is 4 over 52, as there are only 4 cards in a deck that have both qualities.

The probability of a face card is12 over 52 as there are a total of 12 face cards in a deck of cards.

So the probability of a card being a Jack given that it is a face card is:

P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator begin display style bevelled 4 over 52 end style over denominator begin display style bevelled 12 over 52 end style end fraction equals 4 over 12 equals 0.33 equals 33 percent sign.

Given that,

In a well-shuffled, standard 52 card deck,

We have to determine,

What is the probability that a card is a Queen, given that it is a black card?      

According to the question,

There are 52 card decks,

Let, the card being a jack is A and the card being a face card is B,

\(\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\)

Then,

The probability of the card is a jack and a face card:

\(\rm The \ probability \of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{4}{52}\\\\ The \ probability \ of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{1}{13}\)

All jacks are face cards.

And the probability of there being a face card is,

\(\rm The \ probability \of \ face \ card \ (Conditional \ probability) = \dfrac{12}{52}\\\\ The \ probability \ of \ face \ card \ (Conditional \ probability) = \dfrac{3}{13}\)

There are 12 face cards in a deck.

Therefore,

The probability of a card being a jack given that it is a face card is,

\(\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\\\\\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{\dfrac{1}{13}}{\dfrac{3}{13}}\\\\The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\)

Convert the probability of a card being a jack given that it is a face card into a percentage,

\(\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3} \times 100\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = 33 \ percent\)

Hence, The probability of a card being a jack given that it is a face card is, 33%.

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It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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Answer:

X/4=3/6

Start off by cross multiplying the tops and bottoms, so X/4=3/6 turns into 6X=12. Now divide by 6 on both sides.

6X=12      X=2

Answer:

2

Step-by-step explanation:

Cross Multiple and Divide

X. 3

----. = ----

4. 6

So what you want to do is multiply diagonally:

(6)(X) = 6X

(3)(4) = 12

Now that we have our two answers, we put an equal sign between them.

6X = 12

Now to get X alone. Since it's being multiplied by 6, you want to do the opposite and divide.

So remember to divide on both sides to get rid of the 6.

6X divided by 6 is just X.

12 divided by 6 is 2

We got our answers, put the equal sign in-between

X = 2

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

\( l = 11 + w\)

We know that, the area of rectangle, A = length * width

\( A = l*w\)

Substituting the values into the equation, we have;

\( 80 = (11 + w)w\)

Expanding the bracket, we have;

\( 80 = 11w + w^{2}\)

\( w^{2} + 11w - 80 = 0\)

*Solving the quadratic equation by using factorization method*

\( w^{2} + 16w - 5w - 80 = 0\)

\( w(w + 16) - 5(w + 16) = 0\)

\( (w - 5)(w + 16) = 0 \)

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

\( l = 11 + w\)

When w = 5 feet

\( l = 11 + 5\)

Length, l = 16 feet

When w = - 16 feet

\( l = 11 + (-16)\)

\( l = 11 - 16\)

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

Answer:

2π or 0π are the only points that satisfy the expression, but since the restriction is 0 <= x < 2π

the answer would be 0π

The solution of the equation on the interval [0,2π) is 0.

To find Solution of the equation.

A statement that the values of two mathematical expressions are equal.

The given equation is :

7secx-7=0 on the interval [0,2π)

7secx-7=0

7secx=7

sec x =1

∴ x=0

So, the solution of the equation on the interval [0,2π) is 0.

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Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!