The table represents a linear function. What is the slope of the function? The graph and choices are attached.

For this case we have:

We locate the given points on the negative axis of the x coordinate

We shadow the region between both points

The shaded region will be the difference or distance between both numbers.

Algebraically, the difference is given by:

[tex]| -13 - (- 4) | = | -9 | = 9\\[/tex]

Answer:

[tex]Distance = 9\\[/tex]

See attached image

The distance between -13 and -4 on a number line is the absolute value of their difference, which is 9 units.

The distance between two points on a number line is the absolute difference between those points. In this case, the points are -13 and -4. To calculate the distance, we subtract these values in such a way that we get a positive result.

So, we subtract -4 from -13, which is the same as adding 4 to 13, i.e.,: -13 - (-4) = -13 + 4 = -9.

However, distance cannot be negative, so we take the absolute value of -9, which is 9. Therefore, the distance between -13 and -4 on the number line is 9 units. None of the options provided seem to correctly represent this result.

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2c ≥ 19

We can treat this inequality like a standard algebraic equation.

Divide both sides by 2.

c ≥ 9.5

Hey there!!

Given :

Sum of two integers = -5 and the product is -36.

Hence,

... x + y = -5

... xy = -36

x + y = -5

... y = -x - 5

xy = -36

...x ( -x - 5 ) = -36

... -x² - 5x = -36

... x² + 5x - 36 = 0

This can't be factored so solve using quadratic equation

x = [-b ±√(b2-4ac)]/2a      a=1, b=5, c = -36

x = [-5±√(52-4(-36))]/2

x = [-5 ±√169]/2

x = (-5 ± 13)/2

x = (-5+13)/2= 8/2 = 4  OR

x = (-5-13)/2 = -18/2 = -9

x = 4, -9

Note here that since x+y=-5

For x=4, y=-9

for x = -9, y = 4

The two numbers are 4, -9

Hope my answer helps!!

The two integers are 4 and -9.

To find the two integers, let's assume that one integer is x and the other integer is y. Since the sum of the two integers is -5, we can write the equation x + y = -5. Similarly, the product of the two integers is -36, so we can write the equation xy = -36.

Now, we can solve these equations simultaneously to find the values of x and y.

From the first equation, we can express x in terms of y as x = -5 - y. Substituting this value into the second equation, we get (-5 - y)y = -36.

Simplifying this equation gives us y^2 + 5y - 36 = 0. Factoring or using the quadratic formula, we find that y = -9 and y = 4.

Substituting these values back into the equation x = -5 - y, we find that x = 4 and x = -9.

Therefore, the two integers are 4 and -9.

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69 divided by 3 is 23

so it would be 21, 23, 25

The cost of 116 training sessions is: $1325.01

This is because you can divide 811 by 71 to get the unit rate, then multiply it by 115 to get your approximate answer listed above.

1. The attendance at the Cleveland arena was 20,311 people.

2. The largest arena can seat 1,800 more people than the smallest arena.

3. The estimated seating capacity difference between the Atlanta and Los Angeles arenas is 1,300.

4. The total attendance for the sold-out games is 37,124 people.

5. The combined capacity of the Cleveland and Boston arenas is 6,186 people greater than the biggest college basketball arena.

1. **Last night's game in Cleveland:**

  The attendance at the Cleveland arena last night was 20,562 - 251 = 20,311 people. This is because the arena was 251 seats short of being filled to its full capacity.

2. **Difference in seating capacities:**

  The difference in seating capacities between the largest (Los Angeles) and smallest (New Orleans) arenas is calculated by subtracting the smaller capacity from the larger one: 20,300 - 18,500 = 1,800. Therefore, the largest arena can accommodate 1,800 more people than the smallest arena.

3. **Estimate of seating capacity difference (Atlanta and Los Angeles):**

  The estimated difference in seating capacities between the Atlanta and Los Angeles arenas can be obtained by rounding the capacities to the nearest hundred, making the calculation easier. The rounded capacities are 20,300 and 19,000, resulting in an estimated difference of 1,300.

4. **Attendance at sold-out games:**

  The total attendance for the sold-out games in Boston and New Orleans is the sum of their individual capacities: 18,624 + 18,500 = 37,124 people.

5. **Combined capacity of Cleveland and Boston vs. biggest college arena:**

  The combined capacity of the Cleveland and Boston arenas is 20,562 + 18,624 = 39,186 people. Since this is greater than the capacity of the biggest college basketball arena (33,000), the combined capacity of the Cleveland and Boston arenas is 6,186 people greater.

In summary, the attendance at the Cleveland arena last night was 20,311 people. The largest arena can seat 1,800 more people than the smallest arena. The estimated seating capacity difference between the Atlanta and Los Angeles arenas is 1,300. The total attendance for the sold-out games in Boston and New Orleans is 37,124 people. The combined capacity of the Cleveland and Boston arenas is 6,186 people greater than the biggest college basketball arena.

The question probable maybe:

Use the table for 1-5.

Basketball Arena Seating Capacities
____________________________
City                     Capacity
____________________________
Cleveland             20562
Boston                  18624
Atlanta                   20300
New Orleans         18500
Los Angeles           18997

_____________________________

1. Last night game at the arena in Cleveland was 251 seats short of being filled to capacity. how many people attended the game?

2. How many more people can be seated in the largest arena than can be seated in the smallest arena?

3. Estimate the difference in the seating capacities of the Atlanta and Los Angeles arenas. Explain how you made your estimate.

4. There are two sold-out basketball games tonight. One is at the arena in Boston, and the other is at the arena in New Orleans. How many people are attending the two games?

5. Write Math > The biggest college basketball arena seats 33,000. Is the combined capacity of the Cleveland and Boston arenas greater than or less than the capacity of the biggest college arena? How much greater or less? Explain.

Answer:

Total number of cards which have to arrange in even rows and Columns=24

 So, Even arrays are

   =6 rows and 4 columns

   =4 rows and 6 columns

  =12 rows and 2 columns

  =2 rows and 12 columns

The two different arrays to show how miles could display his cards will be (2, 12) and (4, 6).

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Miles has 24 baseball cards he wants to display the cards in even rows and columns.

The factor of the number 24 will be

24 = 2 x 2 x 2 x 3

Then the number of the combination will be given below.

Number of combination = 4 {(2, 12), (12, 2), (6, 4), (4, 6)}

The two different arrays to show how miles could display his cards will be (2, 12) and (4, 6).

More about the permutation and the combination link is given below.

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Answer : Because in all experiments there are several factors that can affect the result. Repeating the experiment several times can vary the factors and compensate the measurement errors. Therefore, the average of the results is calculated to find the result that is closest to the set of all the results, being more reliable than a single result of an individual experiment.​

Hope this helps!​​​​​

[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​ ​

m = (-10 + 25)/(-1 + 4) = 15/3 = 5

so

5 = (20 + 10)/(n + 1)

5(n+1) = 30

5n + 5 = 30

5n = 25

n = 5

Answer

n = 5

Answer:

value of n is 5

Third option is correct.

Step-by-step explanation:

Let the equation of the linear function is y = mx + b

From the given table, we have two points (-4,-25) and (-1,-10)

The slope of the line containing these two points is

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-10+25}{-1+4}\\\\m=\frac{15}{3}\\\\m=5[/tex]

Now, put m = 5, x = -4 and y = -25 in the equation y = mx+b

[tex]-25=5\cdot(-4)+b\\\\-25=-20+b\\\\b = -5[/tex]

Therefore, equation of linear function is [tex]y=5x-5[/tex]

Now, put x = n and y =20

[tex]20=5n-5\\\\5n=25\\\\n=5[/tex]

Therefore, the value of n is 5

The smallest would be 14 and then 15 and then 16.

Use the equation 2n=12+n+2. solve for n. Since it's consecutive, the equation would be n+n+1+n+2

he has to earn $78 more.

Answer:

he has to try to earn $78 to get his bicycle that he wants

Answer:

Answer 3 (-6x-2y=12)

Step-by-step explanation: Turn to slope form to check

First- Add the 6x from both sides

-2y=6x+12

Second- Divide by two on both sides

y= -3x-6

Answer:

C.[tex]-6x-2y=12[/tex]

Step-by-step explanation:

We are given that  a graph.

We have to find the equation of given graph.

The line passes through the point (-2,0) and (0,-6).

Slope:m[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]

By using the formula

[tex]m=\frac{-6-0}{0+2}=-3[/tex]

Slope-intercept form:[tex]y=mx+C[/tex]

Where m=Slope of line

C=y-intercept

y-intercept: It is that value of y for which x=0

We have y- intercept=-6

Using the formula

Equation of line

[tex]y=-3x-6[/tex]

[tex]3x+y=-6[/tex]

Multiply by -2 on both sides then we get

[tex]-6x-2y=12[/tex]

The solution is (x,y)=(2,5)

(you can check by plugging 2 for x and 5 for y and both equations will work out)

A. -14x+21

because -7 times 2x is -14x and -7 times -3 is 21

the distance is for it is 0

√(4−4)2+(7−−6)2

√4−4)2+(7+6)2

√0+(13)2

√169

√169≈13

Answer: 18≤n≤38 is absolute value inequality for the problem.

Step-by-step explanation:

Given situation:- Half of a number n is at most 5 units from 14

that means the difference between 14 and half times n is less than 5

[tex]\Rightarrow |14-\frac{1}{2} \times n|\leq 5\\\Rightarrow|2( 14-\frac{1}{2} \times n)|\leq2(5)\\\Rightarrow|2(14)-2(\frac{1}{2} \times n)|\leq2(5)\ \text{(Multiplying 5 on the both sides)}\\\Rightarrow|\ 28-n|\leq10\\\Rightarrow\ 28-n\leq10\ or\ -(28-n)\leq10\\\Rightarrow\ n=28-10=18\ or\ n=28+10=38\\(i.e.)\ 18\leq\ n\leq \ 38[/tex]

⇒18≤n≤38 is absolute value inequality for the problem.

To solve this, write an equation to model the situation and solve the equation.

The equation can be: [tex]3(x-9)=27[/tex]

Then solve the equation.

[tex]3x-27=18[/tex]

[tex]3x=45[/tex]

[tex]x=15[/tex]

Luigi is 15 years old.

we determine that Luigi is 15 years old.

The question involves solving for Luigi's age based on the given relationship between Mario and Luigi's ages. We are told that Mario's age is three times the difference between Luigi's age and the number 9, and that Mario is currently 18 years old. We need to create an equation and solve for Luigi's age.

Let's let L represent Luigi's age. The problem statement tells us:

Mario's age = 3 * (L - 9)

Given that Mario's age is 18, we substitute this value into the equation:

18 = 3 * (L - 9)

To find L, we start by dividing both sides of the equation by 3:

6 = L - 9

Then, we add 9 to both sides to solve for L:

15 = L

Therefore, Luigi is 15 years old.

C=225S+6300

This is because the total cost would be equal to all of the stuff combined. Since it takes 225 to transport 1 ton of sugar, it would be multiplied with s

the answer is -2.7

-7.2+4.5=-2.7

go from -7.2 to the positive side 4.5 numbers

Answer:

120:300 is in the same ratio as 2:5. Can you add the pound sign? My keyboard does not have it.

Step-by-step explanation:

Add the two parts of the ratio together

2 + 5 = 7

Find 5:7

5:7 = x:420  

5/7 = x/420              Cross multiply

7x = 5 * 420             Combine the right

7x = 2100                  Divide by 7

x = 2100/7

x = 300                      

Find the second number

420 - 300 = 120

120 : 300 is the answer

Divide top and bottom by 60

120/60 = 2

300 / 60 = 5

i hope this helps you

THERE

PERFECTION :P

-hope this helps

Perimeter is distance all around the side of the figure, so you would do:

8 + 7 + 19 + 3 + y + x

Plug in y and x that you solved before: 8 + 7 + 19 + 3 + 11 + 4

Add them!: 52

The perimeter is 52 meters.

:)

19 = 5x - 1      Given

19 + 1 = 5x - 1 + 1

20 = 5x    Addition Property of Equality

20 : 5 = 5x : 5

4 = x    Division Property of Equality

The reason for each step in the solution of the equation are; Addition Property of Equality, Division Property of Equality.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

It is Given

19 = 5x - 1      

19 + 1 = 5x - 1 + 1

20 = 5x    (Addition Property of Equality)

20 : 5 = 5x : 5

4 = x   (Division Property of Equality)

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Isolate the x. Note the equal sign. What you do to one side, you do to the other.

First, subtract 2 from both sides

2 (-2) - x = (5/8) - 2

-x = 5/8 - 2

Make sure they have the same denominator. Remember that what you multiply to the denominator, you multiply the numerator:

-x = 5/8 - 16/8

-x  = - 11/8

Isolate the x. Divide -1 from both sides

(-x)/-1 = (-11/8)/-1

x = 11/8

11/8 is your answer for x

~Rise Above the Ordinary

Slope intercept form: y = mx + b

So

-2x + y = 9

Add 2x to both sides

-2x + y + 2x = 9 + 2x

Simplifying

y = 2x + 9

Answer

C.) Y = 2x + 9

answer is C forsure

Think of the tens and the units separately:

16 x 34

= (10 + 6)(30 + 4)

Then we can distribute and get:

10(30 + 4) + 6(30 + 4)

And then further to get:

(10 x 30) + (10 x 4) + (6 x 30) + (6 x 4)

Each of these multiplications is easy enough to do in your head:

300 + 40 + 180 + 24

Add up the results:

300

180

16×34 can be rewritten as (10+6)×(30+4) for simpler multiplication.

The given numerical expression is 16×34.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Here, 16×34 can be written as

Method 1:

(10+6)×(30+4)

Using distributive property we get

10(30+4)+6(30+4)

= 300+40+180+24

= 544

Method 2:

16×(30+4)

Method 3:

(10+6)×34

Therefore, 16×34 can be rewritten as (10+6)×(30+4) for simpler multiplication.

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Look at the picture.

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have:

[tex]b=-4[/tex]

[tex]m=\dfrac{\Delta y}{\Delta x}\to m=\dfrac{+1}{+1}=1[/tex]

Substitute:

[tex]y=1x-4=x-4[/tex]