Write an equation in standard form for the line that passes through the given points
(5, -3) and (5,6)

The given set have two integers whose sum is 15 because if we selcet the element from the given set then there sum is equal to 15.

In the given question, let s = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. suppose six integers are chosen from s.

We have to check there be two integers whose sum is 15.

As we know that,

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The letter Z or the chalkboard Z is frequently used to represent the set of integers in mathematical terminology.

There are total 10 elements.

We have to choose two element from the given set which sum is equal to 15.

If we choose 3 and 12 then there sum is 15.

Similarly, if select (5,10), (6,9), (7,8) the sum of all these selection is 15.

So the given set have two integers whose sum is 15.

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Answer:

These should be right hopefully! Hope it helps!

Answer:

300 widgets

Step-by-step explanation:

Each time the widgets sold goes up by 100, the profits goes up by 400. This shows a ratio/slope of 4 if we were to graph this. To find out when they break even you need to subtract $400 from the first row to get to zero and the equivalent amount of widgets. If each widget is $4 then subtract 100 from 400 to get 300 widgets

well, we know the table has linear relationship, so let's use it to get the Profit function then, to get the equation of any straight line, we simply need two points off of it, so let's use those two points in the picture below.

\((\stackrel{x_1}{500}~,~\stackrel{y_1}{800})\qquad (\stackrel{x_2}{700}~,~\stackrel{y_2}{1600}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1600}-\stackrel{y1}{800}}}{\underset{run} {\underset{x_2}{700}-\underset{x_1}{500}}} \implies \cfrac{1600 -800}{700 -500} \implies \cfrac{ 800 }{ 200 }\implies 4\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{800}=\stackrel{m}{4}(x-\stackrel{x_1}{500}) \\\\\\ y-800=4x-2000\implies y=4x-1200\)

how many bucks will they lose by selling "0" items?

well, let's find out by setting x = 0.

\(\stackrel{profit}{y}=4(0)-1200\implies y=-1200~\hfill \stackrel{\textit{they'd be losing}}{\text{\LARGE 1200}}\)

how many will they need to sell to break-even?

well, to break-even that means no loses, no profits but no loses either, so-called breaking-even, you simply sell enough to cover costs, at that point the profit = y = 0, so

\(\stackrel{profit}{0}=4x-1200\implies 1200=4x\implies \cfrac{1200}{4}=x\implies \text{\LARGE 300}=x\)

The roots of the parabola are given as follows:

x = -2 and x = -4.

The quadratic function for this problem is defined as follows:

y = x² + 6x + 8.

Completing the squares, the quadratic function can be factored as follows:

y = (x + 4)(x + 2).

As:

Then the roots are obtained as follows:

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Answer:

3 or 5

Step-by-step explanation:

The amount each friend should pay is $21.54

From the question, we have the following parameters that can be used in our computation:

Cost = 89.75

Tip = 20%

The amount to be paid by each friend is calculated as

Unit cost = Cost * (1 + Tip)/5

Substitute the known values in the above equation, so, we have the following representation

Unit cost = 89.75 * (1 + 20%)/5

Evaluate

Unit cost = 21.54

Hence, the amount is 21.54

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35*75 is

2625

2625/400 is

6.5625

Since you cannot have a decimal amount of a bag, you should purchase

(rounding)

7 bags of fertilizer

Answer:

7 bags

Step-by-step explanation:

First thing you need to do is figure out the area of the garden. Area=length×width, so just put in your numbers, 35×75=2625 square feet. One bag covers 400 feet, so you divide the area by 400, 2625÷400=6.5625. You can't buys 6.5625 bags of fertilizer, so you have to go up to the next whole number which is 7.

Step-by-step explanation:

P(-1,1), Q(2,3), R(2,1)

Let P(-1,1)be x1and y1

Q(2,3)be x2 and y2

therefore, by distance formula

d(PQ)= root (x2-x1)^2+(y2-y1)^2

= root[ 2-(-1)] + (3-1)

=root (2+1)^2+2^2

= root (3square +2square )

= root 9+4

d( PQ) = root 13.........(1)

Now find distance QR and PR then prove that the three sides are not equal and therefore it is a scalene triangle

2nd also do the same.

Answer: 5.46 packets of sod

Step-by-step explanation:

First you need to find the area of the feild, which is 273, and then divide 273 ÷ 50 and then you will get your answer

Answer:

The weight of the silver in the bar is approximately 6.3 ounces.

Step-by-step explanation:

To find the weight of the silver in the bar, you can multiply the total weight of the bar by the proportion of the bar that is silver. Since the proportion of silver in the bar is 84%, you can express this as a decimal by dividing 84 by 100: 84/100 = 0.84.

Then, you can multiply the total weight of the bar by this decimal to find the weight of the silver:

Weight of silver = total weight of bar * proportion of silver

= 7.5 ounces * 0.84

= 6.3 ounces

The match can be scheduled in 900 different ways.

Here, the number of players from each school = 3.

Let us assue that the players of the first school be A, B, and C.

And the players of the second school be X, Y, and Z.

Here, each player from the first school has to play twice with each player from the second school.

We can organize the schedule into six different rounds, i.e.,

R1 : AX BY CZ

R2 : AX BZ CY

R3 : AY BX CZ

R4 : AY BZ CX

R5 : AZ BX CY

R6 : AZ BY CX

So, the number of possible ways to do this would be : 6! = 720 ways.

Now, three rounds are played simultaneously in each round.

R1 : AX BZ CY

R2 : AX BZ CY

R3 : AY BX CZ

R4 : AY BX CZ

R5 : AZ BY CX

R6 : AZ BY CX

And R1 : AX BY CZ

R2 : AX BY CZ

R3 : AY BZ CX

R4 : AY BZ CX

R5 : AZ BX CY

R6 : AZ BX CY

The total number of possible ways for the second case would be twice of  6! / (2! 2! 2!), which is equal to 90+ 90 = 180.

Therefore, the total number of ways in which the match can be scheduled is 720 + 180 = 900.

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The complete question is:

central high school is competing against northern high school in a backgammon match. each school has three players, and the contest rules require that each player play two games against each of the other school's players. the match takes place in six rounds, with three games played simultaneously in each round. in how many different ways can the match be scheduled?

Based on the above, The density of the cylinder is 6.65 cubic unit.

The density of an object is seen as the ratio of a given mass to volume of that same object.

Note that:

Density = mass (kg) / volume (m³)

The unit of density = kilogram per meter cube (kg/m³).

Hence, Volume of the cylinder calculated as;

V = Ah

Note also that;

A = the surface area

h = the thickness

V = (πd²/4)h

So solving for the above;

V = (π x 2.3²/4) x 1.6

V = 6.65 cubic unit.

Therefore, Based on the above, The density of the cylinder is 6.65 cubic unit.

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The equation in the slope-intercept form is:

y = 8 + (3/2)x

Herewe have the linear equation:

3x - 2y = -16

And we want to write it in the slope-intercept form.

To do that, we need to isolate the variable y.

We will get:

3x - 2y = - 16

-2y = -16 - 3x

y = (-16/-2) + (-3/-2)x

y = 8 + (3/2)x

That is the equation written in the slope-intercept form.

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Answer:

The graph is decreasing in a non linear form, this is shown because from the 0 value to the 12 value on the x axis the y value decreases from 4000 to less than 400( graph going downwards) and its non linear because the graph does not form a straight line

The amount that the owners will pay every 30 days is $6.98.

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Complete statement : Two events are said to be mutually exclusive if they can not occur at the same time. Two events are said to be Independent  if the occurrence of one does not influence the probability of occurrence for the other.

What are Independent events?

Independent events are events for which the occurrence (or non-occurrence) of one event does not affect the probability of the other event occurring.

Two events are said to be mutually exclusive (or disjoint) if they cannot occur at the same time. In other words, if one event occurs, the other event cannot occur simultaneously.

For example, if we toss a coin, the events "getting a heads" and "getting a tails" are mutually exclusive. If we get a heads, we cannot get a tails at the same time.

Two events are said to be independent if the occurrence of one event does not influence the probability of occurrence of the other event. In other words, the probability of both events occurring together is equal to the product of their individual probabilities.

For example, if we roll a dice twice, the events "getting a 2 on the first roll" and "getting a 4 on the second roll" are independent. The probability of getting a 2 on the first roll is 1/6, and the probability of getting a 4 on the second roll is also 1/6. The probability of getting a 2 on the first roll and a 4 on the second roll is (1/6) x (1/6) = 1/36.

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Answer:what’s the lowest value?

what’s the highest value?

there is your range

Step-by-step explanation:

The measure angle EBF is (5b-24)°.

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

Give that, m∠ABF =(7b-24)° and m∠ABE =2b°.

From the figure,

m∠ABF =m∠ABE + m∠EBF

(7b-24)°=2b° + m∠EBF

m∠EBF = 7b-24-2b

m∠EBF = (5b-24)°

Therefore, the measure angle EBF is (5b-24)°.

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If the two circle centered at P and Q with radius 10 and 8 respectively , and if the common external tangent intersects line PQ at R , then the length of QR is 72  .

The radius of the circle that is centered at P is = 10 ;

the radius of circle that is centered at Q is = 8 ;

the common external tangent intersects the line PQ at R ,

Let XYR be external tangent with X on the Circle with center P , and at point Y on circle with center Q .

we extend , the line PQ to point R ,

we get , that triangle XPR is similar to triangle YQR ,

it means that , \(\frac{RQ}{RP} =\frac{QY}{PX}\) ;

let the length of RQ be = x , then

length of RP will be = \(x+18\)  ;

we get ; \(\frac{x}{x+18} =\frac{8}{10}\) ;

⇒ \(10x=8x+144\) ;

⇒ \(2x=144\) ;

⇒ \(x=72\) .

Therefore , the length of QR is 72 .

The given question is incomplete , the complete question is

A circle centered at P with radius 10 and a circle centered at Q with radius 8 are externally tangent. A common external tangent intersects line PQ at R. Find QR .

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Answer:

I don't see your questions.

Egypt. Africa. America

Answer:

I did this test a while ago I chose A and it was right I beleieve.

Step-by-step :

Answer:

B.

Step-by-step explanation:

a + 6 = 22 - 7

a + 6 = 15

a + 6 - 6 = 15 - 6

a = 9

Step-by-step explanation:

Given that:

2(x + 3) = x - 4

Multiply the number outside of the brackets with numbers in the bracket on LHS.

⇛2x + 6 = x - 4

Shift all variables on LHS and constant on RHS, changing it's sign.

⇛2x - x = -4 -6

Subtract the number on LHS and RHS.

x = -10

Therefore, x = -10

Please let me know if you have any other questions.

A recursive formula for the explicit formula include the following: B. A(n) = A(n - 1) - 6; A(1) = 8.

In Mathematics, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the first term of this arithmetic sequence as follows;

A(n) = 8 + (n − 1)(-6)

A(1) = 8 + (1 − 1)(-6)

A(1) = 8 + (0)(-6)

A(1) = 8

Therefore, the recursive formula based on this explicit formula A(n) = 8 + (n − 1)(-6) is given by;

A(n) = 8 + (n − 1)(-6)

A(n) = A(n − 1) - 6

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A mathematical expression is neither true nor false; it is evaluated rather than being assigned a truth value.

A mathematical expression, by itself, is not considered true or false because it does not make a specific claim or statement. An expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division. It represents a computation or evaluation, but it does not assert any truth value.

For example, the expression "2 + 3" is simply a calculation that evaluates to the value 5. It does not make a claim or statement that can be determined as true or false. Similarly, expressions like "\(x^2 + 4\)" or "sin(θ) + cos(θ)" represent mathematical computations but do not have a truth value.

To determine the truth value of a mathematical statement, you need an equation or inequality that makes a specific claim or relationship between mathematical expressions. For instance, the equation "2 + 3 = 5" is a mathematical statement that can be determined as true, while the inequality "x > 5" depends on the value of x and can be evaluated as true or false.

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Answer:

1.1l +0.4+0.3+0.5

answer = 2litres 3milimetres

The required approximation of the number of CD's represented by the shaded sector of the circle is 850.

A circle is a shut two-layered figure wherein the arrangement of the relative multitude of center in the plane is equidistant from a given point called "focus". Each line that goes through the circle frames the line of reflection evenness. Additionally, it has rotational balance around the middle for each point.

We have,

The entire circle represents a total of 2875 CD's sold

So, we can say that shaded part is slightly more than the one-fourth of total part of the circle.

So,

2875/4 = 718 +

Thus, approx 850 CD's are sold.

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The statements that are true are:

The graph is decreasing when x is between 0 and 4.

The graph is decreasing when x is less than 0.

Options B and E are the correct answers.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the given graph, we see that,

The graph is decreasing when x < 0.

The graph is decreasing between 0 ≤ x ≤ 4.

The graph is increasing from x = 4.

Thus,

The graph is decreasing when x is between 0 and 4.

The graph is decreasing when x is less than 0.

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