Write the equation for the following relation. P = {(x, y): (1, 0), (2, 4), (3, 8), (4, 12), . . .}

The elevation of the road is 4800 feet.

From the question, we have

y = mx + b

where m is the rate of change, b is the initial value of y and y, x are variables.

Let y represent the elevation of the road after x miles.

After 2 miles, the elevation is 5500 feet above sea level.

5500 = 2m + b   (1)

After 4 miles, the elevation is 6200 feet above sea level.

6200 = 4m + b   (2)

Solving equation 1 and 2, we get

m = 350, b = 4800

The elevation of the road 4800 feet.

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers. The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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The total Area the design is 8 square cm.

Area of rectangular design is product of length and breadth of rectangular design.

In the given question we have,

Rectangular design is made up from 6 squares .

there is 2 small squares surrounded by 4 large squares.

Area of each small square = 1 sq.cm

let the length of rectangular design be l cm

and breadth is b cm.

Area of rectangular design= l×b sq.cm

from the given statement, we can see that side of small square is 1 cm and small squares surrounded by 4 large squares i.e side of large square is sum of side of small squares or 2cm .

Also , length of rectangular design is sum of sides of two large squares and breadth is same as side of one large square.

so, length of rectangular design= 4 cm

breadth of rectangular design= 2cm

Area of rectangular design= 4×2 = 8sq. cm

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Answer: -1/3

Step-by-step explanation:

The formula for slope =y1-y2/x1-x2. You first subtract the numbers for the y coordinate which is -6-(-5), and thats -1. Then you subtract the x coordinates. -6-(-9)=3. So the slope is -1/3

The function's y = 3(x + 5)² +11 width will be narrower.

In mathematics, a function from a set x to a set y assigns each element of x precisely one element of y. The subsets x and y are referenced to as the function's domain and codomain, correspondingly. A relationship between a number of inputs and one output per input is referred to as a function. Simply described, a function is an association between inputs in which each piece of data is connected to exactly one output. There is a domain and a codomain, or range, for every function. A function is a type of rule that produces one output from one input. y = x² is a good illustration of this. Any information for x yields a single output for y.

A parabola is made narrow by a large positive value of a and wide by a large positive value of a that is close to 0.

Compare the given equation y = 3(x + 5)² + 11 with y = x² + c

So, a = 3

Therefore, the function will be narrower.

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The mason should order 250 cubic yards of grit to use all the cement.

It is given that the mixture has 20 cubic yards of grit for 4 cubic yards of cement.

So the unit rate for the number of cubic yards of grit for per unit of cement is given by : 20 ÷ 4 = 5 cubic yards.

Now amount of grit required for 50 cubic yards of cement

= 50 × 5 = 250 cubic yards.

By utilising 1 as the denominator, a unit rate compares two quantities while using the second quantity as the unit of measurement. If someone runs three kilometers in 30 minutes, they have ran one mile.

Miles per minute is a unit of measurement for how far something is moving in a certain amount of time. For unit rate, the quantity value 1 is always used.

Hence he should order about 250 cubic yards in order to use all the cement.

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Considering the volume of the rectangular prism given the dimensions, it is found that:

The volume of a rectangular prism is given by the multiplication of the dimensions of the prism, which are the width w, the height h and the length l, that is:

V = l x w x h.

In this problem, the dimensions are given as follows:

Hence the polynomial expression for the volume of the prism is given as follows:

V = w(w - 5)(w - 3)

V = w(w² - 8w + 15)

V = w³ - 8w² + 15w.

The features of the polynomial function are given as follows:

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Answer:

Neither of them are solutions unless you had a typo in the question.

Step-by-step explanation:

1) plug in the known values into both of the equations

First Coordinate:

y-x[tex]\leq[/tex]-5
(1)-(0)[tex]\leq[/tex]-5
1[tex]\leq[/tex]-5 which is not true.
In this case, we do not need to plug in (0,1) into both of the equations because the coordinate cannot be a solution unless the coordinate works in BOTH of the equations.

Second Coordinate:

1)  y-x[tex]\leq[/tex]-5
(-6)-(-1)[tex]\leq[/tex]-5

(-6)+1[tex]\leq[/tex]-5 -->    It becomes a +1 because two negatives make a positive

-5 [tex]\leq[/tex]-5 - -> which means this is true because -5 is less than or equal to -5

2) y-2x>-5
(-6)-2(-1)>-5

-6(2)>-5
-12>-5 NOT TRUE

ANSWER: Neither of them are solutions unless you had a typo in the question.

Answer:

The graph is a function.

Step-by-step explanation:

The value of y is 11.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given that Parallelogram ABCD is a rectangle.

Consider that AC and BD are opposite sides. In a parallelogram, we know that opposite sides are congruent which means:

AC = BD

2y + 7 = 3y - 4

Solving;

2y - 3y = -4 - 7

-y = -11

y = 11

Hence, the value of y is 11.

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Answer:

686 cm^2

Step-by-step explanation:

4(7)=28

7(7)=49

49 x 28= 1372

1372/2=686

hopes this helps

As function f(x) is not completely right i assume it to be like f(x)= 10x-200.

Acc. to which the answer is  -350.

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X.

Main Body:

f(x)= 10x-200

f(4)= 10*4-200

    = 40-200

    =-160

g(x)= 25[tex]x^{2}[/tex]+90

g(2)= 25*(2)² +90

     = 25*4+90

     =190

So, f(4)-g(2) = -160-190

     = -350

Therefore the answer is -350.

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The require angle, angle ABD = 40 degrees

A bisector has two primary characteristics:

Any point along an angle's bisector is equally - spaced from the angle's sides.

The angle bisector divides the other side of a triangle in proportion to the other two sides.

Given : ∠ ABC is bisected by a ray BD

∠ ABC = 80°

Since the angle ABC is being bisected this means that the angles are equal

Let the bisected angle be x

thus we can write it mathematically as

x + x = 80

2x = 80

dividing both the sides as 2 we would get

x = 40 degrees

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The number of 20 button bags are 2.

Given that, Gassama buys some bags of buttons there are 20 buttons or 21 buttons or 22 buttons or 23 buttons in each bag.

Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.

Here,

Number of 20 buttons = 20×x=20x

Number of 21 buttons = 21×5=105

Number of 22 buttons = 22×3=66

Number of 23 buttons = 23×3=69

Total = 20x+105+66+69

20x+105+66+69=280

⇒ 20x+240=280

⇒ 20x=40

⇒ x=2

Therefore, the number of 20 button bags are 2.

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Answer:

try using the Pythagorean theorem

Step-by-step explanation:

hypotenuse ² = Opposite ² +Adjacent ²

where hypotenuse is the side facing the right angle sign;(x+3)

The proportion of heads after the first 10 tosses of a coin is zero i.e 0/10 = 0

A probability is a number that reflects the likelihood or probability that a particular event will occur. Probabilities can be expressed as percentages ranging from 0 to 1, and can also be expressed as percentages ranging from 0% to 100%. A probability of 0 indicates that the particular event is unlikely to occur, and a probability of 1 indicates that the event will definitely occur.

Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes.

We have given the following points ,

A coin is tossed 10 times and it comes with tail in each time of first 10 tosses.

When a coin is toosed , there two possibilities either it comes with head or tail. Both can't be come at once.

As we see first ten tosses of a coin gives tails as a result . Then, there is no chance of occurrence head in first 10 tosses.

So, there in no heads in first 10 tosses. The probability or proportion of heads after the first 10 tosses is 0/10 = 0..

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#Complete Question:

Probability works not by compensating for imbalances but by overwhelming them. Suppose that the first 10 tosses of a coin give 10 tails and that tosses after that are exactly half heads and half tails. (Exact balance is unlikely, but the example illustrates how the first 10 outcomes are swamped by later outcomes.) (Use decimal notation. Give your answers as exact numbers.) What is the proportion of heads after the first 10 tosses?

Answer:

0,-24,-3/4

You have to substitute the values for x and y to get the other output. When I put 0 into the equations I get back 0

The alternative to random sampling is called as systematic sampling which is accepted by a pollster to poll every 10th person that comes out of a store.

Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).

This method will provide you with a representative sample that can be used to make generalizations about the population if the order of the population is random or random-appearing (for example, alphabetical).

Simple random sampling has numerous advantages over systematic sampling in terms of randomization, but systematic sampling is a little bit simpler to carry out.

Similar to basic random sampling, systematic sampling can be used with a list of the complete population. Contrary to basic random sampling, one can still utilize this technique if you don't have access to a list of the population beforehand.

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Answer:

Option B is perpendicular to y=-3x+4 and goes through point (-1,5)

Step-by-step explanation:

We will look for an equation of the form y=mx+b, where m is the slope and b the y-intercept.  The reference line, y=-3x+4, has a slope of -3.  A line perpendicular to this line will have a slope that is the "negative inverse" of the refence lines slope.  In this case, it's slope would be +(1/3).

We could graph each of the equation options and look for one that is perpendicular, but it might be faster to simply rearrnaged the options into standard format of y=mx+b. which we'll do here:

Option   Rearranged Equation   Slope

A) 3y=-x+16

                  y = -(1/3)x+(16/3)           -(1/3)

B) 3y=x+16

                   y = (1/3)x + (16/3)         (1/3)

C) y=-3x+8                                           -3

D) y=-3x+2                                            -3

There is only one option that has the required slope to be parallel to the reference equation (y=-3x+4), option B:  y = (1/3)x + (16/3)

Does it go through point (-1,5)?

y = (1/3)x + (16/3)

Enter x = -1 and find 5:

y = (1/3)(-1) + (16/3)

y = (16/3)-(1/3)

y = (15/3) or 5

 Yes, it goes through point (-1,5)

Option B is perpendicular to y=-3x+4 and goes through point (-1,5).

The domain of the given function y = 2√(x - 6)

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

This ultimately implies that, a domain is the set of all possible input numerical values or numbers (x-values) to a function and the domain of a graph comprises all the input numerical values which are located on the x-coordinate.

In order to determine the domain of this function, we would equate the x-value to zero and then evaluate as follows:

x - 6 ≥ 0

x ≥ 6

Therefore, the domain of this function in interval notation is [6, ∞] as shown in the graph attached below.

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Complete Question:

What is the domain of the function y = 2√(x - 6)?

0 ≤ x < ∞

6 ≤ x < ∞

Answer:

v = -6

Step-by-step explanation:

½v + 8 = 3 - ⅓v

Collect like terms

½v + ⅓v = 3 - 8

⅚v = -5

Divide both sides by ⅚

⅚v/⅚ = -5/⅚

v = -5 × 6/5

v = -30/5

v = -6

Answer:

12% of men are left handed.

Step-by-step explanation:

Percent of men who are left handed =

325×100=3×4=12 3 25 × 100 = 3 × 4 = .

                  12%

I hope this helps!

Answer:

719.412

Step-by-step explanation:

S(x)=-.228x^2+8.154x-8.3 x=7 feet

Plug in 7 for x, you'll convert to inches at the end

S(x)=.228(7^2) +8.154(7)-8.3

S=49(.228)+8.154(7)-8.3

S=11.173+57.078-8.3

S=59.951

Multiply by 12 to get inches

719.412

(If this answer doesn't work then you probably need to convert to inches before plugging in for x. 7 x 12=84 so plug that in.)

Answer:

See below

Step-by-step explanation:

It is NOT a right triangle or the diagonal would measure 52 feet (instead of 54 feet) ....it is an OBTUSE triangle

The expression (11^(-9))³, as a single power of 11, using the power of power exponential property, is given as follows:

11^(-27).

The power of power exponential property is used when a base is elevated to multiple exponents. Then the number can be written as a single power of the base multiplying the exponents.

The general format of this property is:

(a^b)^c = a^(b x c).

In which the base and the exponents are given as follows:

In this problem, the expression is:

(11^(-9))³

The multiplication of the exponents is:

-9 x 3 = 27.

Hence the expression as a single power of 11 is given as follows:

11^(-27).

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Answer:

4.5 ounces of rice per container

Step-by-step explanation:

27 / 6 = 4.5

Hope this helps :)

Answer:

10t + 20

Step-by-step explanation:

From the figure

A. alternate interior angles:  1

B. same side exterior: 4

C. vertical: 4 and 3

D. same side interior: 3

E. obtuse angle: 1

F. adjacent angle pairs: 1 and 2

G. alternate exterior: 2

H. corresponding: 4

I. complimentary:

parallel lines refer too lines that would never meet. When there is a pair of parallel lines with a transversal line like in the figure some angle theorems come into play  

some of the are used in the in the problem and definition of some them include

adjacent angles refer to angles that are next to each other, such angles are being demarcated by a line to the other angle. in the figure angle 1 and 2 alternate angles

Obtuse angles refers to angles that are more than 90 degrees but less than 90 degrees

vertical angles are angles opposite to each other, formed when two lines meet

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Jodie has left 13.79 seconds to match the record.

What is a linear equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Here, we have

Jodie aimed to beat Mandy's 74.6-second mark on the obstacle course. She had already spent 10.56 seconds on the ropes and fifty-and-a-fourth seconds ascending the wall. To match the record, we must determine how much time she had remaining.

Jodie's total time for climbing the wall is fifty and one fourth seconds=50.25 seconds

The total time on ropes is 10.56 seconds

The total time she spent is 50.25+10.56=60.81

Left time = Record Time-Spent time

= 74.6-60.81 = 13.79

Hence, Jodie has left 13.79 seconds to match the record.

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The value of x and y in the triangle given are 15 and 4 respectively

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle. The equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal.

In the triangle given, we can equate equal sides and find the missing sides on the triangle.

12/18 = y + 12 / 18 + 6

12/18 = y + 12 / 24

2/3 = y + 12 / 24

solve for y

y = 4

Taking another side and solve for x

12 / x = 12 + y / x + 5

but y = 4

12 /x = 12 + 4 / x + 5

12/x = 16 / x + 5

x = 15

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Answer:

5

Step-by-step explanation:

The only way I know how to go about this is to multiply 2 until it becomes 32

2x2=4

4x2=8

8x2=16

16x2=32

Now just count how many 2 I used and I used 5 so the missing exponent is 5

Hopes this helps please mark brainliest