in a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that group of answer choices the estimated mean of y is 2 when x1 equals zero. the estimated mean of y increases by 2 units for each increase of 1 unit of x1, holding x2 constant. the relationship between x1 and y is significant. the estimated mean of y increases by 2 units for each increase of 1 unit of x1, without regard to x2.

Because it only considers the worst possible outcomes, the maximin decision criterion has the least downside risk.

Wald's maximin model is a non-probabilistic decision-making model in game theory and decision theory.

It says that while choosing a course of action, the decision-maker should choose the one whose greatest (highest) loss is better than the least (minimum) loss of all other options that are feasible under the current conditions. The approach that maximizes one's own lowest payout is referred to as "maximin" in non-zero-sum games.

When given a choice between numerous options, the maximin approach instructs managers to consider each option's worst-case outcome. This presupposes that each choice has a number of possible outcomes.

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A Treaty is important because it settled downs the global issues with diplomatic approach.

A treaty is an agreement between two countries with the set of rules defining the responsibilities and obligations for the countries.

Some issues which are not only important for the country but also for the issues which need attention globally.  

A Treaty can be made for any purpose. It is stabilizes the relationship between two countries in a diplomatic manner without the unnecessary loss of resources and valuable human life.

A Treaty is a long term solution for the problems.

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The correct value of the moment of inertia is 128.

Let us consider the shaded area as rectangle 1 of 16 x 16 in minus the rectangle 2 of 12 x 4

Area of rectangle 1 = A₁ = 16 x 16

                                  A₁ = 96

Area of rectangle 2 = A₂ = 12 x 4

                                   A₂ = 48

y- coordinate of the centroid

y = [A₁*(6/2) - A₂*(2+2)] / (A₁-A₂)

y = [(96*3)-(48*4)] / 48

y = 2 in

Moment of inertia of 1 about x-axis

Iₓ = [{16*(6)²} / 12] + [A₁(3-2)²]

Iₓ = 384

Moment of inertia of 2 about x-axis

Iₓ' = [12(4)²/12] + A₂[2+(4/2)-2]²

Iₓ' = 256

Moment of inertia of the entire shaded area

Iₐ = Iₓ - Iₓ'

Iₐ = 384 - 256

Iₐ = 128

Therefore the moment of inertia of the cross sectional area with respect to x-axis is 128.

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The number of many managers were in the meeting is

information from the problem

At a company meeting, there were 30 people in attendance.

60% of them were managers

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

60%

= 60 percent

= 60 / 100

= 0.6

The factor 0.6 of the total number of people in attendance are managers

0.6 * 30 = 18

The number of managers  is 18

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The four types of representation of linear functions are graphs, tables , equations or verbal descriptions.

A linear function is of the mathematical form y = ax + b. This function can be represented in various ways.

The four types of linear function representations are:

       Example: a linear function is of the form: y = mx+c

        The variable y is twice the value of variable x (y = 2x)

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By using Unitary method, it can be calculated that

[tex]1 \times 10^7[/tex] atoms of carbon is contained in [tex]2.53 \times 10^{-17}[/tex] g of camphor

What is Unitary Method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here, Unitary method will be used

Formula for Camphor = [tex]C_{10}H_{16}O[/tex]

Gram Molecular mass = [tex]12 \times 10 + 16 \times 1 + 16[/tex] = 152g

[tex]10 \times 6 \times 10^{23}[/tex] atoms of carbon is contained in 152 g of camphor

1 atoms of carbon is contained in [tex]\frac{152}{6 .023 \times 10^{24}}[/tex] g of camphor

[tex]1 \times 10^{7}[/tex] atoms of carbon is contained in [tex]\frac{152 \times 1 \times 10^7}{6 .023 \times 10^{24}}[/tex] g of camphor

[tex]1 \times 10^7[/tex] atoms of carbon is contained in [tex]\frac{152 \times 1 \times 10^7}{6 .023 \times 10^{24}}[/tex] g of camphor

[tex]1 \times 10^7[/tex] atoms of carbon is contained in [tex]2.53 \times 10^{-17}[/tex] g of camphor

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According to the 2010 u. S. Census, there are approximately 8 million people living in Virginia.  Hence ,the population of Nevada is 2.7 million.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

For example, we might have an equation like 4 + 1 = 2 + 3. This is an addition equation that has already been solved because both sides equal the same thing. 4 + 1 is equal to 5, and so is 2 + 3. This is called a balanced addition equation.

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

According to the question ,the first step is to add 2.8 on both sides , then second step is to divide by 4 on both sides. And thus The population of Nevada is 2.7 million.

Given:

The population of Virginia is 8 million.

Let x be the population of Nevada

It is also given that the population of Virginia is 2.8 million less than 4 times the population of Nevada.

So,

4x - 2.8 = 8

Add 2.8 on both sides ,

4x - 2.8 +2.8 = 8 + 2.8

⇒ 4x = 10.8

Divide both sides by 2.8

⇒ x = 10.8/4

⇒ x = 2.7

Hence ,the streps involved are :

Hence, The first step is to add 2.8 on both sides add 2.8The second step is to divide by 4 on both sides.

The population of Nevada is 2.7 million.

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Answer: A, D, B

Step-by-step explanation:

The first step is to

✔ add 2.8

on both sides.

The second step is to

✔ divide by 4

on both sides.

The population of Nevada is

✔ 2.7

million.

Have a nice day

Answer:So for an isosceles right triangle with side length a , the hypotenuse has a length of a√2 . Similarly, if the hypotenuse of an isosceles right triangle has length of a , the legs have a length of a√2ora√22 each

Step-by-step explanation:

An isosceles triangle is a special triangle due to the values of its angles. These triangles are referred to as triangles and their side lengths follow a specific pattern that states that one can calculate the length of the legs of an isoceles triangle by dividing the length of the hypotenuse by the square root of 2.

FOR EXAMPLE What is the length of the legs of an isosceles right triangle if the hypotenuse is 8 units?

2 Answers By Expert Tutors. For an isoceles right trangle, the legs each have length x and the hypotenuse has length x √2. Therefore, since the hypotenuse has length 8√2, the legs must each be of length 8.

Answer:

Step-by-step explanation:

y = (2x^2-2x+3x-3)(x-4)

y = (2x^2+x-3)(x-4)

y = 2x^3+x^2-3x-8x^2-4x+12

y = 2x^3-7x^2-7x+ 12

a : 2x^3

b : 2

c : 3

d

lim x-> +oo x^3(2-7/x-7/x^2 + 12/x^3)

lim x-> +oo  +oo(2-7/oo - 7/oo + 12/oo)

lim x->+oo   +oo(2-0-0+0)

lim x->+oo    +oo

lim x-> -oo x^3(2-7/x-7/x^2 + 12/x^3)

lim x-> -oo  -oo(2-7/-oo - 7/-oo + 12/-oo)

lim x-> -oo   -oo(2-0-0+0)

lim x-> -oo    -oo

e

y = 2x^3-7x^2-7x+ 12

y’ = [2(x+h)^3 - 7(x+h)^2 - 7(x+h) + 12 - 2x^3 +7x^2 + 7x - 12]/h

y’ = [2(x^3+h^3+3x^2h+3h^2x) -7(x^2+h^2+2xh)-7x-7h-2x^3+7x^2+7x]/h

y’ = [2x^3+2h^3+6x^2h+6h^2x-7x^2-7h^2-14xh-7h-2x^3+7x^2]/h

y’ = [2h^3+6x^2h+6h^2x-7h^2-14xh-7h]/h

y’ = h (2h^2 + 6x^2 + 6hx - 7h - 14x - 7)/h

y’ = 2h^2 + 6x^2 + 6hx - 7h - 14x - 7

lim h->0  (6x^2 - 14x - 7)

y’ = 6x^2 - 14x - 7

y’’ = [6(x+h)^2 - 14(x+h) - 7 - 6x^2 + 14x + 7]/h

y’’ = [6(x^2+h^2+2xh) -14x-14h -6x^2+14x]/h

y’’ = [6x^2+6h^2+12xh-14h-6x^2]/h

y” = h(6h+12x-14)/h

y” = 6h + 12x - 14

lim h->0 (12x-14)

y” = 12x -14

12x - 14 = 0

6x - 7 = 0

x = 7/6

(2 *7/6+3)(7/6-1)(7/6-4)

(7/3 + 3) ( 1/6) (-17/6)

(16/3)(-17/36)

4/3 * -17/9

-68/27

turning point (7/6 ; -68/27)

f

(2x + 3)(x - 1)(x - 4) = 0

x = -3/2

x = 1

x = 4

A( -3/2,0)

B (1,0)

C (4,0)

g

y= 12

D (0, 12)

Answer:

a.  2x³

b.  2

c.  3

d.  As x → -∞, f(x) → -∞.   As x → ∞, f(x) → ∞.

e.  (-0.4, 13.6) and (2.8, -18.6).

f.  (-1.5, 0),  (1, 0),  (4, 0)

g.  (0, 12)

h.  See attachment.

Step-by-step explanation:

Given polynomial:

[tex]y=(2x+3)(x-1)(x-4)[/tex]

Leading term and Leading coefficient

The given polynomial is in factored form.

To find the leading term and the leading coefficient, simply multiply the variable terms of the factors:

[tex]\implies 2x \cdot x \cdot x = 2x^3[/tex]

Therefore:

Degree of the polynomial

The degree of the polynomial is the exponent of the leading term.

Therefore, the degree of the given polynomial is 3.

End behaviour

As the degree of the polynomial is odd and the leading coefficient is positive, the end behaviour of the function is:

Turning points

The x-values of the turning points are when the derivative of the function equals zero.

Expand the polynomial:

[tex]\implies y=(2x+3)(x-1)(x-4)[/tex]

[tex]\implies y=(2x+3)(x^2-5x+4)[/tex]

[tex]\implies y=2x^3-10x^2+8x+3x^2-15x+12[/tex]

[tex]\implies y=2x^3-7x^2-7x+12[/tex]

Differentiate:

[tex]\implies \dfrac{\text{d}y}{\text{d}x}=6x^2-14x-7[/tex]

Set it to zero and solve for x:

[tex]\implies 6x^2-14x-7=0[/tex]

Solve using the quadratic formula:

[tex]\implies x=\dfrac{-(-14) \pm \sqrt{(-14)^2-4(6)(-7)}}{2(6)}[/tex]

[tex]\implies x=\dfrac{14 \pm \sqrt{364}}{12}[/tex]

[tex]\implies x=\dfrac{14 \pm 2\sqrt{91}}{12}[/tex]

[tex]\implies x=\dfrac{7\pm \sqrt{91}}{6}[/tex]

[tex]\implies x \approx-0.4, \;2.8\; \; \sf (1\;d.p.)[/tex]

Substitute the found values of x into the original polynomial to find the y-values of the turning points:

[tex]x=\dfrac{7- \sqrt{91}}{6}\implies y=13.6\; \; \sf (1\;d.p.)[/tex]

[tex]x=\dfrac{7+ \sqrt{91}}{6}\implies y=-18.6\; \; \sf (1\;d.p.)[/tex]

Therefore, the turning points of the polynomial (to the nearest tenth) are:

x-intercepts

The x-intercepts are when the function equals zero.

As the function is already in factored form, simply equal each of the factors to zero and solve for x:

[tex]\implies (2x+3)=0 \implies x=-1.5[/tex]

[tex]\implies (x-1)=0 \implies x=1[/tex]

[tex]\implies (x-4)=0 \implies x=4[/tex]

Therefore, the x-intercepts are:

y-intercept

The y-intercept when x = 0:

[tex]\implies y=(2(0)+3)(0-1)(0-4)[/tex]

[tex]\implies y=3 \cdot -1 \cdot -4[/tex]

[tex]\implies y=12[/tex]

Therefore, the y-intercept is:

Sketch the graph

To sketch the graph:

The probabilities of random survey of students are

Total number of engineering majors = 34

Total number of business majors = 24

Total number of science majors = 22

Total number of liberal arts majors = 16

Total number of students = 34 + 24 + 22 + 16

= 96 students

The probability = Number of favorable outcomes / Total number of outcomes

The probability of engineering majors = 34 / 96

= 17/48

The probability of business majors = 24 / 96

= 1/4

The probability of science majors = 22/96

= 11/48

The probability of liberal arts majors = 16/96

= 1/6

Hence, the probabilities are

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Answer:

sqrt9 and sqrt16

Step-by-step explanation:

Since you're trying to find the sqrt10, find a perfect square less than 10 and another perfect square greater than 10.

sqrt9 is 3. And sqrt16 is 4. So the estimate of sqrt10 is much closer to sqrt9.

sqrt10 ~= 3.2

The velocity v=15 m/s that is equal to the speed of a car on a local street. So the option 2 is correct.

In the given question we have to find the velocity of light in this gas is closest to which of these.

A researcher has created a Bose-Einstein condensate in which the index of refraction is 20,000,000.

The given options are;

Refractive index of B-E condensate(n) = 20,000,000 = 2×10^7

n = c/v

v=c/n

where v = speed of light in B-E condensate

As we know that c=3×10^8 m/s

So v=3×10^8/2×10^7

v=30×10^7/2×10^7

v=15 m/s

This is the velocity equal to the speed of a car on a local street.

So the option 2 is correct.

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If the scale factor is greater than 1, the image is larger than the preimage

A transformation called dilatation alters a figure's size without altering its shape. A figure might become bigger or smaller due to dilation. The initial figure in dilatation is referred to as the preimage. The image is an enlarged figure. The center of dilatation is a fixed location from which figures are distorted.

The scale factor specifies how much smaller or larger the picture will be when you dilate a figure.

• The picture is smaller than the preimage when the scaling factor is between 0 and 1. Reductions are referred to as dilations with scale factors between 0 and 1.

• The picture is larger than the preimage if the scale factor is greater than 1. Enlargements are defined as a dilation with a scale factor greater than 1. The prime sign, ', can be used to identify each new point in a dilated figure. For instance, point ', which stands for "prime," would be the dilated image of point.

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The time Fireman Fred spends running in 4 weeks, found from the average time it takes him to run 1 kilometer is 6.6 hours.

An average is the ratio of the sum of a set of values to the number of values in the set.

The distance Fireman Fred runs 4 morning in a week = 3 kilometers

The time it takes to run a kilometer = 8 minutes and 15 seconds

15 seconds = 0.25 minutes, therefore;

The time it takes to run a kilometer = 8.25 minutes

The time Fireman Fred spends running in 4 weeks is found as follows;

The distance Fireman Fred runs in a week = 3 × 4 kilometers = 12 kilometers per week

The total distance he runs in 4 weeks, D, is obtained using the equation;

D = 4 weeks × 12 kilometers per week = 48 kilometers

The total time = Time per kilometer × Number of Kilometers

The total time = 8.25 minutes/kilometer × 48 kilometers = 396 minutes

There are 60 minutes in one hour, therefore;

396 minutes = 396 minutes × (1/60) hour/minutes = 6.6 hours

The time Fireman Fred spends running over 4 weeks is 6.6 hours

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Answer:

Slope of line e is 2/3

Step-by-step explanation:

you know that equation for line d is y= 2/3x+3. because that line e is parallel to line d, it means that line e and d will never intersect which can only happen if both lines have the same slope. so that means line e's slope is 2/3

Answer:

2/3

Step-by-step explanation:

when a line is parallel to another line we say that the slopes are equal hence the slope of line e is 2/3.

NOTE: if a line is perpendicular to another the slope of line B the line is the negative reciprocal of the slope of Line A

for instance: if the slope was 2/3 the slope of the perpendicular line is -3/2

hope this helps.

The 10 yearly payments worth is $ 7299806.

The current value of a future sum of money or stream of cash flows at a certain rate of return is known as present value (PV). A discount rate or the interest rate that could be earned if invested is added to the future value for present value.

it is given that

PMT =$ 900000

Rate = 4%

years = 10

using the formula

PV = [tex]A * \frac{1 - \frac{1}{(1+R)^{N} } }{R}[/tex]

PV = (900000/0.04) × (1 - (1/ (1+0.04)^10))

PV = $ 7299806

the payment you receive today is $7299806

so, it is better to accept 10 annual payments as it has a higher value.

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If a between-subjects experiment produces 50 scores in treatment 1 and 50 scores in treatment 2, then the experiment must have employed 100 participants.

Why do between-subjects experimental designs employ random assignment?

Because it ensures that there are no systematic differences between the participants in each group, random assignment improves the study's internal validity. You can draw the conclusion from this that the independent variable is to blame for the results.

What is the metric that denotes the degree to which all scores typically differ from the mean?

Because it is reported in the original units of measurement and takes into account all of the scores in the data set, the standard deviation is the most widely used measure of variability. It reveals the average (or standard) distance that separates each score from the distribution's mean.

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Full Question = If a between-subjects experiment produces 50 scores in treatment 1 and 50 scores in treatment 2, then the experiment must have employed ____.​

a. 100 participants

b. 25 participants

c. 50 participants

d. 200 participants​

The parent of a function is the simplest form of a group of functions.

Parent functions are the simplest form of a given family of functions. A family of functions is a group of functions that share the same highest degree and the same shape for their graphs.

The graph shows four graphs that exhibit the parabola. Since they all share the same highest degree of two and the same shape, we can group them as one family of function.

These four are all quadratic functions, and their simplest form would be[tex]y = x^2[/tex].

Hence, the parent function for this family is [tex]y = x^2[/tex]

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Answer:

x = 10

Step-by-step explanation:

[tex]\frac{x-4}{4}[/tex] = [tex]\frac{15}{x}[/tex]  ( x > 0 )

x(x - 4) = 15(4)

x² - 4x - 60 = 0

( x + 6 )( x - 10 ) = 0

x = 10

There is sufficient evidence to conclude that the average number of hours women work each week is more than 80 hours

The hypothesIs are

Ha : μ>80

Given the sample size n=68 and sample mean X 83 , sample standard deviation s=10

The test statistic is

t = x~ - 80/s/√n

t= 83-80/10/√68

t- 2.4738634

The P-value of the test is

P-value P(T> 2.4738634)

P-value 0.0080

When  α=0.05,

Reject the null hypothesis since P-value 0.0080 a 0.05

i) The -a) 10090 two-sided confidence interval for mean based on the sample data is

{x}\pm t_{1-\α /2,n-1}\frac{s}/{√n}

Here the 95% confidence interval is

= 83 ± t1-0.05/2,67 10/V68

= (80.58,85.42)

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The sample mean is 16 times used to compute the confidence interval.

What is the z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

The given sample value 100 observation,

Sample mean = (Lower limit + Upper limit) / 2 = (14.355 + 17.645) / 2 = 16

Hence, the sample mean is 16 time used to compute the confidence interval.

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According to the SAS congruence rule, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Congruent triangles have the same size and shape. This implies that the corresponding sides and angles are also equal.

The Side-Angle-Side (SAS) rule is used to determine whether a given set of triangles is congruent.

According to the SAS rule, triangles are congruent if two sides and the included angle of one are equal to two sides and the included angle of another.

As shown in Figure

If AC = PQ, BC = PR, and angle C = angle P, then triangle ABC is congruent to triangle QRP according to the SAS rule.

Thus, the SAS rule can be used to determine whether or not two triangles are congruent.

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Answer:

b=21

Step-by-step explanation:

-3=3(-8)+b

-3=-24+b

+24 +24

21=b

Hopes this helps

Annual percentage rate is 14.925% of credit card rate 0.04089.

The phrase annual percentage rate of charge (APR), which can also be referred to as a nominal APR or an effective APR (EAPR), refers to the interest rate for the entire year (annualized), as opposed to only a monthly fee or rate, as applied on a loan, home loan, credit card, etc. An annual percentage rate, or APR, is a figure that expresses the entire cost of borrowing money as a proportion of the loan's principle. An accurate picture of how much it costs to borrow money is intended to be provided by the APR on a loan or credit card.

Given,

Daily rate = 0.04089

Rate = 365

Annual percentage rate = Daily Rate% ×Rate

Annual percentage rate = 0.04089 × 365

Annual percentage rate = 14.925%

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The correct option is B ,  the sum of all allele frequencies is 1.

What is allele frequencies?

Allele frequency, or gene frequency, is that the frequency of allele cistron at a selected locus in a very population, expressed as a fraction or proportion. Specifically, it's the fraction of all chromosomes within the population that carry that allele over the full population or sample size.

Main body:

Allele frequency is totally different from genotype frequency or makeup frequency. Genotype and makeup frequencies may also be calculated and square measure vital for understanding however populations evolve, however they're not identical issue as allele frequency.

Hence the correct option is B.

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The equation for the given phrase is 1/2(x)+2y=14.

Given that, Diego then says if we take half of the first number and double the second the sum is 14.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the first number be x and the second number be y.

Now, half of the first number and double the second the sum is 14

So, 1/2(x)+2y=14

Hence, the equation for the given phrase is 1/2(x)+2y=14.

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The relationship between SST, SSB and SSW is SST = SSB + SSW

The SSW is stands for sum of squares within and the SSW is defined as the sum of squared differences between a number and its sample mean for all numbers

The SSB stands for sum of squares between and the SSB is defined as the  the sum of squared differences between a value and the grand mean.

The SST stands for the the total sum of squares and SST is defined as the the squared differences between the observed dependent value and the mean

The total sum of squares is the sum of the sum of squares between and the sum of square within

Therefore

SST = SSB + SSW

Hence, the relationship between SST, SSB and SSW is SST = SSB + SSW

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In 2018 there are 1079 restaurants using the equation y=980+16.5x .

What is equation?

In algebra, in its simplest form, the definition of an equation is a mathematical statement that two mathematical expressions are equal. For example, 3x 5 = 14 is an equation where 3x 5 and 14 are two terms separated by an equal sign. There are two types of equations: identities and conditionals. Equality applies to all values ​​of the variable. A conditional expression applies only to specific values ​​of a variable. Equations are written as two expressions joined by an equal sign ("=").

Here  restaurants in the United States is ,

=> 2012 = 980

=> 2016 = 1,046

Here in 4 years difference  (2016 - 2012),

=> 1046-980 = 66 more restaurants .

Then in 4 years = 66 restaurants, Then

In 1 year = 66/4 = 16.5 .

Now slope m = 16.5

The order pair of the relationship between years and restaurants ,

(0, 980) and (4, 1,046)

Now the equation ,

=> y = 980+16.5 x

where Y = number of restaurants in one year

x = number of years in the past.

Number of restaurants in 2018,

=> Y = 980 + 16.5x

Years 2018-2012 = 6 years

Forecast number of restaurants,

=> Y = 980 + 16.5(6)

=> 1,079

Therefore the equation is y=980+16.5x and In 2018 there are 1079 restaurants.

To learn more about equation refer the below link

https://brainly.com/question/2972832

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