The linear function m = 200 − 50v represents the amount m (in dollars) of money that you have after buying v video games. a. Interpret the terms and coefficient in the equation. b. Find the domain of the function. Is the domain discrete or continuous? Explain. c. Graph the function using its domain.

Answer:

it is the answer number 1

Answer: 49476

Step-by-step explanation:

Answer:

Step-by-step explanation:

Apr is 248  the customer has to pay 248 dollars every month for 30 years he has to pay 7,440 dollars to the bank or he will lose the house.

The third coordinate of the equilateral triangle is [tex](\sqrt3a,0)[/tex]. Ir can be obtained by distance formula.

What is distance formula?

It gives the distance between two coordinates.

Distance formula is given by the following expression:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Consider the third cordinate is (x,0) and x is positive because it is on tight side on the x axis.

Now, since the triangle is equilateral hence, the distance of (x,0) from (0, -a) and (0, a) should be equal to distance between (0, -a) and (0, a).

Now, caculate the distance between (0,-a) and (0, a).[tex]\sqrt{(0-0)^2+(-a-a)^2}=2a[/tex]

Now, distance between (x,0) and (0, a) should be 2a.

[tex]\sqrt{(x-0)^2+(0-a)^2}=2a\\\sqrt{x^2+a^2}=2a[/tex]

Now, square on both the sides.

[tex]x^2+a^2=4a^2\\x^2=3a^2\\x=\sqrt3a[/tex]and [tex]-\sqrt3a[/tex]

But the negative value of x is not possible because the coordinate lies on the right side.

Hence, the third coordinate of equilateral triangle is [tex](\sqrt3a,0)[/tex].

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The solution of the system equation is (-4,-11).

What is system equation?

One or more equations involving a number of variables make up a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

Here the given system equation is,

=> y = 5/2x-1------->1

=> t=2x-3---------->2

Put 1 into 2 then

=> 5/2x-1=2x-3

=>1/2 x=-2

=> x=-4

Put x=-4 into 2 then,

=> y=-8-3=-11.

Hence the solution of the system equation is (-4,-11).

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The required equation is y = 23x - 9 which represents the total number of jumps.

A linear equation is defined as an equation in which the highest power of the variable is always one.

Mrs. Croaker’s class calculated that their class frog, named Fred, jumped 23 times every day, for 14 days in a row.

the total number of jumps = total days × number of jumps per day

the total number of jumps = 14 × 23

the total number of jumps = 322

We can see that two points are (1, 23) and (14, 322)

y - 14 = (322-23/14-1)(x - 1)

y - 14 = 23(x - 1)

y = 23x - 23 + 14

y = 23x - 9

Therefore, the required equation is y = 23x - 9 which represents the total number of jumps.

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The rate of interest for an amount which is compounded quarterly is 4.25%

Given,

The principal amount invested by Oliver, P = $820

The time period of the investment, t = 19 years

The interest is compounded quarterly, n = 4

The amount after 19 years, A = $1830

The compound interest formula;

A = [tex]P (1+\frac{r}{n} )^{nt}[/tex]

We have to find the rate of interest;

For that;

A = [tex]P (1+\frac{r}{n} )^{nt}[/tex]

1830 = 820 [tex](1+\frac{r}{4} )^{76}[/tex]

1830/820 = [tex](1+\frac{r}{4} )^{76}[/tex]

₇₆√1830/820 = 1 + r/4

₇₆√1830/820 - 1 = r/4

r = 4 (₇₆√1830/820 - 1)

r = 0.042 x 100

r = 4.25%

That is,

The rate of interest for an amount which is compounded quarterly is 4.25%

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Answer:

Graph theory is used in dealing with problems that have a reasonably natural graph/network structure.

Explanation:

For example,

road networks - nodes = towns

road junctions, arcs = roads

Communication networks - telephone systems

'Computer systems'

Foreign exchange/multinational tax planning (network of fiscal flows).

Hope it helped! :)

Graph theory is applied to problems that have a fairly natural graph/network structure.

Graph theory is the study of graphs in mathematics, which are mathematical structures used to model pairwise relationships between objects. In this context, a graph is made up of vertices (also known as nodes or points) connected by edges (also called links or lines).

Graph Theory is the study of relationships. Graph theory, given a set of nodes and connections that can abstract anything from city layouts to computer data, provides a useful tool for quantifying and simplifying the many moving parts of dynamic systems.

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Answer:

See below

Step-by-step explanation:

In Q I    cos sin and thus tan are all positive

tan = sin / cos     so you need to find sin

TRIG identity:  

cos^2 + sin^2 =1

 16/27 + sin^2 =1

              sin^2 = 1 - 16/27 =  11/27

                  sin = sqrt (11/27)

tan = sqrt (11/27) / ( 4/sqrt27) =+ sqrt (11) /4

Answer:

just multiply 28 and (28x), then 28 and 0.7 (19.6) and then put them into the correct answer (28x+19.6)

The answer, the money needs to be deposited each month is $557.47.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The future money plan to have 500000

Retirement in 35 years.

The interest 4%.

number of time periods = 35 years * 12 months per year = 420

interest will be .4166666667% per month

The formula = [tex]p(\frac{(1+r/n)^{r/n} -1 }{\frac{r}{n} } )[/tex]

⇒500000*(.014/12) = d(3.98-1)

⇒d = 1666.7/2.98 = 557.47

Hence the money needs to be deposited each month is $557.47

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Answer: w=6

Step-by-step explanation: 1. Simplify. Distribute the -4 to the w and the -3. -4*w is -4w and -4*-3 is +12, so your left with 3w-4w+12=6.

2. simplify again. 3w-4w is -w.

3. -w+12=6. Subtract w to both sides, so its -w=-6. The negatives cancel out, so w just equals 6.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 5 \\\\\\ \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}{(-4)}=\stackrel{m}{- 5}(x-\stackrel{x_1}{2}) \implies y +4= -5 (x -2) \\\\\\ y+4=-5x+10\implies {\Large \begin{array}{llll} y=-5x+6 \end{array}}[/tex]

Answer:

The slope of a line perpendicular to m=2 is m= 1.

Step-by-step explanation:

2x+2y=-12

2y=-2x-12

y= -x-6.

The equation is in slope-intercept form now, so it is easy to tell what the slope is.

The slope of y= -x-6 is m = -x. Technically, -x = -1x, so now make the -1 positive and find the reciprocal, which is still 1.

All you need to do to find the perpendicular slope of any line is simply to find the reciprocal of the number and make the positive/negative number the opposite. I hope this helps, have a good day/night! :)

The table that represents the proportional relationship for 3 cups of grape juice for every one fourth cup of rainbow sherbet is:

Grape Juice (cups) 3 6 9

Rainbow Sherbet (cups) 0.25 0.5 0.75

The table that represents the proportional relationship would have a constant ratio of grape juice to rainbow sherbet of 3 cups to one fourth constantly.

One-fourth is equivalent to 1 / 4 when written as a fraction and 0.25 when written as a decimal.

In the second table, when 3 and 0.25, 6 and 0.5, 9 and 0.75 cups of grape juice and rainbow sherbet are expressed in it simplest form, they are all equivalent to 3 and 1/4.

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Answer:

Grape Juice (cups) 3 6 9

Rainbow Sherbet (cups) 0.25 0.5 0.75

Step-by-step explanation:

I took the exam and got it right

The growth follows a linear equation, for that we need

y = mx + c

The number of months would be the x axis as that is the thing changing, and the height would be the y axis as that is the thing being measured to change.

That now gives us

H = mM + c

m is the gradient and c is the y intercept

We can figure out the gradient because after 1 month the height increases by 1 so the change in y vs the change in x is 1 so the gradient must be 1.

The y intercept in this case is the initial condition and therefore is 11cm.

The final answer being

H = M + 11

The equation of the parabola from the vertex is f(x) = -3(x - 5)² + 9

The equation of the function is given as

f(x) = 3x²

Also, we have

Vertex = (5, 9)

The form of the equation is given as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

This means that

Vertex = (h, k) = (5, 9)

Substitute (h, k) = (5, 9) in the equation f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 5)² + 9

This also means that

f(x) = -3(x - 5)² + 9

The -3 is gotten from f(x) = -3x²

Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9

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Answer:

x = - 8

Step-by-step explanation:

7(4 - x) = 84 ( divide both sides by 7 )

4 - x = 12 ( subtract 4 from both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

As a check

substitute x = - 8 into the left side of the equation and if equal to the right side then it is the solution.

7(4 - (- 8) )

= 7(4 + 8)

= 7(12)

= 84 = right side

Then x = - 8 is the solution to the equation

Answer: It should be 33.5%

Answer:

below

Step-by-step explanation:

point -1,-4

y - -4  = 3 ( x - -1)

y + 4 = 3 ( x+1)     <====== I think this is a far as they want you to take it

y = 3x -1          slope - intercept form

Answer:

14.40 rounded, 14.3999 whole number

Step-by-step explanation:

hope this helps :)

The graph that represents the solution of the inequality is

What is a system of inequality?

An inequality is known as an expression in which two value do not have an equal sign. they have either >, <,≥,≤. And to compute the solution

We plot the inequality and find the common region between them.

We are given a system of inequalities

Which are

y > x-1 and y< -x-2

We plot the graphs of the inequalities

Now we have plotted the graph the red one represents inequality y> x-1

and blue one represents inequality y< -x-2

And the intersection of the two is known as the solution of the system of inequality

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One of the possible solutions to this system of linear inequation is

(10, 5).

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Bilquis has x dimes and y nickels.

We know a nickel is 5 cents and a dime is 10 cents.

She has at least 15 coins,

∴ x + y ≥ 15...(i)

She has no more than $1 combined.

0.05x + 0.1y ≤ 1...(ii)

The possible solution of these two inequalities by the graphing method we get (10, 5)

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