The yearly cost in dollars y, for a member at a video game arcade based on total game tokens purchased, x, is y=1/2x+6. A nonmember pays $20 per game token, but no yearly fee. Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?

Hello,

[tex]Let's\ say \\\\z=\sqrt{3+4*i} =a+b*i\\\\z^2=3+4*i=(a+b*i)^2=a^2-b^2+2i*a*b\\\\\\if \ a\neq 0\\\left\{\begin{array}{ccc}a^2+b^2&=&3\\2ab=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b=\dfrac{2}{a}\\a^2-(\dfrac{2}{a})^2=2\\\end{array}\right.\\\\\\a^4-4=3*a^2\\a^4-3a^2-4=0\\\\\Delta=(-3)^2-4*1*(-4)=25=5^2\\\\a^2=4\ or \ a^2=-1 (impossible)\\\\So:\\(a=2\ and\ b=1)\ or\ (a=-2\ and\ b=-1)\\[/tex]

Roots are thus 2+i and -2-i

There is an other using a geometrical formula (formule de Moivre)

Answer:

[tex]67.20\%[/tex]

Step-by-step explanation:

Given

[tex]n =2430[/tex] --- sample

[tex]r = 16.72\%[/tex] --- degeneration rate

From the findings, we have:

[tex]p = 377[/tex] --- tested positive

[tex]t =561[/tex] --- total test

Required

The positive predicted value (PPV)

This is calculated using:

[tex]PPV=\frac{Positive}{Total}[/tex]

i.e.

[tex]PPV = \frac{377}{561}[/tex]

[tex]PPV = 0.6720[/tex]

Express as percentage

[tex]PPV = 0.6720 * 100\%[/tex]

[tex]PPV = 67.20[/tex]

Answer:

answer is x=-1/10 is the answer

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5

Answer:

a = 17

c = 9

Step-by-step explanation:

2a + 3c = 61

3a + 5c = 96

3a = 96 - 5c   (solve for 'a'. Then you can substitute)  

a = 32 - [tex]\frac{5}{3}[/tex] c

2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61     (Substitute)

64 - [tex]\frac{10}{3}[/tex]c + 3c = 61        ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])

-[tex]\frac{1}{3}[/tex] c= -3  

c = 9

2a + 3(9) = 61

2a + 27 = 61

2a = 34

a = 17

Answer:

<A = <B

=> 8x - 8 = 5x + 25

<=> 3x = 33

<=> x = 11

with x = 11 => mB = 5.11 + 25 = 55 + 25 = 80⁰

Answer:

x=11

B=80

Step-by-step explanation:

8x-8=5x+25

3x=33

x=11

B=5(11)+25

B=80

Answer:

There are 16 pink jelly beans.

There are 16+34+24+26=100 jelly beans in total.

The probability is 4/25, or 16%.

Step-by-step explanation: hope this helps and gl :)

Answer:

The answer is 4/25

Step-by-step explanation:

Hope this helps

Answer:

5/12

Step-by-step explanation:

1/2 x 5/6 = 5/12

Answer:

[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]

Step-by-step explanation:

We have the two points (3a, 4) and (a, -3).

And we want to find the value of a such that the gradient of the line joining the two points is 1.

Recall that the gradient or slope of a line is given by the formula:

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

Where (x₁, y₁) is one point and (x₂, y₂) is the other.

Let (3a, 4) be (x₁, y₁) and (a, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{-3-4}{a-3a}[/tex]

Simplify:

[tex]\displaystyle m=\frac{-7}{-2a}=\frac{7}{2a}[/tex]

We want to gradient to be one. Therefore, m = 1:

[tex]\displaystyle 1=\frac{7}{2a}[/tex]

Solve for a. Rewrite:

[tex]\displaystyle \frac{1}{1}=\frac{7}{2a}[/tex]

Cross-multiply:

[tex]2a=7[/tex]

Therefore:

[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]

Answer:

[tex] \frac{7}{2} [/tex]

Step-by-step explanation:

Objective: Linear Equations and Advanced Thinking.

If a line connects two points (3a,4) and (a,-3) has a gradient of 1. This means that the slope formula has to be equal to 1

If we use the points to find the slope: we get

[tex] \frac{4 + 3}{3a - a} [/tex]

Notice how the numerator is 7, this means the denominator has to be 7. This means the denomiator must be 7.

[tex]3a - a = 7[/tex]

[tex]2a = 7[/tex]

[tex]a = \frac{7}{2} [/tex]

Answer:

x=2

Step-by-step explanation:

Answer:

a+b = 3

Step-by-step explanation:

a = b+4

a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12

8b=-4

b = - 1/2

a = 3.5

Answer:

y = -1/3x + 14/3

Step-by-step explanation:

We have the standard equation as;

y = mx + b

where m is the slope and b is the y-intercept

the given points are;

(-1,5) and (2,4)

So we plug x and y for each of the points

then we create two linear equations which we can solve simultaneously to get the values of m and b

From the points;

5 = -m + b•••••••(i)

4 = 2m + b

from i;

b = 5 + m

substitute this into equation ii

4 = 2m + 5 + m

4 = 3m + 5

4-5 = 3m

3m = -1

m = -1/3

Recall;

b = 5 + m

b = 5-1/3

b = 14/3

so we have the equation as;

y = -1/3x + 14/3

Multiply through by 3

3y = -x + 14

Answer:

4

−

4

+

8

2

+

8

Step-by-step explanation:

Answer:

roots are real and distinct

Step-by-step explanation:

To determine the nature of the roots use the discriminant , b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then roots are not real

Given

2x² - [tex]\sqrt{5}[/tex] x - 2 = 0

with a = 2, b = - [tex]\sqrt{5}[/tex] , c = - 2 , then

b² - 4ac

= (- [tex]\sqrt{5}[/tex] )² - ( 4 × 2 × - 2)

= 5 - (- 16)

= 5 + 16

= 21

Since b² - 4ac > 0 then the equation has 2 real and distinct roots

Answer:

8 edges

Step-by-step explanation:

Form the formula F+V=E+2

U make E the subject by moving everything thing else to the left hand side

F+V-2=E

this implies 5+5-2=E

10-2=E

therefore Edges = 8

The polyhedron with 5 faces and 5 vertices has 8 edges.

To determine the number of edges in a polyhedron with 5 faces and 5 vertices using Euler's formula (F + V = E + 2).

we need to substitute the given values into the equation.

Given:

Number of faces (F) = 5

Number of vertices (V) = 5

Substituting these values into Euler's formula, we have:

5 + 5 = E + 2

Simplifying the equation:

10 = E + 2

Subtracting 2 from both sides:

E = 10 - 2

E = 8

Therefore, the polyhedron with 5 faces and 5 vertices has 8 edges.

To learn more on Euler's formula click:

https://brainly.com/question/12274716

#SPJ7

Answer:

No

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

When we plot (-3, -5) on the coordinate plane, we can see that it is not in the shaded region.

∴ (-3, -5) is not a solution.

Answer:

the answer is true

Step-by-step explanation:

the ratio is less than 1

Answer:

x = 2.5

Step-by-step explanation:

Because the triangles are similar, you can divide the sides and equal the results:

24/6 = 10/x

24•x/6 = 10

24•x = 10•6

24•x = 60

x = 60/24

x = 2.5

Answer:

x = 2.5 km

Step-by-step explanation:

In similarity triangles, corresponding sides are in same ratio.

[tex]\frac{DF}{BC}=\frac{EF}{AC}\\\\\frac{10}{24}=\frac{x}{6}\\\\\frac{10}{24}*6=x\\\\x=\frac{10}{4}\\\\x=\frac{5}{2}\\\\x= 2.5[/tex]

Answer:

Say I want a

Step-by-step explanation:

Ask what do you mean

is this year 3 math? Its 4

Answer: 3

Step-by-step explanation:

Let the number be x.

4*(x squared) = 12x

Divide both sides by 4,

X squared = 3x,

divide both sides by x,

X=3

Answer:

34.9°

Step-by-step explanation:

SOH

CAH

TOA

SOH ... sin(x) = 8/14

arcsin(8/14) = 34.85°

Proportional Linear Relationships can be expressed in the following ways:

From a graphical point of view, a relationship is proportional and linear if the line representing the equation goes via the origin. It is to be noted that a relationship must be linear for it to be proportional and vice versa.

Thus, it is correct to state that Proportional Linear Relationships can be expressed in the following ways:

An example of an equation that is proportional and linear is:
y = 6x + 8. Note that this linear equation is proportional because it has a constant component.

Learn more about the proportional linear relationships at;
https://brainly.com/question/2143065
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[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]x \: ( - 12 )= 132[/tex]

[tex]↬ \: x = \frac{132}{ - 12} [/tex]

[tex]↬x = - 11[/tex]

Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]x \: ( - 12) = 132[/tex]

[tex]➺ \: - 11 \: ( - 12) = 132[/tex]

[tex]➺ \: 132 = 132[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

Step-by-step explanation:

x(-12) =  132

To find the value of 'x' , divide  both sides of the equation by (-12)

[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]

Answer:

volume of the sphere=4/3πr³

=4/3×3×1³ inch³

=4 inch³

Answer:

-2 0 2 3 this is the domain of the ordered pairs shown in the graph above