The graphs below are both quadratic functions. The equation of the red graph
is fx) = ». Which of these is the equation of the blue graph, g(x)?

Answer:

2

Step-by-step explanation:

7+2n = 11

2n = 11-7

2n = 4

n = 4/2

therefore n = 2

The Expected value of M is 65

The Standard error of M is 5

Given,

The sample score, n = 9

The Standard deviation, σ = 15

Population mean, μ = 65

Then,

The Expected value of M = μ

∴ The Expected value of M = 65

The Standard error of M = σ/[tex]\sqrt{n}[/tex]

                                          [tex]=\frac{15}{\sqrt{9} } \\\\=\frac{15}{3} \\=5[/tex]

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Based on the number of songs in each genre that Josiah listened to, the statements about his solution that are true are:

To find the average of the number of rock songs, he should have taken the average of rock songs he listened to which were 4 and 6:

= (4 + 6) / 2

= 5

Because he has a total of 1,500 songs on his player, he should have multiplied both the numerator and denominator by a number that would lead to 1,500 which is 75 and not 30.

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Answer:0.0625

Step-by-step explanation:

Answer:

1/16.

Step-by-step explanation:

4 ^-2 = 1 / 4^2

= 1/16.

Answer:

[tex]X1 = 6-\sqrt{2} , X2 = 6+\sqrt{2}[/tex]

Step-by-step explanation:

Answer: x= √2 + 6, - √2 + 6

Step-by-step explanation:

Answer:

x=2.5

Step-by-step explanation:

Solve for x in this systems of equations, we already have two values which equal y so half the work is finished for us.

Starting with the equation:

[tex]x+12=17-x[/tex]

Add x to both sides to remove the negative x on the right side of the equation:

[tex]2x+12=17[/tex]

Subtract 12 from both sides to remove the 12 on the left side of the equation:

[tex]2x=5[/tex]

Divide both sides by 2 to cancel out the x coefficient

[tex]x=2.5[/tex]

Step-by-step explanation:

I am not sure I understand your question (grammatically).

percentages are like any other numbers. they can be added, divided, ...

so, 100% or simply 100 : 100/4 = 25.

so, 4×25 = 100.

and 4×25% = 100%

I am really not sure if this is your question, but it fits to your table with 4 entries and 100% as result.

Considering the equation of the parabola, the directrix is: x = 1.

The equation of an horizontal parabola, of vertex (h,k), is given by:

(y - k)² = 4p(x - h).

The directrix is at x = h - p.

For this problem, the equation is:

(y + 3)² = 8(x - 3).

The relevant coefficients for this problem are:

4p = 8 -> p = 2, h = 3.

Hence the directrix is:

x = h - p = 3 - 2 = 1.

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The equation of the parabola whose equation [tex](y + 3)^3 = 8(x - 3).[/tex], the directrix exists x = 1.

The equation of a horizontal parabola, of vertex (h, k), exists given by:

(y - k)² = 4p(x - h).

The directrix exists at x = h - p.

For this problem, the equation exists:

[tex](y + 3)^3 = 8(x - 3).[/tex]

The appropriate coefficients for this problem exist:

4p = 8

p = 8/4 = 2 and h = 3.

Hence the directrix exists:

x = h - p = 3 - 2 = 1.

Therefore, the directrix exists at x = 1.

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Answer:

$5 each teenager

Step-by-step explanation:

divide 75 by 15

The range of the function f(x) is (-∝, 3]

The function definition is given as:

[tex]f(x) = \left[\begin{array}{cc}3^{x-1}-4&x\le 3\\ \frac{-x^2 + 3x + 4}{x^2 - 7x + 12}&x > 3\end{array}\right[/tex]

There are two sub-functions and the domains in the above definition.

Each function would be plotted alongside its domain.

See attachment for the graph of the function f(x)

From the graph of the function, we have the following range of f(x)

Minimum = Negative Infinity

Maximum = 5

Hence, the range of the function f(x) is (-∝, 3]

We have the domains to be

x <= 3 and x > 3

This means that the asymptote of f(x) is x = 3

From the graph, we have:

This means that the end behavior of f(x) is as x approaches +∝, the function approaches +∝ and as x approaches -∝, the function approaches -∝

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Complete question

A piecewise function f (x) is defined by

[tex]f(x) = \left[\begin{array}{cc}3^{x-1}-4&x\le 3\\ \frac{-x^2 + 3x + 4}{x^2 - 7x + 12}&x > 3\end{array}\right[/tex]

Answer:

Formula=√(x2-x1)²+(y2-y1)² =√(4-0)²+(9-13)2 =√16+16 =√32

Answer:  slope=-1

Step-by-step explanation:

9-13     -4

------   ---------    -4/4=-1

4-0       4

Answer:

24 dollars.

Step-by-step explanation:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

7/12 a + 8 = 22

7/12 a = 14

a = 14 x 12/7

a = 24

A cell's expected frequency can be defined as the number of people in its row divided by the total number of people, multiplied by the number in its column and is therefore denoted as option C.

This is defined as the number of occurrences of a repeating which takes place per unit time.It also helps to measure how frequent something occurs when counted or observed and is also used in the calculation of the  different types of statistical data present or given.

This type of frequency is theoretical and are values which will most likely be in an experiment. it is calculated by multiplying the number in its column by the number of people in the row and dividing by the total number of people in this context.

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Answer:

56

Step-by-step explanation:

combinations

C(8,3)

Answer:

=======================

Connect the center with one end of the chord, this gives us a right triangle with hypotenuse of x, one leg of 6 and another leg of 24/2 = 12.

Use Pythagorean to find the value of x:

Correct choice is C.

Answer:

x = 13.4

Step-by-step explanation:

Definitions

Radius: a straight line from the center of the circle to its circumference.

Chord: a straight line joining two points on the circle.

Perpendicular:  at a right angle (90°).

Isosceles triangle: a triangle with 2 sides of equal length and 2 congruent base angles.

From inspection of the given diagram:

If lines are drawn from the center of the circle to the endpoints of the chord, an isosceles triangle is created with base of 24 units and height of 6 units.  

The isosceles triangle is made up of two right triangles with base of 12 units and height of 6 units.  The radii are the hypotenuse of these right triangles.  Therefore, to calculate the radius of the circle (x), use Pythagoras Theorem.

Pythagoras Theorem

[tex]\sf a^2+b^2=c^2[/tex]

where:

Therefore:

[tex]\sf \implies 6^2+12^2=x^2[/tex]

[tex]\implies \sf x^2=36+144[/tex]

[tex]\implies \sf x^2=180[/tex]

[tex]\implies \sf \sqrt{x^2}=\sqrt{180}[/tex]

[tex]\implies \sf x=\pm 6\sqrt{5}[/tex]

As length is positive:

[tex]\implies \sf x = 6\sqrt{5}=13.4\:units\:(nearest\:tenth)[/tex]

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The degrees of freedom for a chi-square test applied to a cross-tabulation with 5 rows and 2 columns is equal to 6

The given parameters are:

Rows = 5

Column = 2

The degrees of freedom is then calculated as:

df = Rows + Column - 1

Substitute the known values in the above equation

df = 5 + 2 - 1

Evaluate the expression

df = 6

Hence, the degrees of freedom for a chi-square test applied to a cross-tabulation with 5 rows and 2 columns is equal to 6

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Answer:

[tex]BC=24[/tex]

Step-by-step explanation:

We know that in an isosceles triangle if two angles are congruent then the opposite sides of the angle must also be congruent.

Therefore [tex]AC=AB[/tex]

Then we can create an equation and solve for x

[tex]x+8=2x-1\\x+9=2x\\9=x[/tex]

Now that we have x we just need to substitute it for [tex]BC[/tex]

[tex]BC=3x-3\\BC=3(9)-3\\BC=27-3\\BC=24[/tex]

The hypotenuse is [tex]c = a\sqrt{2}[/tex]  times the length of each leg 'a'. Triangle XYZ is a isosceles right triangle, therefore the Pythagoras theorem becomes  and this can be evaluated by using properties of isosceles triangle.

According to the statement

we have given that a theorem and we have to prove it.

So, For this purpose,

The given information is :

Isosceles triangle XYZ where [tex]Angle X = 45^{0}[/tex] [tex]Angle Y = 45^{0}[/tex] [tex]Angle Z = 90^{0}[/tex]

Let the sides of triangle XYZ be a, b, and c. Then side XY = c, YZ = b and ZX = a.

Now, it is given that triangle XYZ is isosceles triangle therefore, the shorter sides must be equal that is, a = b.

Now use Pythagoras theorem

[tex]a^{2} + b^{2} = c^{2}[/tex]

But here a= b then the equation become

[tex]a^{2} + a^{2} = c^{2}[/tex]

Then after solving it become

[tex]2a^{2} = c^{2}[/tex]

And here we have to find the value of the hypotenuse,

so we solve it for c.

Then

[tex]c = a\sqrt{2}[/tex]

From this it is clear that the

it can be concluded that the hypotenuse is  times the length of each leg 'a'.

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Answer:

sheu7euw73u3hsusuuwueudhdhdhsjsjwiwuwuehehdggdhdue

Step-by-step explanation:

hzhsusududjdndjdhehhshshhdhdhdhdhdhdhdhdhbhdhdhhdhdhdudxbdhdhdhdhhshdhyehsuehduwhgduwhdydh

The approximately probability that a person will go to the Saturday morning game and buy nachos is 18%.

The approximately probability of a person going to a Saturday morning game and buying nachos:

Probabaility= [tex]\frac{150}{846} *100[/tex]

                   =17.7%

Approximately=18%.

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The conclusion that the building managers can draw based on the given data is; D: Riding to work is more common among tech company employees than at the other modes of transportation.

The results of the survey are shown in the two-way frequency table below.

From the table we can see that;

Total Cars = 55

Total Number of Buses = 46

Total Number of Walks = 36

Total Number of Bikes = 48

Total Number of Subways = 80

Total Number of  Tech company = 98

Total Number of Law Firms = 73

Total Number of Finance Groups = 94

Option A; There are 16 people who use buses from the tech company while there are 26 people who use subway from the Law firm. Thus, the statement is false.

Option B; There are 12 people who walk to work  at the finance group while there are a total of 10 people who walk to work at the law firm. Thus the statement is false.

Option C; Percentage of walkers at law firm = 10/73 * 100% = 13.7%

Percentage of car drivers at the tech firm = 10/98 * 100% = 10.2%

Thus, the statement is false

Option D; This is true

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Answer:

It is more common to find a bus rider who works at the tech company than a person on the subway who works at the law firm.

Step-by-step explanation:

got it right on edmentum

Answer: [tex]\Large\boxed{-30x^2+40x}[/tex]

Step-by-step explanation:

Given expression

10x (4 - 3x)

Expand the parenthesis by distributive property

= 10x · 4 - 10x · 3x

= (10 × 4)x - (10 × 3) (x × x)

[tex]\Large\boxed{=-30x^2+40x}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Hi :)

We'll use distributive property to solve this

[tex]\LARGE\boldsymbol{10x(\hfill\stackrel{\hfill\stackrel{10x}\curvearrowright}4-\hfill\stackrel{\hfill\stackrel{10x}\curvearrowright}{3x)}}}[/tex]

Thus

[tex]\large\boldsymbol{10x\cdot4-3x\cdot10x}[/tex]

Simplify

[tex]\Large\boldsymbol{40x-30x^2}[/tex]

[tex]\tt{Learn~More;Work~Harder}[/tex]

:)

Answer:

48

Step-by-step explanation:

48 because you are multiplying it by -2 each time. -24 x -2 = 48

Based on the graph of the budget function with the x-intercept and the y-intercept, the two ordered pairs that would fall on this line are (2, 0) (0, 5).

The x-intercept is the point on the graph where the budget function would cross the x-intercept.

At this point, the value of y would be 0 because the x-axis intersects the y-axis at y = 0.

An x-intercept of 2 would therefore have the point, (2,0).

The y-intercept would be the point where the y axis is crossed. At this point, x will be zero because the y-axis intercepts the x-axis at the value, x = 0.

A y-intercept of 5 would therefore yield a point of (0, 5).

In conclusion, option A is correct.

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Answer:

LK = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

given point J (4, 4 )

then LJ = 4 and JK = 4

using Pythagoras' identity in right triangle LJK

LK² = LJ² + JK² = 4² + 4² = 16 + 16 = 32 ( take square root of both sides )

LK = [tex]\sqrt{32}[/tex] = [tex]\sqrt{16(2)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

Answer:

  b)  2.45

Step-by-step explanation:

The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.

For the given points ...

  [tex]x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)[/tex]

The distance between x and y is ...

  [tex]d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45[/tex]

Answer:

5/6

Step-by-step explanation:

we add all the marbles together to get 6

then we seperate the marbles according to the question which would be yellow and red. that would make the probability of getting one of those to 5/6. Hope this helps :)

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

Let x be the speed of the walkway.

(2.8 + x) = speed of child moving in direction of the walkway

(2.8 - x) =  speed of child moving against the direction of the walkway

Travel time = distance/speed

Travel time of child moving in direction of walkway = 23/(2.8+x)

Total elapsed time given = 29s

23/(2.8 + x)+ 23 / (2.8-x) = 29

LCD = (2.8 + x)(2.8 - x)

[tex]23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)[/tex]

simplifying the equation, we get

[tex]23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)[/tex]

[tex]23(2.8+2.8)/29=2.8^2-x^2[/tex]

[tex]x^2=(2.8)^2-(23*5.6)/29)=3.4[/tex]

[tex]x=\sqrt{3.4}=1.84m/s[/tex]

Speed of walkway = 1.84 m/s

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

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The maximum possible profit = $7068

For given question,

One Microsoft July $72 put contract for a premium of $1.32

The payoff arise from put option is max (K - S, 0) - P

Now it would be maximum at S = 0

And, the maximum payoff is

K - 0 - P

= K - P

= 72 - 1.32

= $70.68

We assume that for each and every contract the number of shares is 100

So, the maximum profit gained from this strategy is

= $70.68 × 100 shares

= $7068

The maximum profit that will be gained from this strategy is $7068

Therefore, the maximum possible profit = $7068

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Answer:

(4, 1 )

Step-by-step explanation:

x = 3y + 1 → (1)

2x + 4y = 12 → (2)

substitute x = 3y + 1 into (2)

2(3y + 1) + 4y = 12

6y + 2 + 4y = 12

10y + 2 = 12 ( subtract 2 from both sides )

10y = 10 ( divide both sides by 10 )

y = 1

substitute y = 1 into (1)

x = 3(1) + 1 = 3 + 1 = 4

solution is (4, 1 )