Which represents a quadratic function?
f(x) = -8X^3 – 16x^2 - 4x
f(x) = 3/4+ x^2 - 5
f(x) = 4/x^2-2/x+1
f(x) = 0x^2 - 9x + 7

Answer:

x ∈ (-2,−∞)

Step-by-step explanation:

x ∈ (-2,−∞)

this is the answer to the question

Answer:

a) [tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

b) f(2) = 0.04462

c) f(1) = 0.01487

d) [tex]P(X \geq 2) = 0.93803[/tex]

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of successes

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

In this question:

[tex]\mu = 6[/tex]

a. Write the appropriate Poisson probability function.

Considering [tex]\mu = 6[/tex]

[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

b. Compute f (2).

This is P(X = 2). So

[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]

So f(2) = 0.04462

c. Compute f (1).

This is P(X = 1). So

[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]

So f(1) = 0.01487.

d. Compute P(x≥2)

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248[/tex]

[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]

[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]

Then

[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.06197 = 0.93803[/tex]

So

[tex]P(X \geq 2) = 0.93803[/tex]

Answer:

67 mph

Step-by-step explanation:

201/3 = 67

Answer:

1 ft^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the base and h is the height

A = 1/2 ( 3) * ( 2/3)

A = 3/2* 2/3

A =1

Answer:

1 ft^2

Step-by-step explanation:

The formula for the area of a triangle is as follows, a=b*h*1/2

Now, let's plug in the values to match your question. A=3*2/3*1/2

Lastly, solve. 3*2/3=6/3=2. Then divide 2 by 1/2=1.

Add the unit to make it 1 ft^2

Hope this helps!

Answer:

90km² only if it is parallelogram

Step-by-step explanation:

base = 9km

height=10km

area of parallelogram = b x h

=9km x 10km

=90km²

Answer:

A = 90km2

Step-by-step explanation:

Area of a rhombus is:

1. A = s x h (if given side and height)

2. A = 1/2 a x b (if given lengths of diagonals)

3. A = s^2 sin A (if given side and length)

Therefore from your problem, height and side is given thus, you'll use number 1

A = s x h

A = 9km x 10km = 90km2

Answer:

No , it is not a right angle triangle

Step-by-step explanation:

according to the pythagoras theorem in right angled triangle sum of square of two sides is equal to the square of it's hypotenuse.

using pythagoras theorem

a^2 + b^2 = c^2

9^2 + 16^2 = 25^2

81 + 256 = 625

337 = 625

since sum of square of two smallest sides of a triangle is not equal to the square of it's hypotenuse it can be concluded that the given figure does not form right angle triangle.

Answer:

(x,y) = (3.5, 11)

Step-by-step explanation:

(8,2)(x,y) = (28,22)

Dot product, so:

[tex](8,2)(x,y) = (8x,2y) = (28,22)[/tex]

Then

[tex]8x = 28[/tex]

[tex]x = \frac{28}{8} = 3.5[/tex]

And

[tex]2y = 22[/tex]

[tex]y = \frac{22}{2} = 11[/tex]

So

(x,y) = (3.5, 11)

Answer:

7x + 14

Step-by-step explanation:

the first thing to do is expand the parentheses/brackets.

3(5x + 2) -2(4x - 4) will be

3(5x) + 3(2) -2(4x) -2(-4)

= 15x + 6 - 8x + 8

collect like terms

15x - 8x + 6 + 8 = 7x + 14

the answer is 7x + 14

Answer:

3(5x+2)-2(4x-4)

15x+6-8x+8

15x-8x+6+8

7x+14

Answer:

36cm^2

Step-by-step explanation:

total area: 6x(4+3)=42

total area excluding the space: 42-(2x3)=36

Answer:

36 cm squared

Step-by-step explanation:

To solve this problem, I first construct a line. (shown in yellow in the first photo)

I then find the area of the top rectangle. (6 cm * 4 cm = 24 cm squared.)

Next, I find the area of the lower rectangle. But...to do that I have to find the length of the line that I constructed. To do this, I do  6cm-2cm=4cm.

Then I can find the area of the lower rectangle. (4cm*3cm=12cm squared.)

add up the area of both of the rectangles and.........12+24=36 cm squared

Answer:

the first diagram

Step-by-step explanation:

first one

Given:

Consider the below figure attached with this question.

The linear equation is:

[tex]y=2x-8[/tex]

To find:

The values to complete the table of ordered pairs for the given linear equation.

Solution:

We have,

[tex]y=2x-8[/tex]

Substituting [tex]x=0[/tex] in the given equation, we get

[tex]y=2(0)-8[/tex]

[tex]y=0-8[/tex]

[tex]y=-8[/tex]

So, the value for first blank is -8.

Substituting [tex]y=-2[/tex] in the given equation, we get

[tex]-2=2x-8[/tex]

[tex]-2+8=2x[/tex]

[tex]\dfrac{6}{2}=x[/tex]

[tex]3=x[/tex]

So, the value for second blank is 3.

Substituting [tex]x=2[/tex] in the given equation, we get

[tex]y=2(2)-8[/tex]

[tex]y=4-8[/tex]

[tex]y=-4[/tex]

So, the value for third blank is -4.

Therefore, the required complete table is:

     x           y

     0         -8

    3         -2

     2          -4

Answer:

El individuo poseía treinta millones.

Step-by-step explanation:                              

Podemos expresar la repartición del individuo como sigue:

[tex] x = \frac{x}{2} + \frac{x}{3} + \frac{x}{10} + 2000000 [/tex]

Dado que la suma de la repartición de la mitad que le da a su esposa (x/2), del tercio que le da a su único hijo (x/3), de la décima parte que le da a un sobrino (x/10) y de los dos millones que le da a una beneficiencia debe ser igual al monto incial que tenía (x).

Resolviendo la ecuación de arriba para "x" tenemos:

[tex] x - \frac{x}{2} - \frac{x}{3} - \frac{x}{10} = 2000000 [/tex]

[tex] x = 30000000 [/tex]

Por lo tanto, el individuo poseía treinta millones.

Espero que te sea de utilidad!                  

Answer:

C. 3/8

HOPE THIS HELPS :)

Answer:

c. 3/8

Step-by-step explanation:

first you need the denomerator by adding all marbles together which equals 32. now for the munerator you need the sum of the green and yellow marbles. this equals 12. so your fraction is 12/32. next we simplify. we can divide both numbers by 4. getting us a fraction of 3/8.

Answer:

The equation of line FG is [tex]y = \frac{2}{3}x - 4[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

F(-3;-6), G(3; -2)

When we have two points, the slope is given by the change in y divided by the change in x. So

Change in y : -2 - (-6) = -2 + 6 = 4

Change in x: 3 - (-3) = 3 + 3 = 6

Slope: [tex]m = \frac{4}{6} = \frac{2}{3}[/tex]

So

[tex]y = \frac{2}{3}x + b[/tex]

Finding b:

(3; -2) means that when [tex]x = 3, y = -2[/tex]. We use this to find b.

[tex]y = \frac{2}{3}x + b[/tex]

[tex]-2 = \frac{2}{3}(3) + b[/tex]

[tex]2 + b = -2[/tex]

[tex]b = -4[/tex]

The equation of line FG is [tex]y = \frac{2}{3}x - 4[/tex]

Answer:

8970

Step-by-step explanation:

In order to round 9272 so that it has only 1 nonzero digit, look at the hundred digit, If the number is greater or equal to 5, add 1 to the thousand figure. If this is not the case, add zero

The hundred digit is 2 which is less than 5, so 0 is added to 9. the number becomes 9000

In order to round 28 so that it has only 1 nonzero digit, look at the units digit, If the number is greater or equal to 5, add 1 to the tens figure. If this is not the case, add zero

The units digit is greater than 5, so 1 would be added to tens digit. the number becomes 30

9000 - 30 = 8970

Answer:

What is the cos theta for, i would use sin to solve for theta and then we would get 41.25 degrees.

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

why did you put it

Answer:

14

Step-by-step explanation:

9+10+11+12+13+14=69

The [tex]HIGHEST[/tex] of these numbers is [tex]14[/tex]

Let the [tex]CONSECUTIVE[/tex] numbers be : [tex]a, a+1, a +2,a+3,a+4,a+5[/tex]

Taking the sum :

[tex]a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 = 69\\6a + 15 = 69\\6a = 69 - 15\\6a = 54\\a = 54 / 6\\a = 9[/tex]

[tex]HIGHEST[/tex] value = [tex]a + 5 = 9 + 5 = 14[/tex]

Hence, [tex]HIGHEST[/tex] value = [tex]14[/tex]

Learn more : https://brainly.com/question/15974141

Answer:

P(A or B) = 1.16

Step-by-step explanation:

Given probability:

Probability of event A = P(A) = 0.46

Probability of event B = P(B) = 0.7

P(A and B) = 0.43

Find:

P(A or B)

Computation:

If A is an incident and B is a separate event, P(A or B) is the possibility of either A, B, or both events occurring.

P(A or B) = P(A) + P(B)

P(A or B) = 0.46 + 0.7

P(A or B) = 1.16

Answer:

Step-by-step explanation:

(2×4-6)/(3-2)=2

Answer:

[tex]{ \tt{f(x) = x - 2}} \\ { \bf{f(3) = 3 - 2 = 1}} \\ \\ { \tt{g(x) = 2x - 6}} \\ { \bf{g(4) = 2(4) - 6 = 2}} \\ \\ { \boxed{ \tt{ \frac{g(4)}{f(3)} = \frac{2}{1} = 2}}}[/tex]

Answer:

Step-by-step explanation:

Answer:

f(-2) = g(-2) this is the answer

Answer:

The amswer is 48.

Step-by-step explanation:

120×0.40=48

Answer:

2nd option

Step-by-step explanation:

The lines are parallel because the angles are congruent since they are Alternate exterior angles.

Answer:

each boy will get 1.33333333333 of a pan

Step-by-step explanation:

Answer:

Each boy in that group would get about 1 and 1 third of a pan of treats or 1.33 repeating

Step-by-step explanation:

To find this you would take the numbers of pans (4) and divide it by the number of boys (3).

4 / 3 = 1.33333

Answer:

First table

Step-by-step explanation: