Find the value of x.

Answer:

IQR = 12

Step-by-step explanation:

interquartile range is the difference between quartile 3 and quartile 1

in this set of data Q3 = 40 and Q1 = 28

so IQR = 12

Answer:

A. 9x2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

1

36

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

1

36

x

y

−

1

9

0

0

1

9

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

5

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

5

8

x

y

−

2

8

5

−

1

2

5

0

0

1

2

5

2

8

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

−

1

40

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

1

40

x

y

−

1

−

10

0

0

1

−

10

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

−

0.2

¯

7

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

0.2

¯

7

x

y

−

2

−

3.6

−

1

−

0.9

0

0

1

−

0.9

2

−

3.6

Answer:

2

Step-by-step explanation:

Answer:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

Step-by-step explanation:

We want to write the equation of a line that passes through the point (3, -1) and is perpendicular to the line:

[tex]y=6x-4[/tex]

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

The slope of the given equation is 6.

So, the slope of our perpendicular line is the negative reciprocal of 6, which is -1/6.

Next, we are given that it passes through the point (3, -1). Since we are given a point and know the slope, we can use the point-slope form. Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

We will substitute -1/6 for m and (3, -1) for (x₁, y₁). Hence:

[tex]\displaystyle y-(-1)=-\frac{1}{6}(x-(3))[/tex]

Simplify:

[tex]\displaystyle y+1=-\frac{1}{6}(x-3)[/tex]

Our answer is valid as it as, but we can simplify this into slope-intercept form. Distribute:

[tex]\displaystyle y+1=-\frac{1}{6}x+\frac{1}{2}[/tex]

And subtract one from both sides. Therefore, our equation is:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

40% of 34 000

40/100 * 34 000 = 13 600

subtract : 34000 - 13 600 = 20 400

10% of 20 400

10/100 * 20 400 = 2040

subtract : 20 400 - 2040 = $ 18 360

Answer:

y = 6

Step-by-step explanation:

Answer:

i helped

Step-by-step explanation:

3 is the correct one!

Given:

Center of a circle is at point C(-1,2).

AB is the diameter of the circle.

Coordinates of the point A are A(2,6).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Point C = Midpoint of AB

[tex](-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{2+a}{2}=-1[/tex]

[tex]2+a=-1\times 2[/tex]

[tex]a=-2-2[/tex]

[tex]a=-4[/tex]

Similarly,

[tex]\dfrac{6+b}{2}=2[/tex]

[tex]6+b=2\times 2[/tex]

[tex]b=4-6[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of point B are (-4,-2).

A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial

Assume a polynomial function is

P(x) = (x - 3)(x + 1)(x -2)

And a linear binomial is:

x - 3 = 0

We start by calculating the value of x in x - 3 = 0

x = 3

Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)

P(3) = (3 - 3)(3 + 1)(3 -2)

Evaluate

P(3) = 0

Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)

Read more about remainder theorem at:

https://brainly.com/question/13328536

#SPJ1

Answer:

Bottom Left

Step-by-step explanation:

We can check by seeing the numbers with the tens place that has the digit 1.

We have numbers 10, 10, 15, 15, 15

That means one's digit values of 0, 0, 5, 5, 5

The bottom left is the only option.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: bottom left

Step-by-step explanation:

Answer:

3x = 7 + 8

Step-by-step explanation:

3x = 7 + 8

3x = 15

x = 3

Answer:

-3

Step-by-step explanation:

1. rearrange so it's in the formula y=mx+C

2. y=-3x+5

y=mx+C

M=gradient

-3=m

gradient= -3

Given:

The function is:

[tex]p(t)=500(0.25)^t[/tex]

Where p(t) represents the number of milligrams of the substance and t represents the time.

To find:

The correct explanation for the number 0.25 and 500 in the given function.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]           ...(i)

Where, a is the initial value and b is the growth/decay factor. If [tex]0<b<1[/tex], then decay factor and if [tex]b>1[/tex], then growth factor.

We have,

[tex]p(t)=500(0.25)^t[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]a=500[/tex], it means initial there are 500 milligrams of the substance.

[tex]b=0.25[/tex], this value is less than 1, it means the substance is decreasing by a factor of 0.25.

Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.

Answer:

Jake has 9 sheep left

Step-by-step explanation:

As the question says, Jake has 12 sheep and all but 9 die. This means that he has 9 sheep left.

Answer:

3

Step-by-step explanation:

Jake has 12 sheeps but 9 died

Jake loss 9 sheeps

Solution:

12-9

=3

Answer:

I’m gay

Step-by-step explanation:

Answer:

Add 8x to both sides of the inequality.

Step-by-step explanation:

I got it right

2/3 of 30

30:3=10

10*2=20

2/3 of 30 = 20

Answer:

20

Step-by-step explanation:

of means multiply

2/3 * 30

60/3

20

Answer:

168.16%

Step-by-step explanation:

Answer:

(P + 7) / 2 or 1/2(P+7)

Happy learning!

--Applepi101

Answer:

5/27

30/81 = 10/17

it's just ratios but if you need then vice versa, swap numerator and denominator

Answer:

the person on top is correct :)

Step-by-step explanation:

Answer:

$8206.37

Step-by-step explanation:

According to the Question,

Given, Some money should be deposited in an account today that earns 4% interest Annually. but it is compounded monthly so (4/12)% Will be the new interest Rate .

Now, What Money Should be Invested For 5 years(60 months) to get $10000 in Return .

The Formula for Compound interest is  [tex]A=P(1+\frac{r}{n})^{nt}[/tex] .

We have, r=4% , n=12 , t=5 & A=$10000 Put These all value in above equation.

[tex]10000=P(1+\frac{0.04}{12})^{60}[/tex]

[tex]P= \frac{10000}{1.0033^{60} }[/tex]   ⇔ $8206.37 Should be invested .

Answer:

Step-by-step explanation:

Straight line equation is in the form of:

Lets verify the options:

Answer:

b . may be

may it helped u ....

Answer: 30 units

:))

Answer:

63462 pies

Step-by-step explanation:

De la pregunta anterior, debemos encontrar el área del sector

La fórmula se da como:

θ / 360 × πr²

Dónde:

θ = 45 °

radio = 402 pies

Área del sector =

45/360 × π × 402²

= 63461.742399 pies

Aproximadamente el área de la ocupada por el parque = 63462 pies

Answer:

40.1

Step-by-step explanation:

i just did it and got it right

Answer:

20

Step-by-step explanation:

By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.