A high school drama club is selling tickets for a fundraiser event. Based on data from past events, the number of tickets sold can be modeled by a linear function Q(x) = −40x + 640, where x is the price, in dollars, of each ticket. The revenue R can be determined by multiplying the ticket price x by the number of tickets sold. Write a quadratic function R that correctly represents this model.

Answer:

BD = 3.2.

CD = 2.4.

Step-by-step explanation:

By Pythagoras:

AB^2 = 3^2 + 4^2 = 25

AB = 5.

Triangles ADC and ACB are similar, so

AC / AB = AD / AC

3 / 5 = AD / 3

AD = 3*3/5

AD =  9/5 = 1.8

So BD = 5 - 1.8

= 3.2.

CD^2 = AC^2 - AD^2 (Pythagoras)

CD^2 = 3^2 - 1.8^2 = 5.76

CD = 2.4.

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

Answer:

-7/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-2))/(-2-3)

m=(5+2)/-5

m=7/-5

Answer:

i dont know why u deleted my answer- but ok

Step-by-step explanation:

Answer:

a hope it helps make brainlliest

Answer:

Step-by-step explanation:

Step-by-step explanation:

Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.

[tex]0 \leqslant x \leqslant 7[/tex]

Answer:

40 m

Step-by-step explanation:

The length of another side

= 99÷11

= 9 m

The perimeter of the field

= 9×2 + 11×2

= 40 m

Answer:

40 m

Step-by-step explanation:

Hi there!

What we know:

1) Find the length of the other side

Plug all the given information into the area formula for a rectangle:

[tex]A=lw[/tex] where A is the area, l is the length and w is the width

[tex]99=11w[/tex]

Divide both sides by 11 to isolate w

[tex]\frac{99}{11} = \frac{11w}{11} \\9=w[/tex]

Therefore, the width of the field is 9 m.

2) Find the perimeter of the field

[tex]P=2(l+w)[/tex] where l is the length and w is the width

Plug in the length (11 m) and the width (9 m)

[tex]P=2(11+9)\\P=2(20)\\P=40[/tex]

Therefore, the perimeter of the field is 40 m.

I hope this helps!

Answer: 9/80

Step-by-step explanation:

4300( 4308.08)

Your welcome

So all you have to do is multiply the radius by itself. So in this case 14x14=196.

So then multiply that by pi aka 3.14. So 196x3.14=615.44 then multiply that by your height in this case its 7 So 615.44x7=4308.08

Answer:

fist silde =is 15,4,25

second slide is=18

third slide is=15,31,25

Step-by-step explanation:

sorry i cant get the 4th and 5th ones. but i mean you can mark me brainliest.

hope you have a great day and god loves u<3

Answer:

6..... left side: 4, right side: 15 and 25 7.... 18 centimeters 8..... left side: 15 and 25, right side: 28 9..... 8 weeks 10.... left side: 20, right side: 27, 45.

Step-by-step explanation:

I hope this helped you! I would write the explanation for each problem but that would take to long.

Answer:

The focus of the ellipse are;

(-12·√(10), -8) and (12·√(10), -8)

Step-by-step explanation:

The given equation for the ellipse is presented as follows;

[tex]\dfrac{x^2}{46} + \dfrac{(y + 8)^2}{26} = 1[/tex]

From the general equation of the ellipse, we have;

[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

The focus of the ellipse are, (h - c₁, k) and (h + c₁, k)

By comparison, we get;

h = 0, k = -8, a = 46, b = 26

We have;

c² = a² - b²

c² = 46² - 26² = 1440

c = 12·√(10)

The focus of the ellipse are therefore;

(0 - 12·√(10), -8) = (-12·√(10), -8), and (0 + 12·√(10), -8) = (12·√(10), -8).

Answer:

Yes.

Step-by-step explanation:

(10, -6) are the values to substitute in for x and y, respectively.

11(10) + 19(-6) = 110 - 114 = - 14

3(10) + 8(-6) = 30 - 48 = -18

Answer:

the answer is 7×9=(7×10)-(7×1)

Answer:

41

Step-by-step explanation:

A pair of consecutive numbers is written as: N and N + 1

(where the larger page number is N + 1)

And we know that the product of these numbers is 1640.

Then:

(N)*(N + 1) = 1640

Solving for N, we get:

N^2 + N = 1640

N^2 + N - 1640 = 0

This is a quadratic equation, remember that for a general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

In our case, the solutions are:

[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]

Then the two solutions are:

N = (-1 + 81)/2 = 40

N = (-1 - 81)/2 = -41

Because N represents the number on a page, it only can be a positive value, then we take the positive solution.

Then the two consecutive numbers, N and N + 1

are:

N = 40

N + 1 = 41

The value of the larger page number is 41.

Answer:

Hello! Your answer would be B)B

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia

Answer:

l = (3x+5)

Step-by-step explanation:

Given that,

The area of a room, [tex]A=3x^2-x-10[/tex]

The width of the room, [tex]b=(x-2)[/tex]

We need to find the length of the room.

The area of the room is given by :

A = lb

[tex]l=\dfrac{A}{b}\\\\l=\dfrac{3x^2-x-10}{x-2}\\\\l=\dfrac{(x-2)(3x+5)}{x-2}\\\\l=(3x+5)[/tex]

So, the length of the room is equal to (3x+5).

Answer:

4.5

Step-by-step explanation:

Answer:

96 m^2

Step-by-step explanation:

1. Multiply base x height

  12 x 16 = 192

2. Divide by half

   192/2 = 96

Answer:

The complement of 46° = 44°

The supplement of 82° = 98°

Step-by-step explanation:

Complement means 90° - the angle (46°).

So, 90° - 46° = 44°

Supplement means 180° - the angle (82°)

So, 180° - 82° = 98°

The complement of 46° = 44°

The supplement of 82° = 98°

Complementary angles are two angles that have a sum of 90°.

Supplementary angles are two angles that have a sum of 180°.

According to the question

a. An angle measures 46°.

The measure of its complement :

The meaning of complementary angle is two angles that add up to 90 degrees.

Complementary angles = sum of two angles = 90 degrees.

x° = y° + z°

90° =  y° + z°

Given y° = 46°

z° = 90° -  y°

z° = 90° -  46°

z° = 44°

The measure of its complement is 44°.

b. An angle measures 82°.

The meaning of supplementary angle is two angles that add up to 180 degrees.

Supplementary angles = sum of two angles = 180 degrees.

a° = b° + c°

180° =  b° + c°

Given  b° =  82°

c° = 180° -  b°

z° = 180° -  82°

z° = 98°

The measure of its supplement is 98°.

Find out more information about complementary and supplementary angles here

brainly.com/question/2882938

#SPJ2

Answer:

See below for answers

Step-by-step explanation:

y=5(2)ˣ

y=5(2)⁻²=5(1/2²)=5(1/4)=5/4

y=5(2)⁻¹=5(1/2¹)=5(1/2)=5/2

y=5(2)⁰=5(1)=5

y=5(2)¹=5(2)=10

y=5(2)²=5(4)=20

Write the system as an augmented matrix:

[tex]\left[\begin{array}{cc|c}1&5&22\\4&-7&7\end{array}\right][/tex]

Add -4 (row 1) to row 2 :

[tex]\left[\begin{array}{cc|c}1&5&22\\0&-27&-81\end{array}\right][/tex]

Multiply row 2 by -1/27 :

[tex]\left[\begin{array}{cc|c}1&5&22\\0&1&3\end{array}\right][/tex]

Add -5 (row 2) to row 1 :

[tex]\left[\begin{array}{cc|c}1&0&7\\0&1&3\end{array}\right][/tex]

Then x = 7 and y = 3.

Answer:

QTS=STQ=STR

Step-by-step explanation:

Answer:

are you looking for the substiution

Step-by-step explanation:

Answer:

average temperatures on mars, then you get the hottest temperatures...

Step-by-step explanation:

Answer: x=1/2=0.5

Step-by-step explanation:

Given

3(2x) - 4(3x) + 3= 0

Expand parenthesis

6x - 12x + 3 = 0

Combine like terms

-6x + 3 = 0

Subtract 3 on both sides

-6x + 3 - 3 = 0 - 3

-6x = -3

Divide -6 on both sides

-6x / -6 = -3 / -6

x = 1/2 = 0.5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

40⁰

Step-by-step explanation:

As triangle is isosceles,

Z = Y = 70⁰

Thus X = 40⁰, to corporate angle sum property

Answer:

1. 2x+4

2.2x-3

3.4x

4.3x-4