Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance?

Play A: y=25x+136
Play B: y=-x^2+44x+76

Answers

Answer 1

Answer: Day 4 and 15

Step-by-step explanation:

Set up system of equations:

[tex]25x+136=-x^2+44x+76[/tex]

Simplify:

[tex]x^2-19x+60=0[/tex]

Factor: Both factors must be positive as the days can only be natural numbers.

[tex](x-15)(x-4)=0[/tex]

x=4,15


Related Questions

find the mean of the following 205,208,205,200,210,300,210,180.​

Answers

214.75 is the mean

by adding all of the numbers together and dividing it by the amount of numbers you have (8), you got 214.75

HELPPPP MEEEE OUTTTTT ASAPPPPP PLEASEEEEE!!!!!

Answers

Answer:

cos A = 7/25

Step-by-step explanation:

Since we are given a right triangle, we can use trig functions

cos A = adj side/ hypotenuse

cos A = 7/25

Answer:

[tex]\boxed{\sf cos\ A =\frac{7}{25}}[/tex]

Step-by-step explanation:

We need to find out the value of cos A using the given triangle . Here we can see that the sides of the triangle are 7 , 25 and 24 .

We know that the ratio of sine is base to hypontenuse .

[tex]\sf\longrightarrow cos\theta =\dfrac{ base}{hypontenuse}[/tex]

Here we can see that the side along the angle A is 7 , therefore the base of the triangle is 7. And the side opposite to 90° angle is 25 . So it's the hypontenuse . On using the ratio of sine ,

[tex]\sf\longrightarrow cos \ A =\dfrac{ b}{h}=\dfrac{AB}{AC}[/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow \boxed{\blue{\sf cos \ A =\dfrac{7}{25}}}[/tex]

Hence the required answer is 7/25.

Which type of transformation is this?

Answers

Answer:

A reflection across the x axis

Step-by-step explanation:

Parallelogram ABCD was reflected across the x axis to create parallelogram A'B'C'D'

Construct 5 equivalent equations for the equation - 3 + 2x = -4.

Answers

Answer:C

Step-by-step explanation:

3-2x = 4-2x = 12x = -1x = -1/2-x = 1/2

How would I solve this half life problem?

Answers

Bye using the half life formula


Write the expression a 15 as a product of two exponents with the same base, one of
which equals:
a^6

Answers

Answer:

[tex]a^{6} a^{9} = a^{15}[/tex]

Step-by-step explanation:

is this the question ///

Write the expression a^15 as a product of two exponents with the same base, one of which equals: a^6

if so ...

[tex]a^{6} a^{9} = a^{15}[/tex]

Can someone help me please ?

Answers

Answer:

I would say D is your answer

Step-by-step explanation:

Answer:

the fourth one

use mathaway its like my best friend for math!!!

Step-by-step explanation:

Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line?

Answers

Answer:

The third option with the right angle

Step-by-step explanation:

By creating a perpendicular line through the line of reflection (the orange dotted line) and the point "D" we can measure the distance of D from the line of reflection. Then draw "D'" using the distance of the "D" from the line of reflection.

if there are about 5,000.00 red blood cells in every one cubic millimiter of mrs. garcias blood and there are about 4,600,00 cubic millimiter of blood in her body. How many red blood cells does mrs. gracia has in her body?

Answers

Answer:

Step-by-step explanation:

The slope of the line is:
A. -6
B.
C. O
D. Undefined

Answers

Answer:

The slope is undefined

Step-by-step explanation:

Since x doesn't have an existing value it leaves the slope as undefined.

Which of the following is an example of a quadratic equation?
O A. X+10 - 33
O B. y - 4x+6
OC. x2-64-0
O D. V-746

Answers

Hello!

Answer: C. x² - 64 - 0

Good luck! :)

Use a double-angle or half-angle identity to find the exact value of each expression

Answers

If 180° < θ < 270°, then 90° < θ/2 < 135°, which places θ/2 in the second quadrant so that sin(θ/2) > 0 and cos(θ/2) < 0.

Recall that

cos²(θ/2) = (1 + cos(θ))/2

==>   cos(θ/2) = -√[(1 + (-15/17))/2] = -1/√17

and

sin²(θ/2) = (1 - cos(θ))/2

==>   sin(θ/2) = +√[(1 - (-15/17))/2] = 4/√17

Then

tan(θ/2) = sin(θ/2) / cos(θ/2)

… = (4/√17) / (-1/√17)

… = -4

Naglakad si Ruben ng 900 sentimetro samantalang si Jaime ay naglakad ng
10 na metro. Gaano kalayo ang pagitan ng nalakad ni Jaime kay Ruben sa
sentimetro?
a. 200 cm c. 300 cm
b. 100 cm d. 250 cm

Answers

Sagot:

100 cm

Hakbang-hakbang na paliwanag:

Kung ganoon :

Distansya na sakop ng Ruben = 900 centimetri

Distansya na sakop ng Jamie = 10 metro

Pagko-convert sa centimeter:

100 cm = 1 m

x cm = 10 m

Paggamit ng multiplikasyon ng krus:

x = 100 * 10

x = 1000 cm.

Dahil dito Distansya ni Jamie = 1000 cm

Distansya sa pagitan ng Jamie at Ruben;

1000 cm - 900 cm = 100 cm

Find DC, given that line AD is the angle bisector of

Answers

It might be 21 but I’m not 100 percent sure, maybe.

(05.05) Which scenario best matches the linear relationship shown in the table?
Weeks Dollars
0 10
2 20
4 30
6 40
• Shanna had $10 in her piggy bank and earned $10 each week in allowance.
• Shanna had $10 in her piggy bank and earned $5 each week in allowance.
• Shanna had $10 in her piggy bank and spent $5 each week on stickers.
• Shanna earns $10 each week.

Answers

Answer:

• Shanna had $10 in her piggy bank and earned $5 each week in allowance.

Step-by-step explanation:

Week 0 dollars = 10

This means Shanna had $10 her piggy bank before the week started

Week 2 dollars = 20

Her account has increased from 10 to 20 dollars in two weeks. This means she is earning

Amount earned per week = change in earnings / change in week

= 20 dollars - 10 dollars / Week 2 - week 1

= 10 dollars / 2 weeks

= 5 dollars per week

Amount earned per week = $5

Therefore,

• Shanna had $10 in her piggy bank and earned $5 each week in allowance

Answer:

option b

Step-by-step explanation:

cuz its the only one that makes sense

help pls with explanation!!!

Answers

Answer:

18c - 30d + 36

Step-by-step explanation:

To apply the distributive property, we must "distribute" (multiply) the outer term by the terms in the parentheses. In this case, the outer term is 6, and the inner terms are 3c, 5d, and 6. Then, if there's any like terms, you must combine them.

6(3c - 5d + 6)

(6 · 3c) + (6 · -5d) + (6 · 6)

18c + -30d + 36

As you can see, there's no like terms in this expression, so the equivalent expression to 6(3c - 5d + 6) is 18c + -30d + 36.

Let’s think about another type of scenario. What if you were told that a bracelet requires 10 beads and 10 minutes to make while a necklace requires 20 beads and takes 40 minutes to make. The craftsman has 1000 beads to work with and he has 1600 minutes in which to work. If a bracelet costs $5 and a necklace costs $7.50, what is the maximum revenue that the craftsman can take in?

Answers

Answer:

$425

Step-by-step explanation:

Let x represent the number of bracelets made and let y represent the number of necklace made.

Since the craftsman has 1000 beads to work with, hence:

10x + 20y ≤ 1000    (1)

Also, the craftsman has 1600 minutes, hence:

10x + 40y ≤ 1600   (2)

From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).

Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:

Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic

Answers

Answer:

Independent means that one has no effect on the other. Exclusive means one cannot happen alongside the other. In simpler terms, independent events can be thought of as the chance it'll rain and how many people are flossing their teeth in the morning. Both happen, but neither one impacts the other.

Exclusive, on the other hand, means only one can happen. Lets say at nine in the evening your favorite show is on. However, you have an early morning and should be asleep by nine. You cannot both be asleep and watching your favorite show, and so these events are exclusive.

please help finding x ASAP

Answers

Angle 2 and Angle 4 are same-side interior angles, which are supplementary.

(2x + 10) + (4x + 80) = 180

6x + 90 = 180

6x = 90

x = 15

Hope this helps!

Answer:

X = 15

Step-by-step explanation:

Angle 2 = Angle 3 since they are alternate angles

Now, angle 3 and 4 should add up to 180 since they are on a straight line

∴ (2x + 10) + (4x + 80) = 180

   6x + 90 = 180

     6x = 180 - 90

     6x = 90

       x = 15

HOPE THIS HELPS

Which of the following operations is true regarding relative frequency distributions? Multiple choice question. No two classes can have the same relative frequency. The relative frequency is found by dividing the class frequencies by the total number of observations. The sum of the relative frequencies must be less than 1. The sum of the relative frequencies is equal to the number of observations.

Answers

Answer:

The relative frequency is found by dividing the class frequencies by the total number of observations

Step-by-step explanation:

Relative frequency measures how often a value appears relative to the sum of the total values.

An example of how relative frequency is calculated

Here are the scores and frequency of students in a maths test

Scores (classes)              Frequency                Relative frequency

0 - 20                                10                               10 / 50 = 0.2

21 - 40                               15                               15 / 50 = 0.3

41 - 60                               10                               10 / 50 = 0.2

61 - 80                                5                                 5 / 50  = 0.1

81 - 100                             10                                10 / 50 = 0.2

                                          50                                               1

From the above example, it can be seen that :

two or more classes  can have the same relative frequencyThe relative frequency is found by dividing the class frequencies by the total number of observations. The sum of the relative frequencies must be equal to one The sum of the frequencies and not the relative frequencies is equal to the number of observations.

Second time I’ve posted this. Please help!! :)

Answers

Answer:

-2 is an extraneous solution because it creates 0 in the denominator.

There is one acceptable solution to the equation

Step-by-step explanation:

x² + 5x + 6 = x² + 2x + 3x + 6

                  = x(x + 2) + 3(x + 2)

                  = (x + 2)(x + 3)

[tex]\frac{x}{x+2}+\frac{2}{x^{2}+5x+6}=\frac{5}{(x+3)}\\\\\frac{x}{x+2}+\frac{2}{(x+2)(x+3)}=\frac{5}{(x+3)}\\\\\frac{x*(x+3)}{(x+2)(x+3)}+\frac{2}{(x+2)(x+3)}=\frac{5*(x+2)}{(x+3)(x+2)}\\\\\frac{x^{2}+3x+2}{(x+2)(x+3)}=\frac{5x+10}{(x+3)(x+2)}\\\\[/tex]

x² + 3x + 2 = 5x + 10

x² + 3x - 5x + 2 - 10 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

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

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

x +2 = 0    or x - 4 = 0

x =  - 2    or x = 4

What set of reflections would carry trapezoid ABCD onto itself?

y=x, x-axis, y=x, y-axis
x-axis, y=x, x-axis, y=x
y-axis, x-axis, y-axis
x-axis,y-axis,y-axis

Answers

2.

Explain y axis 4/5

help plsss

If d = c-b / a-n , then wbat is the value of b?
A) c-d / a-b
B) ca-d / ca+d
C) c-ad / 1-d
D) c+ad / d-1

Answers

help plsss

If d = c-b / a-n , then wbat is the value of b?

B) ca-d / ca+d

Can someone help me with this math homework please!

Answers

The answer to your question is the third one

Answer:

The third table

Step-by-step explanation:

When a function decrease over a interval, the numbers between the interval and the latest interval included must be lesser than the original first interval.

In other words, the y value for -2 must be greater than the numbers between 0 and -2 in order for the interval be decreasing.

The third table show that

ASAPppppppppppppppppp

Answers

Answer:

9/16

Step-by-step explanation:

3/8 ÷ 2/3

Copy dot flip

3/8 * 3/2

Multiply the numerators

3*3=9

Multiply the denominators

8*2 = 16

Numerator over denominator

9/16

find the slope of the line for each pair of points (2, -10) (8, -16)

Answers

Answer:

-1

Step-by-step explanation:

We can use the slope formula since we are given two points

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

    = (-16- -10)/(8-2)

   = (-16+10)/(8-2)

   = -6/6

   = -1

A parabola can be represented by the equation y2 = 12x.
Which equation represents the directrix?
O y=-3
O y=3
O X=-3
O x= 3

Answers

Answer:

It's C

X = -3

Step-by-step explanation:

Edge 2022

The equation represents the directrix is x=-3.

the correct option is (C).

what is directrix in parabola?

A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

given: y²=12x

y²=4*3*x

Here a=3

So, x+a=0

x+3=0

x=-3.

Hence, the directrix of parabola is: x=-3

Learn more about directrix here:

https://brainly.com/question/4333610

#SPJ2

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cupsss

Answers

Answer:

158.33 minutes = 2.63 hours

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

Answer:

A ; B ; D

Step-by-step explanation:

(3+1)/12 = 1/3 (ok)

(-5+1)/-2 = -4/-2 = 2 (ok)

(1+1)/-3 = -2/3 (no)

(15+1)/1 = 16 (ok)

(-2 + 1)/5 = -1/5 (no)

2r + st^2 - u, if r = 4, s = 6, t = 3, and u = 12

Answers

Answer:

320

Step-by-step explanation:

r = 4, so 2 x 4 = 8.

s = 6 and t = 3, so 6 x 3 = 18. 18 squared is 324.

u = 12, so 8 + 324 - 12, which equals 320.

Answer:

50

Step-by-step explanation:

2r + st^2 - u
2(4) + (6)(3)^2 - (12)
(8) + (6)(9) - (12)
(8) + (54) - (12)
62 - 12
50

Final answer: 50
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