Solving the quadratic function, it is found that the range is of:
between 200 and 250; inclusive
The profit for x tours is modeled by the following equation:
[tex]p(x) = -2x^2 + 900x - 40000[/tex]
It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:
[tex]60000 = -2x^2 + 900x - 40000[/tex]
[tex]2x^2 - 900x + 10000 = 0[/tex]
Simplifying by 2:
[tex]x^2 - 450x + 50000 = 0[/tex]
Which has [tex]a = 1, b = -450, c = 50000[/tex]
Then:
[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]
[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]
[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]
At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:
between 200 and 250; inclusive
A similar problem is given at https://brainly.com/question/25181401
At 1 p.m., there were 257 visitors in the museum.
Use function notation to represent this statement:
At 1 p.m., there were 257 visitors in the museum.
Answer: V(4)=257
Explanation: It says that the Museum opens at 9 so it would be 4 hours. And the 257 is the number of visitors at that time.
What is m<M?
no links please!!!!
Answer:
m<M is 98°............
Please provide the answer for the x and z as seen in the image
i need serious help guys!!!!!!
Answer:
b.
Step-by-step explanation:
which is colder -3°c or -2°c
Answer:
-2 is colder
Step-by-step explanation:
Becuase when you get to the negative the Closest number to 0 is greater which means -2 is closer to 0 which makes it colder.
(Hope this helps can I pls have brainlist (crown)☺️)
Chef Tashariah is cooking for a Sunday brunch she knows that 22 pancakes can feed 8 people
Answer: 22 people
Step-by-step explanation:
we can solve the problem by setting missing
Please help me thanks a lot
Answer:
C
Step-by-step explanation:
Plot your point at (-9,0) then draw your line with your slope (plot some other points first). Using algebra rearrange your y=mx+b formatted equation.
y=-5/3x-15, 3y = -5x - 45, 5x + 3y = -45
h(x)=3x+3 g(x)=-4x+1 find (h+g)(10)
Answer:
-6
Step-by-step explanation:
h(x)=3x+3
g(x)=-4x+1
(h+g)(x) = 3x+3 -4x+1 = -x+4
(h+g)(10) = -(10)+4 =-6
There are 75 students enrolled in a camp. The day before the camp begins, 8% of the students cancel. How many students actually attend the camp?
Answer:
Answer=69
Step-by-step explanation:
8% of 75=6
75-6=69
A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds?
Rates of change are the change of a quantity over another.
The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
The given parameters are:
[tex]\mathbf{A = |5|}[/tex] -- the amplitude
[tex]\mathbf{T = \frac 13}[/tex] --- the period
The position of the mass is modeled by:
[tex]\mathbf{y= Acos(wt)}[/tex]
Where:
[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]
So, we have:
[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]
[tex]\mathbf{w = 6\pi }[/tex]
[tex]\mathbf{y= Acos(wt)}[/tex] becomes
[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]
[tex]\mathbf{y = 5cos(6\pi t)}[/tex]
Differentiate
[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]
[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]
When t = 2.1, we have:
[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]
[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]
[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]
[tex]\mathbf{y' = -89.6296}[/tex]
Approximate
[tex]\mathbf{y' = -89.6}[/tex]
Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
Read more about rates at:
https://brainly.com/question/15579510
You should know the __________ and ___________ of all safety equipment.
PLS HELP ME!!!!
The square root of the sum of 69 and 31 is an/a_____?
A.Rational Number
B.Irrational Number
C.Both rational and irrational
D.Neither rational nor irrational
Answer:
A. Rational number
Step-by-step explanation:
If you add both 69 and 31 it will give you 100. The square root of 100 is 10 and therefore it is a rational number
What is the value of this??
Answer:
[tex]18[/tex]
Step-by-step explanation:
The value of 7 (10 - 2³) + 8 ÷ 2 is 18.
[tex]7(10 - {2}^{3} ) + 8 \div 2 [/tex][tex]7(10(2 \times 2 \times 2)) + 8 \div2[/tex][tex]7(10 - 8) + 8 \div 2[/tex][tex]7 \times 2 + 8 \div 2[/tex][tex]14 + 4[/tex][tex]18[/tex]Hope it is helpful.....Which is greater 1.44 or 1.2544
Answer:
1.44
Step-by-step explanation:
Answer:
1.2544
Step-by-step explanation:
It is closer to 1 than the latter.
Plzzzz I need Helpppp!!!
Answer:
(8x+15)=(7x+17){ being alternative angle}
8x+15=7x+17
8x-7x=17-15
x=2
here,
8x+15= 8×2+15
16+15=31
7x+17
7×2+17
14+17
31
again
(8x+15)+y=180°( being straight angle)
31+y=180
y=180-31
y= 149
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
In the given figure, Angles (8x + 15) and (7x + 17) are equal
because they form pair of Alternate interior angles.
[tex]8x + 15 = 7x + 17[/tex][tex]8x - 7x = 17 - 15[/tex][tex]x = 2[/tex]So,
[tex]8x + 15[/tex][tex]( 8\times 2) + 15[/tex][tex]16 + 15[/tex][tex]31 \degree[/tex]now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°
[tex](8x + 15) + y = 180[/tex][tex]31 + y = 180[/tex][tex]y = 180 - 31[/tex][tex]y = 149 \degree[/tex]the graph of the equation y=2x-1 is shown in the coordinate plane.
wich lists contain only points that lie on the graph of y=2x-1?
A. (0,-1), (15,29), (2,3)
B. (2000, 1999), (3,5)
C. (-2,-3), (-5,-9), (0,0)
D. (-0.5, -2), (0.3, -0.4), (0.5, 0)
E. (1/4, -1/2), (4/5, 3/5)
Answer:
A, D, & E
Step-by-step explanation:
If you plug in the coordinates, they prove to be valid
(0, -1)
2(0) - 1
0 - 1 = -1
(15, 29)
2(15) - 1
30 - 1 = 29
(2, 3)
2(2) - 1
4 - 1 = 3
(-0.5, -2)
2(-0.5) - 1
-1 - 1 = -2
And so on. Just plug them in and see if it is correct.
The dimension of a cube are 3 x cm, 6xm 7xm. Then find the volume of the cube.
Answer:ce 6x^2=216
Step-by-step explanation:
since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216
[tex]\sf 19=7x-2x[/tex]
Answer:
[tex]3\dfrac{4}{5}[/tex]
Step-by-step explanation:
19 = 7x - 2x
19 = (7 - 2)x
19 = 5x
Divide both side by 5
19/5 = x
[tex]x=3\dfrac{4}{5}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of x is equal to ~
[tex] \boxed{3.8}[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex]19 = 7x - 2x[/tex][tex]5x = 19[/tex][tex]x = 19 \div 5[/tex][tex]x = 3.8[/tex]I need a answer PLEASE
Answer:
it's the third one. x=47/3
Step-by-step explanation:
if needed in decimal form: 15.666
mixed number form: 15 2/3
Como parte de un ejercicio topográfico, Salma debe hacer un registro del terreno donde está construido el Taj Mahal que es de 580m de largo x 300m de ancho. Y suponiendo que 9 ayudantes trabajarán junto con ella, ¿cuántos metros cuadrados le toca registrar a cada quién POR DÍA durante un mes? Supongamos que el mes tiene 30 días.
cual es la respuesta? porfa urge
Queremos ver cuantos metros cuadrados debe registrar cada integrante del grupo por día.
Veremos que cada integrante debe registrar 580m^2 por día.
La informacion que se nos da es:
Sabemos que los integrantes son 10, Salma y sus 9 ayudantes.El área que deben investigar esta dada por: 580m*300m = 174,000 m^2Disponen de un total de 30 días para trabajar.Conociendo el área y el número de integrantes, el área que le tocara a cada integrante está dada por:
a = 174,000 m^2/10 = 17,400 m^2
Y sabemos que tendran 30 días para registrar esa área, entonces asumiendo que en cada día registran una cantidad fija de superficie, lo que deben registrar cada día está dado por:
d = a/30 = 17,400 m^2/30 = 580m^2
Eso es lo que cada integrante debe registrar por día,
Sí quieres aprender más, puedes leer:
https://brainly.com/question/16512349
Can someone pls help me
18/24=0.75
?/80=.75
80x.75=?
?=60
5x+10=60
-10 -10
5x=50
/5 /5
x=10
sub x in for 10
10x5=50+10=60
C.X=10
Graph the linear equation y = -2x -1
(hope this helps) :)
Step-by-step explanation: in the picture
please give me a brainliest answer
Can someone help me :(( thank you so so much if u do <33:)
Answer:
13
Step-by-step explanation:
8-13=-5
Answer:
13
Step-by-step explanation:
8 - 13 = -5
that is your answer
Challenge A large university accepts 40% of the students who apply. Of the students the
university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
4,800 student's actually enroll.
Step-by-step explanation:
40% of 30,000 is 12,000.
40% of 12,000 is 4,800.
please please please help PLEASE PLEASE
Step-by-step explanation:
refer to the picture.. hope this helps :)
So, if the average family earned $4,000 per month, how much would they send back
out to pay debreach month
What kinds of things could you do with that money?
Guinea made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guinea use to find the length of side B?
Answer:
The answer is c: 1cm/3in = 3 cm/Xin
Step-by-step explanation:
If the length of overline AC equals 84, what is the length of the midsegment overline DE ?
A) 28
B) 32
C) 36
D) 42
Similar shapes may or may not be congruent
The length of DE is 42 units
The given parameters are:
[tex]\mathbf{AC = 84}[/tex]
[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint
The equivalent ratio is then represented as:
[tex]\mathbf{BD : DE = BA : AC}[/tex]
Substitute [tex]\mathbf{BA = 2BD}[/tex]
[tex]\mathbf{BD : DE = 2BD : AC}[/tex]
Express as fraction
[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]
Make DE the subject
[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]
[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]
Substitute 84 for AC
[tex]\mathbf{DE= \frac{84}{2 }}[/tex]
[tex]\mathbf{DE= 42}[/tex]
Hence, the length of DE is 42 units
Read more about similar shapes at:
https://brainly.com/question/20536565
The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?
A) $3.00
B) $21.00
C) $45.00
D) $90.00
Jaya is saving up for a computer.she babysits 3 days a week .however she spends $2 each day on gas to get there . If she makes a total of $84.00 in a week how much does she make babysitting each day
Answer:
28$
Step-by-step explanation:
She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.
