There is no solution to the following system of equations.
x < 3
y > 3
True
False
Answers
Answer:
True
Step-by-step explanation:
We are given that system of equation
x<3
y>3
We have to find that there is no solution of system of equation is true or not.
First we change inequality equation into equality equation
x=3
y=3
When x=0
0<3
It is true equation therefore, the shaded region towards the origin.
When y=0
0>3
It is false equation. Therefore, the shaded region above the origin.
From the graph
There is no solution of system of equation.
Hence, option true is correct.
Related Questions
According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92
Answers
Answer: B. 4.11
Step-by-step explanation:
Using Binomial distribution ( as the arrival times of workers are independent).
Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.
As per given ,
p= 0.06, n=300
Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]
[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]
Hence, the correct option is B.
Rewrite in simplest rational exponent form √x • 4√x
Answers
Answer:
4x
Step-by-step explanation:
[tex]\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x[/tex]
[tex]given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x[/tex]
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter.
Answers
Given:
Kiosk is the combination of a cylinder and a cone.
Diameter of cylinder and cone = 5 m
Height of the cylinder = 3 m
Height of the cone = 2 m
To find:
The volume of the kiosk.
Solution:
We know that the radius is half of the diameter. So,
Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m
= [tex]2.5[/tex] m
Volume of the cylinder is:
[tex]V_1=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get
[tex]V_1=(3.14)(2.5)^2(3)[/tex]
[tex]V_1=(3.14)(6.25)(3)[/tex]
[tex]V_1=58.875[/tex]
Volume of a cone is:
[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius and h is the height of the cone.
Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get
[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]
[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]
[tex]V_2\approx 13.083[/tex]
The volume of the kiosk is the sum of volume of cylinder and the volume of cone.
[tex]V=V_1+V_2[/tex]
[tex]V=58.875+13.083[/tex]
[tex]V=71.958[/tex]
[tex]V\approx 72[/tex]
Therefore, the volume of the kiosk is 72 cubic meter.
¿En que orden se deben escribir las funciones, para aplicar la integral definida cuando se desea calcular el área?
Answers
Answer:
Si querés calcular el área entre las funciones f(x) y g(x) en el rango (a, b), usualmente se calcula la integral de la función más grande en el intervalo menos la función más pequeña en el intervalo, es decir, si:
f(x) > g(x) para todo x ∈ (a, b)
Entonces calculamos:
[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]
Puesto que el área se define como la encerrada por las dos curvas, y si lo hiciéramos de otro modo, las curvas no encerrarían ningun área.
Ahora, si no se cumple lo anterior, es decir, g(x) > f(x) en algún dado intervalo, entonces separamos la integral en distintas partes de tal forma que siempre definamos un área positiva.
es decir, si:
f(x) ≥ g(x) para x ∈ (a, n)
g(x) ≥ f(x) para x ∈ (n, b)
entonces el área estará dada por:
[tex]\int\limits^n_a {f(x) - g(x)}dx \, +\int\limits^b_n {g(x) - f(x)} \, dx[/tex]
PLEASE HELP FAST WILL GIVE BRAINLIEST!!!!!!!!
Answers
Answer:
D. 32
Step-by-step explanation:
hope this helps
Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to arrive at 2:00 PM. They asked Hank to be sure to have his pool drained before they arrive. It is currently 8:00 AM Will Hank have the pool drained in time? The dimensions of the pool are 2m deep, 10m long, and 8m wide. Water can be drained at a rate of 130 gallons per minute.
Answers
Answer:
The answer to the question: "Will Hank have the pool drained in time?" is:
Yes, Hank will have the pool drained in time.Step-by-step explanation:
To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:
Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")Available time = 360 minutesNow we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:
Volume of the pool = Deep * Long * WideVolume of the pool = 2 m * 10 m * 8 mVolume of the pool = 160 m^3Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:
1 m^3 = 264.172 galNow, we use a rule of three:
If:
1 m^3 ⇒ 264.172 gal160 m^3 ⇒ xAnd we calculate:
[tex]x = \frac{160 m^{3}*264.172 gal }{1m^{3} }[/tex] (We cancel the unit "m^3)x = 42267.52 galAt last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:
Time to drain the pool =[tex]\frac{42267.52gal}{130\frac{gal}{min} }[/tex](We cancel the unit "gallon")Time to drain the pool = 325.1347692 minutesTime to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.
Covert 11 pints to fluid ounces plz
Answers
Answer:
176
Step-by-step explanation:
11 pints is 176 US fluid ounces
Use technology to find the line of best fit for the following data.
(1, 0), (2, 3), (3,1), (4,4), (5,5)
When the equation of the line is in the form y=mx+b, what is the value of **b**?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5
Answers
Given:
The data points are:
(1, 0), (2, 3), (3,1), (4,4), (5,5)
To find:
The equation of best fit line in the form of [tex]y=mx+b[/tex] and then find the value of b.
Solution:
The general form of best fit line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope of best fit line and b is the y-intercept of the line.
Using the graphing calculator, we get the equation for the best fit line and the equation is
[tex]y=1.1x-0.7[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]b=-0.7[/tex]
Therefore, the value of b is equal to -0.7.
4x²+6X+9
Factorizar
Answers
not factorable
2x(2x+3)+9
That’s the only the factorization which is available so i hope this answers your question and with you the best!!
factorize, completely each of the following expression
1-4h^2
Answers
Answer:
(1 + 2h)(1 - 2h)
Step-by-step explanation:
[tex]1 - 4h^2 = 1 ^2 - (2h)^2[/tex]
[tex]=(1 - 2h)(1 + 2h)[/tex] [tex][ \ a^2 - b^2 = (a - b)(a+b) \ ][/tex]
Which is an equation of a direct proportion?
A: y=16x+6
B: y=6x
C: y=6x−6
D: y=6x
Answers
Answer:
B) y=6x
Step-by-step explanation:
A rectangular dog pen is constructed using a barn wall as one side and 63 m of fencing for the other three sides what is the maximum area of the dog pen
Answers
Evaluate the function f(x) = 3x2− 2x for x= 4.
The value of the function f(x) = 3x2− 2x for x= 4 is _ .
Answers
Answer:
40
Step-by-step explanation:
f(4) = 3(4²) - 2(4)
= 3(16) - 8
= 48 - 8
= 40
when x=4, f(x) = 40
pls help me wit this asap
Answers
Answer:
not sure but I think the answers c
WILL GIVE BRAINLIST
MATH
WRITE THE SEQUENCE AS AN EQUATION USE X TO REPRESENT “ a number “
Six times the difference of 11 and a number is -72.
Answers
6×11-x= -72
Step-by-step explanation:6×11-x= -7266-x= -72-x= -72-66-x=-138x=138checking:6×11-138= -7266-138= -72-72= -72hope you understood it please mark me as brainliest
Substitute w = 4 into the following expression
10 – 4w
Answers
Answer:
-6
Step-by-step explanation:
Substitute as in replace "w" with 4
10-4(4)
Multiply -4 and 4
-16
10-16=-6
Hope this helps
Answer:
-6 it wouldnt let me post this without having 20 letters in my answer
Step-by-step explanation:
10 - 4*4 = -6.
A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent?
Answers
Answer: The surface of the ocean
Answer: It represents being at the surface
Negative values are below the surface, while positive values are above the surface.
In other words, -9 means 9 feet below sea level. The value 0 is at sea level. Something like 12 means you're 12 feet above sea level.
Find the diameter, given the circumference of a circle is 40.035 cm.
Answers
Answer:
12.75
Step-by-step explanation:
c = π x d
40.035= 3.14 x d
40.035/3.14 = 12.75
please help me with this i really need it, thank you!
Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.
Answers
The soccer field is 5 miles from home in a straight line (=sr(3^2 + 4^2))
Plus the 8 miles to the library
Answer:
13 miles
Step-by-step explanation:
the distance from the soccer field to the library is 8 miles
the distance between home and soccer field is a hypotenuse, use Pythagorean theorem to find the distance.
[tex]a^2+b^2=c^2\\\\4^2+3^2=c^2\\\\16+9=c^2\\\\c^2=25\\\\c=5[/tex]
the distance is 5 miles
5 + 8 = 13 miles total
A rectangle has horizontal sides of 3(x-2)ft and vertical sides of 4x-7+(-2x)ft. Find the value of x so that the rectangle of x has a perimeter of 34 ft.
Answers
Answer:
x = 6
Step-by-step explanation:
Perimeter of the rectangle = 34 ft
Length of the rectangle = 3(x-2) ft
Width of the rectangle = 4x-7+(-2x) ft
= 4x - 7 - 2x
= 2x - 7 ft
Perimeter of a rectangle = 2(length + width)
34 = 2{3(x-2) + 2x - 7 }
34 = 2{3x - 6 + (2x - 7)}
34 = 2(3x - 6 + 2x - 7)
34 = 2(5x - 13)
34 = 10x - 26
34 + 26 = 10x
60 = 10x
x = 60/10
x = 6
Length of the rectangle = 3(x-2) ft
= 3(6 - 2)
= 3(4)
= 12 ft
Width of the rectangle = 2x - 7 ft
= 2(6) - 7
= 12 - 7
= 5 ft
Simplify the expression. –(10)–2
100
–100
Answers
Answer:
-12, 0
Step-by-step explanation:
Pls need help in test
A fruit stand has to decide what to charge for their produce. They charge $8 for 4 apples and 4 oranges. They also charge $10 for 6 apples and 4 oranges. If we put this information into a system of linear equations, can we find a unique price for an apple and an orange?
A. Yes; they should charge $1.00 for an apple and $1.50 for an orange.
B. Yes; they should charge $1.00 for an apple and $1.00 for an orange.
C. No; the system has many solutions.
D. No; the system has no solution.
Answers
i think its C.No;the system has many solución
Answer:
thanks the quark is w wl1pp39iejbs sthe akwyve s akw9u27 2babe
Can someone help me?
Answers
B. [tex] \sqrt{x} + \sqrt{x - 1} [/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \\ \\= \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \times \frac{ \sqrt{x} + \sqrt{x - 1} }{ \sqrt{x} + \sqrt{x - 1} } \\ \\ = \frac{ \sqrt{x} + \sqrt{x - 1} }{ ({ \sqrt{x} })^{2} - { (\sqrt{x - 1} })^{2} } \\\\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{x - (x - 1)} \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{ x - x + 1} \\ \\= \sqrt{x} + \sqrt{x - 1} [/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Solve for X. Answer as a decimal.
Answers
Answer:
2
Step-by-step explanation:
PLS HELP THIS IS DUE TODAY
Answers
Answer:
Draw a C plane and plot the dots if the coordinates
Answer:
it's a triangle draw the chart
What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?
Answers
Answer:
a=18-3 and b=32÷8
Step-by-step explanation:
the first one
Two angles of a triangle are 120° and 6° What is the measure of the third angle?
Answers
Answer: 54
The angles of a triangle add up to equal 180.
Since we already know two angles, we can just use simple math to find the third.
120 + 6 = 126
180 - 126 = 54
Answer:
54°
Step-by-step explanation:
A triangle ALWAYS measure a 180° Angle in total so if the first and second angle is 120° and 6°, just add it together and will form a 126° Angle so subtract it to 180° Angle and it will result in a 54° Angle
Thank you and please mark me as brainliest ^^
Express sin T as a fraction in simplest terms.
Answers
Answer:
sinT = [tex]\frac{15}{17}[/tex]
Step-by-step explanation:
We require to calculate RT before obtaining sinT
Using Pythagoras' identity in the right triangle
RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )
RT = [tex]\sqrt{1156}[/tex] = 34 , then
sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{30}{34}[/tex] = [tex]\frac{15}{17}[/tex]
Translate; a)A man's age 2 years ago b) the product of y and z
Answers
Step-by-step explanation:
a. represent the man's current age by n. Two years ago his age was n - 2.
b. Multiplication of n by the product of y and z would be (y×z)×n.
22 dividido en 3 es?
Answers
Answer:
Step-by-step explanation:
7.3
Answer:
7.3
Step-by-step explanation:
22/3 = 22/3
(Decimal: 7.333333)