As per the system of equation, a. 3y = -12x + 6 l y= -4x+ 2 has infinite number of solutions.
The rule to identify the number of solutions to the system of equation is written as,
In the given equation (a1/a2) ≠ (b1/b2), then there will be a unique solution.
Where as If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions.
Finally If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution.
Here we have given that pair of equations to show if the system has no solution, one solution, or infinitely many solutions.
Here we have to take the first equation
a. 3y = -12x + 6 l y= -4x+ 2
Now, we have to write it in the standard form, then we get,
=> 12x + 3y = 6, 4x + y = 2
Here the values of a1 = 12, b1 = 3, c1 = 6 and the values of a2 = 4, b2 = 1 and c2 = 2.
When we take the rule of system of equation we have identified that
=> 12/4 = 3/1 = 6/2
=> 3/1 = 3/1 = 3/1
Therefore, this one has the infinite number of solution.
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HELPPP ROUND TO THE NEAREST TENTH
Find (3c2 - 8c + 5) + (c2 - 8c - 6).
A
3c2 - 1
B
4c2 - 16c - 1
C
2c2 - 16c - 1
Answer: B
4c^2 - 16c - 1
Step-by-step explanation:
(3c2 - 8c + 5) + (c2 - 8c - 6).
remove parantheses.
3c2 - 8c + 5 + c2 - 8c - 6
add common factors
answer= 4c^2 - 16c - 1
six subtracted from the product of three and a number is greater than or equal to -24
Answer:
6 - 3x [tex]\geq[/tex] -24
Step-by-step explanation:
A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
A. $18.30
B. $17.33
C. $17.46
D. $17.50
Answer:
b
Step-by-step explanation:
May someone please help me with this :)
Answer:
i was taught this but i dont remember so I dont know if I can help sorry bud
make x the subject of the formula y=2x+4
Answer:
X= y/2-2
Step-by-step explanation:
Well to isoalte x just do the same thing you would do for y,
Isolate the numbers without a variable buy subtravting 4 on each side.
y-4=2x
Now isolate 2 and x by divide 2 on both sides
y/2-2=x
This can be determined by the simple mathematical concepts. Therefore the value of x is, [tex]\bold{x=\dfrac{y-4}{2} }[/tex] the subject of he formula y=2x+4.
Given that the subject of the formula y=2x+4.
We have to find x.
According to the question,
To obtained the value of x by the given formula
i.e. y = 2x+4 .....(1)
Now the value of x is from the above equation (1)...
[tex]\bold{x=\dfrac{y-4}{2} }[/tex]
Hence, the value of x , [tex]\bold{x=\dfrac{y-4}{2} }[/tex] makes x the subject of the formula y=2x+4.
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answer question plsss and explain
Answer:
36 is the final
Step-by-step explanation:
4(5)+8(2)
20+16
36
The weight limit for suitcase is 23 kg. You want to make sure that you will not be charged baggage fees on your flight back. What is the weight limit in pounds? 1 kg = 2.2 pounds.
Answer:
33lbs
Step-by-step explanation:
Find the cardinal number of the indicated set. Use the cardinal number formula.
F4) If n(A) - 10, n(
AB) = 28, and n(AB) = 6, find n(B).
A) 24
B) 18
C) 25
D) 23
Find the cardinal number
What is the center of the circle and radius defined by the following equation?
x2+y2+4y=5
Answer:
Step-by-step explanation:
Alternate forms:
x^2 + y (y + 4) = 5
x^2 + y^2 + 4 y - 5 = 0
Solutions:
y = -sqrt(9 - x^2) - 2
y = sqrt(9 - x^2) - 2
Integer solutions:
x = ± 3, y = -2
x = 0, y = -5
x = 0, y = 1
Implicit derivatives:
(dx(y))/(dy) = -(2 + y)/x
(dy(x))/(dx) = -x/(2 + y)
HELP WITH THESE QUESTIONS ILL GIVE OUT BRAINLEST
Answer:
#3 is b
#4 is also b
Step-by-step explanation:
Which is shown below?
12 > 11
A. An operation
B. An inequality
C. An expression
D. An equation
SUBMIT
Answer:
B Inequality
Step-by-step explanation:
since 12 is greater than 11 they are not equal
> this sign is the greater than sign
A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If we start observing the piston at its maximal height, find an equation modelling the height, h, t seconds from the initial observation.
Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
1. What is the minimum value of y in the graph below
y
Answer:
-1
Step-by-step explanation:
help please thank you
Answer:
C
Step-by-step explanation:
Take sides AD and MP.
6 in. in ADCB is 3/2 * 4 in. in MPON
The diameter from the outer edge of the rubber of my old tires to the center of the tire is 76cm (30inches). What is the circumference of the tires?
Answer:
The circumference of the tires is of 94.25 inches.
Step-by-step explanation:
Circumference of a circle:
The circumference of a circle, with radius measuring r, is given by:
[tex]C = 2\pi r[/tex]
In which the radius is half the diameter.
In this question:
Diameter of 30 inches, so the radius is 30/2 = 15 inches.
The circumference is:
[tex]C = 2\pi (15) = 30\pi = 94.25[/tex]
The circumference of the tires is of 94.25 inches.
PPPPPPPPPPPPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP I NEED ALL 3 QUESTIONS ANSWERED
Substitution
x+5y=13, 4x+7y=0
PLEASE HELP MEE<3
Step-by-step explanation:
x+5Y=13...... 1
4x +7y=0..... 2
from eqn 1
x =13-5y
substitute into eqn 2
[tex]4(13 - 5y) + 7y = 0[/tex]
52-20y +7y=0
52-13y=0
52=13y
y=52÷13
y=4
substitute Y into eqn 2
x +5y=13
x + 5(4)= 13
x+ 20=13
x=13-20
x=-7
Classify the graph.
A?
B?
C?
D?
Answer:
linear
Step-by-step explanation:
you can tell its linear bc its in a straight line
hope this helps <3
There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Complete question :
There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Answer:
1 /9
Step-by-step explanation:
Capacity of container = 3 gallons
Amount of gallons in container = 1/3 gallon.
Fraction of water in container:
Division equation :
Amount of gallon in container / capacity of container
1 /3 ÷ 3 = 1/ 9
Multiplication equation :
1/3 of 1 gallon
Capacity of container = 3 gallons
1/ 3 * inverse of 3
1/3 * 1/3 = 1/9
What is the slope of y = -x + 7?
Answer:
The slope is -1
Step-by-step explanation:
The slope is always the number in front of the x.
Write an equation of the line that passes through the points (-2,-7) and (0,-4).
Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) point - slope form of a line.
y = mx + b slope- intercept form of a line.
~~~~~~~~~~~~~~~~~
( - 2, - 7 )
( 0, - 4 )
m = [tex]\frac{- 4 - (-7)}{0 - (- 2)}[/tex] = [tex]\frac{3}{2}[/tex]
y - ( - 4 ) = [tex]\frac{3}{2}[/tex] ( x - 0 )
y + 4 = [tex]\frac{3}{2}[/tex] x
y = [tex]\frac{3}{2}[/tex] x - 4 slope- intercept form
3x - 2y = 8 standard form
The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots. Which statement is true regarding these data sets?
Answer:
C lul
Step-by-step explanation:
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(The majority of the members in each club are between 15 and 17 years old.)
PLEASE HELP FOR MATH!!!!
230 Just add and divide
Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in 1/2 hours?
A. 6 1/2
B. 6 3/4
C. 5 3/4
D. 5 1/4
Answer:
D
Step-by-step explanation:
21/2 = 10.5
10.5 x .5 = 5.25 = 5 1/4
The answer is D.
What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
A) 5/2 and 25/4
B) 5/2 and 7/4
C) 7/2 and 25/4
D) 7/2 and 7/4
Given:
Base of the larger figure = 30 yd
Base of the smaller figure = 12 yd
To find:
a) The ratio of the perimeters of the larger figure to the smaller figure.
b) the ratio of the area of the larger figure to the smaller figure.
Solution:
a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.
The given figures are similar. So, the ratio of the perimeters is:
[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]
b) The ratio of area of similar figures is equal to the ratio of squares of their sides.
[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]
[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]
Therefore, the correct option is A.
A blade of a windmill completes 1 rotation every 4 seconds. The outer end of the blade travels 600 feet in 1 rotation. What is the speed of the outer end of the blade in feet per minute?
NEED ANSWERS ASAP
Answer:
900 feet per minute
Step by step solution:
I did 60÷4 then it is 15 so 600*15 is 9000
Hope i am right...
please help!!!!
polygon MNOPQ is dilated by a scale factor of 5.4 with point M as the center of dilation to form the image M’N’O’P’Q’. compare NO and N’O’. N’O’ ____ through point M. the slopes of N’O’ and NO are ____
the first blank answer choices are: passes, or does not pass
the second blank answer choices are: the same, or different
Right I needed help on this
Write the equation that describes the following variation. Don't forget "k"!
x varies directly with the square rootſofy and inversely with the square of w and the
cube root of z
Answer:
x=(k√x)/(w^2)(cube√z)
x varies directly with square root of y is:
x = k √y
And inversely with the square of w and cube root of s is:
/(w^2)(cube√z)
Now put those together:
x=(k√x)/(w^2)(cube√z)
The formula is:
x=ky/wz but add the specific info like square, roots, or etc
Sam has worn a green shirt on 10 of the last 20 days. Considering this data, how many times
would you expect Sam to wear a green shirt in the next 12 days?
Answer quickly
I think it is 6 because 10 is half of 20 so 6 is half of 12
Sam should wear green shirt for 6 days in next 12 days.
What is fraction?Fraction is a number that represent part of a whole quantity. It has two parts, numerator and denominator, the number above the horizontal line is numerator, and number under the the line is denominator.
Given,
Sam wore green shirt on 10 of the last 20 days
Fraction of days the wearing green shirt to total days = 10/20 = 1/2
Number of days of wearing green shirt in next 12 days
= 12 × 1/2
= 6 days
Hence, in next 12 days, Sam should wear green shirt for 6 days.
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