Select All the correct answers. Select all the statements that are true for the following systems of equations. System A 2x - 3y = 4 4xy18 System B 3x - 4y = 5 y = 5x + 3 System C 2x-3y и 4 12x-3y 54 System C simplifies to 2x-3y 4 and 4x y 18 by dividing the second equation by three. O Systems A and C have the same solution D Systems A and B have different solutions. Systems B and C have the same solution All three systems have different solutions.
Answer:
hi
Step-by-step explanation:
Answer:
The true statements are:
the first statement: Systems A and C have the same solution
the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18
the fifth statement: Systems A and B have different soltuoins.
Explanation:
1) The first statement: systems A and C have the same solutiotn: TRUE
The fourth statement proves that that the two systems are equivalent which means that both have the same solution.
2) The second statement: All three systems have different solutions: FALSE
The fourth statement proves that the systems A and C have same solution, so this second statement is false.
3) The third statement: Systems B and C have the same solution: FALSE
You can solve the two systems and will find the solutions are different
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2
=> solution x = -1 and y = -2
Solution of system C.
2x - 3y = 4
12x - 3y = 54
subtract
4) fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE
Look:
Second equation of system C = 12x - 3y = 54
Divide by 3:
12x - 3y 54
----------- = -----
3 3
Distributive property:
12x 3y
------ - ----- = 18
3 3
4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.
5) The fifth statement: systems A and B have different solutions: TRUE
You can solve the two systems and will find the solutions are different
Solution of system A:
2x - 3y = 4
12x - 3y = 54 since it is equivalent to 4x - y = 18
-------------------
12x - 2x = 54 - 4 subtracting the first equation from the secon
10x = 50 adding like terms
x = 5 dividing by 10
From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6
=> y = 6 / 3 = 2
=> x = 5, y = 2
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
Which is enough to prove that the two systems have different solutions.
find the slope of the line that passes through (10,-14) , (0, - 2)
Answer:
-6/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-14))/(0-10)
m=(-2+14)/-10
m=12/-10
simplify
m=-6/5
If 3+3 is 6 and 6 + 6 is 12... whats 500x - y
hi i have problems with some of my mathematic question if you are super good in maths pls kindly send a message or comment so we can work it out together ...thanks in advance
Answer:
yeah okay sure!
Step-by-step explanation:
PLEASE HELPPP
The points (5,12) and (20,48) form a proportional relationship. Find the slope of the line through the
points. Then use the slope to graph the line.
The slope is ___.
(Simplify your answer.)
Which graph represents this relationship?
(Photo Above )
Answer:6
Step-by-step explanation:
The first three terms of an arithmetic sequence are as follows.
37, 29,21
Find the next two terms of this sequence.
Answer:
13, 5
Step-by-step explanation:
First, we find the common difference.
d = 29 - 37 = -8
Now we add -8 to the last term to find the next term.
21 + (-8) = 13
13 + (-8) = 5
Answer: 13, 5
A set of 25 cards are shown.
what is the probability of choosing a card with a sheep on it?
Answer:
probability of choosing a card with a sheep on it will be 12.5 out of 25
Hope it helps
Please mark me as brainliest
Thank you
Direction: Name at least 2 examples of each of the following terms below from figure 2.
1.angle
2.line segment
3.ray
Answer:
1.acute angle
right angle
2.pencil
the edge of a table
3.a Ray from light
a Ray from sun
Answer:
Angle = LABC and LACD
Line segment = AB and DC
Ray = AB and CD
A dog ran along a fence 10 times. The fence is 5 feet 3 inches long. How far did the dog travel? (12 inches = 1 foot)
The whole distance travelled by the dog is 630 inches.
We shall now approach the question in the following steps;
First, we shall convert the length of the fence to inches using the conversion factor as shown in the question.
12 inches = 1 foot
x inches = 5 feet
x = 12 inches × 5 feet /1 foot
x = 60 inches
The total length of the fence is 60 inches + 3 inches = 63 inches
The dog ran round it ten times hence the total distance travelled = 10 * 63 inches = 630 inches
Learn more about distance travelled: https://brainly.com/question/1214027
Simplify:
1/2(2a + 4)
Answer:
I’m just putting this so the other guy can get marked brainiest
Step-by-step explanation:
Yw
Any idea. I have no clue. Thanks
Answer:
your answer should be B :)
Maths homework volumes anyone can help?
Answer:
1) Volume of cuboid =l * b*h9.7*1.8*2.5=43.65 2a =......Step-by-step explanation:
look at the diagram .the third is complete and the Instruction says they all have same volume so :2.5 *8*9 = 180.definitely the volume for each of the cuboid is 180. Volume of cubiod = l*b*ha)180 = 4*5*a 180 = 20a180/20 = 20a/20a= 9b) 180 = 6*6 *b 180 = 36b b= 180/36 b= 5 c) 180= 2.5 *9*c 180 = 22.5 *cc=180/22.5c=8 I don't know 3and 4pls mark me brainlest I need it dearlyi need help with this!!
Answer:
its 50
Step-by-step explanation:
Need help answer it in the bottom
Answer:
it depend
Step-by-step explanation:
i can edit this answer but-
do they mean that both objects together costs that much or does that mean that pens and pencils cost the same?
5,574 mg= how many grams?
Answer:
5.574 grams
Step-by-step explanation:
Answer:
The answer is 5.574 grams
Step-by-step explanation:
Please help ASAP! Will mark brainliest if correct!
Answer:
x equals 2 cm
PLEASE HELP> I NEED ANSWER ASAP. GEOMETRY
Answer:
Angle 4=82 degrees, then i think angle 1 and 3= 98 degrees
Step-by-step explanation:
Angle 2=Angle 4 and 180-82=98
1. Which of the following moving at the same speed, wouldbe hardest to stop?*
(12 points)
car
bus
Frisbee
stroller
Answer:
Bus
Step-by-step explanation:
If the bus has the most weight than the force it would edmit would be greater than any other
Evan makes cards numbered 1-18 and places them in a bag. What is the probability that he will pull out an even number, replace the card, then choose another even number?
Answer:
1-8
Step-by-step explanation:
Blank minus 1/10 equals 1/2
pls help! will mark brainliest if correct
I dont know what is it sorry but I try the love yaaysya
Please help I have tried so many times and no one helps me please
Answer:
m(arc)RST = 154 deg
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
x + 77 + x + 103 = 180
2x + 180 = 180
2x = 0
x = 0
m<RST = x + 77 = 0 + 77 = 77
The measure of an inscribed angle is half the measure of its subtended arc.
m<RST = (1/2)m(arc)RST
77 = (1/2)m(arc)RST
154 = m(arc)RST
m(arc)RST = 154 deg
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)t . What is the rate of decrease of original oxygen?
Answer:
24%
Step-by-step explanation:
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)^t . What is the rate of decrease of original oxygen?
The formula for Exponential Decrease is given as:
y = a(1 - r)^t
Where
y = Amount after time t
a = Original amount
r = Rate of decrease
t = Time
Comparing both Equations
y = 0.32(0.76)^t = y = a(1 - r)^t
We know that
0.76 = 1 - r
Solving for r
Collect like terms
r = 1 - 0.76
r = 0.24
Converting to Percentage
= 0.24 × 100
= 24%
Therefore, the rate of decrease of original oxygen is 24%
Factor the following...
[tex]9n^2-34n-8[/tex]
Please show work
Step-by-step explanation:
9x8= 72
therefore 36 x 2 are the products
9 n^2 - 36n + 2 n -8
9 n( n-4) + 2( n- 4)
therefore the two factors are
( 9 n +2) ( n-4)
find the lateral surface area of the prism below PLS ANWSER QUIC
Answer:
give me sec waitttttttt give me sec I think 16
Answer: 24
Step-by-step explanation:
Surface area of cube = 6 x side length x side length
Plug in 2 for side length
6 x 2 x 2 = 24
The Gupta family bought 2 adult tickets, 4 child tickets, and 1 senior citizen ticket for a total of $235
What is the price, in dollars, for each senior citizen ticket? Show your work or explain how you know
Answer:
1) Find the value of two numbers if their sum is 12 and their difference is 4. X+y=12 (4+4) + 4 = 12 x-1=4 - 24+4=12. X = 4th. 24 = 8 x=8. 8 and 4 ). 2) The difference of two ... 4) The school that Stefan goes to is selling tickets to a choral performance. ... the school sold 3 senior citizen tickets and 1 child ticket for a total of $38.
Step-by-step explanation:
I might just post the whole packet cuz I’m not smart enough to understand what the hecc is going on ;-;
Answer:
It would be the fourth choice.
can somebody help.................
Answer:
y=2x+2
Step-by-step explanation:
Answer:
y=2x+2 is the answer
Step-by-step explanation:
hope this helped!! :D
Please help me!! Thank you:)
In slope-intercept form, what is the equation of the line containing the points (−1, 2) and (2, −1)?
Answer:
y=-x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-2)/(2-(-1))
m=-3/(2+1)
m=-3/3
m=-1
y-y1=m(x-x1)
y-2=-1(x-(-1))
y-2=-(x+1)
y=-x-1+2
y=-x+1