Answers
9514 1404 393
Answer:
1. yes
2. no
Step-by-step explanation:
We can label the equations [1] and [2] to make the transformations to the equivalent system easier to describe.
1. The equivalent system is [1] +[2] and 2×[1]. Both of these are described as allowed transformations.
[1] +[2] is (-x +2y) +(-3x +9y) = (10) +(-15) ⇒ -4x +11y = -5
2×[1] is 2(-x +2y) = 2(10) ⇒ -2x +4y = 20
These resulting equations match the ones proposed for the equivalent system.
yes, the systems are equivalent
__
2. The first equation of the proposed "equivalent" system is [1] +[2]. The second equation has no relation to the equations of the given system.
[1] +[2] = (-2x +3y) +(-11x -13y) = (14) +(-6) ⇒ -13x -10y = 8
no, the systems are not equivalent
(This is also shown in the attached graph. The original system is in red; the "equivalent" system is in green. Equivalent systems have the same solution. These do not.)
Related Questions
Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?
A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards
Answers
Answer:
125
Step-by-step explanation:
First you want to find out the difference between Randy and Phil:
120 - 95 = 25
Then, multiply that by five:
25 × 5 = 125
Hope this helps
Answer:
Davis owns 125 cards
Step-by-step explanation:
120 - 90 = 25 x 5 = 125
what percent of 56.25$ is 11.25$
Answers
Answer:
3%percent of $375 is $11.25 and 20% of $56.25 is $11.25 .
Step-by-step explanation:
what is the solution to the system of equations?
A. (-7, -6)
B. (-6, -7)
C. (0, 2)
D. (2, -5)
Answers
Answer: B.
Step-by-step explanation:
Help please I need help on this problem,appreciate it :)
Rewrite (squareroot n^5 p^8)
as an exponential expression
Answers
Answer:
the answer is the option : D
What is the value of the expression (0.4)2
Answers
I need help I’m failing
Answers
Answer:
D
Divide both by 3
Step-by-step explanation:
B(3x -4) A(9x + 17) C(6x -31) solve for all angles
Answers
Answer:
11
Step-by-step explanation:
Don't worry I just know
y=(1/3)•(16)x
a.Exponential growth
b.Exponential Decay
Answers
Answer:
the answer should be A for this question
HELP ME ILL GIVE Yu 30 POINTS
Answers
Step-by-step explanation:
[tex]\tt{ 7+3×6-9 }[/tex]
[tex]\tt{ 7+18-9 }[/tex]
[tex]\tt{ 25-9 }[/tex]
[tex]\tt{16 }[/tex]
Answer:
[tex]7 + 3 \times 6 - 9 \\ = 7 + 18 - 9 \\ = 25 - 9 \\ = 16[/tex]
16 is the right answer.
if you have 1 ball and it takes 8 balls to move that 1 ball. How many balls will it taked to rotate back to the first ball?
Answers
Answer:
Step-by-step explanation: why do u need 8 balls to move 1 lolwut
2. You and 5 friends went out to eat at Little Italy.
The bill was split equally and each person paid
$13.26. Write and solve an equation to find the
amount of the total bill.
Answers
Answer:
13.26 * 6 =79.56
Step-by-step explanation:
There are 6 people and each paid 13.26 and 13.26x6=79.56
solve for x 8/x +1/5 = 3/x
Answers
Answer:
I think x=-25
Step-by-step explanation:
Meryl needs to cut down 10.5 trees for every 5 cabins she builds.
Complete the table using equivalent ratios.
Number of trees Number of cabins
10.5 5
__ 3
__ 7
Answers
Answer:
for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(
Answer:
3) 6.3
7) 14.7
Step-by-step explanation:
Use ratios to solve the table
10.5/5 = x/3
cross multiply
31.5 = 5x
x = 6.3
10.5/5 = x/7
73.5 = 5x
x = 14.7
3 x + 2 y=8
solve for y
Answers
Answer:
y=4-3x/2
Step-by-step explanation:
move 3x to the other side by subtracting 3x on both sides
2y=8-3x
divide by 2 on both sides:
y=4-3x/2
Please help me I need it!!!!
Answers
Answer:
d
Step-by-step explanation:
because it starts off under the water which is -24 then you add a positive 24 to get to sea level
Answer:
the distance above sea level after increasing 24 meters from a depth of 24 meters below sea level
Step-by-step explanation:
equation- -24m + 24m = 0
the answer to the first one is -10 (-5 - 5 - -10)
the answer to the second one is 1,000 (0 + 1,000 = 1,000)
the answer to the third one is 10 ( 20 - 10 = 10)
the answer to the fourth one is 0 (-24 + 24 = 0)
A ladder is 59 inches tall. How tall is it in feet and inches?
Answers
Answer:
4 feet 11 inches
Step-by-step explanation:
all you need to do is see how many groups of 12 is in 59
its 4 because 5 times 12 is 60
12 times 4 is 48
59-48= 11
4 feet 11 inches
Brainliest would be appreciated!
Type the correct answer in the box. Use numerals instead of wc
The length of each side of a square increases by 2.5 inches to
original square was
inches.
Question serial: FIB-3A42-E542-4CD6
P
Answers
Answer:
me dont know solve it your self HAHAHHH loser
Step-by-step explanation:
Which inequality is graphed on the coordinate plane?
Answers
Answer:
B
Step-by-step explanation:
The slope is 4/1 which equals 4
the y int is 2
this gives us 4x+2
the line is dotted which mean there is no equal sign with the inequality
The shaded area is above the line, meaning y is greater
There are 18 chocolates in Swee Tuth's box, 2 each of 9 flavours.
She likes only 6 of the flavours. If she picks a chocolate at randon
what is the probability of her getting one she doesn't like?
Answers
Answer:
20% because if there's six different chocolates she likes and if she picks random thers a possibility of it
the point 2,1 is the turning point of the graph with the equation y=x^2+ax+b
Answers
Answer:
14/12/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).
Step-by-step explanation:
Answer:
a = -4, b = 3
Step-by-step explanation:
sorry, im a bit late but hoping to help others that need the answer.
when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.
in this form, p is the opposite of the x coordinate.
and q is the same as the y coordinate.
to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.
we get: (x-2)^2+1
lets complete the equation now.
(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.
now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:
A = -4
B = 5
if i am wrong please feel free to correct me, ty.
. FOIL the following expression
(x – 4) (x + 6)
Answers
x^2+2x-24 is the correct answer
please help!!! ill give brainliest
Answers
Answer:
Step-by-step explanation:
divide the number then add on
You can solve this using the Quadratic Formula, x =.
a = 1, b = -12, c = 59
x = Multiply 4 and 1
x = Multiply 2 and 1
x = Multiply -4 and 59
x = Square 12
x = Subtract
x = You can't find the square root of negatives, so factor the -92 out.
x = You can find the square of 4, so take that out.
x = Split the expression into two parts
x = (+ or -) The 2 in the numerator and the 2 in the denominator cancel each other out
x = (+ or -) Divide 12 by 2
x = 6 (+ or -) Now, split the solution into the plus and minus parts.
2y-3k when y=8 and k=6
Answers
Answer:
-2
Step-by-step explanation:
2(8) - 3(6)
16 -18 = -2
Answer:
-2
Step-by-step explanation:
If y = 8, then 2y = 8 times two, so 2y = 16
If k = 6 then 3k = 6 times 3, so 3k = 18
16 - 18 = -2
Hope this helps :)
Need help with question 2
Solve the system of linear equations by graphing. Check your answer.
Pls anser thisss plesseee
Answers
Answer:
duh
Step-by-step explanation:
bc it’s not
URGENT PLEASE HELP!
Explain the steps you would take to graph 2x-3y>15.
Answers
Answer:
y>5−2x/3
Step-by-step explanation:
In the diagram below, line RCBT and △ABC are shown with m∠A = 60 and m∠ABT = 125. What is the m∠ACR?
1.125°
2.115°
3.65°
4.55°
Answers
Answer:
3.) 65
Step-by-step explanation:
180-125=55
55+60= 115
a triangle equals 180
180-115=65
The sum of all the angles in a triangle is 180 degrees.
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
What is the sum of angles in a triangle?The sum of all the angles in a triangle is 180 degrees.
We have,
Line RCBT and ΔABC.
From the diagram, we see that,
In ΔABC,
m∠A + m∠B + m∠C = 180 ___(1)
m∠CBT = 180
m∠CBA + m∠ABT = 180
m∠CBA + 125 = 180
m∠CBA = 180 - 125
m∠CBA = m∠B = 55 ____(2)
m∠BCR = 180
m∠BCA + m∠ACR = 180 ____(3)
From (1) and (2) we get,
m∠A + m∠B + m∠C = 180
60 + 155 + m∠C = 180
m∠C = 180 - 60 - 55
m∠C = 65 ____(4)
From (4) we get,
m∠ACR = 65
Thus,
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
Learn more about angles here:
https://brainly.com/question/28793979
#SPJ2
Pls help and show workings due ASAP
Answers
Answer:
A
Step-by-step explanation:
By triangle inequality,
L < 15+6
15 < L+6
6 < L+15
Solving these, we get 9 < L < 21.
Only 10 falls within the range.
The answer is therefore 10cm i.e. A.
a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?
Answers
Answer:
Speed of boat in still water = 40 mph
Rate of current = 10 mph
Step-by-step explanation:
Let the speed of boat in still water be x & let the speed of the stream be y.
Total Distance = 150 miles
Time taken to travel during upstream = 5 hrs
Speed of the boat during upstream = [tex]\frac{150}{5} = 30\:mph[/tex]
Speed of boat during upstream can be represented as [tex]x - y = 30[/tex] because the boat is moving in the opposite direction of flow of stream.
Time taken to travel during downstream = 3 hrs
Speed of boat during downstream = [tex]\frac{150}{3} = 50\:mph[/tex]
Speed of boat during downstream can be represented as [tex]x+y=50[/tex] because the boat is moving in the same direction of flow of stream.
We got a pair of linear eqns. Let [tex]x-y=30[/tex] be eqn.1 and [tex]x+y=50[/tex] be eqn.2 . Using substitution method ,
From eqn.1 , [tex]x-y=30[/tex]
[tex]=> x = y + 30[/tex]
Putting 'x' in eqn.2 , [tex]x + y = 50[/tex]
[tex]=> y + 30 + y = 50[/tex]
[tex]=> y + y = 50-30[/tex]
[tex]=> 2y = 20[/tex]
[tex]=> y = \frac{20}{2} = 10\: mph[/tex]
Putting y in eqn.1 ,
[tex]x - 10 = 30[/tex]
[tex]=> x = 30 + 10 = 40 \:mph[/tex]
Hence , the speed of boat in still water is 40 mph and speed of stream is 10 mph
need help on this pleaseeee!! as soon as possible!!!
Answers
Jimmy is eating appetizers that have 120 calories each. He only plans to eat 550 calories overall.
Write an inequality and determine the most appetizers he can eat without exceeding the limit.
Answers
Answer:
4
Step-by-step explanation:
Jimmy is eating appetizers that
have 120 calories each. He only
plans to eat 550 calories overall.
Write an inequality and determine
the most appetizers he can eat
without exceeding the limit.
He can eat 4.