Which systems of equations have no solutions? (Check all that apply. ) x – y = 1, –3x 3y = 3 2y = 3 – 4x, x y = 0 12x 2 = 4y – 10, 2x y = –11 –3x – y = 5, 15x = 10 – 5y x y = 1, –4x 2y = 7.
Answers
To solve such problems we need to know about the system of equatons.
System of EquationWhen the lines of the system of the equation are parallel to each other the system of equations has no solution.
Two lines are parallel lines if they have the same slope and different y-intercept.
Given optionsA.) x – y = 1, –3x+3y = 3
B.) 2y = 3 – 4x, x+y = 0
C.) 12x+2 = 4y – 10, 2x+y = –11
D.) –3x – y = 5, 15x = 10 – 5y
E.) x+y = 1, –4x+2y = 7.
SolutionsA.) x-y=1, -3x+3y = 3
The two lines when plotted on the graph will give two parallel lines. the graph is been plotted below in image(A).
therefore, the system of equations has no solution.
B.) 2y = 3 – 4x, x+y = 0
The two lines when plotted on the graph will give a point of intersection. the graph is been plotted below in image(B)
therefore, the system of equations has a unique solution.
C.) 12x+2 = 4y – 10, 2x+y = –11
The two lines when plotted on the graph will give a point of intersection. the graph is been plotted below in image(C)
therefore, the system of equations has a unique solution.
D.) –3x – y = 5, 15x = 10 – 5y
The two lines when plotted on the graph will give two parallel lines. the graph is been plotted below in image(D).
therefore, the system of equations has no solution.
E.) x+y = 1, –4x+2y = 7
The two lines when plotted on the graph will give a point of intersection. the graph is been plotted below in image(E)
therefore, the system of equations has a unique solution.
Learn more about system of equations:
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Answer:
A, D
Step-by-step explanation:
Related Questions
Help me please- Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Answers
Answer:
One booster pack is worth 9 cards and one premade deck is worth 37 cards.Step-by-step explanation:
We know that:
9x + 7y = 340 cards4x + y = 73 cardsy = Cost of premade decks (In cards)x = Cost of booster packs (In cards)Work:
9x + 7y = 340 cards4x + y = 73 cards
4(9x + 7y = 340 cards)9(4x + y = 73 cards)
36x + 28y = 340 x 4 cards36x + 9y = 73 x 9 cards
19y = 1360 - 65719y = 703y = 703/19 = 37This means that 1 premade deck is worth 37 cards. Now, let's substitute the value of y into the first equation to find x.
9x + 7y = 340 cards=> 9x + 7(37) = 340 cards=> 9x + 259 = 340 cards=> 9x = 81 cards=> x = 9 cardsHence, one booster pack is worth 9 cards and one premade deck is worth 37 cards.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Write an algebraic expression for the verbal expression the sum of g squared and 4
Answers
g^2+4
Explanation:
Sum means to add and squared is the exponent of 2 so “g squared” would be g^2 and plus 4 would be + 4
HELP ME PLEASE!
i’ll mark brainliest if you’re correct!
Answers
Answer:
36
Step-by-step explanation:
7x+4 = 15x-12
7x = 15x-16
-8x = -16
-8x/-8 = -16/-8
x = 2
BD = 15x-12 + 9x
BD = 15(2)-12 + 9(2)
BD = 30-12 + 18
BD = 18 + 18
BD = 38
The answer is 36 I took the test. :)
This recipe makes enough pastry for 8 pasties.
Tara has 1.4 kg of flour, 600 g butter and plenty of water.
What is the maximum number of pasties she can make?
Recipe: Pastry for 8 pasties
400 g flour
150 g butter
4 tablespoons water
Answers
Answer:
I think it's 4 but I could be wrong so really sorry if I am
HELP ME PLEASE!!!
Using the parallelogram, find each measure.
WZ: _____
XY:______
ANGLE W:_____
ANGLE X:______
ANGLE Y:______
ANGLE Z:_____
Answers
X=2A
Y=(4b)
Z
3a-8
Given that f(x) = 10x + 45, find f(-2)
Answers
Answer:
f(-2) is 25
Step-by-step explanation:
[tex]{ \tt{f(x) = 10x + 45}}[/tex]
» f(-2) means that x is -2
[tex]{ \tt{f( - 2) = 10( - 2) + 45}} \\ { \tt{f( - 2) = - 20 + 45}} \\ { \tt{f( - 2) = 25}}[/tex]
Which inequality represents all values of x for which the quotient below is
defined?
Answers
Answer:
Option B: x > 0
Step-by-step explanation:
Option A is wrong because [tex]\sqrt{3(0)}[/tex]will be 0. So, the inequality can't be divided by 0.
Option C is wrong because 1 will suffice this inequality. [tex]\sqrt{7}/\sqrt{3}=1.5 (approx)[/tex]
Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).
Leaving us with only option B, which is the right answer.
The inequality x > 0 represents all values of x for which the quotient √(7x²) ÷ √(3x) is defined.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
To determine the values of x for which the quotient √(7x²) ÷ √(3x) is defined, we need to ensure that the denominator is not zero.
Since the denominator contains √(3x), we know that 3x must be positive for the expression to be defined.
So, the inequality 3x > 0 for x.
Dividing both sides by 3, we get x > 0/3, which simplifies to x > 0.
Therefore, the correct answer is (B) x > 0, which represents all values of x for which the quotient.
Learn more about the inequalities here:
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Is the following statement true or false?
The intersection of two lines can be a ray.
Answers
Answer:
True the intersection of two lines can be a ray.
Determine which point is the solution to the given system of inequalities (y≥2x+4 and x<4-y).
Select all that apply.
A (0,0)
B (0,-4)
C (-2,0)
D (-2,6)
E (-4,2)
F (2,-4)
Answers
Answer:
C (-2,0), E (-4,2)Step-by-step explanation:
Given system:
y ≥ 2x + 4 and x < 4 - yPlot the system and then verify the given points:
A (0,0) B (0,-4) C (-2,0) D (-2,6) E (-4,2) F (2,-4)Refer to attached
The points within the intersected region are C and E
Graph attached
Use multiplication to find three equivalent ratios
11 : 9
Answers
11 : 9
×2 ×2
22 : 18
11 : 9
×3 ×3
33 : 27
11 : 9
×4 ×4
44 : 36
Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are the coordinates of B' after the translation? (1, 6) (–3, 6) (0, 0) (3, 1).
Answers
The coordinates of point B' are (-3, 6).
Given thatTriangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).
The triangle is translated as 3 units to the left and 1 unit up.
We have to determineWhat are the coordinates of B' after the translation?
According to the questionTriangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).
The triangle is translated as 3 units to the left and 1 unit up.
To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.
After the given transformation the coordinates of point B' would be:
[tex]\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)[/tex]
Therefore, the coordinates of point B' are (-3, 6).
To know more about Transformation click the link given below.
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Write the equation of the line that is perpendicular to the line given and through the given point. Do not use spaces in your equation. y=-x-3 (-1, 4) *
Answers
Answer:
y=x+5
Step-by-step explanation:
The equation is given in slope-intercept form, so we can read the slope from the equation. It is the x-coefficient, -1.
The slope of the perpendicular line will be the opposite reciprocal of this value:
-1/-1 = 1
The new y-intercept will be ...
b = y -mx = (4) -(1)(-1) = 5
Then the slope-intercept equation of the perpendicular line is ...
y = x +5
for the problem 1/5g - 1/10 -g+ 1/3/10g -1/10 tyson created an equivalent expression using the folling steps is his final expression equivalent to the initial expression
Answers
No, Tyson's final expression is not equivalent to the initial expression.
Fraction addition;According to Tyson's evaluation after collecting like terms; we have;
1/5g +(-1g) + 1(3/10g) + (-1/10) + (-1/10)open parenthesis
1/5g - 1g + 3/10g - 1/10 - 1/10Upon addition of like terms; we have;
(-1/2)g -1/5.Hence, the correct expression is; (-1/2)g -1/5
Read more on fraction addition;
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what’s is the perimeter of the following figure
Answers
Answer:
8
Step-by-step explanation:
Giving 50 points!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
o.3 I think not sure but wanted to help u
Answer:
o.3 I think not sure but wanted to help u
Step-by-step explanation:
Use words and math to explain why these two expressions are equivalent.
3h + 2 - 6 + 5h and 2( 4h -2)
Answers
Answer:
here
Step-by-step explanation:
when given the first set, you combine like terms so you add 5h and 3h together and -6 and 2 are combined, so the first one is 8h -4. The second set you distribute 2 to 4h and -2 getting you 8h and -4 as well
Answer:
See explanation
Step-by-step explanation:
Let’s manipulate 3h+2-6+5h to show how it is equal to 2(4h-2)
Combine like-terms:
3h+2-6+5h = 8h-4
Then, factor out the greatest common factor (in this case it’s 2):
8h-4 = 2(4h-2)
If you want to verify how to above is true, just combine them again!
Please help it is due today
Simplify (4³)⁵
(I am not asking anyone to solve it, I am only asking for it to be simplified)
A. 12⁵
B. 4⁸
C. (1/4) ¹⁵
D. 4¹⁵
Answers
The graph of a proportional relationship contains the point (20, 4) .
What is the corresponding equation?
please hurry i need help ill give 100 points
Answers
Step-by-step explanation:
in a proportional relationship, one variable is always a constant value times the other.
and as such, (0, 0) is always a point of that relationship too.
in general that means the equation is
y = ax
with a being the constant.
using the given point :
4 = a×20
a = 4/20 = 1/5
so, the equation is y = x/5
PLEASE ANSWER THIS !
Answers
Answer:
a=4.5
Step-by-step explanation:
6a+42=18a-12
54=12a
4.5=a
how to use inverse cosin
Answers
Answer:
sec
Step-by-step explanation:
1/cosin = sec or cosin^-1
The sum of two consecutive even integers is 196. Which expression may be used to solve the
problem?
On + (n + 2) = 196
On + n = 196
(n + 2) + (n + 4) = 196
2n = 196
Answers
Answer:
the answer is 98. 196 ÷ 2 = 98
what is 27/12 as a mixed number
Answers
Answer:
27/12 is a mixed number as a proper fraction it would be 2 3/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
The proper fraction is 2 3/12 but since it is 27/12 the numerator is greater than the denominator
Please answer, This is for a test.
Answers
Answer:
less than or subtract
Step-by-step explanation:
The sum of two numbers is -5 What could
the numbers be?
Find as many solutions as you can.
Answers
Answer:
For this problem, all-natural numbers are solutions and can be answers to this problem.
Small Examples:
-1 + -4 = -5
-3 + -2 = -5
9 + -14 = -5
3 + -8 = -5
-26 + 21 = -5
Nadia is a stockbroker. earns 12% commission each week. Last week, she sold $6,800 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answers
Answer:
$816
Step-by-step explanation:
816 × 52= $42,432
............
Two squares have sides 12cm and 4cm respectively. What is the ratio of their sides
Answers
Answer:
3 : 1
Step-by-step explanation:
We have to compare the value of two sides.
Ratio of sides = 12 : 4 = [tex]\dfrac{12}{4}=\dfrac{4*3}{4*1}=\dfrac{3}{1}[/tex]
= 3 : 1
what
UX
is the
value
ABC
of L
AX
+
B.
Answers
Answer:
72°
Step-by-step explanation:
Angle B is the same as angle C in this isosceles triangle. The sum of the angles is 180°, so you have ...
x + 2x +2x = 180°
x = 180°/5 = 36°
∠ABC = 2x = 2(36°) = 72°
WILL MARK BRAINLIEST! Manny signed up for a cell phone plan to pay for his text messaging. The table shows his monthly bill based on how many text messages he
sends. Answer the question below
Answers
Answer:
I believe it's D :)
Step-by-step explanation:
Answer:
The answer is A: The amount he must pay for each text message
Step-by-step explanation:
B is wrong because that would be for the x-value
C is wrong because that would be for the x-value
D is wrong because that is his monthly bill for if he texts
Hope this helps and Mark Brainliest Please!! :)
I. Simplify each equation. Use a scratch paper for your solution then write your final answer in the blank.
1.) 20 + 4 + 8 ÷ 4 x (5 - 3) = _______________
2.) 3² - 6 = __________________
3.) 19 + 2 – 3 x 7 = _____________________
4.) 2 - 4 ÷ 2 = _______________
5.) (3 + 2) - (5 - 2²) = ____________________
6.) 52 ÷ 5 x 5 – 5 + 5 = ________
7.) 2 x (6 + 2 - 8) = _____________________
8.) (50 – 2 x 3) – 46 = ________
9.) 1000 + 99 = ________________________
10.) 6 + 7 x 3 – 27 = __________
Answers
24 + 2x2
24+4= 28
2. =3
3=0
4=1
5=4
6=0
7=0
8=-2
9=1,099
10=-19
Solve the math problem
Answers
Answer:
No solutions
Step-by-step explanation:
Solve: Using substitution
We know what y equals. Plug that in for the other equation to solve for x
-8x + 2y = 3-8x + 2(4x + 5) = 3-8x + 8x + 10 = 310 = 3There are no solutions to this problem because 10 cannot equal to 3
-Chetan K
Answer:
The system has no solution
hope it's helpful
