How many solutions does this linear system have?
y=-1/2x+4
one solution: (8, 0)
one solution: (0, 8)
no solution
infinite number of solutions
Answers
Answer:
The system of equations has no solution.
NO SOLUTION!
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}y=-\frac{1}{2}x+4\\ x+2y=-8\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+\frac{1}{2}x=4\\ 2y+x=-8\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}y+\frac{1}{2}x=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y+x=8[/tex]
[tex]\begin{bmatrix}2y+x=8\\ 2y+x=-8\end{bmatrix}[/tex]
subtracting equation 2y+x=8 from 2y+x = -8
[tex]2y+x=-8[/tex]
[tex]-[/tex]
[tex]\underline{2y+x=8}[/tex]
[tex]0=-16[/tex]
so the equations become
[tex]\begin{bmatrix}2y+x=8\\ 0=-16\end{bmatrix}[/tex]
0 = -16 is false, therefore the system of equations has no solution.
NO SOLUTION!
The diagram is also attached below.
Answer:
No solution
Step-by-step explanation:
Got it right edge 2020
Related Questions
HELPP! Find the y-intercept of the line on the graph.
Enter the correct answer
Answers
Answer:
-2
Step-by-step explanation:
The y-intercept of the line is -2
Answer:
-2
Step-by-step explanation:
because the line is on the -2 on the y axis
Help pleasseeeeeeeeeeeeeeeeeee
Answers
Answer:
welp
Step-by-step explanation:
A group of 3 friends are practicing for a track meet. The group is going to run 7 12 miles total. If they each run the same distance, how far will each person run?
For full points:
1) Show your thinking step by step on how you solved this problem.
2) Do not forget to include the final answer.
pls hurry ;-;
Answers
Round 3292.53429 to the nearest hundred thousandth
Answers
Answer:
The answer is "0.00001"
Step-by-step explanation:
Given value:
[tex]\to 3292.53429[/tex]
when we round a hundred thousandths (100,000) value. So, the given rounding 3292.53429 to the nearest 0.00001.
the total distance that fred amy and leah need to drive is 180 miles. fred will drive 65 miles and leah will drive 45 miles. how many miles will amy need to drive
Answers
Answer:
Amy needs to drive 70 miles.
Step-by-step explanation:
180-(65+45)=?
180-(110)=70
Rewrite in simplest terms: (10x + y) + (10x – 7y)
Oh
Answers
9514 1404 393
Answer:
20x -6y
Step-by-step explanation:
Parentheses can be eliminated and like terms combined.
10x +y +10x -7y
= x(10 +10) +y(1 -7)
= 20x -6y
Joe worked 5 days this week and earned $1,100. He paid 6% in State tax. What is Joe's net pay?
Answers
Answer:
1034$
Step-by-step explanation:
1100/100×6=66$
1100-66=1034$
Line A passes through points (2, 9) and (7, 3). Line B passes through points (1, 4) and (7, 9). Are line A and line B parallel or perpendicular?
Answers
*extra points* solve [tex]\sqrt[3]{64}[/tex]
Answers
Answer: The answer is 4.
Step-by-step explanation: You'll need to simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers: [tex]4^{3}=64[/tex].
A customer placed an order with a bakery for cupcakes.
Answers
Answer:
is there more to this question because as it's it's it's just a statement
Answer:
What kind of order? Did they order chocolate?
Step-by-step explanation:
anyone help!!!!! he due in 30
Answers
The diameter of a pearl is about 4 x 10-3cm and the diameter of an atom is about10-11m. How much larger than an atom is a pearl?Show your work.
a)14x 10∧-14times b) 4 x 10 ∧-14timesc) 14x 10∧-11times d) 4 x 10∧6times
Answers
Answer:
D. 4 × 10⁶ timesStep-by-step explanation:
The diameter of a pearl is
4 × 10⁻³cm = 4 × 10⁻⁵ mThe diameter of an atom is
10⁻¹¹mHow much larger than an atom is a pearl?
4 × 10⁻⁵ ÷ 10⁻¹¹ = 4 × 10⁻⁵⁺¹¹ = 4 × 10⁶ timesCorrect option is D
Answer Plz, ASAP. Within 10 minutes will be Marked as Brainliest
Answers
[tex] \sf \left|\begin{array}{c c} sin20\degree & -cos20\degree \\ sin70\degree & cos70\degree \end{array}\right|=?[/tex]
[tex]\large\bold{\underline{\underline{Explanation:-}}}[/tex]They are asking us to find the determinant
[tex]\boxed{\sf \left|\begin{array}{c c} a & b \\ c & d \end{array}\right| =ad-bc}[/tex]
Now using the above formula it becomes[tex]\left|\begin{array}{c c} sin20\degree & -cos20\degree \\ sin70\degree & cos70\degree \end{array}\right| \: = sin20 \degree cos70 \degree - ( - cos20 \degree sin70 \degree) \: \\ \\ = sin20 \degree cos70 \degree + cos20 \degree sin70 \degree [/tex]
Now using the formula[tex]\boxed{\sf sin(A+B)=sinAcosB+cosAsinB}[/tex]
it becomes
[tex] \longrightarrow \: sin(20 + 70) \\ \\ \longrightarrow \: sin(90 \degree) = 1[/tex]
★Therefore[tex] \boxed{\sf \left|\begin{array}{c c} sin20\degree & -cos20\degree \\ sin70\degree & cos70\degree \end{array}\right|=1}[/tex]
━━━━━━━━━━━━━━━━━━━★Extra information:-What is a matrix?☄It is a rectangular representation or array of numbers,symbols and many more functions
☄It is represented in rows and columns
━━━━━━━━━━━━━━━━━━━━━━━━━━Consider the following triangle side lengths and determine if the triangle could exist. Justify your answer. Part A: 21,18,17 Part B: 3,12,8
Answers
Answer:
A yes, B no
Step-by-step explanation:
The triangle inequality states that the sum of any 2 sides of the triangle must be greater than the third side.
A Given 21, 18, 17 , then
21 + 18 = 39 > 17
21 + 17 = 38 > 18
18 + 17 = 35 > 21
Thus the triangle could exist
B Given 3, 12, 8 , then
3 + 12 = 9 > 8
3 + 8 = 11 < 12 ← fails the test
Thus the triangle does not exist
!!!!!!!!!!!!!help please!!!!!!!!
Answers
Answer:
Quadrilaterals
Step-by-step explanation:
Because they all have 4 sides.
What is the solution to the system below?
y = -3x - 2
6x + 2y = -4
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
Since y=-3x-2, plug it in (2)
6x+2(-3x-2)=-4.
Distribute:
6x-6x-4=-4
-4=-4
Infinetly many solutions.
Hope this helps :)
Jean spent $37.50 for 500 paperclips. How much did he pay for each paperclip?
Answers
6-3/8 I need help please
Answers
Answer:
5.625
Explanation:
Any help with this? I need help solving.
Answers
Answer:
By AAS or AAA congruence, you can prove it.
I hope it will be useful .
Step-by-step explanation:
angleG=angleE (given)
Corresponding opposite angles formed by the transversal are equal! i.e., angleFDG=angleDFE or vice-versa..
And the side is common! or you can prove it by AAA criteria (two pairs of equal angles made by the transversal)
pls help me asap pls is all im asking for people this is for a final nd like ye im stressin.
will give brainliest
Answers
f(x) = StartLayout Enlarged left-brace 1st row 1st column negative 1 2nd column x less-than negative 1 2nd row 1st column 0 2nd column negative 1 less-than-or-equal-to x less-than-or-equal-to 1 3rd row 1st column 1 2nd column x greater-than 1 EndLayout
Answers
Answer:
C {–3, 2, 5}
Step-by-step explanation:
{–3, 2, 5}
Answer: D
Step-by-step explanation:
It’s 4=D
a mat is 3m long and xm wide what is the area in m²
Answers
Answer:
3x m²
Step-by-step explanation:
Area is length × breadth
So
A= 3 × x
A= 3x m²
I thought of a number. I divided that number by 4 and added 6 to it. The result was 8. What was my number?
Btw this is supposed to be a fun-like math question :)
Answers
Answer:
8
Step-by-step explanation:
x÷4+6=8 x=8loooooooooooooooooooooooooooooooooooool
it takes 12 people to pull 30 tons of goods how many people would it take to pull 60 tons of goods
Answers
Answer:
24
Step-by-step explanation:
60 is double of 30 so double 12 to get your answer, 12 time two is 24
(-3 - 4n) + (9n + 6x) + (7x+5) =
Answers
Answer:
5n+13x+2
Step-by-step explanation:
simplify
−3−4n+9n+6x+7x+5
=−3+−4n+9n+6x+7x+5
Combine Like Terms:
=−3+−4n+9n+6x+7x+5
=(−4n+9n)+(6x+7x)+(−3+5)
=5n+13x+2
Answer:
the answer is 5n+13x+2
Step-by-step explanation:
just trust the answer
PLEASE HELP ASSP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
A: 2/9
Step-by-step explanation:
If Zoe has 9 apples, and each apple were 9 grams of sugar. How many grams of sugar does Zoe ate if see eats 9 apples each day this week.
Answers
Answer: 567
Step-by-step explanation: 9*9=81 then you take 81 and times it by however many days there is in the week (aka 7) 81*7=567
What is 80/10 simplifyed
Answers
Answer:
The fraction 80/10 in its simplified form is 8/1 or simply 8.
Step-by-step explanation:
Given fraction is:
80/10
We have to write it in its simplest form.
As 80 and 10 both are multiples of 10, therefore, simplifying the fraction
80/10 = 8/1
Hence,
The fraction 80/10 in its simplified form is 8/1 or simply 8.
Express 27 4/3 in simplest radical form
Answers
Answer:
3⁴
Step-by-step explanation:
Expressing in the simplest radical form means simplifying a radical so that there are no more square roots, cube roots, fourth roots etc.
It further means removing radicals in the denominator of a fraction.
Given
[tex]27^{4/3}[/tex]
this can be written as
[tex](\sqrt[3]{27} )^{4}[/tex]
This is simplified as;
(3)⁴
Find the y-intercept and x-intercept of the line.
5x-3y=10
Answers
x intercept = 2
the solution is in the pic below
(Sorry if it’s wrong!)
Answer:
strategy: put this equation into slope intercept form y = mx + b
then it is easier to find x and y intercepts
Step-by-step explanation:
5x-3y=10
5x-10=3y
5/3x - 10/3 = y
y = 5/3x - 10/3
when x is zero then y is - 10/3, that's the y intercept
when y is zero then x is 2, that's the x intercept
:)