Choose the correct description of each system of equations.
3x + y = 3
x - 2y = 4
Answers
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Given the system of equation expressed as:
3x + y = 3
x - 2y = 4
Solve simultaneosly;
3x + y = 3 ............. 1 * 1
x - 2y = 4 ...............2 * 3
_________________________
3x + y = 3
3x - 6y = 12
Subtract
y-(6y) = 3 - 12
7y = -9
y = -9/7
Substitute y = -9/7 into the equation to get x
x - 2y = 4
x - 2(-9/7) = 4
x + 18/7 = 4
x = 4 - 18/7
x = 3/7
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Learn more here: https://brainly.com/question/20052273
Related Questions
Find the value of the expression if x = 2.1, z = -4.2 and b = -3.
|2x−z|+6b
Answers
Answer:
[tex]{ \tt{ |2x - z| + 6b}} \\ \\ \dashrightarrow \: { \tt{ |2(2.1) - ( - 4.2)| + 6( - 3) }} \\ \\ \dashrightarrow \: { \tt{ |8.4| - 18 }} \\ \\ { \boxed{ \boxed{ \tt{ \dashrightarrow \: \: - 9.6 \: \: }}}}[/tex]
URGENT -
In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student chosen randomly from the class has an A?
Female Male
Has an A 2 5
Does not have an A 3 9
Answers
Answer:
The chances are 36.8% that a random student has an A
Step-by-step explanation:
There are 19 total students and 7 of them have an A. Divide 7 by 19 and convert the decimal value into a percentage.
what will be the ones digit in the square of the following number 21222
Answers
Answer:
4
Step-by-step explanation:
since the square of the number ending with 2 will give 4 at units place
PLEWSE HELP ASAP THIS IS DUE NEXT PERIOD
Rewrite each equation in standard form.
3. y-2=-(x+7)
Answers
Answer:
y-2=-x-7
Step-by-step explanation:
i think this helps
Answer:
x + y = - 5Step-by-step explanation:
The standard form of linear equation:
ax + by = cConvert the given from point- slope to standard form:
y - 2 = - (x + 7)y - 2 = - x - 7x + y = - 7 + 2x + y = - 5which equation best repersents the line graphed above ?
Answers
Answer:
x = -4
Step-by-step explanation:
The line intersects the x-axis at -4.
Answer:
x= -4
Step-by-step explanation:
Help me plz! I WILL MARK YOU BRAINLYST
Answers
Answer:
6.5 rounded from 6.53...
to see if this is correct we can:
13.5+9.5+6.5*3 = 42.5
but since we rounded it we can say its 6.5
Answer:
6.55 meters each day
Step-by-step explanation:
You know that in the end the fence must be 42.6 meters long.
On Monday & Tuesday, he installed 22.95 meters of fence. (We know this because 13.45 + 9.5 = 22.95).
So, how much is left? You find that by subtracting 22.95 from 42.6.
42.6-22.95 = 19.65 meters
There are 3 days left of fencing, and these days he will install equal lengths, so you can divide 19.65 meters by 3 days.
19.65 / 3 = 6.55 meters of fence per day
√4x^2/3y
Please show work if you can
Answers
Answer:
√16x/3y
Step-by-step explanation:
√4x^2 = √16x /3y = can't be simplified further
PLEASEEE HELPPPPPn nxndhdndjd
Answers
Answer:
In a total triangle, there are 180 degrees.
So we add the given degrees and add a variable(our unknown value) to make it equal 180
65 + 57 + X = 180
add like terms
122 + X = 180
inverse property of addition is subtraction
-122 -122
X = 58 degrees
Answer:
The answer is 58.
Step-by-step explanation:
65+57=122
180-122=58
Angles that lie on the same side of the
transversal and on the same side of the parallel Ines. These engles are in
the same "corner and are congruent
Answers
Corresponding angles have the same measure and contain an interior
exterior angle on the same side of the transversal.
Can someone please help me
I need this as soon as possible
No links please and don't answer if you don't know what the answer it
Answers
Answer:
#5. m<NMO = 44 and X = 9
Step-by-step explanation:
#5. 5x - 1 + 3x + 4 = 75 (<NMP is the entire angle, which equals 75.)
combine like terms
8x + 3 = 75
subtract 3 from both sides and divide 8.
x = 9
5(9) - 1
m<NMO = 44
#6
When the fraction below is written as a decimal, how many digits are in the smallest
sequence of repeating digits?
5/11
OA) 0
OB) 1
OC) 2
OD) 3
Answers
Answer:
5/11 = 0.45454545......
so, option c.
Which set of numbers can represent the side lengths, in ce
O 8, 12, 15
O 10, 24, 26
O 12, 20, 25
15, 18, 20
What’s the answer
Answers
Answer:
23 cuz it's like a parten
are these right if not tell me what i got wrong and the answer
Answers
IF YOU DONT KNOW THE QUESTION, PLEASE DONT ANSWER IT FOR THE PONIS. I REALLY NEED IT
Answers
Answer:
-3x^2-10x+6
Step-by-step explanation:
the first mistake would be writing the 4x^2 as positive when it's supposed to be negative. the 1 is also supposed to be positive. correct difference would be:
(x^2-10x+5)-(4x^2-1)
=(x^2-4x^2)-10x+5+1
=-3x^2-10x+6
Answer:
Mistake in step 2
Step-by-step explanation:
(x^2-10x+5)-(4x^2-1)
x^2-10x+5-4x^2+1
-3x^2-10x+6
-(3 x^2 + 10 x - 6)
There is a mistake in step 2 in the picture,
-(4x^2-1)
Here, -*- =+ and -*+=-, this is done incorrectly here,
Choose the equation that represents the line passing through the point (−2, −3) with a slope of −6.
y = −6x − 15
y = −6x − 20
y = −6x + 15
y = −6x + 20
Answers
Answer:
[tex]y = mx + c \\ - 3 = - 2( - 6) + c \\ c = - 15 \\ y = - 6x - 15[/tex]
Given f(x) = x^2+9x+18 and g(x)=x+6
Find f(x)-g(x)
Answers
Answer:
x = -6, -2
Step-by-step explanation:
x^2 + 9x + 18 - (x + 6)
x^2 + 9x + 18 -x - 6
x^2 + 8x + 12
(x+6)(x+2)
x = -6, -2
Fred spent half of his allowance going to the movies. He washed the family car and earned 6 dollars. What is his weekly allowance if he ended with 16 dollars
Answers
Answer:
His weekly allowance is 20 dollars
Step-by-step explanation:
the full equation would be (with x equaling weekly allowance):
(x÷2)+6=16
subtract 6 from each side to get
(x÷2)=10
then multiply each side by 2
x=20
Pls solve the right way then I’ll give you 15pts
Answers
Answer:
x=27
Step-by-step explanation:
Aight so the angle of line AB equals 180 degrees. You have 36 degrees plus the right angle (90 degrees) which gets you 126 degrees. Subtract 126 from 180 and you get 54, the remaining value. So if 2x=54, then divide both sides by 2 to get x=27. that should be it
At a local print shop, 10 copies can be made for $4. At this rate, how how many copies
could be made for $34?
Fill out the table of equivalent ratios until you have found the value of x.
Answers
Answer:
huh? i don't understand
Step-by-step explanation:
what? Ahhahahha
In 5 games, a footballer scores: 1 2 1 3 0 What is the median? What is the range?
Answers
Answer:
Median= 1
Range= 2
Step-by-step explanation:
Median is the middle number, 1
The Range is the highest number subtracted from the lowest number (3-1)
Find an equation of the straight line that is perpendicular to the straight line x+2y=5 and that passes through the point (3,7)
Answers
Answer: y = 2x + 1
Step-by-step explanation:
Rewrite the equation in standard form:
x+2y=5
2y = -x + 5
y = -(1/2)x + (5/2)
A line perpendicular to this would have a slope that is the negative inverse of the reference line slope, -(1/2), here. The new slope would be 2. The y-intercept, (5/2), will change, so we'll just use b for the new y-intercept, and calculate it later:
y = 2x +b
We know that point (3,7) lies on the new line (it is a solution to the equation), so we can use this point to find the new y-intercept, b.
7 = 2*3 + b
b = 1
The perpendicular line is y = 2x + 1, and goes through point (3,7)
Can someone explain step by step ?
Answers
Answer:
e = 128
Step-by-step explanation:
All of the angles equal 180
26 + 26 = 52
180 - 52 = 128
Given triangle GHJ, the measure of angle G equals
H
measure of angle H equals 30°. Complete the following
statements.
Since angle G is _____
angle, the opposite
side, JH, is________
The order of the side lengths from longest to shortest is______
110°, the measure of angle J equals 40°, and the
G
Answers
Stella and Hazel are the two fastest typists in their computer class. Last week, they had a competition to see whose typing speed was greater.
The table below shows the number of words Stella typed in x minutes during the competition.
Stella's Typing Speed
Time
(minutes) Words
Typed
2 112
4 224
6 336
8 448
The equation below represents the number of words Hazel typed in x minutes during the competition.
Which of the following is true?
A.
Stella typed more words per minute than Hazel during the competition.
B.
There is not enough information to determine the number of words typed per minute during the competition.
C.
Stella and Hazel typed the same number of words per minute during the competition.
D.
Hazel typed more words per minute than Stella during the competition.
Answers
Answer:
b
Step-by-step explanation:
3.9 in fration form in fration
Answers
Answer: 39/10
Step-by-step explanation:
Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
3.9
1
= (3.9 × 10)
(1 × 10)
= 39/10
The number of times the people in a group surveyed on the street have gone to the cinema this month are:
5, 5, 0, 8, 4, 5, 6, 4, 3, 5, 3, 5, 3, 7, 4, 3, 6, 7, 6, 2, 1, 4, 2, 0, 2
Fill in a frequency table and calculate the mean of the distribution.
Answers
Ok so we draw a frequency table by like say if we have 3 2’s then we add a column of like 0-5 and say like 3 frequencies,
I know it’s confusing at first but just keep trying
And to find average we add all the numbers and we divide by how many numbers there are.
Hope it helps!
If it doesn’t I will explain again.
Can I get brainliest answer?
Mikah bought a dozen cupcakes for her friend's birthday. If she paid $3.48 for the cupcakes, what was the cost per cupcake?
A.$0.28
B.$0.29
C.$1.80
Answers
Answer:
29 cents each
Step-by-step explanation:
Equations that are functions can be written in a form called what?
Answers
Answer:
function notation.
Step-by-step explanation:
I was there with you i just happen to remember this one thing from my middle school
Evaluate the expression for k = –1.
–14k =
Answers
14
Please help, Giving brainliest! And please show work
Answers
Answer:
4
Step-by-step explanation:
order of operations PEMDAS
parentheses first
[tex](5 + 9) \times 5 \div 7 - 6[/tex]
[tex]14 \times 5 \div 7 - 6[/tex]
multiply
[tex]70 \div 7 - 6[/tex]
divide
[tex]10 - 6[/tex]
subtract
[tex]4[/tex]
Answer:
Your answer to this equation is 4.
Step-by-step explanation:
( 5 + 9 ) × 5 ÷ 7 - 6 =
( 14 ) × 5 ÷ 7 - 6 =
70 ÷ 7 - 6 =
10 - 6 =
4