- 20y - 7x = -14
10y - 2x = -4
Answers
Answer:
(2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-20y - 7x = -14
10y - 2x = -4
Step 2: Rewrite systems
10y - 2x = -4
Subtract 10y on both sides: -2x = -10y - 4Divide -2 on both sides: x = 5y + 2Step 3: Redefine systems
-20y - 7x = -14
x = 5y + 2
Step 4: Solve for y
Substitution
Substitute in x: -20y - 7(5y + 2) = -14Distribute -7: -20y - 35y - 14 = -14Combine like terms: -55y - 14 = -14Add 14 on both sides: -55y = 0Divide -55 on both sides: y = 0Step 5: Solve for x
Define original equation: 10y - 2x = -4Substitute in y: 10(0) - 2x = -4Multiply: 0 - 2x - 4Simplify: -2x = -4Divide -2 on both sides: x = 2Step 6: Graph systems
Check solution set and systems.
Related Questions
Which equation represents a line that has a slope of 3/4 and passes through the point (2;1)?
A;3y = 4x - 5
B;4y=3x - 2
C4y= 3x+5
Answers
Answer:
B
Step-by-step explanation:
m = 3/4
x1 = 2
y1 = 1
Using the formula,
y - y1 = m(x - x1)
y - 1 = 3/4(x - 2)
y - 1 = 3x/4 - 3/2
y = 3x/4 -3/2 + 1
y = 3x/4 - 1/2 (×4)
4y = 3x - 2
Therefore, the answer is B
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation of the line that passes through (2, 1) and 3/4 as its slope.
4y = 3x - 2
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = 3/4
m = 3/4
The point that passes through = (2, 1)
Now,
The equation of the line is y = mx + c.
y = (3/4)x + c
We will take (2, 1) = (x, y) since it passes through the line.
1 = (3/4)2 + c
1 = 3/2 + c
c = 1 - 3/2
c = -1/2
Now,
The equation of the line that passes through (2, 1) and 3/4 as its slope.
y = (3/4)x -1/2
y = (3x - 2)/4
4y = 3x - 2
Thus,
The equation of the line that passes through (2, 1) and 3/4 as its slope.
4y = 3x - 2
Option B is the correct answer.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
Ms. Dangerfield wants to order 980 erasers for her class for the whole school year. Amazon is selling a bag of 250 erasers for a great price! How many bags of erasers should Ms.Dangerfield buy to have enough for her class this school year? You can use a number line to help you solve.
Answers
Answer:
4 packages
Step-by-step explanation:
We have to do 980/250.
So after you get that, you would get 3.92. It would not make sense to get 3.92 packages since that isn't possible on Amazon using common sense. Therefore we must round 3.92 to 4 packages.
Answer:
Ms.Dangerfeild should order 4 bags
Step-by-step explanation:
250 times 4 is 1000 so Ms.Dangerfeild will have 20 extra erasers.
A line is represented by the equation y/x−2=3/11 . Select all the coordinates of points that lie on the line.
A. (−163, −2)
B. (0, 2)
C. (5, 911)
D. (0, 611)
Answers
To determine the answer, we must graph each point and the line.
According to this graph, the point that lies on the line is B. (0, 2).
*Note: the line shown on the graph is [tex]y = \frac{3}{11}x + 2[/tex], which is the equivalent of the one in the question. All I did was solve the equation for y to convert it to slope-intercept form.
a number x more than −13 as an expression
Answers
Answer:
x > -13
General Formulas and Concepts:
Algebra I
Writing expressionsStep-by-step explanation:
Step 1: Translate
"a number x" = s
"more than" is >
"-13" = -13
Step 2: Combine
x > -13
And we have our final answer!
A circle has its center at (6, –3). One point on the circle is (3, 1). Which is another point that lies on the circle?
Answers
Answer:
(4,0)
Step-by-step explanation:
(ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.
Answers
Answer:
The instantaneous velocity at [tex]t = 2[/tex] is [tex]-6[/tex].
Step-by-step explanation:
We have the position as the function
[tex]s(t) = -2 - 6t[/tex]
As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.
so finding the derivate of [tex]s(t) = -2 - 6t[/tex]
∴ [tex]s'(t)=-6[/tex]
The instantaneous velocity at [tex]t = 2[/tex]
[tex]s'(2)=-6[/tex]
Therefore, the instantaneous velocity at [tex]t = 2[/tex] is [tex]-6[/tex].
Please note that the negative value indicates the direction of movement, in this case, it would be backward.
Enter the equation of the line in slope-intercept form.
The line passes through (1.4) and (3,18).
The equation of the line is
Answers
Answer: y = 7x - 3
graphed equation attached
Step-by-step explanation: Slope-intercept form . y= mx+b
m is the slope, b is the constant, the y-intercept.
First find the slope: rise/run
Rise is the difference in y-values 18-4 = 14
Run is the difference between x-values 3 - 1 = 2
The Slope is 14/2 simplify:
m = 7
Use this calculated slope with values of y and x from either of the given coordinates and calculate b
y = mx + b
18 = 7(3) + b
18 = 21 + b . subtract 21 from both sides 18 - 21 = 21 -21 + b
-3 = b
Put these calculated values for m and b into the slope-intercept equation"
y = 7x - b
The sum of two angles is 180 degrees. Their difference is 70
degrees.
What is the measure of the smaller angle?
Answers
Step-by-step explanation:
x+y=180
x=180-y------(i)
x-y=70------(ii)
Now,
Putting the value of x in equation (ii)
x-y=70
(180-y)-y=70
180+2y=70
2y=70-180
2y= - 110
y= - 110/2
y= - 55
Again,
x=180-(-55)
x=235
x-y=70
x-(-55)=70
x+55=70
x=70-55
x=15
what is the square root of 3
Answers
Answer:
1.732058
Step-by-step explanation:
Hope this helps
HELP
A political polling agency predicts candidate A will win an election with 54% of the votes. Their poll has a margin of error of 4% both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x, for candidate A?
50 ≤ x ≤ 58
x ≥ 50 or x ≤ 58
x ≥ 52 or x ≤ 56
52 ≤ x ≤ 56
Answers
Try your best but I think the answer is the first one.
50 + 4 = 54
MARGIN OF ERROR - 4%
54 + 4 = 58
THE FIRST SHOULD BE YOUR ANSWER.
Answer:
Step-by-step explanation:
The answer is A
Subtract 25 from all and find out which is the most accurate.
25.32
25.76
24.73
Answers
Determine the value of angle ECB
Please help me out!
Answers
Answer: ∠ECB = 60°
Step-by-step explanation:
First, find the value of x by adding them up.
x + 3x + 2x = 6x
Since we know that all of the angles create a 180° angle, we can set up a proportion.
6x = 180°
To find the value of x, divide both sides by 6.
6x ÷ 6 = x
180 ÷ 6 = 30
So now the proportion is x = 30.
Now that we now x = 30, we can plug in 30 to the angle measures.
∠DCA = 30°
∠DCE = 90°
∠ECB = 60°
So angle ECB is 60°.
hope this helps!
What is x in this question ax=12
Answers
if there no other info given to you then I guess the answer would be x = 2 since (a) would equal 6?
9514 1404 393
Answer:
x = 12/a
Step-by-step explanation:
To find the value of x, divide both sides of the equation by its coefficient.
ax = 12
(ax)/a = 12/a
x = 12/a
WILL MARK BRAINIEST IF YOU ANSWER CORRECT. BUT HELPPPP!Consider the functions ƒ(x) = 6x – 5 and g(x) = 6x + 3. Which statement compares the relationship between the graphs of the two functions?
Answers
Answer:
D) The graph of g(x) is the same as the graph of ƒ(x) translated up 8 unitsStep-by-step explanation:
Given functions
ƒ(x) = 6x – 5 and g(x) = 6x + 3We can see the slopes are same, g(x) = f(x) + 8
Answer:
D
Step-by-step explanation:
F.y=6x-5
G y=6x+3
Give an example of how you use positive and negative numbers, and explain the meaning of 0 in your example.
please help me
Answers
Answer:
Meanings of the numbers:
Most numbers represent an amount. Positive numbers represent above zero. Zero is the only number that does not represent an amount. It means nothing. When you go lower than nothing, you are in the negative numbers. Negative numbers represent absent values pretty much.
How I would use them in every day life:
I would use positive numbers to represent... maybe something I'm trying to get at a store. Ex: 4 bananas
I would use negative numbers to... maybe look at the temperature. Ex: -16 degrees Fahrenheit. Negative numbers are in temperature all the time.
Hope this helps! (^-^)
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
O
O
-5
--4
-3
-2 -1 0
2
3
+
4
5
O
+
-5 -4
-3
-2 -1
+
2
0
1
3
4
5
O
6
+
+
+
5
-5 -4
-2
-1
0
1
23
4
O
-5 -4
-2 -1
0
2
3
4
5
Up
Answers
Answer:
what is this you need to tell me what this is
Step-by-step explanation:
ok
help me plz thank you i would mark brainlist
Answers
Answer: im not good at math
Step-by-step explanation:
-0.931 as a fraction
Answers
Answer:
-0.931
-----------
1000
Step-by-step explanation:
-0.931 = -931/1000
a student has reflected the patterns as given below are the reflections correct and what advice would yiu give them
Answers
Answer:
Step-by-step explanation:
We need the rest of the question please.
click on photo
Need help ASAP! Please
Answers
Y = -x -3
Answer:
y= -1x -3
Step-by-step explanation:
3x + 3y= -9
3y= -3x -9
y= -1x -3
Researchers randomly choose two groups from 15 volunteers. Over a period of 9 weeks, one group watches television before going to sleep, and the other does not. Volunteers wear monitoring devices while sleeping, and researchers record dream activity. Which type of study method is described in each situation? Group of answer choices a) observational study b) controlled experiment c) survey
Answers
Answer: B. Controlled experiment
Step-by-step explanation:
This is a controlled experiment because the variables in the question are manipulated by the researcher. We are told that while one group watches television before going to sleep, the other group does not.
The controllers won't have control over the variables that were used if it was an observational study while for a survey, it has to do with collection of information regarding certain topics or happenings in order to have people's perception on the topic or area of interest.
2 The value of y is directly proportional
to the value of x.
If y = 35 when x = 140, what is the
value of y when x=70
Answers
Answer:
y = 17.5
Step-by-step explanation:
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 35 when x = 140, then
35 = 140k ( divide both sides by 140 )
0.25 = k
y = 0.25x ← equation of proportion
When x = 70, then
y = 0.25 × 70 = 17.5
What is the solution to the equation 3x + 2(x - 9) = 8x + x - 14?
A.-8
B.-1
C.1
D.8
Answers
hope it helps you out
Answer:
B.) -1
Step-by-step explanation:
Here, 3x + 2(x - 9) = 8x + x - 14 is given
Now, we will solve and we get,
3x + 2(x - 9) = 8x + x - 14
3x + 2x - 18 = 9x - 14
5x - 9x = 18 - 14
-4x = 4
4x = -4
x = -4÷4
x = -1
Thus, The value of x is -1
Hence, Option B is correct
-TheUnknownScientist
why is the set {(3,6), (4,8), (5,10), (3,1), (6,12), (7,10)} NOT a function
Answers
Answer:
There are two 3s for the imputs (3,6) (3,1)
Step-by-step explanation:
There can only be one output for every input
In ΔBCD, the measure of ∠D=90°, DC = 12, BD = 35, and CB = 37. What is the value of the tangent of ∠B to the nearest hundredth?
Answers
Answer:
0.34
Step-by-step explanation:
Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 18,then it is a multiple of 9.
If a number is a multiple of 9, then it is a multiple of 3.
a
The number is a multiple of 3.
b
The number is a multiple of 9.
c
If a number is not a multiple of 3, then the number is not a multiple of 18.
d
If a number is a multiple of 18, then it is a multiple of 3.
Answers
Answer: B) if a number is a multiple of 18 then it is a multiple of 3
Step-by-step explanation:
abc is isosceles a=48 and b=4x+4 x=?
Answers
Answer:
x=11
Step-by-step explanation:
=>4x+4=48
=>4x=48-4
=>x=44/4
=>x=11
Find f (x)^-1 of f (x) = ....
(Look at picture)
Answers
Answer:
It's the last one
[tex] {x}^{2} + 6x[/tex]
5 5/6 + (-1/6) + 2 2/3 + (-2 2/3)
Answers
Answer:
5.66666666667
Step-by-step explanation:
Bridget was flying her new kite, which was at an elevation of 85 feet. A strong gust of wind caused the kite to drop 20 feet
Answers
Answer:
There is no question but 85-20=65
Step-by-step explanation: