For any two points that we have, we can find a line that passes through them, so the first part is true, only two points are needed to determine a line.
Then you say:
"why are three ordered pair solutions or points found for a linear equation"
A linear equation is something of the form:
y = a*x + b
Where we assume that you know a and b.
Given that case, we can see that we have infinite solutions.
Suppose that you want to solve this for y, then for each possible value of x you will have a different solution, and you can have infinite values of x there, so there are infinite solutions.
Now, what I think you are asking is:
Why we should use 3 points to check if a relation is linear or not?
Well, exactly for the first thing you said. We always can find a line that passes through two given points, but that is not the case for 3 given points.
So, if in a given relation we use 3 points, and we can see that these are collinear, then we can conclude that the relationship gives a linear equation (ideally you could use more than 3 points, but usually is enough)
If you want to learn more, you can read:
https://brainly.com/question/2263981
Writing a System of Equations from Tables
A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative 6, negative 4.5, negative 3, negative 1.5. A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 6.1, 2.1, negative 1.9, negative 5.9.
Complete the statements about the system of linear equations represented by the tables.
The equation representing the left table is
.
The equation representing the right table is
.
The solution to the system of equations is
.
Answer:
Step-by-step explanation:
[tex]\\\begin{array}{|c|c|c||c|c|c|}x&y&\Delta y&x&y&\Delta y\\---&---&---&---&---&---\\0&-6&-1.5&0&6.1&-4\\1&-4.5&-1.5&1&6.1&-4\\2&-3&-1.5&2&-1.9&-4\\3&1.5&-1.5&3&-5.9&-4\\---&---&---&---&---&---\\\end {array}\\\\Tables\ representent\ lines\\\\First\ line: \ passing\ through\ (0,-6)\ and\ (2,-3)\:\\\\y+6=\dfrac{3} {2} (x-0) \ or\ y=\dfrac{3} {2} x-6\\\\\\Second \ line: \ passing\ through\ (0,6.1)\ and\ (1,2.1\:\\\\y-6.1=-4(x-0) \ or\ y=-4x+6.1\\\\Solution\ of\ the\ system\\\\[/tex]
[tex]\Bigg\{\begin{array}{ccc}y&=&\dfrac{3}{2}x-6 \\y&=&-4x+6.1\\\end {array} \right.\\\\\\\Bigg\{\begin{array}{ccc}y&=&-4x+6.1\\\dfrac{3}{2}x-6&=&-4x+6.1 \\\end {array} \right.\\\\\\\Bigg\{\begin{array}{ccc}x&=&2.2\\y&=&-2.7 \\\end {array} \right.\\\\[/tex]
Point D is at (3,-4) and is translated 5 units up
and 4 units left. What quadrant is D' located in?
Answer:
Quadrant II - +
Step-by-step explanation:
3,-4 translated 5 up is 3,1 then 4 units left is -1,1
Write the following as an algebraic expression. Simplify if possible.
Add 9x - 8 to 4x - 1.
Answer:
13x -9
Step-by-step explanation:
4x-1 + 9x-8
Combine like terms
4x +9x -1-8
13x -9
Answer:
9x+−8+4x+−1
(9x+4x)+(−8+−1)
13x+−9
Step-by-step explanation:
so sorry if wrong
What are 3 fun facts about Brazil in your own words? Answer ASAP
Due today
Answer:
Brazil is the only country in South America that speaks Portuguese
The name Brazil comes from a tree named brazilwood
Brazil is the largest country in South America
lmk if incorrect
The value of 3 times the quantity of 4 + x is greater than 6 less than x.
Which inequality represents this situation?
A
3(4+x)>6−x
B
3⋅4+x≥x−6
C
3(4+x)>x−6
D
3⋅4+x≥6−x
[tex]\\ \sf\longmapsto 3(4+x)\gt x-6[/tex]
[tex]\\ \sf\longmapsto 12+3x\gt x-6[/tex]
[tex]\\ \sf\longmapsto 12+6\gt x-3x[/tex]
[tex]\\ \sf\longmapsto 18\gt -2x[/tex]
[tex]\\ \sf\longmapsto x\lt\dfrac{18}{-2}[/tex]
[tex]\\ \sf\longmapsto x\lt -9[/tex]
Step-by-step explanation:
[tex]here \: 3(4 + x) > x -6\\ 3 \times 4 + 3x > x-6 \\ 12 + 3x > x-6 \\ 2x >- 6-12 \\ x = \frac{ - 18}{2} \\ x > - 9\\ option \: (c)is \: ur \: answer \\ thank \: you[/tex]
What is the answer to this?
y values = 4 - 1 =3 units . ignore x values
If Shondra traveled the same number of miles each hour, how many miles did she travel in 4 hours?
210
240
300
360
Answer:
how many miles did she travel each hour? Then I can answer your question
At Chase Bank, you earned $50 in interest last year. If the interest rate is 4.5% and
your money was in the account for one year, what was your principal deposit, rounded to
the nearest dollar?
Answer:
$1,111
Step-by-step explanation:
Let x = principal amount
x multiplied by 1.045 will equal the final amount
Since 50 was earned, x + 50 will also equal the final amount
1.045x = x + 50
Let's move the x terms to left side by subtracting both sides by x
1.045x = x + 50
- x - x
0.045x = 50
Divide both sides by 0.045 to isolate the x variable
0.045x/50 = 50/50
x = 1,111.111111111
The weights of three samples from an experiment are 1.25050 g, 2.50055 g, and 2.74099 g.
What is a reasonable estimate for the total weight of all three samples?
5.5 g
6.0 g
6.5 g
I don't know.
Answer:
Ans ; 6.5 g
Step-by-step explanation:
Ans; 1.25050+2.50055+2.74099 = 6.49204 = 6.49 = 6.5 g
50 is 1/10 of how much?
Answer:
5
Step-by-step explanation:
Identify the relationship between the angles. *
A. Alternating Exterior
B. Supplementary
C. Alternating Interior
D. Vertical
Solve the following inequality. Use interval notation.
Answer:
[tex] |5x + 3| < 23 \\5x + 3 < 23 \\ 5x < 23 - 3 \\ 5x < 20 \\ \frac{5x}{5} < \frac{20}{5} \\ x < 4[/tex]
Answer:
-26/5 < x < 4
Step-by-step explanation:
5x+ 3 = 23
x = 4
5x+3 = -23
5x = -26
x = -26/5
-26/5 < x < 4
Write in standard form.
y^2+14y-5x+64=0
[tex] \hookrightarrow \: {y}^{2} + 14y - 5x + 64 = 0[/tex]
[tex] \hookrightarrow \: 5x = {y }^{2} + 14y + 64[/tex]
[tex] \hookrightarrow \: 5x = {y}^{2} + 14y + 49 + 15[/tex]
[tex] \hookrightarrow \: 5x = (y + 7) {}^{2} + 15[/tex]
[tex] \hookrightarrow \: x = \dfrac{(y + 7) {}^{2} + 15 }{5} [/tex]
[tex] \hookrightarrow \: x = \dfrac{1}{5} (y + 7) {}^{2} + 3[/tex]
therefore, the correct option is B
Answer:
x = (1/5)(y + 7)² + 3
Step-by-step explanation:
Given that,
→ y² + 14y - 5x + 64 = 0
Let's find the required solution,
→ y² + 14y - 5x + 64 = 0
→ 5x = y² + 14y + 64
→ 5x = y² +14y +49 + 15
→ 5x = (y + 7)² + 15
→ x = [(y + 7)² + 15]/5
→ [x = (1/5)(y + 7)² + 3]
Hence, it is the correct answer.
Find the greatest 4-digit number which
is a common multiple of 12, 40, and 45.
Answer:
the least common multiple is 240 of the following
Step-by-step explanation:
Answer:
9720
Step-by-step explanation:
because I looked it up and saw three different websites tell me it's 9720
Help me please
-3x+5(x+2)=4x-(3x+5)
THANK YOU!!!!
Answer:
x=-15
Step-by-step explanation:
-3x+5(x+2)=4x-(3x+5)
<=>-3x+5x+10=4x-3x-5
<=>-3x+3x+5x-4x=-10-5
<=>x=-15
Answer:
x=-15/7
Step-by-step explanation:
combine like terms
3x +5x +10=4x-4x+5
distribute
8x+10=4x-3x-5
combine like terms
8x+10=1x-5
subtract 10 from both sides
8x=x-15
subtract x from both sides
8x-x=x-15-x
combine like terms
7x-15
divide both by 7
7x-15
7. 7
x=15
7
Twenty five subtracted from a number is -90. How would I write this as an equation?
Answer:
x-25=-90
plss mark brainliesttt
Step-by-step explanation:
x-25=-90
if 5(x-6)=8 then x=?
Step-by-step explanation:
5(x-6)=8
5x - 30 = 8
5x = 8 + 30
5x = 38
X = 38/5
X = 7.6
The value of x is 7.6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5 (x - 6) = 8
Solve for x.
5x - 30 = 8
5x = 8 + 30
5x = 38
x = 38/5
x = 7.6
Thus,
x is 7.6.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
seven hundred twelve thousandths in standard form and expanded form
Answer:
Standard: 0.712
Expanded: 0.7 + 0.01 + 0.002
Step-by-step explanation:
Seven hundred twelve thousandths
.tenths,hundredths,thousandths
0.712
Every number in expanded fits in its place.
0.712
^ ^ ^
0.7 0.01 0.002
A long distance runner does a first lap around a track in exactly 50 seconds. As she tires each subsequent lap takes 20% longer than the previous one. How long does she take to run 3 laps?
9514 1404 393
Answer:
182 seconds, or 3 minutes 2 seconds
Step-by-step explanation:
The second lap takes ...
(50 s)(1 +20%) = (50 s)(1.2) = 60 s
The third lap takes ...
(60 s)(1.2) = 72 s
The three laps take 50 +60 +72 = 182 seconds, or 3 minutes 2 seconds.
A student says that the equation of the line that passes through the points (6, 1) and (6, 3) cannot
be written. Explain your thoughts on this statement. (Hint: examine the coordinates of the two
points carefully. What do you notice?)
PLEASE HELP ME
Answer:
Your points have the same x coordinates....this means that u have a vertical line which has an undefined slope. Being that the slope is undefined, you cannot write the vertical line in slope intercept or point slope form. Im not full sure this is right but maybe this will help understand something
Step-by-step explanation:
Answer:
The line has same x- values and different y- values.
It can have an equation, which is:
x = 6For any value of y, the line has x- value of 6.
a window is 9ft long. It is x feet longer than it is high. What is the height of the window.
The height of the window is 9-x feet.
Given that, a window is 9 ft long. It is x feet longer than it is high.
We need to find what is the height of the window.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here, the length of the window = 9 ft
Then, the height of the window = x feet smaller than the length = 9-x feet
Therefore, the height of the window is 9-x feet.
To learn more about an expression visit:
https://brainly.com/question/28170201.
#SPJ2
CAN SOMEONE PLS HELP ME SOLVE THIS !?
9514 1404 393
Answer:
$9.00
Step-by-step explanation:
The simple interest formula can be used.
I = Prt . . . . . interest on principal P invested at rate r for t years
I = ($1200)(0.06)(1/8) = $9.00
The simple interest Xander would earn is $9.00.
__
Justification: the interest is computed using the appropriate formula.
7. If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5)=-2, gʻ(5) = 6.. Find F'(5)
Step-by-step explanation:
I'm going to lay this out in a chart so it's a little easier to see:
F(x) = f(g(x))
x | f (x) | f ' (x) | g (x) | g ' (x)
--------------------------------------
-2 | 8 | 4 |
5 | | 3 | -2 | 6
Remember the chain rule, which says
(f (g (x))) ' = g ' (x) f ' (g (x))
When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.
Using the chain rule, that's
F ' (5) = g ' (5) f ' (g (5))
We can simplify using the numbers provided.
F ' (5) = (6) f ' (-2)
F ' (5) = (6) (4)
F ' (5) = 24
I hope that helps!
The required simplified solution of the F'(5) is 24
Given that,
F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5)=-2, gʻ(5) = 6..
To determine F'(5),
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
F(x) = f(g(x))
Now,
F'(x) = (f (g (x))) '
Following the chain rule
F'(x) = g ' (x) f ' (g (x))
Now,
x = 5
F'(5) = g'(5)f'(g(5))
substitute the value in the above equation,
F'(5) = 6 × f'(-2)
F'(5) = 6 × 4
F'(5) = 24
Thus, the required simplified solution of the F'(5) is 24.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
0.5x + 4 + 0.9x = x + 5
Answer:
x=2.5
Step-by-step explanation:
Answer:
[tex]0.5x + 4 + 0.9x = x + 5[/tex]
collect like terms together:
[tex]0.5x + 0.9x - x = 5 - 4 \\ x(0.5 + 0.9 - 1) = 1 \\ 0.4x = 1 \\ x = \frac{1}{0.4} \\ \\ { \boxed{ \boxed{x = 2.5}}}[/tex]
Which variable expression represents the word phrase?
the sum of 12 and the quotient of 9 and a number
12−(9÷y)
9 + (12 ÷ y)
12 + (9 ÷ y)
12−9y
Answer:
Answer is 12+(9÷y)
Hope this helps
Whoever answer it right gets brainlist
Answer:
multiply 8x4
Step-by-step explanation:
Answer:
36 tiles
Step-by-step explanation:
Since there is 1 extra tile on each side of the 8x8 pool, we can say that the entire area of the picture is 10x10.
Subtracting 8x8 from 10x10 we get
(10x10) - (8x8) = ?
100 - 64 = 36
36 tiles are around the 8x8 pool
the temperature at midnight on Tuesday was 3 degrees. At midnight on Wednesday the temperature is 7 degrees colder. what is the temperature at midnight on Wednesday.
Answer:
-4
Step-by-step explanation:
first, you minus 3 by 3 until you get zero then you minus 4 from zero which gets you -4 degrees.
GIVING BRAINLIST
Solve 1/6 divided by 6
1/36
1/38
1/40
1/50
Answer:The Answer is 1/38
Hope this helps:)
Step-by-step explanation:
how many rooms are there in the house?
Answer:
1 or more than 1
Step-by-step explanation:
This is your answer
Help please give explantation No links or o Will Report you
Answer:if i had 2 try it would b a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It dosent matter if the negative sign is on top or the bottom for 4/9.
