Answer:
y-coordinate for the SOLUTION to the following system of
equations will be:
y=-1The graph is also attached.
Step-by-step explanation:
Given the system of equations
[tex]y\:=\:-x-\:2[/tex]
[tex]y\:=\:4\left(x\:-\:1\right)\:+\:7[/tex]
Let us solve the system of equations to determine the y- coordinate
[tex]\begin{bmatrix}y=-x-2\\ y=4\left(x-1\right)+7\end{bmatrix}[/tex]
[tex]y-4x=3[/tex]
[tex]-[/tex]
[tex]\underline{y+x=-2}[/tex]
[tex]-5x=5[/tex]
so
[tex]\begin{bmatrix}y+x=-2\\ -5x=5\end{bmatrix}[/tex]
solve -5x=5 for x
[tex]-5x=5[/tex]
Divide both sides by -5
[tex]\frac{-5x}{-5}=\frac{5}{-5}[/tex]
[tex]x=-1[/tex]
[tex]\mathrm{For\:}y+x=-2\mathrm{\:plug\:in\:}x=-1[/tex]
[tex]y-1=-2[/tex]
Add 1 to both sides
[tex]y-1+1=-2+1[/tex]
[tex]y=-1[/tex]
Thus, y-coordinate for the SOLUTION to the following system of
equations will be:
y=-1The graph is also attached.
PLEASE HELP ASAP
Factor completely.
18x-4
A 2(9x-2)
B 18(x-4)
C 4(4x-1)
D 1(18x-4)
Answer:
A) 2(9x - 2)
Step-by-step explanation:
The greatest common factor of 18x and -4 is 2.
B is wrong because 18 is not the greatest common factor of both, since 4 cannot be divided by 18 and result in a whole number.
C is wrong because 18x cannot be divided by 4 to produce a whole number.
D is wrong because it restates the problem in a different way, therefore not factoring it completely. 1 is a common factor of both, but not the greatest.
help me !!! please :(((
Answer:
e = 35
d = 124
f = 21
Step-by-step explanation:
point)
Complete the missing value in the solution to the equation:
6x + x = y + 2x
(3,
Answer:
-2
Step-by-step explanation:
What is the equation of the line with slope 3 through the point (5, 1) in point-slope form?
Answer:
y-1 =3(x-5)
Step-by-step explanation:
Point slope is y-y₁=m(x-x₁)
were (5,1) corrasponds to y1 and x1
( 5 , 1 )
^ ^
x1 y1
M is equal to the slope you then just fill it in to get y-1 =3(x-5)
The chart below shows conversion between kilometers and miles
6
5.4
11.1
12
??????
Given the chart that shows the conversion between kilometers and miles, the missing value in the table is 12.
Option D is the correct answer.
This question is incomplete, the missing image is uploaded along this answer below.
What is the missing value in the table?Given that;
Kilometers Miles
2 1.2
7 4.2
20 ?
30 30
First, we determine the constant k
If y = 2 and x = 1.2
Let y = x such that constant k = x/y
k = 1.2 / 2 =
k = 0.6
Now, given that;
y = 20x = ?k = 0.6Missing value x will be;
k = x/y
0.6 = x/20
x = 0.6 × 20
x = 12
Given the chart that shows the conversion between kilometers and miles, the missing value in the table is 12.
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Answer:its 5.4
Step-by-step explanation:
Answer and provide a step by step explanation. Thanks.
Answer:
f(x)=-2x+1
Step-by-step explanation:
Once points are plotted, you can use the rise/run method to find the slope which is 2/1=2. Then you can determine that its a negative function since the y values decrease as x increases. Lastly, since the y-intercept is a 1, you can fill in the blanks for the basic y=mx+b equation.
Determine the relationship between the x-and y-values. Enter an equation.
X
1
2
3
4
у
-3-6-9-12
y =
Answer:
y = -3x
Step-by-step explanation:
Here, we want to deduce the relationship between x and y
From the question, we can see that the values of x are multiplied by -3 to give the y-values
So mathematically, the equation is;
y = -3x
Find all solutions to the following pair of equations
Answer:
A, B, D because the sum of them is equal to 18
Step-by-step explanation:
Adding them
Solve the following system of equations: (1 point)
x - 2y = 14
x + 3y = 9
O (1, 12)
O (-1, -12)
O (12, -1)
O (12, 1)
Answer:
(12,-1)
Step-by-step explanation:
Plug in the x and y values into the equation to see if it gives you 14 and 9.
Option 1:
(1) - 2(12)
1 - 24 = -23 Not it
Option 2:
(-1)-2(-12)
-1 + 24 = 23 Not it
Option 3:
(12) - 2(-1)
12 +2 = 14 Yes, but make sure with the second equation
12 +3(-1)
12 - 3 . Works
Answer is (12,-1)
Answer:
its c, i took the test
Which set is the solution set for the given inequality?
-3(2x - 4) < 7 (3 - 2)
O {z real| 2 > -9}
O {z real| 2 > -5}
O {I real|I <9}
s
O { x real|2 <33}
Answer:
z reall 2
Step-by-step explanation:
at the beginning of april, colony of ants has a population of 5,000. During april, the colony decreases by 1/6 of its population. How many ants are there left at the end of april? approximate your answer as an integer(it would not make sense to have 2.5 ants). 5,000
Answer:
4166 ants
Step-by-step explanation:
To find how many ants were left, multiply 5000 by 5/6, since it decreased by 1/6:
5000(5/6)
= 4166.67
Round this down:
= 4166
So, at the end of April, there were approximately 4166 ants left
The required number of ants left at the end of April is given as 4167 ants.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the number of ants at the end of April be x,
According to the question,
Number of ants left = total ants - decreased number of ants
x = 5000 - 1/6[5000]
x = 5000[1 - 1/6]
x = 5000[5/6]
x = 4166.67
x = ≈ 4167
Thus, the required number of ants left at the end of April is given as 4167 ants.
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The scale on a map is 1 cm:50 mil. the distance on the map between Boston, MA, and Detroit, MI, is 14.2 cm. What is the actual distance between Boston and Detroit?
reflect the following across y=-x
Answer:
1=-1
5=-6
1=-5
Step-by-step explanation:
hope that helped...
The possible values of x are given by x+8≤6.
The greatest possible value of 7x is
Answer:
x + 8 <= 6, so x <= -2.
Step-by-step explanation
Greatest possible value of 7x is 7(-2) = -14.
I don’t understand the question with the answer options?
Answer:
Please Contact Your Teacher That Word Is Not Spelled Right Its Suppose To Be Roof Not Root!
And I Think Its B
question is in the picture. please help this is for finals.
413x – 3) = 4(2 – 2x)
X = 0.03
Explanation:
Use PEMDAS to answer.
First I distributed 4 into 2 - 2x: 413x - 3 = 8 - 8x
Next, I added 3 from the left side to get x by itself: 413x = 11 - 8x
Next, I added 8x from the right side to get both x's on one side: 421x = 11
next divide 421x into 11: x = 0.03
Hope this helps :)
(8,5) and (5, 7)
find the rate of change (slope)
Answer:
slope = -2/3
Step-by-step explanation:
m = y2-y1 / x2-x1
Hope this helps. Pls give brainliest.
At time t=0 water begins to drip out of a pipe into an empty bucket. After 56 minutes 8 inches of water are in the bucket. What linear function in the form y=mx+b represents the amount of water in inches,w, in the bucket after t minutes
Answer:
The linear function of the bucket is [tex]y = \frac{1}{7}\cdot x[/tex], where [tex]y[/tex] represents the amount of water, measured in inches, and [tex]x[/tex] is the time, measured in minutes.
Step-by-step explanation:
According to the Euclidean and Analytical Geometries, we can construct a line by knowing two distinct points on a plane. Besides, we know two different conditions for the bucket:
Initial condition of the bucket
[tex]A(x,y) = (0\,min, 0\,in)[/tex]
Final condition of the bucket
[tex]B(x,y) = (56\,min, 8 in)[/tex]
The equation of the line is defined by the following model:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
Based on the known conditions of the bucket, we obtain the following system of linear equations:
[tex]b = 0[/tex] (2)
[tex]56\cdot m +b = 8[/tex] (3)
The solution of the system of equations is:
[tex]m = \frac{1}{7}[/tex] and [tex]b = 0[/tex]
Then, the linear function of the bucket is [tex]y = \frac{1}{7}\cdot x[/tex], where [tex]y[/tex] represents the amount of water, measured in inches, and [tex]x[/tex] is the time, measured in minutes.
What is the equation in slope-intercept form for graph shown?
A. y + x = -2
B. y - 2x = 1
C. y = 2x + 1
D. y = –2x + 1
What is 2/3 divided by 4/5
Answer:
10/8
Step-by-step explanation:
A color printer prints 20 pages in 8 minutes how many pages does it print per minute
Answer:
2.5 pages per minute
Step-by-step explanation:
20 and 8
20/8 and 1
so it is 20/8 or 2.5
2.5 per minute
Hope this helps plz hit the crown :D
Tell me everything you know about Pythagorean Theorem. Some things to include, but not limited to: Why is it that in some examples you have to subtract the square of a leg from the hypotenuse? Can this be used on every triangle? When might someone use this in real life as an adult?
Answer: Check below
Step-by-step explanation:
Okay so the Pythagorean Theorem was made by some old guy and the formula is a^2+b^2=c^2. You ALWAYS have to subtract the leg of the triangle when your finding a leg. You squareroot the square of the two legs if your finding the hypotnuse. The Theorem can be used to find any side of the triangle ONLY IF its a right triangle. An adult might use it in real life like when your an architect trying to find how much material you should use to make something thats in the shape of a right triangle.
Ps. Sorry if there's a bunch of grammar mistakes since this is kinda rushed
Difference between two numbers is three. Three times the smaller +2 times the larger is 31. What are the numbers?
Answer:
the smaller number (y) = 5
the larger number (x) = 8
Step-by-step explanation:
x - y = 3
3y + 2x = 31
solve simultaneously
7th grade mathematics, just look down at the photo:
(Pls help)
Answer choices:
A- 24
B- 8
C- 4
D- 28
Answer:
24
Step-by-step explanation:
2/3 add 2&3 then put 5 over 1. Then multiply 9x1 = 9/1 then add 5&9 =14 then subtract 14from 36
Answer:
24 or letter A is the answer :)
what is the image of (-6,-1) after a reflection over the x axis
Answer:
(-6,1)
Step-by-step explanation:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
The image of (-6, -1) over x axis is (-6, 1)
What is Reflection?By graphing y=f(-x), we may reflect the graph of any function f about the x-axis, and by graphing y=f (-x), we can reflect the graph about the y-axis
Given:
As, The x-coordinate remains constant when a point is reflected across the x-axis, but the y-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).
So, The rule for reflecting over the x axis is to negate the value of the y-coordinate of each point and leaving the x-value the same.
Hence, the image of (-6, -1) over x axis is (-6, 1)
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what is the value of k?
k = ___
Answer: The answer to this math question about finding the value of K with the given measures of the triangle is 2, you just answer the value of k = 4 which means it's incorrect, I'm sorry about that. :(
I hoped that my answer is very helpful to your own math question about finding the value of k with the given measures of the triangle, please mark me as Brainliest and have a great weekend! :D
Sincerely,
Jason Ta,
The ambitious of Brainly and the role of The TDSB and WHCI Student of The High School.
Step-by-step explanation:
Can I get help on this
Answer:
3 5/10 or 3 1/2
Step-by-step explanation:
Simplify:
(a/b)xy+xy-(5/2)xy
and
(8^3x+1)/(2^x)
Question 4 of 5
Expand the linear expression 6(7m + 2).
A. 42m +12
B. 42m + 2
C. 7m+12
O D. 42m-12
Answer:
the answer is A
Step-by-step explanation:
because 6×7 which would make it 42m and 6×2 is 12 which would be the +12
Answer:
42m+12
Step-by-step explanation: