How do i graph -7x-2y=-21???
Answers
Answer:
-7/2 is the slope. -10.5 is your starting point on the y-axis. You go from -10.5, up 7 and over to the left 2 times because it's negative.
Step-by-step explanation:
-7x-2y=-21
-2y=7x-21
y=-7/2x-21/2
y=-7/2x-10.5
Hope this helps!
You might want to simplify the equation first. Basically, we'll use y = ax+b instead.
[tex]-7x-2y=-21\\-2y=-21+7x\\y=\frac{-21}{-2}+\frac{7x}{-2} \\y=\frac{21}{2}-\frac{7x}{2}\\y=\frac{21-7x}{2}[/tex]
Should have been like this then you are able to graph.
To graph, you need to find the x-intercept and y-intercept.
(1) Find x-intercept, substitute y = 0
[tex]0=\frac{21-7x}{2} \\0=21-7x\\7x=21\\x=3[/tex]
Thus, the graph has a x-intercept at (3,0). For those who are wondering where does the fractional 2 go, just multiply the whole equation by 2 to get rid of the fraction.
(2) Find y-intercept, substitute x = 0
[tex]y=\frac{21-7x}{2}\\ y=\frac{21-0}{2}\\ y=\frac{21}{2} \\[/tex]
Also 21/2 = 10.5, Thus the graph passes y-axis at (0, 10.5)
Now plot the graph, make a line from x-intercept and y-intercept and you should get like this (Picture below.)
Related Questions
how many solutions does this equation have?
7(2+5x)=3x+14
Answers
Answer:
none
Step-by-step explanation:
If you use the distributive property, you get 14 + 35x = 3x + 14. Then, subtract 3x from both sides to get 14+32x=14. Subtract 14 from both sides to get 32x= 0. These aren't equivalent, so there are no real solutions. Hope this helps!
The equation has only one solution which is equal to 0
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given: The system of linear equations as 7(2+5x)=3x+14
simplifying the equation we get
7(2+5x)=3x+14
14+35x=3x+14
32x=0
x=0
Hence, The equation has only one solution which is equal to 0
Learn more about linear equations here:
https://brainly.com/question/29739212
#SPJ2
1. The line through A and B has a slope = _____ and y-intercept = _____
2. Write an equation for this line. ________
Answers
Answer:
1. slope= 1/2; y intercept=3
2. y= 1/2x+3
Step-by-step explanation:
The slope is equal to the y value of b minus the y value of a OVER the x value of b minus the x value of b. This simplifies to 1/2.
If the slope is 1/2, you can see that for every 1 that the line rises, its x value increases by 2. Since you know the when the x value is 2, the y value is 4, decreasing the x value by 2 (making it 0) would make the y value 3.
I am going to keep this simple and I am going to help people out who need points. What is 4 x 9?
Answers
Answer:
36
Step-by-step explanation:
4x+13x=119 what does x=?
x=7
Answers
Answer:
x = 7
Step-by-step explanation:
Given
4x + 13x = 119 ( collect like terms on left side )
17x = 119 ( divide both sides by 17 )
x = 7
Answer:
x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+13x=119
Step 1: Simplify both sides of the equation.
4x+13x=119
(4x+13x)=119(Combine Like Terms)
17x=119
17x=119
Step 2: Divide both sides by 17.
17x
17
=
119
17
x=7
Answer:
x=7
PLEASE HELP ASAP 100 PTS can u also find the value of y. the options for the y questions are
square root of 55
6
16
8 sqrt 3
Answers
Answer:
The value of x is 16
Step-by-step explanation:
x=16
if you only have 2 gallons of gas left, you can only travel 26 more miles. If I need to travel 91 miles, how many gallons of gas would I need?
Answers
Answer:
7
Step-by-step explanation:
If 2 gallons gets you 26 miles, then you get 13 miles per gallon. If you need to go 91 miles, you divide that by the 13 per gallon, and you get 7.
Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid off. What is the y-intercept and the slope??
Answers
(4, -3) and (8, -3)
Answers
Answer:
slope=0/4
Step-by-step explanation:
[tex]\frac{-3 + 3}{8-4}[/tex]
0/4
Answer:
-3 - (-3) / 8 - 4 = 0/4 = 0
Step-by-step explanation
what is the slope of the line in the graph?
Answers
Answer:
It is one. I believe, sorry if i'm wrong.
Step-by-step explanation:
Answer:
y= x +1
Step-by-step explanation:
You could use the slope formula y2-y1/x2-x1, what I did was I took the og equation y=x and I noticed it was vertically shifted by 1. Thus, y=x+1
Isaiah is a college student who rents an apartment that costs $755 a month. Each month, Isaiah receives $250 from his parents and $225 from a scholarship to help pay for the rent. Isaiah works at Ringling Telemarketing Company, making $10 an hour. Which of the following inequalities can be used to determine the number of hours, x, that Isaiah must work to pay his rent each month?
1.)10x-475≤755
2.)475x+10≥755
3.)10x+475≥755
4.)10x+475≤755
Answers
Answer: 3
10x+475≥755
Answer:
the 3rd one
Step-by-step
i think its right, i hope :)
An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.
1) What is the total amount in the account if the interest rate for the account is 3% each year?
Answers
Answer:
2431.311498
Step-by-step explanation:
Given the model:
A(x)= 800x^4 + 350x^3 + 500x^2 + 600x
x = growth factor = (1 + rate)
If rate = 3% ; x = (1 +. 3%) = (1 + 0.03 = 1.03
Hence,
A(1.03)= 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)
= 2431.311498
This is the amount in account after 4 years, if the interest rate is 3% and growth rate = (1 + rate)
Applying the formula, it is found that the total amount in the account will be of $2,431.3.
The amount in the account after 4 years is given by:
[tex]A(x) = 800x^4 + 350x^3 + 500x^2 + 600x[/tex]
In which the growth factor is x = 1 + r, in which r is the interest rate, as a decimal.
In this problem, interest rate of 3%, hence [tex]r = 0.03, x = 1 + r = 1 + 0.03 = 1.03[/tex].
Then:
[tex]A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03) = 2431.3[/tex]
The total amount in the account will be of $2,431.3.
A similar problem is given at https://brainly.com/question/22995738
If a point M at (3,-2) is reflected over the y=0 line,what would be the coordinates of M?
Answers
Answer: The coordinates of M would be (3,2).
Step-by-step explanation: I don't know how to explain but I'm 100% sure this is the answer. Your welcome :)
If 6 pounds of blueberries costs $16.50, is $1 for 2.75 pounds of blueberries true?
Answers
Step-by-step explanation:
Hmm I'm not sure but (no) I think
6 pounds = $16.50
1 pound = $16.50 ÷ 6
=$2.75
$16.50 = 6 pounds
$1 = 6 ÷ $16.50 = 4/11 pounds (0.36363636......)
Juan is saving money to buy a game. So far he has saved ,$12 which is three-fourths of the total cost of the game. How much does the game cost?
Answers
answer: 16
how? 100/4 = 25
3/4 = 0.75 because 25 x 3 = 0.75
0.75x = 12
12/0.75 = 16
Answer:
$16 :)
Step-by-step explanation:
In response to a gss question in 2006 about the number of hours spent per day watching television, the responses by the fifteen subjects who identified themselves as Buddhist were 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, and 5. For these fifteen subjects, the mean number of hours spent per day watching television is 1.93 hours. What is the standard error of this mean estimate?
Answers
Answer:
Standard error = 0.4
Step-by-step explanation:
Step 1
We find the Standard Deviation
The formula = √(x - mean)/n - 1
n = 15
Mean = 1.93 hours
= √(0- 1.93)² + (0-1.93)² +(0- 1.93)²+( 0- 1.93)²+ (1- 1.93)² + (1- 1.93)² +(1 - 1.93)² +(2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + ( 2 - 1.93)² +(4 - 1.93)² +(4 - 1.93)² + (5 - 1.93)²/15 - 1
= √(3.737777776 + 3.737777776 + 3.737777776 + 0.871111111 +0.871111111 + 0.871111111 + 0.004444444445+ 0.004444444445 + 0.004444444445 + 0.004444444445 + 0.004444444445 + 1.137777778 + 4.271111112 + 4.271111112 + 9.404444446)/15 - 1
= √2.352380952
= 1.533747356
Step 2
We find the standard error
The formula = Standard Deviation/√n
Standard deviation = 1.533747356
n = 15
= 1.533747356/√15
= 1.533747356 /3.87298334621
= 0.39601186447
Approximately = 0.4
Therefore, the standard error is 0.4
name the following line 6 different ways
Answers
Answer:
what line??
Step-by-step explanation:
If a system of equations has one solution, what does the graph look like?
O parallel lines
O intersecting lines
O skew lines
O the same line
Answers
Determine whether AB and CÓ are parallel, perpendicular or neither.
A=(-2,-1) B=(4, 1)
C=(-2,3)
D= (0, - 2)
Answers
Answer:
Neither
Step-by-step explanation:
They do not form a 90° angle(so it's not perpendicular)
And they touch(so it's not a parallel)
What is the slope of a line that is perpendicular to the line y=-1/3x-6
OA. 3
OB. 1/3
OC. -1/3
O D. 3
Answers
Answer:
3
Step-by-step explanation:
3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.
prove the two triangles are similar
use photo for details
Answers
Answer:
the sides are congruent.
6=-r/3;r
Help ASP it’s urgent
Answers
Answer:
bro what
Step-by-step explanation:
yeha
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the maths linear algebra,
here, we solve as,
6 = -r/3
=> -r = 6×3
hence, r = -18
What is the number a solution of 6x-3>10?
Answers
Answer:
x > 1.167 (rounded to the nearest thousandth)
Step-by-step explanation:
Original Equation:
6x - 3 > 10
Add 3 to both sides
6x > 7
Divide both sides by 6
x > 1.1666666. . .
x > 1.167 (rounded to the nearest thousandth)
Hope I helped :)
Please consider Brainliest :)
Can anyone tell me how to break apart the following number: 6359
Answers
Answer:
6000 + 300+ 50 +9
Step-by-step explanation:
Start by focusing on the thousands place. Then switch to hundreds then to tens and finally to ones place.
Number 1 please ITS URGENT HELP PLSPLS
Answers
Answer:
The area of B is 8 cm²
Step-by-step explanation:
From the diagram, we can tell that the scale factor is 2 because the length of A is 6 cm and the length of B is 12 cm so the scale factor is 2. Since diagram A's area is 4 cm², all we need to do is multiply the diagram A's area by 2. That gives diagram B's area which is 8 cm²
PLEASE helppp. What equation describes a line that is perpendicular y=-2/7x+5 and has the same y-intercept as y = 3x - 2?
Answers
Answer:
y = 7/2 -2
Step-by-step explanation:
if the slope of the first problem is -2/7 then its perpendicular is 7/2 (the exact opposite) and since the y- intercept is the b in Y= mx +b the intercept of the equation you’re trying to find is -2
What is the value of 1
--
6^0
Answers
Answer:
2
Step-by-step explanation:
The average age of 3girls is 17years 4months.The average 2 of them is 17years 3months. How old is the third girl?
Answers
Answer:
17 years 2months
Step-by-step explanation:
Beacause the last girl is young
Katy is between Houston and San Antonio. If the distance from Katy to San Antonio is 2 x x 5 miles and the distance from Katy to Houston is 4 12 x miles. The total distance from Houston to San Antonio is 120 miles . Then How far is it between each City?
Answers
Answer:
It is hard to read what you actually wrote, but i guess this is:
Distance to San Antonio = 2*5*x mi
Distance to Houston = 4*12*x mi
Distance from Houston to San Antonio = 120mi
Then we must have that:
2*5*x mi + 4*12*x mi = 120mi
(2*5 + 4*12)*x mi = 120mi
(10 + 48)*x mi = 120mi
x mi =120/58 mi = 2.06 mi
Now we can replace it in the above equations:
Distance to San Antonio = 2*5*2.06 mi = 20.6 mi
Distance to Houston = 4*12*2.06 mi = 98.88 mi
Gi dont understand how to find Which ordered pair is a solution of the equation? y=8x+3
Answers
Answer:
(1, 11 ) is a solution
Step-by-step explanation:
To obtain a solution, choose any value of x, substitute into the equation and evaluate for y, that is
choose x = 1, then
y = 8(1) + 3 = 8 + 3 = 11
Thus (1, 11 ) is a solution
choose x = - 2 , then
y = 8(- 2) + 3 = - 16 + 3 = - 13
Thus (- 2, - 13 ) is also a solution
Lets go over the solutions.
Let's start with (1, 11). After substituting x = 1 and y = 11, it results in the equation 11 = 11, which is a true statement. Hence, this is one solution.
Now, let's look at (-1 -5). After substituting x = -1 and y = -5, it results in the equation -5 = -5, which is also a true statement. So, this being said, (-1, -5) would also be a solution.
Hence, our two solutions are:
Both [tex](1, 11)[/tex] and [tex](-1, -5)[/tex].
Hope this helps!
What is the distance between points A and E?
A. 2.8
B. 3.2
C. 4.9
D. 5.7
Answers
Answer:
D. 5.7
Step-by-step explanation:
due to its reflection
Answer:
D
Step-by-step explanation:
A(3, 4) ; B(-1 , 0)
Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
= [tex]\sqrt{(-1-3)^{2}+(4-0)^{2}}\\\\=\sqrt{(-4)^{2}+(4)^{2}}\\\\=\sqrt{16+16}\\\\=\sqrt{32}\\\\=\sqrt{2*2*2*2*2}\\\\=2*2\sqrt{2}=4\sqrt{2}[/tex]
= 4 * 1.4142
= 5.6568
= 5.7