Determine the x-intercept and the y-intercept for the graph of this equation:
2x - 3y + 36 = 0
Answers
QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.
EQUATION:- 2x - 3y + 36 = 0
STANDARD EQUATION:- y=mx+c
where
m-> slope.c-> Y-INTERCEPTx&y are the coordinates.SO GIVEN EQUATION:- 2x - 3y + 36 = 0
WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION
[tex]2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = \frac{2}{3} x + \frac{36}{3} \\ y = \frac{2}{3} x + \frac{ \cancel{36}^{ \: \: 12} }{ \cancel3} \\ y = \frac{2}{3} x + 12 \\ [/tex]
SO :-
[tex]m = \frac{2}{3} \\ y - intercept = 12 \: ans[/tex]
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ \frac{2}{3} = \frac{0 - 12}{x - 0} \\ 2x = ( - 12) \times 3 \\ x = \frac{ - \cancel{12}^{ \: \: 6} \times 3 }{ \cancel{2}} \\ x = - 18 \: \: ans[/tex]
Related Questions
Find the value of the variables.
Answers
Answer:
d=8√2 = 11.31
x=3√3 = 5.20
y=6√3 = 10.39
Step-by-step explanation:
d²=8²+8²
d²=64+64
d²=128
d=√128
d=√64*2
d=8√2 = 11.31
30-60-90 triangle
x-x√3-2x
x√3=9
x=9/√3
x=3√3
y=2x
y=2 * 3√3
y=6√3
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of
the tree were measured. The
length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet
6 inches. What is the height of
the tree?
Answers
Answer:
17.25
Step-by-step explanation:
How do I write 4 times difference of a number and 8
Answers
Answer:
4(n-8)
Step-by-step explanation:
4(n-8)
I think it'd be written like this
Your family is
moving. A rental truck
costs $40, plus $0.15 for
every mile driven. Write
an equation to
represent the total
cost, c, of the moving
truck.
Answers
Answer: 4.15
Step-by-step explanation:
Choose the correct answer to 1,889 ÷ 36.
52 R17
51 R53
52 R15
42 R17
Answers
It is the right answer
Please help with this
Answers
Answer:
the value of ST is 2 of its x is 2
Find the inverse of f(x) = 1/2x + 3
Answers
Firstly, we subtract 3 from both sides. This gives us x - 3 = 1/2y. Next, we multiply both sides by 2 to isolate y. This gives us 2(x - 3) = 1/2y. Then, we have 2x - 6 = y.
The answer is f(x) = 2x - 6
Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y ≥ 1/2x + 1
A. (-1,3)
B. (0,2)
C. (1,2)
D. (2,-1)
E. (2,2)
Answers
Explanation:
B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.
Let's check each option:
A. (-1,3)
The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.
The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.
B. (0,2)
The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.
The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.
C. (1,2)
The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.
D. (2,-1)
The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.
The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.
E. (2,2)
The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.
Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).
Learn more about inequalities here:
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does he like me (´༎ຶོρ༎ຶོ`)
yes or no !
Answers
Answer:
no he is dead
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Jodie made a New Year's resolution to learn how to play the violin. She bought an
Introduction to Violin class pack from the Noble Notes music shop, which covers the cost of
12 violin lessons. She also paid $25 to rent a violin. In all, Jodie paid $385. How much does
each violin lesson cost?
Answers
Answer:
$30
Step-by-step explanation:
If x is the cost of a lesson, the total cost of Jodie's purchase is ...
cost of lessons + rental cost = total cost
12x + 25 = 385
12x = 360 . . . . . . . subtract 25
x = 30 . . . . . . . . . . divide by 12
Each violin lesson costs $30.
Describe the correlation of the following data:
strong, positive
strong, negative
weak, positive
weak, negative
Answers
Answer:
Weak and positive
Step-by-step explanation:
I just said it
The correlation of the data provided is Weak and the positive option (C) is correct.
What is a regression line?A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have a scatter plot shown in the picture.
As we can see in the dot plot the dots are scattered so much so there will be a very weak correlation between the variables.
As we know, the correlation is the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
The formula for the regression coefficient:
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
Drawing a line of best fit, we will see the correlation is Weak and positive.
Thus, the correlation of the data provided is Weak and the positive option (C) is correct.
Learn more about the regression line here:
brainly.com/question/7656407
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In the equation, y=3x+2, is the point (2,8) a solution the equation?
1: Yes, the point is solution
2: No, the point is not a solution
Answers
Answer:
Given: The equation of the line y = 3x+2
The condition for a point to be on a line is to satisfy its equation
(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation
3 = 3(1/3) + 2
= 1 + 2
= 3
Hence, (1/3, 3) lies on the line
(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation
8 = 3(2) + 2
= 6 + 2
= 8
Hence, (2, 8) lies on the line
(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation
2 = 3(0) + 2 = 2
Hence, (0, 2) lies on the line(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation
19 = 3(7) + 2
= 21+ 2
= 23 ≠ 19
hence, (7,19) doesn’t lie on the line• Therefore ,Yes the point is a solution .Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!The point (2,8) means that whenever x=2, the y=8.
If you substitute x=2, then y=3(2)+2=8!
Write an expression that is equivalent to -3(2x+5)-3x+6
Answers
Answer:
-9x - 9
Step-by-step explanation:
Combine like terms.
-3 • 2x= -6x. -3 • 5= -15
-6x - 15 - 3x+ 6
-9x - 9
4. Mario planted a total of 150 eggplant and pepper seedlings. If he planted 50%
more pepper seedlings than the eggplants, how many pepper seedlings did he
plant?
Answers
Answer:
225 pepper seedlings.
Step-by-step explanation:
WAY 1: common sense
half of 150 is 75
75 + 150 = 225
WAY 2: % of number
convert % to decimals (/100)
0.5 x 150 = 75
150 + 75 = 225
ILL GIVE BRAINLIEST
ALGEBRA 2 There are several methods for solving quadratic equations. But why don’t we use the same method every time? Wouldn’t that be easier?
What is your preferred method for solving quadratic equations? Describe the method in your own words and explain why you prefer it over the other methods.
What are the limitations of your preferred method?
Please follow these guidelines for your discussion posts:
Write at least 150–300 words.
Answers
Answer:
See below
Step-by-step explanation:
I'll provide an example to help you. Let's say we were solving [tex]x^2+5x-7=0[/tex] and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.
Now let's do another one. [tex]x^2+5x+6=0[/tex] for example can be written as [tex](x+2)(x+3)=0[/tex] and we can easily get [tex]x=-2[/tex] and [tex]x=-3[/tex] as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.
Hopefully, this explanation helps you to think of your discussion post!
Divide the fractions and reduce to lowest terms: 2/5÷3/12
Answers
Answer:
8/5
Step-by-step explanation:
You can rewrite the equation to 2/5 * 12/3
Which is equal to 2/5*4
So 2 times 4 is 8
So the answer is 8/5
Hope this helps!
Evaluate the expression
-11^3
The value of the expression is
Answers
Answer: - 1331
Step-by-step explanation:
(-11)(-11)(-11)
(121)(-11)
- 1331
If you have a book to read that is 20 pages, and you have read 15% of the book, how many pages as you read?
Answers
Answer:
you would of read 3 pages
Step-by-step explanation:
5. What are the slope and y-intercept of the graph of y= 30 + 5?
Answers
Find the equation of a line parallel to line y = 6 that passes through the point (-2,-1).
Answers
The line y = -1 parallel to line y = 6 that passes through the point (-2,-1).
Question Find the difference of (t−8)−(t+15)
Answers
Answer:
-23
Step-by-step explanation:
(t-8) - (t + 15)
t - 8 - t - 15
-8 - 15
-23
Help me pleas asap and pleas show your work
Answers
Answer:
9/10
Step-by-step explanation:
Convert: 3/5 * 6/5=18/25
Simplify and Round it towards 9/10
What is greater -5 1/2 or 6.5
Answers
Answer:
6.5
Step-by-step explanation:
As we can see: -11/2 < 13/2
So -5 1/2 < 6.5
PLEASE HELP WITH ALGEBRA WILL GIVE BRAINLIEST
Answers
Answer:
x^5/4
Step-by-step explanation:
The first one
Elsa makes a poster that is 1.5 m tall. Greg makes a poster that is 96 cm tall. Who makes a taller poster?
Answers
Answer:
dont mind me just grinding for points
Step-by-step explanation:
David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?
Answers
Answer:
3,700
Step-by-step explanation:
I know it's black because I did it in my head
if r and s represent the solutions of the equation below and r>s, what is the value of the difference r-s?
(3x+14)x=5
Answers
Answer:
16/3
Step-by-step explanation:
(3x + 14)x = 5
3x² + 14x = 5
3x² + 14x - 5 = 0
3x² + 15x - x - 5 = 0
3x(x + 5) - 1(x + 5) = 0
(3x - 1)(x + 5) = 0
x = 1/3 & -5
Here,
r = 1/3
s = -5
r - s
1/3 - (-5)
1/3 + 5
1 + 15/3
16/3
the value of the difference r-s is [tex]\bold{\frac{16}{3}}[/tex]
Answer:
Solution given:
(3x+14)x=5
opening bracket
3x²+14x=5
3x²+14x-5=0
Doing middle term factorisation
3x²+(15-1)x-5=0
3x²+15x-x-5=0
3x(x+5)-1(x+5)=0
(3x-1)(x+5)=0
either
x=-5
or
3x-1=0
3x=1
x=⅓
According to question value of x is r>s
so
⅓>-5
so
r=⅓
and
s=-5
Now
r-s=⅓-(-5)=[tex]\frac{1+5*3}{3}=\frac{16}{3}[/tex]
Select all relations that represent function
Answers
whats the answer pls
Answers
Answer:
y=0.75x-1
Step-by-step explanation:
what is the lowest common denominator for 2/3 and 3/5
Answers
Answer:
15
Step-by-step explanation:
3 times 5 is 15
