Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4
y=
Answers
Correct answer: y = [tex]\frac{1}{3}[/tex]x + 2
To find out the slope, you would need to remember this slope formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex], and (0, 2) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug these numbers into the slope formula to find out the slope:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] → [tex]\frac{2-3}{0-3}[/tex] → [tex]\frac{-1}{-3}[/tex] → [tex]\frac{1}{3}[/tex]
To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.
y = mx + b
(3) = [tex]\frac{1}{3}[/tex](3) + b
3 = 1 + b
2 = b
You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.
Now we know that m = [tex]\frac{1}{3}[/tex] and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = [tex]\frac{1}{3}[/tex]x + 2.
Hope this helps you! Let me know if you have any more questions related to this problem.
Related Questions
The question is in the screenshot!!
Answers
The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
(a) Show that k satisfies k^2+2k-3>0
Answers
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
To show that k satisfies k² + 2k - 3 > 0 ,the discriminant is given as Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
How to prove the expressionTo have two distinct real roots, the discriminant of the quadratic equation must be positive. The discriminant is given by;
Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
For two distinct real roots, Δ > 0. So, we have k² + 2k - 3 > 0. Thus, k satisfies the inequality k² + 2k - 3 > 0.
In summary, for the quadratic equation x² + (k - 3)x + (3 - 2k) = 0 to have two distinct real roots, the value of k must satisfy the inequality k² + 2k - 3 > 0
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Given the relation shown in the table below :
Answers
Answer:
domain: -7, -1, 0, 1
Range: -1, 0, 1, 2, 7
Step-by-step explanation:
I don't know the drop-down menu choices so I can't answer that one for you sorry :(
But I hope this helps :)
what is the value of 17-2(5-3)
Answers
Answer:
13
Step-by-step explanation:
17-10+6
7+6=13
hope it helps
What is the length of ef in the right triangle below?
Answers
Answer: A
Step-by-step explanation:
Using pythagoras;
[tex]25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2} \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24[/tex]
Please give me a brainliest answer
Answer:
24Step-by-step explanation:
The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2. While if a, b, and c are the sides of the triangle, then c2 = a2 + b2.
√(25²-7²) =
√(625-49)=
√576=
24
what is 4/5 divided by 2/3 simplest
Answers
Answer:
1 1/5
Step-by-step explanation:
4/5 ÷ 2/3
4/5 × 3/2
12/10
6/5
1 1/5
What is 24659 rounded to the nearest Highest Place
Answers
Answer:
20000
Step-by-step explanation:
You take the first non zero number on the left then add zeros for the remaining digits.
-3-(-5)What is the answer to this equation
Answers
Answer:
2Step-by-step explanation:
[tex] - 3 - ( - 5) \\ - 3 + 5 \\ 2 \\ [/tex]
ALGEBRA question 100 POINTS. Easy
Answers
Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7
Step-by-step explanation:
Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7
Step-by-step explanation: I am sure of my answer
please help me with this sum
Answers
Answers:
59 × 9 = 531
63 × 8 = 504
83 × 4 = 332
38 × 5 = 190
72 × 6 = 432
48 × 4 = 192
19 × 3 = 57
58 × 2 = 116
73 × 8 = 584
60 × 7 = 420
36 × 5 = 180
56 × 7 = 392
75 × 3 = 225
63 × 6 = 378
73 × 3 = 219
70 × 5 = 350
57 × 6 = 342
53 × 7 = 371
27 × 6 = 162
29 × 4 = 116
73 × 3 = 219
49 × 9 = 441
92 × 2 = 184
57 × 9 = 513
36 × 3 = 108
A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?
Answers
Answer:
2 in 16
Step-by-step explanation:
CE TASK
V.
3
The carpenter spent 7/8 of his money on bags of sand for the sandbox. He spent 1/2 of the rest
of his money on some packs of bunting flags to decorate thesandbox and had $19.90 left How much money did the carpenter start with? Draw a bar model to show your work
Answers
Determine how much money did the carpenter start with
The total money with the carpenter is $318.4
Given:
let
x = total money with the carpenter
Bags of sand = 7/8 of x
= 7/8x
Money remaining = x - 7/8x
= (8x-7x) / 8
= 1/8x
Bags of bunting bags = 1/2 of 1/8x
= 1/2 × 1/8x
= 1/16x
Money left = $19.90
Total money = bags of sand + bag of bunting flag + money left
x = 7/8x + 1/16x + 19.90
x = (14x + x) / 16 + 19.90
x = 15/16x + 19.90
x - 15/16x = 19.90
16x - 15x / 16 = 19.90
x/16 = 19.90
divide both sides by 1/16
x = 19.90 ÷ 1/16
= 19.90 × 16/1
= 318.4
Therefore, the total money with the carpenter is $318.4
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https://brainly.com/question/7852538
Describe a way to make the arithmetic problem 45% x 680 mentally
Answers
Answer:
306.
Step-by-step explanation:
Firstly, we are aware 100% of 680 is obviously 680,
Next, we know half of a 100% is 50% therefore half of 680 is 340.
Then, we know 45% is 5% less than 50%
To find 5% of a number mentally, divide it by 10 as 100÷5=20
680÷20=34
Lastly 50% subtracted by 5%: 340-34=306.
Now we know, 45% of 680 is 306.
Hope this helps.
Hope this helps.Please mark BRAINLIEST.
Multiply or divide.
[tex] \frac{8}{12} = \frac{?}{?} = \frac{?}{?} [/tex]
Answers
Answer
8/12=4/6=2/3
When simplifying, if both the numerator and the denominator are even you can just divide them by two
create a equation for this exponential function
Answers
Answer:
f(X) 70x49
Step-by-step explanation:
(7x)(2xy) how do I rewrite that as a sum
Answers
how would I write 6 less than a number
A.6-X
B.6X
C.X-6
D.X/6
Answers
Answer:
C) X-6 , In subtracting the first number is greater than the second.
Hope it's help.
I am a 4digit numbe the sum of my middle two digit is 6 remove my middle two digit and Iwill become95. The digit inthe hundred place is 9less than the digit in the thousand place What number am I
Answers
Answer:
9065
Step-by-step explanation:
A Four digit Number
sum of A+B=6
Hundreds Place is 9 lesser than thousand Place
2 Middle Number remove = 95
Thousand= 9
Hundreds = 0
Tens=6
Ones=5
Answer:
here you go
Step-by-step explanation:
0+6 = 6
remove two middle numbers i become 95 which means the two outer numbers are 9 and 5
answer is 9065
******Please help me please help me help please help*****
Answers
9514 1404 393
Answer:
(c) y = 36·5
Step-by-step explanation:
If x represents the number of chocolates, the given formula ...
y = kx
with the values k = 36 and x = 5 inputted will look like ...
y = 36·5
Find the gradient of the line Joining the points p(-2,6) and Q(3,-2)
Answers
Answer:
[tex] - \frac{8}{5} [/tex]
Step-by-step explanation:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.
Gradient of the line
[tex] = \frac{6 - ( - 2)}{ - 2 - 3} [/tex]
[tex] = \frac{6 + 2}{ - 5} [/tex]
[tex] = - \frac{8}{5} [/tex]
2x=20−2
Value of x!!!
Answers
Answer:
[tex]\sf\longmapsto \: x = 9[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 20 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 18[/tex]
[tex]\sf\longmapsto \: x = \frac{18}{2} [/tex]
[tex]\sf\longmapsto \: x = 9[/tex]
Hello there! :)
2x=20-2
2x=18
Divide both sides by 2 to isolate x:
x=9
Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
What is 906 times 45
Answers
Answer:
40770
........................
Answer:
40,770
Step-by-step explanation:
Determine if the equations are intersecting, parallel, or coincident.
-2 +y = 8
- 3x + 4y = 28
intersecting
coincident
parallel
Answers
In the month of September, all of the Kroger grocery stores in Nashville sold 429,382 eggs. In that same month, all of the Kroger grocery stores in Memphis sold 283,054 eggs. How many eggs did the Nashville and Memphis Kroger grocery stores sell all together in the month of September? Use 2 strategies to show how you found out how many eggs Kroger sold in September.
Answers
Answer:
712436 eggs were sold together
Step-by-step explanation:
429,382 + 283,054 = 712436
In the equation x² + 64 = 16x, the roots are ____.
Answers
Answer:
square roots are x, 8, 4x
Step-by-step explanation:
x^2 square root is x
64 square root is 8
16x square root is 4x
The property tax on a house with an assessed value of $606,000 is $7070. Determine the property tax on a house with an assessed value of $810,000, assuming the same tax rate.
The property tax is $___?
Answers
Answer:
9450
Step-by-step explanation:
.........................
Plz help me
Determine whether the following sets form subspaces of R^3:
(a) {(x1,x2,x3)^T |x1+x3=1}
(b) {(x1,x2,x3)^T |x1=x2=x3}
Answers
Answer:
a.
Step-by-step explanation:
hope it's helpful
brainliest me pls
answer I'll give brainliest to the first one
SERIOUS ANSWERS ONLY
10 points
Answers
Answer:
1: 24 girls
2: 640
3: 300
4: 3/10
5: 42
Step-by-step explanation:
1: 2/5 × 40
80÷ 5
16
girls = 40- 16
= 24
2: 1/3 × 960
960 ÷3
= 320
Left = 960 - 320
= 640
3: 3/8 × 480
1440 ÷ 8
= 180.
Left = 480 - 180
= 300
4: 2/5 × 3/4
= 6/20
= 3/10
5: 2/5 × x = 18
2x = 28 × 5
2x = 140
x = 70
70 - 28
= 42
Step-by-step explanation:
1. 24 girls
2.600
3.300
yan lang alam ko insan
Simplify 12 to the power of 3 over 12 to the power of 7
A). 12 to the power of 4
B). 12 to the power of 10
C). 1 over 12 to the power of 4
D). 1 over 12 to the power of -4
Answers
Answer:
The correct answer I think is D
Step-by-step explanation:
The explanation of the other person is right, but you do 3-7, which gives u -4
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