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
Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, and swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
Chapter Reference
e
What distance did Stanley cover while biking?
Answers
The time spent for each activity can be found writing an equation based on
the known parameters.
The duration of the time Stanley spent running is 1.5 hoursThe duration of the time Stanley spent swimming is 1 hourThe duration of the time Stanley spent Biking is 3 hoursThe distance Stanley cover while biking is 48 milesReasons:
The running speed = 9 mph
The biking speed = 16 mph
Swimming speed = 2.5 mph
The time spent running = 0.5 hour + Time spent swimming
Biking time = 2 × Running time
The total distance covered = 64 miles
Required:
Time spent running, swimming, and biking
Solution:
Let t represent the time Stanley spent swimming, we have;
(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64
43.5·t + 20.5 = 64
43.5·t = 64 - 20.5 = 43.5
[tex]t = \dfrac{43.5}{43.5} = 1[/tex]
The time Stanley spent swimming, t = 1 hourThe time Stanley spent running = 0.5 + t
Therefore;
The time spent running = 0.5 hour + 1 hour = 1.5 hour
Time spent running = 1.5 hoursTime spent biking = 2 × Running time
Therefore;
Time spent biking = 2 × 1.5 hours = 3 hoursThe distance Stanley cover while biking, d = 3 × 16 mph = 48 milesLearn more here:
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The radius is 7. Find the circumference of p. Leave your answer in terms of pi.
Answers
Answer:
Step-by-step explanation:
Hi there!
According to the question;
radius (r) = 7
We know,
Circumference (c) = 2πr
= 2π * 7
= 14π
Therefore the circumference of p is 14π.
Hope it helps!
Answer:
C.
Step-by-step explanation:
Translate the sentence into an equation.
Five less than the product of 6 and a number is equal to 8.
Use the variable y for the unknown number,
Answers
There you go!
Answer:
(6 times n) - 5 = 8
Step-by-step explanation:
First we need to multiply 6 by a number and then subtract 5 from the total which will then equal to 8
Which statements are true about rational expression multiplication? Check all that apply.
The closure property states that the sum of two rational expressions is an irrational number.
Rational expressions are closed under multiplication.
The commutative property states that changing the order of two or more factors does not change the value of the product.
The associative property states that the way in which two or more factors are grouped in a product changes the value of the product.
The properties of rational expression multiplication are parallel to the properties of rational number multiplication.
Answers
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
(a) <does not refer to multiplication> FALSE
(b) Rational expressions are closed under multiplication.TRUE
(c) The commutative property states that changing the order of two or more factors does not change the value of the product. TRUE
(d) The associative property states that the way in which two or more factors are grouped in a product changes the value of the product. FALSE, the product will be unchanged.
(e) The properties of rational expression multiplication are parallel to the properties of rational number multiplication. TRUE
Answer:
The answer is B, C, E. aka, 2,3,5
Step-by-step explanation:
Here is proof! Hope you pass<33
Please i need urgent right answer
Answers
Answer:
260°Step-by-step explanation:
Find the missing angles:
m∠CDE = 360 - 312 = 48m∠DCG = 180 - m∠CDE = 180 - 48 = 132 Consecutive interior anglesm∠BCG = 180 - m∠BCG = 180 - 52 = 128 Consecutive interior anglesFind x:
x = m∠BCG + m∠DCG = 132 + 128 = 260°this one as well please
Answers
Answer:
i need points
Step-by-step explanation:
i need points
(sin^2(x)-cos^2(x))*cos(x)*sec(x) + cos^2(x)
cos and sec are inverses, so they cancel each other out leaving you with
sin^2(x)-cos^2(x)+cos^2(x)
The cos^2(x) cancel each other out leaving you with
sin^2(x)
Connor was traveling in Mexico and is returning to his home in the United States.
He has 2,567 pesos left. The current exchange rate is 1 U.S. dollar is equal to 19.43
pesos. How many U.S. dollars will he have if he converts his leftover pesos to
dollars?
$2,567
$102.68
$132.12
$3,414
Answers
Answer:
$132.12
Step-by-step explanation:
19.43 pesos = $1
2567 pesos = ?
1. First divide 2567 by 19.43 to find the exact number of dollars:
2567 ÷ 19.43 = 132.1152856
2. Round this value to 2 decimal places:
132.1152856 ≈ $132.12
Step-by-step explanation:
19.43 pesos = 1 U.S. dollar
So 1 peso = [tex]\frac{1}{19.43}[/tex] U.S. dollar
2567 pesos = [tex](\frac{1}{19.43} )(2567)[/tex] U.S. dollar
= 132.115286 U.S. dollar
please give me a brainliest answer
Create and solve another problem about Jeremiah and his lemonade stand which requires multiplying decimals
Answers
Answer:
116 ounces
Step-by-step explanation:
Hope this helps.
HELP LAST ATTEMPT!! marking as brainliest!
Answers
Answer:
i m not sure... whether it's correct or not......
bt I tried my best
3 ice cream cones cost $ 8.25
At this rate , how much do 2 ice cream cones cost ?
Answers
Answer:
The cost of 2 icecream cones is $5.50. Given data: Price of 3 icecream cones is $8.25. 1 icecream come = $(8.25÷3) =$ 2.75.
Step-by-step explanation:
Answer:
5.50
Step-by-step explanation:
8.25 divided by 3 =2.75
Then take 2.75 and multiply it by 2 and you get your answer which is 5.50
a. Find the probability that when a single six-sided die is rolled, the outcome is 1.
b. Find the probability that when a coin is tossed, the result is tails.
c. Find the probability that when a six-sided die is rolled, the outcome is 13.
a. The probability of rolling a 1 on a six-sided die is
Answers
The probability that when a coin is tossed, the result is tails = 1/2
The probability that when a single six-sided die is rolled, the outcome is 1 = 1/6
The probability that when a six-sided die is rolled, the outcome is 13 = 0
What is probability?Probability is simply how likely something is to happen.
A).
The probability that when a single six-sided die is rolled, the outcome is 1.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
All six digits are equally likely to occur.
P (occurring 1) = 1/6
B).
The probability that when a six-sided die is rolled, the outcome is 13.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
13 does not occur in the sample space.
P (occurring 13) = 0
C).
The probability that when a coin is tossed, the result is tails.
When a coin is thrown, sample space = {H, T}
Both head and tail are equally likely to occur.
P (tail) = 1/2
Learn more about probability here
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Which of the following is the solution to the quadratic equation
x2−10x+21=0 ?
Answers
Step-by-step explanation:
the answer is the image above
Answer:
x=3 and x=7
Step-by-step explanation:
x2 - 10x + 21=0
a=1, B=-10, c=21
delta= b2 - 4(ac)
if delta >0 => have two answer
x1= -b - _/delta / 2a = -(-10) - _/16 / 2.1 = 3
x2= -b + _/delta /2a = -(-10) + _/16 / 2.1= 7
Find the two numbers whose sum is54 and whose difference is 4
Answers
Answer: I can not see the picture
Step-by-step explanation:
can you show it?
Difference is 4: X - Y = 4
Solve for one variable first.
X = 4 + y (rewritten from second equation)
Now plug into the first equation for x
4 + y + y = 54
4 + 2y = 54 (subtract 4)
2y = 50 (divide by 2)
Y = 25
Now use Y to solve for X
X - 25 = 4 (add 25 on each side)
X = 29
Write the standard form equation of the parabola that passes through (20,−40),if the vertex at the origin and the axis of symmetry is vertical.
Answers
Answer:
y = -0.1x^2
Step-by-step explanation:
Start out with vertex form
y = a(x - h)^2 + k
The vertex at the origin
Therefor (h, k) = (0, 0)
y = ax^2
use point (20, -40) to find a
-40 = a(20^2)
-40 = a(400)
Divide both sides by
400
-0.1 = a
Therefor
y = -0.1x^2
This is standard form with a = -.01 and both b and c equal to zero
Is this correct or not I have been stuck for 30 min I'm exhausted lol
Answers
Answer:
Absolute maximum is (3, 7)
Absolute minimum is (1, 1)
Step-by-step explanation:
Absolute maximum is the point in a graph where the highest point is marked, in this case the graph is highest at (3, 7).Absolute minimum is where the lowest possible point is marked, in this graph, it's marked at (1, 1)Answer:
The absolute maximum values are --> x = 3 and y = 7
The absolute minimum values are --> x = 1 and y = 1
Pleas help me out here.
Answers
Answer:
A and E
Step-by-step explanation:
The given problem shows a graph of a vertical line with an undefined slope, in which its equation is x = 3 (which matches Option A).
It is not considered a function because it has the same input for every given output. This means that regardless of its y-coordinate, its corresponding x-coordinate will always be x = 3.
The Vertical Line Test allows us to know whether or not a graph is actually a function. Remember that a function can only take on one output for each input. We cannot plug in a value and produce two output values. Since the graph represents a vertical line, it automatically fails the vertical line test. Therefore, it is not a function.
Because it is not a function, Options B, C, and D are invalid answers.
Hence, the correct answers are Options A and E.
Solve for x. Help asap, please!
Answers
Answer:
[tex]x=4\frac{1}{8}[/tex]
Step-by-step explanation:
Step 1: Multiply (2x+5) by [tex]-\frac{3}{4}[/tex].
[tex]-\frac{3}{4}(2x+5)=-\frac{3}{4}*2x-\frac{3}{4}*5=-\frac{3}{2}x-\frac{15}{4}[/tex]
The equation becomes [tex]2\frac{1}{2}x-\frac{3}{2}x-\frac{15}{4}=\frac{3}{8}[/tex]
Step 2: Combine all terms that have a variable.
[tex]2\frac{1}{2}x-\frac{3}{2}x=\frac{5}{2}x-\frac{3}{2}x=\frac{2}{2}x=x[/tex]
The equation becomes [tex]x-\frac{15}{4}=\frac{3}{8}[/tex]
Step 3: Add [tex]\frac{15}{4}[/tex] to both sides of the equation.
[tex]x-\frac{15}{4}+\frac{15}{4}=\frac{3}{8}+\frac{15}{4}[/tex]
[tex]x=\frac{3}{8}+\frac{15}{4}=\frac{3}{8}+\frac{30}{8}=\frac{33}{8}=4\frac{1}{8}[/tex]
[tex]x=4\frac{1}{8}[/tex]
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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Help me plz? What is the ANSWER?
Answers
Answer:
48
Step-by-step explanation:
To solve, multiply by 6:
2*6= 12
8*6= 48
Hope this helps!
Answer:
48
Step-by-step explanation:
answer is 48 i hope it helps you
What is 6.2% of 105 also please include what equation you use to find it
Answers
Answer:
6.51
Step-by-step explanation:
105×6.2/100
it gives 6.51
someoneplz help me plzzzzzzzzzzzz
Answers
Answer:
Whats the question ???
Step-by-step explanation:
What do you need help with?
graph the line with slope 2/3 passing through the point (5,2). I need a picture of where to put the lines
Answers
what is the answer for 4|x+7|=16
Answers
Answer:
-3
Step-by-step explanation:
hope it helps
In pack of ten books, three are geometry books while the rest are book on algebra. If three books are drawn at random, what is the probability that one of them is geometry book and the others are book on algebra
Answers
Answer:
21/40.
Step-by-step explanation:
There are 3 geometry and 7 algebra books.
If the geometry book is drawn first probability = 3/10
If the second is algebra P = 7/9.
If the third is algebra P = 6/8 = 3/4.
So the probability of all three being drawn in this order = 3/10 * 7/9 * 3/4
= 63/360
= 7/40.
Now there are a total of 3 ways in the order they are drawn, That is:
GAA
AGA
AAG.
So the required probability = 3 * 7/40
= 21/40.
Plz help I need help
Answers
Answer:
Not proportional
Step-by-step explanation:
This is because there is not an equal about of feet per day
HW
Example 7: While chasing the Joker, the Batmobile was traveling at 120 miles per hour. The
Joker's get-away car was traveling at 176 feet per second. Who was traveling faster, Batman or the
Joker? Explain your answer.
Answers
Answer:
this is a trick question 176 fps is equal to 120 mph
so 120=120
Can you help<333? If not it’s gine
Answers
Answer:
It should 120 students
Step-by-step explanation:
Answer:
120 students
Step-by-step explanation:
4/7×210=120
Find the 68th term of the following arithmetic sequence.
16, 23, 30, 37,
Answers
Then just go 7(68)+8
=484
Answer:
485
Step-by-step explanation:
first term = 16
second term = 23
common difference= second -. first
=23-16
=7
68 term= a + 67d
=16+67×7
=16 +469
=485
How much has James earned since the beginning of the year in 2014? (use pay stub) *
1 point
$1,451.28
$3548.72
$5,000
Answers
PLEASE ANSWER ASAP
i can't figure out the answer