*100 POINTS* *100 POINTS*
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answers
Answer:
y = - 1/3x - 5Step-by-step explanation:
Use two given points (-6, -3) and (6, -7) to find equation of the line.
The slope:
m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3The y - intercept is also visible on the graph (0, -5):
b = -5The line is:
y = - 1/3x - 5Answer:
[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the graph to find the equation of the line we must first find the slope
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
Using the points (-6 , -3) and (6,-7) we have
[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]
Next we use the slope that has been found and one of the points to find the equation of the line
To find an equation of a line when given the slope and a point we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is the point
From the question using slope -1/3 and point (-6,3) we have
[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]
The equation of the line in slope-intercept form is
[tex]y = - \frac{1}{3} x + 1 \\ [/tex]
Hope this helps you
Related Questions
A theater always sets the price of a seat on the lower level, a, as $5 more than the price of a seat in the balcony, b. This situation is represented by the function a = 5 + b.
Answers
Answer:
I took the test
Step-by-step explanation:
help..................
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Answer:
Line A
Step-by-step explanation:
PLEASE HELP!!!! Prove and state whether the functions below are inverse functions.
Answers
Answer:
Step-by-step explanation:
y = 5x - 2
5x = y + 2
x = [tex]\frac{y}{5}[/tex] + [tex]\frac{2}{5}[/tex]
y = [tex]\frac{x}{5}[/tex] + [tex]\frac{2}{5}[/tex] is inverse function of y = 5x - 2
5x - 2 and [tex]\frac{1}{5}[/tex] x + 2 are not inverse functions
Enter an expression equivalent to (x^4 y^3 y)^2 in the form x^m y^n
Answers
Answer:
Step-by-step explanation:
The approximate areas of Georgia and South Carolina are listed below:
Georgia: 1.54\times 10^{5}1.54×10^5
square kilometers
South Carolina: 8.29\times 10^{4}8.29×10^4
square kilometers
How many times larger is Georgia than South Carolina? Write your answer in standard notation, rounding to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
BRAINLIEST
Can I get some help on this assignments it’d take a lot of stress away from me
Answers
Answer:
Question=Q
Q2=18.9
Q3=26.7
Q4=24.8
Q5=35.6
Here are some answers
Remember if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
Have a wonderful day!
write down three integers below 25 with the range of 10 and the mean of 13
Answers
Answer:
8, 13, 18
Step-by-step explanation:
Middle number is 13, there are only 3
Max is 10/2 more so 18
Min is 18-10
( ꈍᴗꈍ)
introduction to algebra explain
Answers
Answer:
Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.
Step-by-step explanation:
In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
Hiiii!
Here's what algebra is:
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.
In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.
Hope it helps! ( ꈍᴗꈍ)
-Nezuko
Find the perimeter. Simplify the answer.
Answers
Answer:
34p - 16
Step-by-step explanation:
Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10
Perimeter = 16p + 18p + 4 - 20
Perimeter = 34p - 16
-Chetan K
we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]
ok done. Thank to me :>
How to find the b value in slope intercept form.
Answers
help me with this please
Answers
Answer:
12
Step-by-step explanation:
[tex]1/3(3)(12)[/tex]
The 1/3 and 3 cancel and you are left with
[tex]12[/tex]
Which answer describes the transformation of g(x)=log2(x−2)+4 from the parent function f(x)=log2x ?
a.) It is the graph of f(x) shifted 2 units left and 4 units down.
b.) It is the graph of f(x) shifted 4 units right and 2 units up.
c.) It is the graph of f(x) shifted 4 units left and 2 units down.
d.) It is the graph of f(x) shifted 2 units right and 4 units up.
Answers
Option D
for the (x-2) we move to the right 2 and for the +4 we go up 4
The transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.
How to determine the transformation?The functions are given as:
Transformed function: g(x)=log(x−2)+4 Parent function f(x)=log(x)Translate the parent function 2 units right
This gives
f'(x) = log(x - 2)
Translate the function 4 units up
This gives
f''(x) = log(x - 2) + 4
So, we have:
g(x) = f"(x)
The above means that the transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.
Read more about function transformation at:
https://brainly.com/question/4025726
Quadratic Transformation Worksheet Nam Write the quadratic equation,
1. y = (x - 2)2 + 0
Answers
M-ental
A-buse
T-o
H-umans
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(05.05)
Select the inequality that corresponds to the given graph. (5 points)
Answers
Answer:
3) 4x-2y (less than) -8
Answer:
Option 3: 4x - 2y < -8
Step-by-step explanation:
Given the graph of a linear inequality with a dashed line as its boundary line:
Quick Note:To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.
Hence, we can easily rule out Option 4: 2x + 4y ≥ -16, since the solid boundary lines are used to represent linear inequalities with "≥" or "≤" symbols. Solutions:It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.
Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:
Option 1: 4x - 3y > -124x - 3y > -12
4(0) - 3(0) > -12
0 - 0 > -12
0 > -12 (True statement). Hence, the half-plane region that contains the test point must be shaded.
Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.
Option 2: x + 4y > 4x + 4y > 4
(0) + 4(0) > 4
0 + 0 > 4
0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded. Hence, Option 2 may be a valid solution.
We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:
x + 4y > 4
x - x + 4y > - x + 4
4y > -x + 4
Divide both sides by 4 to isolate y:
[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]
y > -¼x + 1 ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼. Hence, Option 2 is not a valid answer, as the graph has a positive slope.
Option 3: 4x - 2y < - 8
4x - 2y < - 8
4(0) - 2(0) < - 8
0 - 0 < - 8
0 < -8 (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.
We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:
4x - 2y < - 8
4x - 4x - 2y < -4x - 8
-2y < -4x - 8
Divide both sides by -2 to isolate y:
[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]
y < 2x + 4 ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.
Therefore, the correct answer is Option 3: 4x - 2y < -8.
Is the expression 32.3-3 equivalent to 33.3-22 Explain.
this assignment is due in 2 hours pls help!
Answers
3+14 multiplied by a number X
Answers
Answer:
x(3+14)
Step-by-step explanation:
That is how you would write that expression.
X(3+14)
Explanation: that’s just it that’s how you do it
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Answers
Answer:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
pls mark brainliest if this helped :)
Help. What is 90% decreased by 10% :/
Is it 81?
Answers
New value =
90 - Percentage decrease =
90 - (10% × 90) =
90 - 10% × 90 =
(1 - 10%) × 90 =
(100% - 10%) × 90 =
90% × 90 =
90 ÷ 100 × 90 =
90 × 90 ÷ 100 =
8,100 ÷ 100 =
81
Hope this helps :)
PLEASEEEEE HELP…
In Exploration 3.1.2 you went through a procedure that helped you see how a formula
with n compounds per year relates to the formula for compounding continuously. Select
the appropriate answers to model what you did in the exploration.
Annual growth Rate
A (t) = P(1 + r)
n compounds per year
nt
A () = (1+ a)
a =
[Select]
n
let z = -
7
A (t) = P(1 + [b])"
b = (Select)
let n = ar
Ict
C =
[Select)
A (0) P(1)
110) - P{(x - 2)
+
2
Answers
The growth amount is given by the growth rate the duration of the growth
and how the rate is applied to each period.
The correct selections are;
a = n[tex]\displaystyle b = \frac{1}{x}[/tex]c = x·r[tex]\displaystyle \lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1[/tex]Reasons:
First part;
The given formula for the annual growth rate is; [tex]A(t) = \mathbf{P \cdot \left(1 + r)^t}[/tex]
[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{[a]} \right)^{n \cdot t}}[/tex]
Where;
P = The principal
r = The rate per period
n = The number of compounding per period
t = The number of periods
In the above formula, we have that the number of compounding per periods = n
Therefore;
a = nWhich gives the fraction of the interest applied to each period as [tex]\displaystyle \frac{r}{n}[/tex]
Which gives;
[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]
Second part;
When [tex]x = \displaystyle \frac{n}{r}[/tex], we have; [tex]A(t) = \mathbf{P \cdot \left(1 + [b])^{n \cdot t}}[/tex]
[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}[/tex]
Therefore;
[tex]\displaystyle b=\frac{r}{n}[/tex]
[tex]\displaystyle \frac{1}{x} = \frac{1}{\left(\frac{n}{r} \right)} =\frac{r}{n}[/tex]
Which gives;
[tex]\displaystyle b=\frac{r}{n} = \mathbf{\frac{1}{x}}[/tex]
[tex]\displaystyle \underline{ b = \frac{1}{x} }[/tex]
Third part;
Where, n = x·r, and [tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t}}[/tex]
We have;
[tex]\displaystyle x= \frac{n}{r}[/tex]
[tex]\displaystyle \frac{1}{x}=\frac{r}{n}[/tex]
[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t} = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{[c] \cdot t}}[/tex]
Which gives;
c = n = x·r
c = x·rFourth part;
If x is a really large number, we have; [tex]\displaystyle \mathbf{\left(1 + \frac{1}{x} \right)^x}[/tex]
Where x approaches ∞, we have;
[tex]\displaystyle \frac{1}{\infty}=0[/tex]
Which gives;
[tex]\displaystyle \displaystyle \left(1 + \frac{1}{x} \right)^x= \left(1 + \frac{1}{\infty} \right)^\infty = \displaystyle \left(1 + 0\right)^\infty = 1 ^\infty = 1[/tex]
[tex]\displaystyle \underline{\lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1}[/tex]Learn more about growth rate formula here:
https://brainly.com/question/2284816
what is the best way to remember the distributive property?
Answers
Answer:
Think of it as.....
a(b+c) also know as... ab+ac=______
Step-by-step explanation:
hope this helps!
your going to rock the distributive property
Answer:
Maybe to practice at least 10 problems a day, the more you have right the more you are gonna see yourself become more successful in that area.
Also watch videos, anyone that you can find I recommend.
or go to Khan Academy.
Step-by-step explanation:
I did it as well and now I pass everything that is compared to that subject.
Help is appreciated ty!!
Answers
Answer:
B and C
Step-by-step explanation:
Jane found multiples of 8 instead of factors and should've gotten 1, 2, 4, and 8 as her answer.
Hope this helps :)
Answer:
B& C
Step-by-step explanation:
hope it helps
The ________ sum of squares measures the variability of the group means around the overall mean. Group of answer choices between within interaction total
Answers
Answer: 95
What is median number.
Answers
PLEASE HELP
1/3(9×+16+2)+2x
×-3+7(×+3)-3×-12
USE TWO DIFFERENT METHODS TO EXPAND 1/4(×+2×+16-8)
Answers
Answer:
Multiply 1/3 with the numbers in the parenthesis and evaluate
Step-by-step explanation:
what is 47- 24 (x+3)x
Answers
Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use the benchmark numbers -6 and 1, and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Answers to choose Please help me.
Answers
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Estimate -6.1(0.22)
Answer:
Use rounding to get -6(0.2), and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Step-by-step explanation:
Actual answer:
-6.1(0.22) = -1.342
Estimate answer:
-6 (.2) = 1.2
Answer:
A B D
Step-by-step explanation:
A school board is interested in whether high school students would like to shift the school day forward by 30 minutes. They decide to conduct a survey and randomly select students who are involved in extracurricular activities. Which statement is true? A. The survey results are most at risk for students not being able to answer honestly. B. The survey results are most at risk for nonresponse bias. C. The survey results are not at risk for any bias. D. The survey results are most at risk for undercoverage.
Answers
Explanation.
If they are only surveying students involved in extracurricular activities, they are leaving out many other students with opinions, therefore, it’s under coverage bias.
The true statement is
The survey results are most at risk for under coverage.
What is Survey?Survey methodology is an area of applied statistics that focuses on human-research surveys. It examines the sampling of discrete groups from a population and related methods for gathering survey data, such as creating questionnaires and techniques for boosting response rates and accuracy.
We have,
A school board is interested in whether high school students would like to shift the school day forward by 30 minutes.
As, It would be biassed to just survey kids who participate in extracurricular activities because they would be excluding the opinions of many other students.
Thus, the survey results are most at risk for under coverage.
Learn more about Survey here:
https://brainly.com/question/17373064
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A bag contains 10 white golds balls and 6 stripped golf balls. A golfer wants to add 112 golfs balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?
Answers
Step-by-step explanation:
10+6 = 16
since 112/16 = 7
add 7*10 white and 7*6 striped
Answer:
Alright, solve 10 + 6 = 16
Place a proportion of 10 / 16 and 6 / 16
Multiply 10 and 112, and 6 and 112, and divide both by 16
This will get you 70 / 42
70 / 42 = 10 / 6
70 * 6 = 420, 42 * 10 = 420
420 = 420
70 white golf balls, and 42 striped.
Step-by-step explanation:
Im sorry for lagging man :( i hope that helps
mean: 7.3
median: 7.1
standard deviation: 1.1
Q1: 6.8
Q3: 7.4
when a tenth time is added to the list, the standard deviation increases to 1.5. is the tenth time likely an outlier
Answers
Answer:
Yes it is an outlier
Step-by-step explanation:
Main St. Fair thinks your wheel is broken – the 3 outcomes (Big, Small, and No prize) are not coming out exactly equal. Your wheel maker says that’s normal – the numbers should be close to each other but probably not exactly equal. Who do you think is right? Explain.
Answers
Answer:
Step-by-step explanation: