Answers
Answer:
A general linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept (the point at which the line intersects the y-axis).
In this case, we know that the line should intersect the y-axis (the vertical one) at y = 3 (in the point (0, 3))
And the slope is -3, then the equation of the line is:
y = -3*x + 3
To graph this line the general way is to find two points of the line.
So we need to evaluate the function in two different values of x.
In this case, we already know that the line passes through the point (0,3), then we only need to find another point.
To do it, we can just replace the x-value for a value we want, like x = 1
Then the y-value will be:
y = -3*(1) + 3 = -3 + 3 = 0
Then we also have the point (1, 0).
Now that we have two points, we can graph them and draw a line that connects the point, that line is the graph of our linear equation.
An example of this can be seen below.
Related Questions
Graph the line with slope -1/2 passing through the point (-1,-2)
Answers
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]m = -\frac{1}{2}[/tex]
[tex](x_1,y_1) = (-1,2)[/tex]
Required
Graph the line
First, is to determine the equation of the line using:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
So:
[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]
[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]
[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]
Cross multiply:
[tex](y -2) * 2 = -1 * (x + 1)[/tex]
[tex](y -2) * 2 = -x -1[/tex]
Solve for y - 2
[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]
Solve for y
[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]
[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]
[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]
The above equation will then be plotted on the graph (See attachment)
Help me please this is due tonight!
Here is a photo of the problem. I’m a little blank on my math tonight, any help is appreciated!
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
__
Using these rules, along with the distributive property, we can simplify the given expression.
[tex]\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2\\\\=\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5^2a^{4\cdot2}b^{4\cdot2})\\\\=(9)(3)a^{3+3}b^{6+2}+(9)(7)a^{3+2}b^{6+2}-25a^8b^8=27a^6b^8+63a^5b^8-25a^8b^8\\\\=\boxed{-25a^8b^8+27a^6b^8+63a^5b^8}\qquad\text{matches A}[/tex]
I really need help with this
Answers
Answer:
Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!
Step-by-step explanation:
To reach her summer reading goal, Elisa has to read at least 30 books. The inequality b ≥ 30 represents the number of books she needs to read. Which of the following is the solution to this inequality?
Answers
Answer:
hii
have a good day for you!
For the ordered pair, give three other ordered pairs with θ between −360° and 360° that name the same point. (2, -45°)
Answers
(-3,-120°)
(-3,240°)
i think this is correct
Find the missing lengths!!!!!!!
Answers
Answer:
13
Step-by-step explanation:
It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] = 13
Someone please please help me with this!!!
Answers
Answer:
[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]
help fast plz !!!!!!!!!
Answers
Answer:
It should be 35
Step-by-step explanation:
An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms
Answers
Answer:
The % of women above 50 having mammograms as devised from the survey is 70%.
Step-by-step explanation:
Given
60% of women older than age 50 have annual mammograms
Out of 1000 surveyed women of age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms
The % of women above 50 having mammograms as devised from the survey is 70%.
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units
Answers
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the sides of the triangle are
The measure of side AB = 61 units
The measure of side BC = 11 units
The measure of side AC = 60 units
And , the triangle is rotated by 90° counterclockwise about the origin
The coordinates of the triangle after rotation is A'B'C'
And ,
The measure of side A'B' = 61 units
The measure of side B'C' = 11 units
The measure of side A'C' = 60 units
The length of the sides of the triangle does not change during a transformation of rotation by any degree
Hence , the measure of side A'C' of triangle is 60 units
To learn more about rotation click :
https://brainly.com/question/3956347
#SPJ3
2345621874+9863412689
Answers
Answer:
12209034563 will be your answer.
Step-by-step explanation:
just add it.
Answer:
WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.
12209034563
more info can be giving on usecalculator.com
Step-by-step explanation:
algebraically find the inverse of a function
Answers
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
__
1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
__
3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
__
5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
a raffle ticket costs $1.50 how many tickets would i need to sell to make my target of $150?
Answers
hi
150/1.5 = 100
so 100 tickets
A consumer affairs investigator records the repair cost for 4 randomly selected washers. A sample mean of $52.63 and standard deviation of $22.01 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the washers. Assume the population is approximately normal. Step 2 of 2 : Construct the 80% confidence interval. Round your answer to two decimal places.
Answers
Answer:
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 4 - 1 = 3
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.638
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.638\frac{22.01}{\sqrt{4}} = 18.03[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 52.63 - 18.03 = $34.60
The upper end of the interval is the sample mean added to M. So it is 52.63 + 18.03 = $70.66.
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
Let h represent the x-coordinate of the vertex of the graph of y = f(x). Let
represent the x-coordinate of the vertex of the graph of y = g(x). What is the
value of h-j?
Answers
The value of h -j is -5.
We have the function, f(x) = x² -4x + 8
Now, vertex
h = x = -b/2a
h = x = -(-4) / (-2)
h = x = -4/2
h= x = -2
Now, according to the graph
j = x= 3
So, h - j
= -2 - 3
= -5
Learn more about Function here:
https://brainly.com/question/30721594
#SPJ1
Find the range of the data
97,106,99,97,115,95,108,100
Answers
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation: 115-95=20
Mrs. Hagan measured the height, in inches, of all the girls in her PE class. She recorded her results in
the following list.
63, 60,67, 62,58, 63, 68,
59, 62, 65,56, 63 59, 62,
58
13. Determine the 5-number summary and make a box-and-whisker plot for the data set.
14. Between what heights are the middle 50% of the girls in Mrs. Hagan's PE class?
Answers
Answer:
Step-by-step explanation:
5 number summery
Minimum: 56
Maximum: 68
Median: 62
First quartile: 59
Third quartile: 63
what 2 integers are closest to the number 75
Answers
Answer:
74 and 76
Step-by-step explanation:
I'm pretty sure
Answer:
8 and 9
Step-by-step explanation:
8 x 8 = 64
9 x 9 = 81
75 is the number between 64 and 81
what is the distance between -8 and 535 on a number line
Answers
Answer:
527
Step-by-step explanation:
because i did it in the calculator
Halla el MCM de 42 y 70.
Answers
Answer:
mcm= 210
Step-by-step explanation:
We decompose into its prime factors
42- 70 | 2
21 - 35 | 3
7 - 35 | 5
7 - 7 | 7
1 - 1
mcm= 210
Greetings!
13. The product of 0.21 and 1.8 is 0.378
A) True
B) False
Answers
Answer:
true
Step-by-step explanation:
because 0.21 ×1.8 is 0.378
how do you find the area of the attached shape?
Answers
Answer:
You would find the area if each individual shape inside the shape and then add all the areas together to get your final product
Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility
Answers
“Subjectivity” is the answer i believe .
Answer: D
Step-by-step explanation:
Fits the definition
What is the Mean Absolute Deviation of the following data set?
{23, 25, 28, 29, 30}
Answers
Answer:
The mean absolute deviation is 2.4
Step-by-step explanation:
the spinner is divided into 12 equal sectors. What is the possibility of not spinning a 2?
Answers
Answer:
11/12
Step-by-step explanation:
I am assuming the spinner is divided into 12 equal sectors and numbers 1-12 are written on them. Comment if I am wrong.
Spinning the 12 sided spinner, there is a 1/12 chance of spinning a specific number. So we take the opposite of that, which is 11/12. The chances of not rolling a two mean it comes out true if you roll numbers 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
Part A: Write an algebraic expression for 8 more than 5 times a number. (5 points)
Part B: Write a verbal expression for 4(n + 6). (5 points)
Answers
Part B: The sum of 6 and a number, increased 4 times.
The algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
What is expression ?Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.
Part A ;We have,
[tex]8[/tex] more than [tex]5[/tex] times a number
Now,
Let a number [tex]=x[/tex]
So,
According to the question,
We get, [tex](8+5x)[/tex]
So, this is the algebraic expression .
Part B ;We have,
[tex]4(n + 6)[/tex]
So,
According to the question,
[tex]4(n + 6)[/tex] will be written as four times the sum of a number and six.
So, this is the verbal expression .
Hence, we can say that the algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
To know more about expression click here
https://brainly.com/question/14083225
#SPJ3
HELP I NEED ANSWERS NOW
Answers
Answer:
I am not sure but I think it is c
Step-by-step explanation:
Please help me.. I don't undersand this
Answers
Answer:
45 degrees.
Step-by-step explanation:
When two angles are next to each other along a straight line, their sum = 180 degrees.
180 - 135 = 45
Answer:
I know i may be unwanted here but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!
Step-by-step explanation:
I need help with number 3
Answers
Answer:
C
Step-by-step explanation:
60+70=130
M=50
K=130
m+k=180 it all adds up
The slope of the line below is -2. Write the point-slope equation of the line
using the coordinates of the labeled point.
Answers
Answer:
[tex]y+6=-2(x-4)[/tex]
Step-by-step explanation:
Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,
[tex](y-y_1)=m(x-x_1)[/tex]
Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.
It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.
[tex](y-(-6))=-2(x-4)[/tex]
[tex]y+6=-2(x-4)[/tex]