Graph the linear equation y = –2x + 6 on the coordinate plane.
The graph of the function y = - 2x + 6 is plotted and attached.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following equation of line -
y = - 2x + 6
Given is the following equation of line as -
y = - 2x + 6
The slope of the line would be [- 2] and the [y] intercept would be [6].
Refer to the graph attached.
Therefore, the graph of the function y = - 2x + 6 is plotted and attached.
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The dinner bill comes to $30, and you want to leave a 20% tip. What is the total cost of the bill?
Answer:
$36
Step-by-step explanation:
First, let us make an expression to solve this using the given information.
For that let the total cost be x.
Amount of the bill tip total cost
100 ⇒ 20 ⇒ 120
30 ⇒ 20 ⇒ x
Accordingly,
100 ⇒ 120
30 ⇒ x
Use cross multiplication and solve for x.
100x = 120 × 30
100x = 3600
Divide both sides by 100.
x = $ 36
SOLVE FOR FF
10f+10=9f
F=
Answer:
-10
Step-by-step explanation:
I would explain it but my keyboard won't let me type certain things.
Please give brainlist T-T
Lena buys a 32-oz package of cheese. Does she have enough cheese to make 2 batches of mac-and-cheese and 3 pizzas? Explain.
Answer:
how much oz does it take to make mac and cheese and pizza? will edit when get answer
Step-by-step explanation:
Which of the following items is shaped MOST LIKE the Moon?
O An egg
O Asphere
O A cone
O A circle
Answer:
An egg
Step-by-step explanation:
Hope this helps you
Edna bought a cube-shaped jewelry box that has 7-inch sides. The volume of a cube with side s is s3. What is the volume of the jewelry box?
The volume of the jewelry box will be;
⇒ 343 inch³
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Edna bought a cube-shaped jewelry box that has 7-inch sides.
And, The volume of a cube with side s is s³.
Now,
Since, Edna bought a cube-shaped jewelry box that has 7-inch sides.
Hence, The volume of the jewelry box = 7³
= 7 × 7 × 7
= 343 inch³
Thus, The volume of the jewelry box will be;
⇒ 343 inch³
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0 Assignment is past due
5.PS-20
Question Help
Doug dives from a platform that is 7.5 meters above water. His dive takes him 1.5 meters below the surface of the water. How
far does Doug's dive take him?
Doug's dive takes him meters.
Answer:
9 meters
Step-by-step explanation:
|7.5|+|-1.5|=9
(the || on either side of each number shows that it's representing how far the number is from 0, so it's essentially 7.5+1.5)
Please Help!! It's really simple and I've done half already but I REALLY need help on the other half!!!! My assignment is on the first page and the first half that I've done is on the second page.
The equation of asked line is y = x/3+3
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
The equation of a line passing through two points (x1, y1) and (x2, y2) is
y-y1 = (y2-y1)/(x2-x1)*(x-x1)
The two points are (6, 5) and (3, 1)
Equation =
y-5 = -4/-3*(x-6)
y-5 = 4/3*(x-6)
3y - 15 = x-6
3y = x+9
y = x/3+3
Hence, the required equation is y = x/3+3
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An elevator travels310ft in 10 seconds. How far will it travel in 12 seconds
Answer: 372ft
Step-by-step explanation:
310 divided by 10 equals 31.
31 times 12 = 372
And so it is 372 ft
Suppose that 16 inches of wire costs 80 cents. At the same rate, how many inches of wire can be bought for 45 cents?
Given f(x) = 2x and g(x) = f(x − 4) + 5, write the new function rule (equation) for function and
describe
The new function rule is g(x) = 2x -3
What is a function?A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).
if f(x) = 2x, then f(x-4) = 2(x-4)
g(x) = f(x-4) + 5
substitute f(x-4) into g(x)
g(x) = 2(x-4) + 5
g(x) = 2x -8 + 5
g(x) = 2x - 3
In conclusion, the function rule g(x) is 2x - 3
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What is the midpoint of AB?
Answer:h
Step-by-step explanation:
8+-6=2
Find x when () = 2. Please explain step by step
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
Three verticies of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex. (please helpp!!)
Answer:
AE=19
EAD=34
Step-by-step explanation:
Look at the image for step by step help.
-Hope this helped
Scott whose eye level is 1.5m above the ground, stands 30m from a tree. The angle of elevation of a bird at the top of the tree is 36 degrees. How far above the ground is the bird?
A. 21.8 m
B. 23.3 m
C. 41.3 m
Using trigonometric ratio, the distance of the bird is 21.8m
Angle of ElevationThe angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
To solve this problem, we have to use trigonometric ratio of SOHCAHTOA
Let's define the variables given;
Using Tangent of an angle;
tanθ = opposite / adjacent
tan 36 = x / 30
Cross multiply both sides and solve for x
30 tan36 = x
21.8 = x
The distance above the ground from the bird is 21.8 meter.
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Sergio buys 684 red stickers and
729 blue stickers for his 24 classmates
Each classmate receives the same
number of stickers. Sergio gives the
leftover stickers to his younger brother.
How many stickers does Sergio give to
his younger brother?
Hence, Sergio give to his younger brother is [tex]58[/tex].
What is the division?
Division is the opposite of multiplication. If three groups of four make twelve in multiplication, twelve divided into [tex]13[/tex] equal groups give four in each group in division.
Here given that,
Sergio buys [tex]684[/tex] red stickers and [tex]729[/tex] blue stickers for his [tex]24[/tex] classmates.
Each classmate receives the same number of stickers.
Total number of stickers are
[tex]684+729=1413[/tex]
So, the Sergio give to his younger brother is
[tex]\frac{14131}{24}=58[/tex]
Hence, Sergio give to his younger brother is [tex]58[/tex].
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I need help with this please help me
Answer: A
Step-by-step explanation:
The three angles in a triangle add to [tex]180^{\circ}[/tex]. Therefore, each angle measures [tex]\frac{180^{\circ}}{3}=60^{\circ}[/tex].
In Silvergrove, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 9 kilometers and the distance between the courthouse and the city pool is 10 kilometers, how far is the library from the community pool? If necessary, round to the nearest tenth.
The distance of the library from the community pool is given as 4.4 km
How to solve for the distanceWe have to solve this problem with the use of the Pythagoras theorem.
The formula is given as
a² = b² + c²
The total distance flown would be represented by a = 10 kilometer
the distance for the courthouse would be given as 9 kilometers
When we put these values in the formula we would have
10² = a² + 9²
100 = a² + 81
a² = 100 - 81
a² = 19
a = √19
a = 4.4 km
Hence the calculated distance is given a 4.4 km from the library to pool.
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Length (cm): Length (m)
100: 1
250: 2.5
78.2: .782
123.9: 1.239
y: ? I need to know what goes next to the y
Write an equation for the proportional relationship. Let x represent a length measured in meters and y represent the same length measured in centimeters. I don't know what would be the equation.
The equation for the proportional relationship is x=y×(1/100) where x represents length in meters and y represents same length in centimeters.
What is meant by proportionality?The phrase proportionality refers to any relationship that always has the same ratio. The quantity of apples in a crop, for example, is proportionate to the number of trees in the orchard, with the ratio of proportionality being the average number of apples per tree.
In mathematics, two sequences of numbers, generally experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.
Given,
Length(cm): Length(m)
100 : 1
250 : 2.5
78.2 : 782
123.9 : 1.239
The value that goes next to y is,
y: y×(1/100)
Therefore, x=y×(1/100)
The equation for the proportional relationship is x=y×(1/100)
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Mike had 6 1/4 pounds of potatoes to share with his friends. He gave them 3 4/5 pounds. How many pounds of potatoes does Mike have left?
Answer: 2 9/20
Step-by-step explanation:
First, rewriting our equation with parts separated
=6+14−3−45
Solving the whole number parts
6−3=3
Solving the fraction parts
14−45=?
Find the LCD of 1/4 and 4/5 and rewrite to solve with the equivalent fractions.
LCD = 20
520−1620=−1120
Combining the whole and fraction parts
3−1120=2920
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
254−195
Applying the fractions formula for subtraction,
=(25×5)−(19×4)4×5
=125−7620
=4920
Simplifying 49/20, the answer is
=2 9/20
Consider the curve given by the equation y² - 6y - 9x² - 144x = 576. It can be shown that dy/dx=
9(x + 8)/ Y-3
Find the x-coordinate of the point where the line tangent to the curve is the x-axis.
The x-coordinate of the point where the line tangent to the curve is the x-axis is; x = -8
How to Interpret the tangent line to a curve?To get he x-coordinate of the point that the line tangent to the curve is the x-axis, what we will do is to equate the numerator of the derivative to zero.
Now, we are given the equation of the curve as;
y² - 6y - 9x² - 144x = 576.
We are told that It can be shown that;
dy/dx = 9(x + 8)/(y - 3)
From our earlier definition, the x-coordinate will be at;
9(x + 8) = 0
divide both sides by 9 to get;
x + 8 = 0
x = -8
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Kelly earns $96 in 12 hours. At this rate, how many dollars will she earn in 20
hours?
OA. $160
OB. $240
O C. $200
O D. $80
96/12 = x/20
Solve it and get the answer.
What does the slope tell you?
◄ 0.25 ounce of salad costs $1.
25 ounces of salad costs $1.
A salad costs $0.25 per ounce.
A salad costs $25 per ounce.
Answer: what is the answer?
Step-by-step explanation:
a salad costs $0.25 per ounce!:)
If 9 cows can fit in a field, how many fields are necessary to make sure 65 cows are all in a field?
Answer:
7.2 field or 7 field
Step-by-step explanation:
9 cows=1 field
65 cows=x field
cross multiply
9x=65×1
x=65÷9
x=7.2/7 field
The U.S. Postal Service delivers about 212 billion pieces of mail each year. Of this mail, 4/5 is sent by big commercial users. About how many pieces of mail are sent by big commercial users each year? Hint: billion is part of the label “billion pieces of mail”.
The mail that are sent by big commercial users is 169.60 billion.
How many mails are sent by big commercials users?A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 4/5.
In order to determine the pieces of mail that are sent by big commercial users, multiply the fraction by the total number of mails delivered each year.
The mail that are sent by big commercial users = 4/5 x 212 billion = 169.60 billion
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What does the term rhetorical situation refer to?
• A. Ideals
that a speaker uses to guide a speech no matter who the
audience is
• B. A specific occurrence in ancient Greece when politicians bullied
the people
• C. The relationship between the speaker, the speaker's style of
address, and the audience's expectations
• D. Parents, teachers, and other adults who are on social networking
sites
Answer:
Step-by-step explanation:
This term refers to any set of circumstances that involves at least one person using some sort of communication to modify the perspective of at least one other person.
Answer: c
Step-by-step explanation:
j took the quiz on apex
Write an equation for (-5,3) and (0,-7)
The equation of line is y + 2x +7 =0 for the points (-5,3) and (0,-7).
What is equation of line?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
The given points are (-5, 3) and (0, -7).
To find the equation of line, use formula,
y - y₁ = m(x - x₁) where m = (y₂-y₁)/(x₂-x₁),
y - 3 = (-7 - 3)/(0-(-5)) (x - (-5))
y - 3 = -10 / 5 (x + 5)
y - 3 = -2 (x + 5)
y + 2x +7 =0
The required equation of line is y + 2x +7 =0 .
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Please help with this question
[tex]10 \sqrt{2} [/tex]
Answer:
The answer is approximately equal to 14.14214
SOLVE FOR N
3/2 -1/2n= 2n+3
N =
Answer: n= -3/5 OR n= -0.6
Step-by-step explanation:
exact form and decimal form
Chindi puts 2 3/5 kg of bird seed in his large feede. This is 1 3/10 times as much bird seed as he puts in his smaller feeder. How much bird seed does Chidi put in his smaller feeder?
A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
The total amount in the smaller feeder is 2 kg.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Chindi puts 2(3/5) kg of bird seed in his large feed.
This is 1(3/10) times as much bird seed as he puts in his smaller feeder.
The total amount is represented by 1.
Now,
1(3/10) = 2(3/5) kg
13/10 = 13/5 kg
Multiply both sides by 10/13
1 = 10/13 x 13/5 kg
1 = 2 kg
This means the total amount of seeds in the smaller feeder is 2 kg.
Thus,
The total amount in the smaller feeder is 2 kg.
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