The equation of line from the graph is y = 3x + 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The equation y = 3x + 4 represents a line in the coordinate plane.
To graph this line, we can plot a few points
when x=0, y=3(0)+4=4,
So we have the point (0,4)
when x=1, y=3(1)+4=7,
So we have the point (1,7)
when x=-2, y=3(-2)+4=-2,
So we have the point (-2,-2)
Plotting these points and connecting them with a straight line, we get the graph of the line
Hence , the equation of line is y = 3x + 4
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Select the correct answer. Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0? A. y=4/5x + 4/5 B. y=5/4x
C. y=4/5 D. x=5/4
Answer: D
Step-by-step explanation: i did this
Answer:
C. y = 4/5Step-by-step explanation:
The line parallel to the x-axis has same coordinate for any value of x. The slope is zero.
This line has the form:
y = b, where b is the y-intercept.The only option with similar form is C
also this question pls hurry with this i ready question you will be awarded 100
Answer:
1 hour equals 18 bucks
144 divided by 18 equals 8 so she works for 8 hours to get 144 bucks
Step-by-step explanation:
144 divided by 18 equals 8
Rakim's goal is to have at least $500 in his checking
account at the end of the year. The table shows his
activity for the month of January. Will Rakim make his
goal if the month of January's activity is representative
of how much he will save and spend each month?
Explain.
Answer:
Each month he will save $ 50
Each month he will spend $1,250
Raking will have $600 in his checking account at the end of the year.
Step-by-step explanation:
1300 - 500 - 750 = $50
$50 x 12 month = $600
The required amount Rakim saves and sped each month is $50 and $1250.
Given that,
Rakim's goal is to have at least $500 in his checking account at the end of the year. The table shows his activity for the month of January. Will Rakim make his goal.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
Total money he has = 1300
Total money spend = 750 + 500 = 1250
Money he save = 1300 - 1250 = 50
For the condition of at end of the year he must have at least $500
So,
Yearly saving = 50 × 12 = $600, which greater than $500.
The required amount Rakim saves and sped each month is $50 and $1250.
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-2x - (1 - 8x) + x - 10
Answer:
7x-11
Step-by-step explanation:
Answer:
7x-11=
X= 11/7
Step-by-step explanation:
What is the image of (4,-8) after a dilation by a scale factor of 1/4 centered at the origin?
Answer:
(1, -2)
Step-by-step explanation:
multiply each coordinate by 1/4. since the numerator is 1, you really just need to divide each number by 4.
HELP MEEEEE PLZZZZZ!!!
Answer:
75.02 ft and 64.62 ft.
answer please. bots will obvious be deleted
Answer:
A right triangle needs to have all the sides of the same length. Since this obviously does not, it is not a right triangle. Infact, this is a scalene triangle because all of its sides are unequal.
Find the values of x, y, and z in the triangle to the right.
Answer:i think 24
Step-by-step explanation:
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.
The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
Let x represent the number of cyclists.
Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
Revenue = 60x + 15000
Also, the cost of the race is $18 per entry, hence:
Cost = 18x
They need to raise at least $57,000, hence:
Profit ≥ 57000
Revenue - Cost ≥ 57000
(60x + 15000) - 18x ≥ 57000
42x ≥ 42000
x ≥ 1000
Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
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Solve for x: 0.4x+3.8=1.6x+1.2-0.6x
please help me!
Stephanie sold half of her comic books
and then bought twenty more. She now
has 43. With how many did she begin?
The Parker company employs 68 part time workers. If this represents 4% of the total work force, how many individuals work for the company?
Answer: ite will be 3 bc i done that all ready
Step-by-step explanation:
The number of individuals that work for the company is 272 workers.
Given,
The Parker company employs 68 part-time workers.
This represents 4% of the total workforce.
We need to find out how many individuals work for the company.
What is percentage?Percentage is a fraction or a ratio in which the value of whole is always 100.
Find the total workforce.
Total workforce = 100%
We have,
4% = 68 workers
Multiply 25 on both sides.
25 x 4% = 4 x 68 workers
100% = 272 workers.
This means the number of individuals that work for the company is 272 workers.
Thus the number of individuals that work for the company is 272 workers.
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What is the result of 96-8? Use the model to find the answer.
00
12
32
1.
Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of
the measurement pairs that could be the dimensions of Rectangle B.
A.
6 cm by 1.5 cm
B.
10 cm by 2 cm
C.
13 cm by 4 cm
D.
18 cm by 4.5 cm
E.
80 cm by 20 cm
Answer:
A,D and E
Step-by-step explanation:
How to find t=3,500•(1.10)^100, round to the nearest whole number
Answer:
To find 3,500 by near to 3,550
Step-by-step explanation:
the nearest number of 3,500 is 3,500
The value of 1x10 when x = -2, can be
written in simplest form as a36, where
a=
and b=
DONE
Answer 8
Step-by-step explanation:
Use the given figure (triangular)to find the length of x. x+14 28
Step-by-step explanation:
Answer. Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.
Which number has the greatest absolute value?
A. −7.5
B. −12
C. 5
D. 3/4
Answer:
B
Step-by-step explanation:
how do i calculate slope?
Answer:
In order to calculate the slope, you'll need 2 ordered pairs (x, y).
The formula for calculating the slope is:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
where m = slope
(x1, y1) = first ordered pair
(x2, y2) = second ordered pair
Regardless of which values for the (x1, y1) and (x2, y2) you choose, you would still end up with the same slope (as long as it's done correctly).
As an example, let's say you have the following set of points:
(2, 4) (8, 1)
Let (x1, y1) = (2, 4)
(x2, y2) = (8, 1)
Plug these values into the slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
[tex]m = \frac{1 - 4}{8 - 2} = \frac{-3}{6} = -\frac{1}{2}[/tex]
Therefore, the slope of the line is - 1/2.
To prove that you'll end up with the same value for the slope:
This time, let (x1, y1) = (8, 1)
(x2, y2) = (2, 4)
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
[tex]m = \frac{4 - 1}{2 - 8} = \frac{3}{-6} = - \frac{1}{2}[/tex]
Therefore, the value of the slope is still -1/2.
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Find the area of the triangle.
6
8
Answer:
24
Step-by-step explanation:
the area formula for a triangle is
base x high
----------------
2
so 6x8=48 and divided by 2 is 24
Answer:
24
Step-by-step explanation:
8×6 then Divide by 2........
fill in the blank (no word bank)
Answer:
Angle, Lengths
Step-by-step explanation:
Angle measurements and segment lengths are preserved as the transformations neither change the scale factor nor change the angle measurements
You are rolling artwork to ship so it fits perfectly in a cylindrical shipping tube. The volume of the shipping tube is
169.56 cubic inches. If the radius of the shipping tube is 1.5 inches, what is the maximum height of the artwork you
can ship and what formula can you use to calculate this height?
O 6 inches; height =
volume
3.14 x (radius)?
O 18 inches; height:
volume
3.14 x radius
O 24 inches, height
volume
3.14 x (radius)2
36 inches; height
volume
3.14 x radius
O 54 inches; height
volume
3.14
The volume of a cylinder is found by using the formula V = pi x r^2 x h where r is the radius and h is the height.
Using the given volume and radius calculate the height:
169.56 = pi x 1.5^2 x h
169.56 = pi x 2.25 x h
169.56 = 7.065 x h
H = 169.56/7.065
H = 24 inches
The answer is the height is 24 inches
Answer:
b
Step-by-step explanation:
Mr. Cruz bought 9 3/5 kg of meat. He used 2 3/5 kg for adobo, 4 3/5 kg for menudo and the rest for afritada. How many kilograms of meat did he use for afritada?
Answer:
Loading,please wait...
Step-by-step explanation:
si a+b = 10; ab= 3 calcula a2 + b2
94
HELPPPPPPPPPPP. please explain how u got the answer
Step-by-step explanation:
the key is x = 0.
also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.
let's test it.
a linear function is a line :
y = ax + b
remember, x = 0 is a key element.
y = a×0 + b
-3 = a×0 + b
-3 = b
so, we know, the line function is
y = ax - 3
now, for the a. let's use the next xy pair (1, 1).
1 = a×1 - 3
4 = a
aha ! our line function is therefore
y = 4x - 3
verify with the next 2 points (2, 5) and (3, 9)
5 = 4×2 - 3 = 5 correct
9 = 4×3 - 3 = 9 correct
linear type and equation confirmed.
the second table :
yes, we see relatively big y values compared to the x values.
and the y values follow the powers of 2
so it seems to to be exponential.
64 = 2⁶
32 = 2⁵
16 = 2⁴
8 = 2³
so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.
the old trick : c-x.
again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.
64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶
=> c = 6
so, we suspect the exponential function
y = 2^(6-x)
let's verify with the other points
(1, 32)
32 = 2^(6-1) = 2^(5) = 32 correct
(2, 16)
16 = 2^(6-2) = 2^(4) = 16 correct
(3, 8)
8 = 2^(6-3) = 2^(3) = 8 correct
so, yes, it is the exponential function
y = 2^(6-x)
Please help
Dekalbs current population is 3,500 and it is increasing by 40 people pr year. Sycamores current population is 12,040 and it is decreasing by 100 people every year
Q: Write expressions for each population if x represents the number of years
And What is the current population of dekalb?
Answer:
Dekalb: 3500+40x = F
Sycamores : 12,040 - 100x = F
Step-by-step explanation:
These expressions can be used to explain each population
X = number of years for both expression
F = Final population
Dekalb: 3500+40x = F
Sycamores : 12,040 - 100x = F
The current population if 3500 if no years have gone by, plug in the year of numbers for X to find final population after the amount of years.
--
Find the are length of the partial circle.
either enter an exact answer in terms of ar or use 3.14 for a and enter your answer as a decimal
units
Answer:
where is the equation please put it
4. Tom rides his bike a total of 6 14 miles to work over the course of 5 days.
How far does he ride each day?
How far will Tom ride his bike to and from work in 3 weeks?
6 14 miles in 5 days.
In 1 day Tom rides 6 14/5 = 1 228 miles
1 week has 7 days
5 weeks have 35 days
1 day Tom rides 1 228 miles
35 days Tom rides for 1 228 * 35 = 42 98miles.
45six +13six
Carry out the addition shown using base six notation
Step-by-step explanation:
45 6
13 6
_____ +
02 6
1
________
6 /..8
..... -6
_______
..... 2
0
_______
6/5
...5
_____
0
Thomas, a waiter at a local restaurant, is paid $ 4 an hour plus tips. His friend Marie works at a local bookstore for $12 an hour. Marie and Thomas worked the same number of hours. If Thomas made $120 in tips and both made the same amount of money, how many hours
1.please just give me the first step on how it’s written out
Answer:
15 hours
Step-by-step explanation:
Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay
We can set up an equation for this question:
t = 4h + x
Now plug in 120 for x
t = 4h + 120
Now we set up Marie's pay:
m = 12h
Since Thomas and Marie made the same amount of money over the same number of hours, we can say:
4h + 120 = 12h
120 = 8h
h = 15
This means they both worked for 15 hours.