Graph the line y=-3/4x+1
Answers
Step-by-step explanation:
That is what your line should look like :)
The equation of line is y = ( -3/4 )x + 1 , where the slope is m = ( -3/4 )
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
Substituting the values in the equation , we get
y = ( -3/4 )x + 1 be equation (1)
On simplifying the equation , we get
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And , the line is plotted in the graph
Hence , the equation of line is y = ( -3/4 )x + 1
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Related Questions
What is the fractional equivalent of repeating decimal 0.5
Answers
The fractional equivalent of the repeating decimal 0.5 is 5/9.
To convert the repeating decimal into a fraction, we can assign a variable, let's say x, to the repeating decimal. In this case, x = 0.5555...
Next, we multiply both sides of the equation by a power of 10 that will eliminate the repeating part.
10x = 5.5555...
Now,we subtract the original equation from the new equation to eliminate the repeating part:
10x - x = 5.5555... - 0.5555...
9x = 5
Simplifying the equation, we get:
x = 5/9
Therefore, the correct answer is A. 5/9.
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The complete question is
What is the fractional equivalent of the repeating decimal 0.5?A.5/9B.1/2C.5/99D.5/100
Simplify the given expression. 2(-36-3i)+(5+2i)(12-2i)
Answers
Answer:
-8+8i
Step-by-step explanation:
(-72-6i) + (60-10i+24i-4i^2)
(-72-6i) + (60+14i+4)
-72+64+8i
-8+8i
Question 1 of 20:
Select the best answer for the question.
1. Will bought 3 college textbooks. One cost $32, one cost $45, and one cost $39.
What is the average price of his books? Choose the statement that correctly
calculates the average.
A. $32 + $45 + $39 : 3
B. $32 : 3 + $45 : 3 + $39
O C.3 × $32 + $45 + $39
D. ($32 + $45 + $39) = 3
Mark for review (Will be highlighted on the review page)
Next Question >>
Answers
Answer:
I would have to say A) 32 + 45 + 39: 3
Step-by-step explanation:
This is because when finding the average of literally anything, you want to add up all the numbers, and then divide the sum of it by the numbers you added up.
for instance: 32 + 45 + 39 = 116. now, we need to divide by 3 because we added 3 numbers up.
116 divided by 3 = x
x is our average cost per books.
hope this helped, gl on your test!! :')
A Ferris wheel 80 meters in diameter turns continuously, completing a single rotation once every 8 minutes. You must board the Ferris wheel at its lowest point from a platform located 5 meters above the ground. If you board the Ferris wheel at t=0, write and sketch a sinusoidal function to model your height above the ground after t minutes on the Ferris wheel. How high above the ground will you be after 5 minutes? How many minutes into the ride will it be when you first reach 35 meters above the ground?
Answers
Step-by-step explanation:
General form of a sine or cosine wave is:
y = ±A sin((2π/T) t) + B
y = ±A cos((2π/T) t) + B
where A is the amplitude, T is the period, and B is the vertical offset or midline.
The Ferris wheel is 80 meters in diameter or 40 meters in radius.
A = 40
The Ferris wheel turns once every 8 minutes.
T = 8
The lowest point is 5 meters above the ground, so the center of the Ferris wheel is 45 meters above the ground.
B = 45
At t=0, you're at the lowest point, so use -cos.
Therefore, the equation is:
y = -40 cos(2π/8 t) + 45
y = -40 cos(π/4 t) + 45
When t = 5:
y = -40 cos(5π/4) + 45
y = 20√2 + 45
y ≈ 73.3 meters
When y = 35:
35 = -40 cos(π/4 t) + 45
-10 = -40 cos(π/4 t)
1/4 = cos(π/4 t)
π/4 t ≈ 1.318
t ≈ 1.68 minutes
PLEASE HELP ASAP
Simplify the expression.
Log(x^4) - log(x^3)
A. Log(x)
B. Log(x^4-x^3)
C. Log(x^4+x^3)
D. Log(x^7)
Answers
Answer:
Log(x)
Step-by-step explanation:
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E
Answers
Answer:
let me get the answer
Step-by-step explanation:
Find the value of x in the triangle shown below.
Answers
Answer:
x = 62
Step-by-step explanation:
its an isosceles triangle which means the the two angles on the bottom are equal or something like that. triangles aren't fun
lol
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If f(x) is a linear function, f(- 3) = - 3 , and f(5) = 4 , find an equation for f(x)
Answers
[tex]f(x)=mx+b[/tex]
[tex]f(-3)=-3[/tex] meaning that (-3,-3)
[tex]f(5)=4[/tex] meaning that (5,4)
(1 ) Find slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{4+3}{5+3}\\m=\frac{7}{8}[/tex]
The slope is 7/8
(2) Substitute any ordered pairs in the equation.
I'll use (5,4)
[tex]f(x) = \frac{7}{8}x+b\\4=\frac{7}{8}(5)+b\\4=\frac{35}{8}+b\\32=35+8b\\32-35=8b\\-3=8b\\-\frac{3}{8}=b\\b=-\frac{3}{8}[/tex]
Therefore the equation for f(x) is [tex]f(x)=\frac{7}{8}x-\frac{3}{8}[/tex]
30% of the toys collected at the holiday toy drive were stuffed animals. There were a total of 80 toys collected. How many toys were stuffed animals?
Answers
Answer:
24 toys
Step-by-step explanation:
line up your numbers by the type of unit they have :
80 toys represent 100% of the toys
? toys represent 30% that are stuffed animals
Cross-multiply
?*100 = 30*80
divide both sides by 100
?= 30*80/100= 24
What is the equation in slope-intercept form of the line that passes through points (-4,2) and (12,6)
Answers
y=o.25x+3 is your equation.
What is the first step in solving for z in the equation
5z−4=26?
Answers
Answer:
Step-by-step explanation:
This is the completed answer.
5z - 4 = 26
5z−4+4=26+4
5z=30
Divide both sides by 5.
5z/5 = 30/5
z=6
The longer piece of wood has dimensions of 2 inches by 2 inches by 7 inches. The shorter piece of wood has dimensions of 4 inches by 2 inches by 2 inches. How many square inches of purple paint will Lisa use to paint her letter L?
Answers
Answer:
TA of longer piece = 2(lw) + 2(hw) + 2(lh) 2*1*1 +2*6*1 + 2*1*6 = 2 + 12 + 12 = 26 TA of shorter piece = 2(lw) + 2(hw) + 2(lh) = 2*1*1 + 2*3*1 + 2*1*3 = 14 Add the two surface areas together. 26 + 14 = 40 Subtract the area where the two pieces of wood are attached. Because that section will not be painted on either piece of wood, two times that area must be subtracted. 40 - (2*1*1) = how many square inches of purple?
Step-by-step explanation:
Marsha initially deposited $98,232 into her checking account in January. She deposited $14,443 into her account at the beginning of every month starting in February. About how much money will she have at the end of April?
Answers
February till April = 3 months
14,443(3) + 98232 = $141,561
First we have to subtract 14,443 from 98,232 since deposit means take out. Now that would become 83,789 so that would continue from Feb to April that would be about 3 times so we have to keep subtracting 14,443 or just do 14,442 since we have to do this 3 times and then subtract 98,232 from 43326(the answer from 14,442*3) and we get 54906 as our final answer!
PLSS HELP 20 POINTS!! Will mark branliest plssss
A beach lifeguard wants to create the largest triangular area he can with three lengths of rope to provide beach goers with the maximum amount of space to play and swim in the water. Multiple buoys are attached to each rope in order to identify the designated swimming area. The first rope is 42 feet long, the second is 50 feet long, and the third is 107 feet long. The lifeguard can only cut one of the ropes in order to create a triangle with the largest possible perimeter. How much rope, in feet, will be remaining after the lifeguard creates the designated swimming triangle? (Note: Answer should be a whole number.)
Answers
Answer: the answer is 16
Step-by-step- explanation:
Since the two sides of a triangle must be greater than the third we can take the sum of two smallest sides and add them together to equal 92. Meaning the length of the longest side MUST BE 91 feet so the amount of the remaining rope would equal to 107-91 and that’s where we get 16
help please fill out empty spots
Answers
Answer:
See the attached image below for the filled out chart.
First box = 0.1Second box = 0.1Third box = 4Fourth box = -3Fifth box = 3Sixth box = -1===================================================
Explanation:
Part 1
Pick any term and subtract off its previous term
So for instance 4.2 - 4.1 = 0.1
Or you could say 4.3-4.2 = 0.1
Whichever pair you pick, you should find that the common difference is 0.1
This means we add 0.1 to each term to get the next term. Therefore, the recursive rule is [tex]a_n = a_{n-1} + 0.1[/tex] which says "add 0.1 to the (n-1)th term to get the nth term". The (n-1)th term is the term just before the nth term.
The first term is [tex]a_1 = 4[/tex] as shown in the given sequence 4, 4.1, 4.2, ...
------------------------------
Part 2
We'll follow the same idea as part 1.
Subtract any two adjacent terms
-10-(-7) = -10+7 = -3
We add -3 to each term to get the next. This is the same as subtracting 3 from each term, which is reflected in [tex]a_n = a_{n-1}-3[/tex]
The first term is [tex]a_1 = -1[/tex]
Everything is summarized in the diagram below.
Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which of these equations represents the amount of time t (in minutes) that it takes him to ride a distance of d miles?
Answers
Answer:
5minutes and the the distance is 1miles
Answer:
t=5d
Step-by-step explanation:
Given that Andre rode his bike at a constant speed.
Number of miles driven = 1 mile
Time taken to drive 1 mile = 5 minutes.
Then speed can be calculated using formula:
Speed = Distance / Time
Now we have to find the amount of time t (in minutes) taken by him to right distance d so we can again use same formula.
Speed = Distance / Time
or
Time = Distance / Speed
Plug the given values
t = 5d
Hence find answer will be equation t=5d.
Which man made object is likely to endure long after humans have disappeared from New York city?
A. Ceilings
B. Sewer systems
C. Steel l-beams
D. Bronze sculptures
Answers
Bronze sculptures endure long after humans have disappeared from New York city.
What is Man made objects?Human-made materials are those that humans have manufactured. Such examples are rubber, paper, plastic, furniture, and clothing. Artificial satellites are man-made. They take off from the Earth.
As, Bronze is an extremely robust substance that can withstand many circumstances that softer metals cannot.
Utilizing this metal for art pieces is fantastic because it requires no maintenance and upkeep and can survive for hundreds of years, enhancing its worth even further.
Also, Bronze is last long than Steel.
Thus, Bronze sculptures endure long after humans have disappeared from New York city.
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Find an equation in standard form that has the following roots (-5,0) (6,0)
Answers
Answer:
x²-x-30=0
Step-by-step explanation:
so the roots are -5 and 6
we can find the exquation by knowing that
(x-root1)(x-root2)=the equation
(x+5)(x-6) distribute
x²-6x+5x-30 combine like terms
x²-x-30
what is the solution to this equation: 7m to the 2 power + 6m - 1 = ?
Answers
Answer:
7m² + 6m - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining Like TermsStandard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define expression
7m² + 6m - 1
Step 2: Simplify
The expression cannot be simplified further.
Would you rather
buy...
Option A
8 pound jug of ice
cream for
$24.56
Option B
Two 3 pound 11 ounce
jugs of ice cream for
$23.60
or...
Answers
Answer:
option A sounds like a better deal if that's what your asking.
Use interval notation to express the set of real numbers $x$ that satisfies the inequality $-2 \leq x < 5$.
Answers
Answer:
[-2, 5)
Step-by-Step Explanation:
The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that the inequality y = {x ; -2 ≤ x < 5}
WE are asked to find the solution set for the given inequality;
⇒ y={x ; -2 ≤ x < 5} i.e domain= [-2, 5)
⇒y=x ∀ x ∈ [-2, 5)
The solution of the given inequality;
x ∈ [-2, 5)
Therefore, The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).
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why is the world so bad
Answers
Answer:
because humans are being evil to mother nature
Answer:
cOrOnAvIrUs
Step-by-step explanation:
SOMEONE HELPPPPP PLEASEEEEE
Answers
Answer:
15. 0
16. Infinate
17. Infinate
18. -3
19. 11/-6
20. 0
Step-by-step explanation:
Im not explaining for each cause that would take too long, just know you plug in the y and x into the formula y1-y2/x1-x2. So for the first one, you would have -1--1 / 4--2 but when there are two subtractions signs it turns into a plus so -1+1 / 4+2
if you ran 4 miles in 36 minutes how many minutes would you have to run in one mile?Explain
Answers
Answer:
9 minutes
Step-by-step explanation:
round 0.918 to the nearest whole number
Answers
This is because 9 is more than 5 so you make it 0 and add 1 to the next number. After that everything else turns to 0’s.
Hope this helps and have a nice day/night!!!
orden de las operaciones, la multiplicación es primero que la suma o la resta
Answers
Select the correct answer.
which equation represents the line that is parallel to y= 3 and passes through (-2,-8)?
А.
x = -2
B.
x=3
C. y=-8
D.y= 3x - 2
Answers
Answer: -8
Step-by-step explanation:
other people got -8 so I'm pretty sure this is the answer.
If there are 81 students is the band
how many boys are in the band
Answers
Answer:
What is the ratio of boys to girls ?
Step-by-step explanation:
If it's 3:6 then its 27.
Which is equivalent to −2/5
Answers
Answer:
-0.4
Step-by-step explanation:
-2 divided by 5
Answer:
-4/10
Step-by-step explanation:
There are many more this is one of them.
A car drives 800 meters in 200 seconds. What is it’s speed?
Answers
Answer:
8m/s.
Step-by-step explanation:
This question really depends on the answer because the units matter. Is it miles per second? Kilometers per second? We'll just assume it's meters per second so this question could be answered the easiest.
Meters/seconds=800meters/200seconds=(simplified) 8m/s