Answers
Answer:
[tex]y=\displaystyle \frac{1}{2}x+1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
We're given the x-intercept, -2, and the y-intercept, 1. We can directly plug the y-intercept into the equation [tex]y=mx+b[/tex] :
[tex]y=mx+1[/tex]
Now, we must solve for the slope. The x-intercept -2 gives us the point (-2,0), since the x-intercept occurs when y=0. Plug this point into the equation and solve for m:
[tex]0=m(-2)+1\\0=-2m+1\\-1=-2m\\\\\displaystyle m=\frac{-1}{-2} \\\\\displaystyle m=\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle \frac{1}{2}[/tex]. Plug this back into [tex]y=mx+1[/tex]:
[tex]y=\displaystyle \frac{1}{2}x+1[/tex]
I hope this helps!
Related Questions
The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?
Answers
Answer:
$0.05/year
Step-by-step explanation:
Number of years:
2006 - 2004 = 2
From 2004 to 2006 it's 2 years.
Difference in prices:
$1.35 - $1.25 = $0.10
Average change of price per year:
$0.10 / 2 years = $0.05/year
A shopkeeper marks the price of an article 25% above the cost price. Then he allows a discount of 10% of the marked price. Find the profit percentage.
Answers
here is your answer hope you will understand it
Simplify the following expression: 7(5 + 3) + 2ˆ4
Answers
72
Step-by-step explanation:7(5 + 3) + 2ˆ4
P ()
E ^
M *
D /
A +
S -
7(8) + 16
= 72
Hey there!
7(5 + 3) + 2^4
5 + 3 = 8
= 7(8) + 2^4
2^4
= 2 * 2 * 2 * 2
= 4 * 4
= 16
= 7(8) + 16
7(8) = 56
= 56 + 16
= 72
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Planes T and X are parallel. Plane T contains line a. Plane X contains line b. Planes T and X are parallel. Plane T contains line a and plane X contains line b. Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will never intersect. They are perpendicular and will intersect. They will intersect at two points.
Answers
Answer:
The answer is "They are skew and will never intersect".
Step-by-step explanation:
Please find the graph file in the attachment.
In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.
Answer:
A or ,They are skew and will never intersect.
Step-by-step explanation:
edge 2021
the train regularly travels 135 miles in 60 minutes.
What is the speed, in miles per minute, on this portion of the route?
Answers
Answer:
2.25 miles per minute
Step-by-step explanation:
Speed = Distance/Time
135/60
2.25 miles per minute
Answer from Gauthmath
Pythagorean Theorem
The diagram shows square 1, 2, and constructed on the sides of right
triangle
3
1 2
Which statement about the squares must be true?
Answers
Option A
We can prove this by a example
Take a pythagorean triplet 3, 4, 5
Now 5 is the hypotenuse
Area 1 = 3^2
= 9
Area 2 = 4^2
=16
Area 3 = 5^2
=25
So 9 + 16 = 5
25 = 25
Therefore its option A
Answered by Gauthmath must click thanks and mark brainliest
The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
From the general formula of the area of the square,
Area of 1 = (side of 1st)²
Area of 2 = (side of 2nd)²
Area of 3 = (side of 3rd)²
From the Pythagorean theorem in the given triangle,
(side of 2nd)²+(side of 1st)² = (side of 3rd)²
Thus,
(Area of 1) + (Area of 2) = (Area of 3)
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ7
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Paula ran a total of 12 miles over the course of 2 track practices. What is the unit rate?
A. 6 miles
B. 6 miles per practice
C. 4 miles per practice
D. 10 miles per practice
Answers
Answer:
B. 6 miles per practice
Step-by-step explanation:
12 miles over the course of 2 track practices divided by 2
12/2 = 6
6 miles per one track practice
2.59 is greater or less than 2.684
Answers
Answer:
Less than.
Step-by-step explanation:
2.59 is less than 2.684 by 0.094
2.59 < 2.684
~
Answer:
Less than
Step-by-step explanation:
2.59 is smaller than 2.684 because the first number (the tenth) is bigger than the other first number (2.59) so it should be bigger.
3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?
Answers
ll,,Step-by-step explanation:
the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm
Answers
Answer:
180 km
Step-by-step explanation:
1 cm=12 km
15 cm=12×15=180 km
A kiddie pool holds 161 gallons of water. One hose can fill the pool in 3 hours while an-
other takes only 2 hours. How long will it take for the pool to be filled if both hoses are
used?
Answers
The first hose pumps out water at a rate of
(161 gal)/(3 h) = 161/3 gal/h
The second hose fills the pool at a rate of
(161 gal)/(2 h) = 161/2 gal/h
Working together, they can fill the pool at a rate of
(161/3 + 161/2) gal/h = 805/6 gal/h
so that it would take
(161 gal) / (805/6 gal/h) = 161×6/805 h = 6/5 h = 1.2 h = 1 h 12 min
to fill the pool.
Which of the choices below could be a scientific problem?
a. Tomato plants require 8 hours of direct sunlight to thrive.
b. Plant a tomato seedling 6 inches deep a large pot.
C. If tomato plants receive 4 hours of direct sunlight, then they will thrive.
d. How much sunlight do tomato plants need to thrive?
Answers
Answer:
D. How much sunlight do tomato plants need to thrive?
Step-by-step explanation:
___________probabilities
are always the same given
the same total number of
trials.
A. Calculated
B. Experimental
C. Determined
D. Theoretical
Answers
Answer:
Determined
Step-by-step explanation:
Determined
Check the attached image
Answers
B
Step-by-step explanation:
Note: This doesn’t go to all systems of equation
++++++++++++++++++++++++++++++++++
Here we are given a graph where there’s basically a inequality and we are trying to find out: “Which point is a solution to the inequality?”
Answer + explanation:
Answer: O B. (0, 5)
It would be (0, 5)
Explanation:
Any point inside the shaded area of the inequality would be a solution to the system of equation
Note: The type of inequality that we are taking a look at is a dash line
What do I mean by that? That any point that is in the dash CANNOT be a solution
Therefore our answer is B
anyone know the mean median and mode for this?
with work show pls
Answers
Answer:
just apply d formular 4 each
lykfor the mean=£fx/£f...which x is the inches and f is the frequency...multiply both from 63 to 75 inches e.g 63×2=126, 65×1=65...then add the scores together.... then divide it by the summation of the frequency which is 2+1+4+3+1+2+2+2+1+3+2+2=23. note am applying this method based on the formular
for median=£f/2 since it's odd number add +1
=£f+1/2
=23+1/2
=24/2
=12 .the 12 would fall on 69 inches using the cumulative method
mode is 66 since it's the number with the highest frequency
which of the answers is correct
Answers
Answer:
Option C, sin Y = 38/63
Step-by-step explanation:
sin Y = Opposite/Hypotenuse
sin Y = 38/63
Answered by GAUTHMATH
Which is the graph of f(x) = (2)* ?
Answers
Answer:
the graph of f(x)=×2 called a parabola
Make a box-and-whisker plot for the data. What is the lower quartile value?
56 32 48 52 51 53 48 38 35 42 40 46 54 50
Answers
What is the radius of a sphere with a surface area of 100πcm2?
Answers
Answer:
5cm
Step-by-step explanation:
A=4πr2 = 100πcm2
r = 5
Mike has a total of 1371 coins in his piggy bank if the total value of his coins is $230.25 and make it only has dimes and quarters how many more times than quarters does Mike have
Answers
Answer:129
Step-by-step explanation:(621 x 0.25) + (750 x 0.10) = 230.25
750 - 621 = 129 more dimes than quarters
Tìm giá trị lớn nhất giá trị nhỏ nhất
Cos(x+π/3)+ cos(x-π/3)
Answers
Answer:
GTLN : 1 GTNN: -1
Step-by-step explanation:
Ta có:
[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]
mà [tex]-1\leq cosx \leq 1[/tex]
Nên Max [tex]y=1[/tex] , [tex]x[/tex] ∈ [tex]R[/tex]
Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]
Please explain on how to do this.
Answers
Answer:
2.8 * 1.4 = 3.92.
Hope this answer helps you. Thank you.
Answer:
hope it helps you.........
Choose the composition of translations that maps the image ΔPQR onto ΔP′Q′R′.
Question 4 options:
(x,y) → (x + 6,y + 3)
(x,y) → (x – 6,y – 3)
(x,y) → (x + 6,y – 3)
(x,y) → (x – 6,y + 3)
Answers
Answer:
(x , y ) ---> (x + 6 , y - 3)
Step-by-step explanation:
(x , y ) ---> (x + 6 , y - 3)
P(-1 , 4) -----> P'(-1+6 , 4-3) = P'(5,1)
Comapre P and P' x-coordinate
-1 + a = 5
a = 5 +1 = 6
Q(-1, 2) ----->Q'(-1+6 , 2 -3)= Q'(5, -1)
R(3 , 1) ------> R'(3+6 , 1-3) = R'(9,-2)
Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term
is 54.
Answers
Answer:
10 and 4Step-by-step explanation:
The first term is a, common difference is d.
The 6th term:
a + 5d = 30The 12th term:
a + 11d = 54Solve the system by elimination:
11d - 5d = 54 - 306d = 24d = 4Find a:
a + 5*4 = 30a + 20 = 30a = 10Answer:
Given :-6th term = 30
12th term = 54
To Find :-First term
Common difference
Solution :-We know that
[tex] \sf \: a_{n} = a + (n - 1)d[/tex]
For 6th term
[tex] \sf \: 30 = a + (6 - 1)d[/tex]
[tex] \sf \: 30 = a + 5d[/tex]
For 12th term
[tex]\sf \: a_{n} = a + (n - 1)d[/tex]
[tex] \sf \: 54 = a + (12 - 1)d[/tex]
[tex] \sf \: 54 = a + 11d[/tex]
On subtracting both
[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]
[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]
[tex] \sf \: 24 = 6d[/tex]
[tex] \sf \: \dfrac{24}{6} = d[/tex]
[tex] \sf \: 4 = d[/tex]
Now
Using 2
[tex] \sf \: 54 = a + 11d[/tex]
[tex] \sf \: 54 = a + 11(4)[/tex]
[tex] \sf \: 54 = a + 44[/tex]
[tex] \sf \: 54 - 44 = a[/tex]
[tex] \sf \: 10 = a[/tex]
Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.
Answers
Answer:
Step-by-step explanation:
Height of the triangle = apothem = 9 inches
Base = 6 inches
[tex]Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}[/tex]
Area of regular polygon = Area of 5 triangle.
= 5 * 27
= 135 square inches
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.
Answers
Answer:
V = 267.9 in^3
Step-by-step explanation:
V = 4/3 * (pi) * r^3
V = 4/3 * 3.14 * 4^3
V = 4/3 * 3.14 * 64
V = 256/3 * 3.14
V = 803.84/3
CAN SOMEONE TELL ME WHT DID I DO WRONG ASAP THANK YOU!!!
Answers
The final step. You divided wrong.
8 = 400 / 120 = 10/3
Step-by-step explanation:
The final step. You divided wrong.
[tex] s = \frac{400}{120} = \frac{10}{3} [/tex]
What is the volume of the rectangular prism in simplest terms?
Answers
Answer:
V=w*h*l
Step-by-step explanation:
w=width
h=height
l=length
volume = w*h*l
volume = w*h*l
volume = w*h*l
Are the ratios 1:2 and 13:18 equivalent?
Answers
Answer:
No.
Step-by-step explanation:
If I multiplied 2 by 9 to get 18, I would have to do the same to the 1. This would make the ratio 9:18, not 13:18.
Therefore, these two ratios are not equivalent.
Answer:
123456789101112131415161718192021222324252627282930
if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x
Answers
Answer:
Possible Answers: –5. –21. 7. –1
Answer:
just put the values and simpilyfy it untill you get the value of X
hence, the value of X is either 3 or, -1
