Answer:
y=1/2x+1/2
m=1/2
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(5,3) and (-3,-1).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=3.
Also, let's call the second point you gave, (-3,-1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-3 and y2=-1.
Now, just plug the numbers into the formula for m above, like this:
m=
-1 - 3 over
-3 - 5
or...
m=
-4 over
-8
or...
m=1/2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=1/2x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(5,3). When x of the line is 5, y of the line must be 3.
(-3,-1). When x of the line is -3, y of the line must be -1.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,3) and (-3,-1).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(5,3). y=mx+b or 3=1/2 × 5+b, or solving for b: b=3-(1/2)(5). b=1/2.
(-3,-1). y=mx+b or -1=1/2 × -3+b, or solving for b: b=-1-(1/2)(-3). b=1/2.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(5,3) and (-3,-1)
is
y=1/2x+1/2
20 points
if anybody knows anything about finding like the internal domain and if the function is decreasing please add me on snap I really need the help thankyou
Answer:
awesome 100✓jjjjjjjjjjj
1. A television set costs ₱35 000.00 and a yearly cost of electricity of ₱572.00
Answer:
whats the question for this?
Step-by-step explanation:
Plz l need the answer, If zero lies between a and d, give one set of possible answers for a, b, c, and d.
Answer:
a= -1, b=0, c=1, d=10
Step-by-step explanation:
You are given a.......0.........d
a= -1, b=0, c=1, d=10
In the worst snowstorm in Milwaukee history, 8 inches of snow fell in 12 hours. What was
the unit rate of inches of snow per hour?
2
4 inches
11/3 inches
1/2 of an inch
2/3 of an inch
Music off
O
e
Da
10:18 AM
12/11/2020
Answer:
2/3 inch
Step-by-step explanation:
12 divided by 8
6(10+z+3)=? HELP IT IS DUE TODAY AND I AM ALMOST DONE!!!!
Answer: 6 (z+13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
10-z=6
We move all terms to the left:
10-z-(6)=0
We add all the numbers together, and all the variables
-1z+4=0
We move all terms containing z to the left, all other terms to the right
-z=-4
z=-4/-1
z=+4
Please help how do I do this ??
Helllpppp meeeee plsssssss
Answer:
The inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
Step-by-step explanation:
Given
[tex]\frac{8}{5}<\frac{9}{10}[/tex]
FALSE
Reason: 8/5 or 1.6 is greater than 9/10 or 0.9
[tex]1>\frac{6}{5}[/tex]
FALSE
Reason: 1 is smaller than 6/5 or (1.1)
[tex]\frac{5}{2}<2\frac{1}{2}[/tex]
converting mixed number to improper fraction
[tex]\frac{5}{2}<\frac{5}{2}[/tex]
FALSE
Reason: 5/2 can not be less than 5/2
[tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]
[tex]2<\frac{5}{2}[/tex]
TRUE
Reason: 2 is indeed smaller than 5/2 or 5.2 ∵ 5/2 = 2.5
Therefore, inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
A box is filled with 6 blue cards, 6 brown cards, and 3 green cards. A card is chosen at random from the box. What is the probability that it is a blue or a green card?
Answer:
60% chance of a blue or green card
Someone help please thx in advance
What is the slope of the line represented by the equation Y equals 4/5X -3?
-3
-4/5
4/5
3
Answer:
We conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5Step-by-step explanation:
We know that the slope-intercept of the line equation is
[tex]y=mx+b[/tex]
here
m is the slopeb is the y-interceptGiven the equation
[tex]y\:=\:\frac{4}{5}x-3[/tex]
comparing with the slope-intercept of the line equation
The slope = m = 4/5
Thus, we conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.
How many more pieces of wire than pieces rope will there be?
Answer:
that will be 40(wire)-12(rope)=28parts
Step-by-step explanation:
6meter wire div by 0.15 eq to 40
3meter rope div 0.25 eq to 12
so we use 40-12=28parts
Find the coordinate of the midpoint of line 5,6 and 5,3
Answer:
[tex](5,\frac{9}{2})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (5, 6)
Point (5, 3)
Step 2: Find Midpoint
Substitute: [tex](\frac{5+5}{2},\frac{6+3}{2})[/tex]Add: [tex](\frac{10}{2},\frac{9}{2})[/tex]Divide: [tex](5,\frac{9}{2})[/tex]Answer:
(5, 4.5)
Step-by-step explanation:
You would want to use the midpoint formula to find the midpoint of line 5,6 and 5,3.
Midpoint formula = [tex]\frac{x1 + x 2}{2} , \frac{y1 + y2}{2}[/tex]
x1 = 5
x2 = 5
y1 = 6
y2 = 3
Plug those into the midpoint formula.
[tex]\frac{5+5}{2} , \frac{6+3}{2}[/tex]
5+5=10/2 = 5
6+3=9/2=4.5
you answer will be (5,4.5)
hope this helps.
The scatterplot illustrates the relationship between two quantitative variables: the number of seeds planted per square foot and the yield of the crop (in pounds per square foot).
A graph titled Number of Seeds and Crop Yield has seeds (per square foot) on the x-axis, and yard (pounds per square foot) on the y-axis. The points curve up to a point, and then curve back down.
Which of the following is an accurate description of the scatterplot?
Answer:
I cannot confirm answer (D), but it looks correct to me.
Here's the option:
The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is around 60.
ED2021
Please help with math 4r+2+7r
Answer:
11r + 2
Step-by-step explanation:
I combined liked terms which are the r's, then left the 2 alone because you cant combine it with any other number.
Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
express the result in standard form.
US
Answer:
[tex](f\circ g)(x)=x^2+9x+20[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex](f\circ g)(x)=f(g(x))[/tex]
Therefore, we will have:
[tex]f(x+2)[/tex]
By substitution:
[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]
Simplify. Square and distribute:
[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]
Rearrange:
[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]
Combine like terms:
[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]
19=10−5x+9x−7
what is x?
Answer:
4
Step-by-step explanation:
fourrrrrrr
2x + -10 = 10 + -3x
Explanation
Reorder the terms:
-10 + 2x = 10 + -3x
-10 + 2x = 10 + -3x
Solving for variable x
Move all terms containing x to the left, all other terms to the right
Add 3x to each side of the equation
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
Answer
So your answer is x=4
hope that helps you:)
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping.
Answer:
$177
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
184+38=222
222-45=117
she fell to the floor and cried all afternoon
simple
compound
complex
Answer:
Compound.
Step-by-step explanation:
A compound sentence consists of two independent clauses and one coordinating conjunction to join the two clauses together. "She fell to the floor" is the first independent clause and "She cried all afternoon" is the second independent clause while "and" is the coordinating conjunction.
she fell to the floor and cried all afternoon is a compound sentence.
What is compound sentence ?A coordinating conjunction (for, and, nor, but, or, still, or so) plus a comma, or a semicolon alone, can be used to combine two independent clauses to form a compound sentence.A compound sentence is one that joins two independent clauses with a conjunction, most frequently and or but.They work best when integrating two or more independent, connected sentences into a solitary, cohesive one.At least two independent clauses and one or more dependent clauses make up a compound-complex sentence.To learn more about compound sentence refer,
https://brainly.com/question/24077833
#SPJ2
Approximate square root of 12 to the nearest tenth.
Answer:3
Step-by-step explanation:
Mrs. Robertson is preparing manipulatives for her math class. Each student will receive a plastic cup with 20 two-color counters. The total
number of two-color counters, c that Mrs. Robertson needs varies directly as the number of students, S.
Draw a graph showing the proportional relationship between c and s.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The line on the graph showing the number of counters (c) for s students will have a slope of 20.
Which expression could be used to determine the product of -4 and 342
o(-4)(3)(-4)
x (
0 (-4)(3) + (-4)
0 %)(-4)=(3 ()
(3)(-4) + (3)
Answer:
the second answer
Step-by-step explanation:
.........
Find the coordinates of the reflection: B (8,-1) is reflected over the y-axis
Answer:
good for u
Step-by-step explanation:
Which is the simplified form of the expression
((2^-2)(3^4))^-3 •((2^-3)(3^2))^2
(please be quick!)
help again
álgebra 1
Answer:
A (4,6)
ok im going to go through this step by step
4(4)=3(6)-2
16=18-2
16=16 (true solution)
18=3(4)+(6)
18=12+6
18=18 (true solution)
On a test Jenna gets 85% of the questions correct, Linda get 32 out of 40 questions correct, Karl gets 7/8 correct, and julie gets 0.83 of the questions correct. List the students in order from lowest to higest.
Answer:
Linda, Julie, Jenna, Karl
Step-by-step explanation:
Here, we want to list the students in order from lowest to highest
The key here is to have the scores in the same form, let us say decimals for ease of comparison
Jenna: 85% = 85/100 = 0.85
Linda’s= 32/40 = 80% = 0.8
Karl = 7/8 = 0.875
Julie = 0.83
So from lowest to highest, we have;
Linda, Julie, Jenna, Karl
PLEASE HELP!!!
write an equation in slope intercept form for all these below
14.through: (5, 1) slope=3/5
15. through:(2, -4) slope=-1
17. through:(5,-2) and (-5,3)
Answer:
14. y= 3/5x-2
15. y= -1x-2
17. -1/2
Step-by-step explanation:
Since you have a point and a slope put it in point-slope form first.
Point-slope form: y-y1=m(x-x1)
Then solve for y.
Then you'll get the slope-intercept form.
For number 17 use the slope-intercept form y=mx+b
rise/run= m= y2-y1/x2-x1
Find the missing side of this triangle ROUND TO THE NEAREST TENTH IF NEEDED!! PLEASE HELP WILL MARK BRAINLIEST
Answer:
B option
Step-by-step explanation:
hypotenuse square = base square+ perpendicular Square
please mark me brainliest and 5 star
answer correctly please take ur time and i will give you brainliest
Answer:
15
Step-by-step explanation:45-30 OVER 3-2= 15
A snack mix recipe calls for 1 1/2 cups of dip and 1/3 cup of vegetables. Cole wants to make the same recipe using 1 cup of vegetables. How many cups of dip will cole need.
Answer:
4 1/2 cups of dipStep-by-step explanation:
Let required amount be x
Using the ratio to find x:
1 1/2 ÷ x = 1/3 ÷ 1x = 1 1/2 × 3x = 3/2×3 x = 9/2 x = 4 1/2 cupsSelect the function that represents the simple interest formula.
Answer:
C
Step-by-step explanation:
A P E X