Consider the system of equations shown below. y = negative 5 x + 1. y = negative 5 x + 10 When graphed, the system consists of two lines that will never meet, no matter how far they are extended. Why are the lines parallel? The linear equations have the same slope and y-intercept. The linear equations have different slopes and y-intercepts. The linear equations have the same slope but different y-intercepts. The linear equations have different slopes but the same y-intercept.
The reason why both graphs are parallel because they have the same slope but different y-intercept.
Think about it. If both graphs have same slope and same y-intercept. The graph will intercept each others infinitely.
Then if we change the y-intercept into any numbers that aren't the same as another equations for ex.
y = -5x+1 and y = -5x+10
then we will get the parallel graph. Or if you solve the equation, the equation will not be true, thus giving the graph parallel.
But if it is y = -5x+1 and y = -5x+1 which both are the same graph. Then the graph will intercept each others infinitely. Or if we solve the equation, we will get 0 = 0 which makes the equation true for all real numbers.
Therefore, the reason why both graphs are parallel is because that they have the same slope but different y-intercept.
That's all.
Answer:
c
Step-by-step explanation:
Solve: 7n + 5 = -44 HELPPPPPPPPPPP
Answer:
-7
Step-by-step explanation:
7n+5=-44
-5 - 5
7n=-49
7/7 -49/7
n = -7
PLEASE HELP QUICK!!!!!! WILL GIVE BRAINIEST!!!!!!
Answer:
5) 9/6
6) -5/4
Step-by-step explanation:
The formula to find slope is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]. A line rising left to right has a positive slope. A line rising right to left has a negative slope.
Hope it helps!
Maximum value of p plz help
Answer: sorry i cant help but i love the username
Step-by-step explanation:
Pls right it in y=mx+b form i make you brainlist
Answer:
y = (1/6)x - 5
Step-by-step explanation:
Substituting m for the the slope:
y = (1/6)x + b
Plugging in the values showed in the point (x = 12, y = -3):
-3 = (1/6)12 + b
-3 = 2 + b
b = -5
y = (1/6)x - 5
Hope this helps!
Calculate each sum or difference, be sure to estimate first
12 2/5 + (-3 1/4)
3-2.5/3 + 4/3
I already tried 1.5 and it was wrong, please help!
Answer:
3-2.5/3+4/3
3-0.833+4/3
3+1.33-0.833
4.33-0.833
3.500
please help out anyone
Answer:
The equation of the exponential function will be:
y = 12·(2)ˣStep-by-step explanation:
The general exponential function is defined as
y = abˣ
Here,
a is the initial value and b is the growth factor
From the table, it is clear that the y-intercept is (0, 12). Note that the y-intercept can be determined by setting x=0 and solving for y.
here
at x=0, y=12
so a = 12
If we check the y-values, it is clear that every next value of y can be obtained by multiplying the previous y-value by 2.
In other words, the common multiplier = b = 2
Thus, the equation becomes
y = 12·(2)ˣ
Thus, the equation of the exponential function will be:
y = 12·(2)ˣ--- BONUS!---
During one night, possums ate two fifths of the fifty five fruits on a tree. If one eleventh of the
eaten fruit grew back, how many fruits are now on the tree?
Grade 8 Number Sense and Numeration
IL
Answer:
35
Step-by-step explanation:
2/5x55=22
55-22=33
22x1/11=2
33+2=35
35 left on tree
if 12 squared + b squared = 15 squared what is b squared.
Answer: 3
Step-by-step explanation:
Bill is going for a run. He runs for 19.2 miles at a speed of 6 miles per hour. For how many hours does he run
Answer:
3.2miles per hour
Step-by-step explanation:
19.2 / 6 = 3.2
just 7 i really dont want to do the work 3
Answer:
267
Step-by-step explanation:
Solve for x: 3x − 2 > 5x + 10. (5 points)
Question 9 options:
1)
x > 6
2)
x −6
Answer:
x < -6
Step-by-step explanation:
3x - 2 > 5x + 10
first step is to isolate x
3x -2 >5x +10
3x > 5x + 10 + 2
3x -5x > 10 + 2
now that we have 3x and -5x we can combine them
-2x > 10 + 2
now add 10 +2 =12
-2x > 12 (now divide by -2)
x < -6 (when we divide we flip the inequality sign)
What else is needed to prove these triangles congruent using the ASA postulate?
The thing needed to prove these triangles congruent using the ASA postulate is B. Nothing else is needed to use the ASA postulate.
What is the ASA postulate?The triangles are said to be congruent if two angles and the included side of one triangle match two angles and the included side of another triangle.
It should be noted that the triangles given are identical and the sides are equal.
Therefore, the thing needed to prove these triangles congruent using the ASA postulate is that nothing else is needed to use the ASA postulate.
Learn more about postulate on:
https://brainly.com/question/10652734
#SPJ1
A team's "winning percentage" shows how often it won. The team's "opponents' winning percentage" shows how often all its opponents won. But those opponents also played against other teams. Our team didn't have a chance to play against them. The "opponents' opponents winning percentage" shows how often all those other teams won. Summarize this in your own words.
Answer and explanation:
If a team's winning percentage denotes how often it has won then,
Then assume that it has won 7 out of 10 times then it has won 70% of the time
If the team's opponents' winning percentage denotes how often each has won without haven to face the team, then assume that each opponent has won 6 out of 10 times then it has each opponent has won 60% of the time(it could be different percentages if teams have won different number of games for each 10 games played)
If each opponent's opponents have each won 5 out of 10 times, 8 out of 10 times, 7 out of 10 times(assuming 3 groups, say 3 each, of opponents for 3 teams) then the groups must have won 50%, 80% and 70% of the time.
Answer:
1 and 4 :))
Step-by-step explanation:
284 + 0 = 284 is an example of which property?
Most staircases in use today have 9−inch treads and 8 12 −inch risers. What is the slope of a staircase with these measurements? Give your answer as a fraction or rounded to four decimal places, if necessary
Answer:
The value is [tex]m = 0.9022[/tex]
Step-by-step explanation:
From the question we are told that
The length of the treads is [tex]a = 9 \ inch[/tex]
The length of the risers is [tex]b = 8.12 \ inch[/tex]
Generally the slope of the staircase is
[tex]m = \frac{b}{a}[/tex]
=> [tex]m = \frac{8.12}{9}[/tex]
=> [tex]m = 0.9022[/tex]
Given the graph below, solve the system of equations.
Answer:
(4, 3 )
Step-by-step explanation:
Given a system of equations graphically, then the solution is at the point of intersection of the 2 lines.
The lines intersect at (4, 3 ) ← solution
please help me with these problems!!!
Answer:
A=7 B=4 C=7 D=15
Step-by-step explanation:
IM TRYIN DEKU
Which is the product of and 9?
A 54
B) 27
C 18
D) 6
He uses
Answer:
Product of 6 and 9 = 54
Product of 3 and 9 = 27
Product of 2 and 9 = 18
Product of 2/3 and 9 = 6
:)
-34 -3X= 3
Y =-5X -17
solved in a substitution
Charlie started his candy sale with 48
Candy bars. Now he has 32 candy bars. Find
the percent decrease.
Answer:
I think its 7% but I could be wrong
what value (s) for n will make this expression true?
Answer:
0 and 3.5
Step-by-step explanation:
Answer:
0 and 3.5
Step-by-step explanation
Ye
What is 70%, percent of 20
11.) The sum of four consecutive even
integers is 68. Find the four consecutive
even integers. What is the 3rd integer
in the sequence?
Answer:
Four consecutive even integers are 14, 16, 18 and 20Step-by-step explanation:
Let N be the first even integer
Each consecutive integer is 2 away from the previous integer
Next consecutive integer = N + 2, next one = N+4 and the last one = N +6
Add these expressions together, set them equal to 68 to solve for N
==> N + (N +2) + (N +4) + (N + 6) = 68
==> N + N +2 + N +4 + N + 6 = 68
==> 4N + 12 = 68
==> 4N = 68-12
==> 4N = 56
N = 56/4 = 14
So the integers are 14, 16, 18 and 20
Third integer in the sequence is 18
Reflect (4, -5) over the x axis
Answer: (4,5)
The answer is (4,5)
your welcome
Answer
4,5
Step-by-step explanation:
is your awnser......
Find the area of a square with a side measurement of 3 1/2 inches.
Answer:
A=9
Step-by-step explanation:
Mai has $36 to spend on movie tickets each movie ticket cost 1.50 dollars how many tickets can she buy
Answer:
Step-by-step explanation: is it 24
what is the slope of this line?
Answer:
-2/3
Step-by-step explanation:
(3,1), (0,3)
(3-1)/(0-3) = 2/-3
Hope this helps! :3
plz mark as brainliest!
Which CANNOT be part of an expression?
A)
numbers
B)
variables
C)
Equal sign
D)
addition sign