Answers
Step-by-step explanation:
It's easier to graph when both equations are in its slope-intercept form, y = mx + b.
System 1: -3x -15y = 15-2x -10y = 10-2x -10y = 10
-2x + 2x - 10y = 2x + 10
-10y = 2x + 10
-10y/-10 = (2x + 10)/-10
y = -1/5x -1 [slope: -1/5, y-intercept (0, -1)]
-3x -15y = 15
-3x + 3x - 15y = 15
-15y = 3x + 15
-15y/-15 = (3x + 15)/-15
y = -1/5x - 1 [slope: -1/5, y-intercept (0, -1)]
To graph this system, plot the y-intercept, (0, -1) on the graph, then use the slope, m = -1/5 (down 1 unit, run 5 units to the right). Repeat the process until you have enough points to connect and create a line.
Because the given systems of linear equations are equivalent, their lines coincide on top of each other. This means that they have infinitely many points of intersection. Hence, they have infinite solutions.
System 2: 8x + 6y = 244x + 3y = 98x + 6y = 24
6y = -8x + 24
6y/6 = (-8x + 24)/6
y = -4/3x + 4 [slope: -4/3, y-intercept (0, 4)]
4x + 3y = 9
3y = -4x + 9
3y/3 = (-4x + 9)/3
y = -4/3x + 3 [slope: -4/3, y-intercept (0, 3)]
Use the same techniques as described in the first part. Plot the y-intercepts on the graph, then use the slope of each equation to plot other points.
These lines are parallel, which implies that they will never intersect each other. Hence, there's no solution to this system.
Attached are the screenshots of the graphed systems of linear equations.
Related Questions
- 3 7/9 - 1 2/9
What is this answer
Answers
Answer:
-5
Step-by-step explanation:
(-3 7/9) - 1 2/9 = -5
Hope this helps :)
Pls make brainliest :3
And have an amazing day <3
Answer:
-5
Step-by-step explanation:
Since the signs are alike, we add and then take the sign
-(3 7/9 + 1 2/9)
-(4 9/9)
-(5)
what is z in -5/2 = 3/4z + 1/2? please also explain the steps i’m really confused
Answers
Subtract 1/2 to both sides of the equal sign
-6/2=3/4z
Now to get Z By itself we will do inverse property and multiply both sides of the equal sign by 4/3
Z=-4
(b) If you have budgeted $20 for a cab ride to tour the downtown area, how far can you go? Set up and solve an equation.
Round your answer to two decimal places.
If you have budgeted $20 for a cab ride to tour the downtown area, you can go miles.
Answers
Answer:
15 miles
Step-by-step explanation:
PLS HELP REAL ANSWERS ONLY
Answers
Answer:
(0;2), maximum
Step-by-step explanation:
Estimate a 15% tip on a dinner bill of 69.85 by first rounding the bill amount to the nearest ten dollars
Answers
Answer:
10.5$
Step-by-step explanation:
Nearest 10 dollar: 70$
since the tip is 15% u take the 15 and divide it by a 100
amd than multiply the answer with 70$
the answer will be 10.5$
The answer to a multiplication problem
with 4 negative numbers will always be
Answers
-2 x -2 x -2 x -2 = 16
Can someone help me solve this
Answers
Answer:
Constant of proportionality = 1/3
y = 1/3a
Step-by-step explanation:
Constant of proportionality: k = y/x
k = 1/3
k = 4/12 = 1/3
I dont know.. Please anwser this
Answers
If k and l are parralel, that means if you move them to each other, or shift k, you will get the same angle as ABC. Thus, it's still going to be 19 degrees.
I am kindly a lost help
Answers
Answer:
First of all this is a negetive slope so it goes down and its y-intersect is -4
and it is a slope of -8/6 or -1 2/3
So the slope is
-8/6-4
Hope This Helps!!!
Li enters a competition to guess how many jelly beans are in a jar.
Li’s guess is 345 jelly beans.
The actual number of jelly beans is 300.
What is the percent error of Li’s guess?
Answers
Answer:
15
Step-by-step explanation:
345-300 X 100 = 15%
300
Answer:
Percent error =
15%
Li’s guess was off by
15%.
Step-by-step explanation:
TTM </3
Connor was traveling in Mexico and is returning to his home in the United States.
He has 2,567 pesos left. The current exchange rate is 1 U.S. dollar is equal to 19.43
pesos. How many U.S. dollars will he have if he converts his leftover pesos to
dollars?
$2,567
$102.68
$132.12
$3,414
Answers
Answer:
Connor will have $132.12 usd
2567(pesos)/19.43(exchange rate) = $132.12
<3Miss Hawaii
Write your answer in a + bi form.
A=___
B=___
Answers
Answer:
Step-by-step explanation:
[tex]\frac{-3+7i}{-6-7i} \times \frac{-6+7i}{-6+7i} =\frac{18-21i-42i-49i^2}{(-6)^2-(7i)^2} \\=\frac{18-63i -49(-1)}{36-49i^2} \\=\frac{18+49-63 i}{36-49(-1)} \\=\frac{67-63i}{36+49} \\=\frac{67-63i}{85} \\=\frac{67}{85} +(\frac{-63}{85} )i\\[/tex]
[tex]a=\frac{67}{85} \\b=\frac{-63}{85}[/tex]
Find the value of g(5) if
g(x) = { -2 x<-3
5 -3< x <6
4x x> 6
A) 6
B) 20
C) 5
D) -10
Answers
Answer:D
Step-by-step explanation:
I’ll give 50 points if you can help
Answers
Answer:
x = 6 degrees
Step-by-step explanation:
A straight line is 180 degrees and we can make out three angles the form it, this means the three of them add to 180 using the straight angle theorem:
5x + x + 54 + 90 = 180
6x + 144 = 180
6x = 36
x = 6
Find the unit price of the pens and round to the nearest tenth if necessary
Answers
Answer:
The answer is .21
Step-by-step explanation:
$3.15÷15=.22
Hey can anyone help with this problem pls and ty !
Answers
Step-by-step explanation:
(x + 20)º and (4x - 5)º are supplementary angles, meaning the sum of their angles = 180º.
(x + 20) + (4x - 5) = 180
5x + 20 - 5 = 180
5x + 15 = 180
5x = 165
165/5 = 33
Answer: x = 33
EASY QUESTION WILL GIVE BRAINLIEST
Sally can paint a room in 6 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answers
Answer:
2.727 or 2 8/11
Step-by-step explanation:
5 * 6 / (5 + 6) =
30/11
= 2.72727273 or 2 8/11
Given f (x) = 5x - 3, find f (-2)
Answers
Answer:
f(- 2) = - 7
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x), that is
f(- 2) = 5(- 2) + 3 = - 10 + 3 = - 7
Divide the difference between 1,000 and 200 by 4
Answers
Answer:
200
Step-by-step explanation:
1,000-200=800
800/4=200
Answer:3200
Step-by-step explanation:
1000 subtracted by 200 =800
multiply 800 by 4 =3200
Kennedy is making dessert for Thanksgiving.
She decides to make thirteen pumpkin pies. To
make each of the 13 pies she is baking she will
need 12 cups of pumpkin, 4 cups of sugar, and
1 cup of milk. How many cups of pumpkin will
Kennedy need to make all her pies?
Answers
Answer:
156 cups
Step-by-step explanation:
The most important info in this problem are for every 1 pie, she needs 12 cups of pumpkin. So do 13 pies x 12 cups = 156 cups of pumpkin.
pls pls pls help help help pls this is important to me look at the picture
Answers
Answer:
here this should be right
what is the sequence of 1. 4. 6. 24. 26
Answers
Answer:
Multiply by 4, then add 2
Step-by-step explanation:
1*4 = 4
4 + 2 = 6
6*4 = 24
24 + 2 = 26
and so on...
What is the x value such that y =15 - 3x and y = 0?
Answers
0 = 15 - 3x
Subtract 15 from both sides
0 - 15 = -3x
Simplify
-15 = -3x
The negatives cancel out:
15 = 3x
Divide by 3 on both sides
5 = x
I have more question then this
Answers
Answer:
Reflection over the y-axis
Step-by-step explanation:
It is moved onto the opposite side of the y axis and it is flipped. Therefore it is a reflection over the y-axis
Eduardo had some
bubble tape. He gave 5
⅙ feet to his friends and
now he has 2 ¼ feet left.
How much bubble tape
did Eduardo start with?
first correct answer gets brainlist
Answers
Answer:
7 5/12 feet of tape
Step-by-step explanation:
Find the LCM and add the fractions in this case is 12
If the graph of equation 2x+ky=10k, intersect x-axis at point (5,0).Find the value of K
Answers
Answer:
K= 1
Step-by-step explanation:
The line of AOB intersects the graph at the x-axis at point (5,0)
(5,0)=(x,y)| (x=5, y=0)Soooo...
2x+ky=10k2(5)+k*0=10k10=10kk=10/10k=1I need helpp plz I will mark brainliest and i will follow but plz help me
Answers
Answer:
up 5 and 1.5 and -6 and 6 (if im not mistaking)
Step-by-step explanation
Factor the expression using the common factor −4 .
−12x+2.4y−48
Drag a value or operation/sign to the boxes to correctly factor the linear expression.
Answers
Answer:
-4( 3x - 0.6y + 12)
Step-by-step explanation:
The expression - 12x + 2.4y - 48 taken a common factor of - 4 we have
- 4(3x - 2y + 12).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
The common factor on the other hand is the highest possible value that we can divide each of the given terms.
Given, - 12x + 2.4y - 48.
- 12x + 8y - 48.
Taking - 4 as the common factor we'll have
- 4(3x - 2y + 12).
learn more about common factors here :
https://brainly.com/question/11221202
#SPJ2
A snail travels 12 centimeters in 4 minutes. The snail travels the same distance each minute. How many milliliters did the snail travel each minute?
Answers
Answer:
the snail travels 30 mm per minute
Step-by-step explanation:
Well 12 cenitmters divided by 4 minutes equals the amount of centimeters the snail travels per minute, which is 3 centimeters (12 / 4 = 3). but be careful cuz we need to convert the 3 cm to mm. 1 cm = 10 mm so 3 cm = 30 mm.
the snail travels 30 mm per minute
Please help me do it
Answers
Step-by-step Explanation:
We are going to solve this problem using integration by parts. We can write the integrand as
[tex]\dfrac{4x}{x^2+4x+3} = \dfrac{4x}{(x+3)(x+1)}[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{A}{x+3} + \dfrac{B}{x+1}[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{Ax + A + Bx + 3B}{x^2+4x+3}[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:=\dfrac{(A+B)x + (A+3B)}{x^2+4x+3}[/tex]
Comparing the above term to the left hand side, we can see that
(A + B)x = 4x
A + 3B = 0
Solving for A and B, we find that A = 6 and B = -2 so our integrand becomes
[tex]\dfrac{4x}{x^2+4x+3} = \dfrac{6}{x+3} - \dfrac{2}{x+1}[/tex]
We can now easily integrate this expression as follows:
[tex]\displaystyle \int{\dfrac{4x}{x^2+4x+3}}dx = 6\int{\dfrac{dx}{x+3}} - 2\int{\dfrac{dx}{x+1}}[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:= 6\ln|x+3| - 2\ln|x+1| + C[/tex]