Match each graph below with the correct solution or correct number of solutions to the system of equations. (0,-5) (-1,2) no real solutions infinitely many solutions (-1,5)
Answers
1. infinitely many solutions
2. (-1,2)
3. No real solutions
Please mark brainly if I'm correct.
The given graphs of the system of equations will have an infinite solution, unique solution and no solution, respectively.
What is a system of equations?The types of system of equations in mentioned below.
Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
A.) For the first graph since the lines overlap or lie on each other, therefore, the given system of equation in the first graph will be of Dependent consistent system. Thus, the system will have an infinite number of solutions.
B.) For the second graph since the lines intersect at a particular point, therefore, the given system of equations in the second graph will be an Independent consistent system. Thus, the system will have a unique solution number of solutions. Also, the solution of the equation is the point at which the lines intersect, therefore, the solution of the system of the equation will lie at (-1,2.)
C.) For the third graph since the lines are parallel to each other, therefore, the given system of equations in the third graph will be an Independent consistent system. Thus, the system will have no solutions.
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Related Questions
2 1/2 + (-1/3)
plz, help me with this question I will mark the brainiest.
Answers
Answer:
2 1/2 + (-1/3) = 2 1/6
Step-by-step explanation:
Adding a negative number is the same as subtracting the opposite of it, so you get:
2 1/2 - 1/3
Then you need to convert them to the same denominator by using GCM (Greatest Common Multiple), getting:
2 3/6 - 2/6
Then, you subtract 2/6 from 3/6, getting:
2 1/6
Answer:
ur answer is 3
Step-by-step explanation:
because when ya think about it 1/2 and 1/3 are the same thing just 3 is teenie smaller
20 POINTS An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C=65+60t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?
Answers
Answer:
[tex]the \: slope \: is \to \boxed{60}[/tex]
Step-by-step explanation:
[tex]if \to C=65+60t \\ C=60t + 65 \\ but \: the \: \boxed{ c - intercept} \: is \: in \: the \: form \to \\ c = mt + b \\ hence \to \\ 60t = mt \\ m = \frac{60t}{t} \\ m = 60 \\ the \: slope \: is \to \boxed{60}[/tex]
We want to analyze the given linear equation, we will find that the slope is 60, and it means that he charges 60 per hour.
Linear equations:
A general linear equation is written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
In this case, we have the equation:
c(t) = 60*t + 65
Is easy to identify that the slope is equal to 60.
Given that we know that he charges per hour, and that t represents the number of hours that the electrician worked, we can assume that the slope represents how much the electrician charges per hour.
If you want to learn more about linear equations, you can read:
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A rope is 1012 meters long. A piece of rope 458 long is cut off from the total length of the rope. What is the remaining length?
Answers
Answer:
554
Step-by-step explanation:
1012-458= 554
nothing left to explain
EZ POINTSS!! I WILL GIVE BRAINLIEST!! All you have to do is compete with the other person about what my favorite color is. The winner will receive Brainliest. ..just giving back because I know some people don't have points.
Answers
Answer: red
Step-by-step explanation: that’s mine
Answer:
Pink
Step-by-step explanation:
pls help will mark brainliest if correct
Answers
Answer:
the answer should be clld i am pretty sure
Step-by-step explanation:
I need help bad please anyone I need this
Answers
Answer:
The answer is A because 144 - 121 = 23 so
Step-by-step explanation:
because 144 - 121 = 23
The following are the ages (years) of 5 people in a room:
21, 24, 18, 15, 15
A person enters the room.
The mean age of the 6 people is now 16.
What is the age of the person who entered the room?
Answers
Answer:
3 years old
Step-by-step explanation:
( 21 + 24 + 18 + 15 + 15 + x ) / 6 = 16
93 + x = 96
x = 3
The person who entered the room is 3 years old.
Answer:
3 years old
Step-by-step explanation:
x= age of the person who entered the room
The sum of 21,+ 24,+ 18,+ 15,+ 15 = 93
(93+x ) divided into 6 = 16
Multiply both sides by 6
93+x = 96
x=3
93+3= 96
96/6 = 16
whats the answer for (1 + 1 x 15 /3)sqr2
Answers
Answer:
Answer should be 36
Step-by-step explanation:
I used a calculator, thought I'm not 100% sure what your question is. Please correct me if i'm wrong.
-4-8 and 3-(-1)
thats it
Answers
Answer:
-4-8=-12. 3-(-1)=3
Together they equal -9
Step-by-step explanation:
You have to multiply by the - sign outside the parentheses and the first one just count backwards
Answer:
-12 and -2
Step-by-step explanation:
What is the largest number of three consecutive integers whose sum is 42? O A. 13 B. 17 O C. 15 D. 12
Answers
Answer: 13
Step-by-step explanation:
3X + 3 - 3 = 42 - 3
3X = 39
3X/3 = 39/3
X = 13
Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
13 + 14 + 15 = 42
We know our answer is correct because 13 + 14 + 15 equals 42 as displayed above.
For f(x)=x+1 and g(x)=3x+5, find (f+g)(2)
Answers
Answer:
8x + 12
Step-by-step explanation:
What is the absolute value of 2.8?
Answers
Answer:
2.8
Step-by-step explanation:
It is the same
Could someone please assist me with this vocabulary worksheet
Answers
Answer:
don't take my word for it
Step-by-step explanation:
1. J
2. E; exponent tells us how many times a number is used as a factor
3. L; if the GCF of a fraction is 1, then we cannot simplify it further.
4. C; Binary, means something w/ 2 components (0s and 1s in this case).
5. same as 12, crossed out
6. G
7. I
8. K
9. M
10. D; Divisible, by definition (no remainder/trailing digits e.g.: 1.3495).
11. A; Algebraic factor, it has common symbols used in algebra (e.g.: x)
12. crossed out
13. E; exponent, when we have [tex]3^x[/tex], x is the number telling us this.
[AWENSERED] Which statements are true about the reduction of rectangle ABCD to rectangle A’B’C’D’? Check all that apply.
A ≅ A’
AB ≅ A’B’
CD = C’D’
BC = 3B’C’
D > D’
Answers
Answer: 1 and 4
Step-by-step explanation: just did it
Answer:
1 and 4
Step-by-step explanation:
because yes
totally doesn't say it
Jaime will choose between two banquet services for a party. Service A charges a $ 500 organization fee plus $ 25 for each guest. Service B charges a $ 200 organization fee plus $ 30 for each guest. what is the cost of one guest?
Answers
Answer:
Service B
Step-by-step explanation:
Beacuse it is taking less money
f(x) = x^2 - x^3
Select the value of f(-2)
A. -4
B. 4
C. -12
D. 12
Answers
Answer:
D
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x), that is
f(- 2) = (- 2)² - (- 2)³ = 4 - (- 8) = 4 + 8 = 12 → D
how to completely factor 4x²-2x
Answers
Answer:
2x(2x-1)
Step-by-step explanation:
[tex]4 {x}^{2} - 2x \\ \\ = 2x(2x - 1) \\ [/tex]
Brandon buys a radio for $45.85 In a state where the sales tax is 7%.
Answers
Answer:
Step-by-step explanation:
45.85*7%= 3.21 tax
45.85+3.21=49.06 total
One state that has a 7% sales tax is Texas.
HELP ASAP RIGHT ANSWERS ONLY
You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week?
Answers
Answer:
my last 2 braincells trying to understand this question
Step-by-step explanation:
PLEASE SOLVE, IN A HURRY
the answer is 55
will name BRAINLIEST!!!
Answers
Answer:
34,48
Step-by-step explanation:
Help me?! Solve for x
Answers
Answer:
3
Step-by-step explanation:
180-75
105
105-3
102
102/34
3
Answer:3
34x+3+75=180
34x=180-78
34x=102
x=102/34
x=3
Simplify the expression:
- square root of 96
Answers
Answer:
Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.
Step-by-step explanation:
cc is guaranteed the larger of $500 per week or 7% of sales. last week she 4
sold $6785. How much was her check for?
Answers
Step-by-step explanation:
6785*7%=474.95
Hope this helps
Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?
Answers
Answer:
She got an equally good deal both times
Step-by-step explanation:
[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
they are the same
Name the property of operations illustrated by each statement.
a. 11.1+0=11.1
b. 6(2.7+4)=6(4+2.7)
1 2 1 22 c. 3 1 = 3311
( ⋅ )⋅ ⋅(( ⋅ ))
2
3 2 33
d. 18+(−18)=0
Answers
Answer:
The answer is B
Step-by-step explanation:
All they did was switch the numbers and if you use distribution it will be equal.
PLEASE HELP ME 16 POINTS PLEASE HELP
Answers
Answer:
3/1
Step-by-step explanation:
Answer:
nmhii
Step-by-step explanation:
You are pouring 50 pounds of sand into a wagon. The linear function y= 10x represents the weight y (in pounds) of the sand in the wagon after you have poured x bags of sand into the wagon. Which graph represents the situation?
Answers
Answer:
You have 50 lb of sand, and you are pouring this into a wagon.
We have the relationship:
y = 10lb*x
Where x is the number of bags of sand that you poured into the wagon.
We know that in total, you have 50 lb of sand, then let's find the domain of this function (Domain is the set of the possible values of x)
The minimum will be when x = 0, you poured 0 bags at this point.
And the maximium will be when y = 50lb
y = 50lb = 10lb*x
50lb/10lb = x = 5
Then the domain is 0 ≤ x ≤ 5
Then we only will graph this in that range of values.
The graph will be something like:
HURRY I NEED HELP SOON
One week, Gabriela and Luis earned the same amount of money. Gabriela earned $7.50 per hour babysitting and an additional $10 cleaning her neighbor's garage. Luis earned $6.25 per hour doing yardwork. During the same week, Luis did yardwork for 3 hours more than Gabriela babysat. Let h represent the number of hours Gabriela babysat. Which equation correctly represents this situation?
a. 7.5h+10=6.25(h+3)
b. 7.5(h+3)=6.25+10
c. 7.5(h+3)+10=6.25h
d. 7.5h=6.25(h−3)+10
e. 7.5h+10=6.25(h−3)
Answers
Answer:
7.5h+10=6.25(h+3)
Step-by-step explanation:
...........................................................
A local hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday. There were 59 fewer cheeseburgers sold than hamburgers
On tuesday how much did they sell
Answers
Answer:
On Tuesday
591 burgers are sold.
Some are hamburgers and some are cheeseburgers.
59 fewer cheeseburgers sold than hamburgers.
Number of cheeseburgers --> x
Number of hamburgers --> y
x+y= 591 --> x = 591-y
x = y-59
so
591-y = y-59
-2y = -650
y = 325
so
x = 325-59
x =266
The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.
Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:
1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).
2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).
Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:
H + (H - 59) = 591
Now, combine like terms:
2H - 59 = 591
Next, isolate the term with H:
2H = 591 + 59
2H = 650
Now, solve for H:
H = 650 / 2
H = 325
So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:
C = H - 59
C = 325 - 59
C = 266
They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.
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Shanika and Vanesa are comparing their electric bills for the past month. Shanika is on a standard u
is on an interval use plan. Each person's usage is listed on the chart below:
Standard Use Plan
7.5 cents/kWh for the first 400 kWh
10 cents/kWh for the next 400 kWh
12.5 cents/kWh for anything over 800 kWh
Interval Use Plan
On-peak hours - 15 cents/kWh
Off-peak hours - 3 cents/kWh
Both women use 1,325 kWh for the given 30 day period. Vanesa uses 500 kWh during on-peak hours
peak hours. Which person ends up paying more for their utilities? How much more?
a. Vanesa pays $35.88 more than Shanika.
b. Vanesa pays $99.75 more than Shanika.
C. Shanika pays $35.88 more than Vanesa.
d. Shanika pays $99.75 more than Vanesa.
Answers
Answer:
C
Step-by-step explanation:
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