How do you know if an equation has one solution, no solutions, or infinitely many solutions?
Answer:
Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Step-by-step explanation:
To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.
Here are the general guidelines:
1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.
2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.
3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.
Determining the nature of the solutions often involves algebraic manipulation, simplification, and analysis of the equation to determine if it is consistent, inconsistent, or an identity.
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Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold.
After selling a certain number of shirts, Benito uses some earnings to buy more materials and then increases the price of the shirts.
Which of the following is true?
Answer:
D
Step-by-step explanation:
A&B are definitely not true.
C is a possibility, but does not work
D is correct
Zero of the function:___
X-intercept:____
Y-intercept:____
M:___ (I believe this is the slope)
what is a mathmatical expression? give an example
Answer:
In algebra, we begin to see variables or letters that are used to represent numbers. An example of a mathematical expression with a variable is 2x + 3. In the expression 2x + 3, the coefficient of x is number 2, and it means 2 times x plus 3.
What is 8 x 1/10 = ? Helooo? Couls some one please answaer me i am in the 6th grade so please answer i dont know this lol.
Answer:
0.8 or 4/5
Step-by-step explanation:
[tex]\large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
[tex]8 \times \frac{ 1 }{ 10 }[/tex]
[tex]Multiply \: 8 \: and \: \frac{1}{10} \: to \: get \: \frac{8}{10}.[/tex]
[tex]\frac{8}{10} [/tex]
[tex]Reduce \: the \: fraction \: \frac{8}{10} \: to \: lowest \\ \: terms \: by \: extracting \: and \: \\ canceling \: out \: 2.[/tex]
[tex]\frac{4}{5} [/tex]
[tex] \color{blue}\frac{2 ^ {2}}{5} = 0.8[/tex]
Solve −3.5 = x/4 for x using the multiplication property of equality.
The operation in the problem is
-Addition
-Subtraction
-Multiplication
-Divison
The inverse operation is
-Addition
-Subtraction
-Multiplication
-Divison
= x
0.5
-7.5
-12
-14
Answer:
Step-by-step explanation:
The operation in the problem is division
The inverse is multiplication
(-14)
Answer: division inverse= multiplication answer=-14
Step-by-step explanation:
HELP ME PLS PLS PLS ILL BE BRAINLISTING
7.
a. This is an equation because it has to parts, separated by an equal sign
b. 5 because 5 is the number b is multiplied by in the first part
c. idk
d. a, b, and c are the variables
e. idk
sorry haven't done this in a while
Evaluate the expression. [(3–5)(34)]3
Answer:
-204
Step-by-step explanation:
(3−5)(34)(3)
=−204
Please answer will mark brainliest
Can you please answer this my homework is due ✨
The student government at the local middle school surveyed students to help plan the end-of-year party. For the first sample, they surveyed every other person at sports practice after school. For the second sample, they surveyed every fifth person entering the cafeteria where all students eat. Which statement about the samples is true?
Answer:
Explained below.
Step-by-step explanation:
Convenience sampling is a kind of non-probability-sampling (i.e. all items doesn’t have an equivalent chance of being selected), which doesn’t comprises of random collection of items. Convenience sampling is where we take in items which are easy to reach. This sort of sampling technique results in a biased sample.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval. If the individual k is selected as the first sample then the sample space consists of every kth individual.
In this case the first sample is an example of convenience sample and the second is a systematic sample.
Answer: A
Sample 1 is biased.
Step-by-step explanation:
NEED HELP ASAP PLEASE.
Answer:
b.40
Step-by-step explanation:
GIVING BRAINLY FIRST TO ANSWER ACCURACTELY AND WITH AN AWESOME EXPLANATION!!
Hi! I believe your answer is 48 cups because there are 48 cups in 3 gallons, which is the most he can serve. I hope this helps you! Good luck and have a great day. ❤️ (Also, I see you play R0blox? Friend me: adriii_rose)
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 790 lb. How many boxes of books can the delivery person bring up at one time?
The delivery person can bring up
nothing boxes of books.
Answer:
15
Step-by-step explanation
So, since the weight of the delivery person is 160 lbs... and the weight limit of the elevator is 790 lbs... Then you could subtract. If you subtract 790 lbs and 160 lbs you get 630 lbs.
So, this means that 630 lbs of boxes can go in the elevator
Since each box weighs 40 lbs, then you could divide the remaining pounds that could go on the elevator and the weight of each box. If you divide 630 lbs and 40 lbs, then you would get 15.75, but you can't carry a 75th of a box. So you in this circumstance, you would round down 15.75 to 15.
In conclusion, that's how I got my answer of 15
An electrician cuts a 30 ft piece of wire into 2 pieces. One piece is 2ft longer than the other. How long are the pieces?
Answer:
piece1: 14 feet
piece2: 16 feet
Step-by-step explanation:
piece1: x
piece2: x + 2
x + x + 2 = 30
2x + 2 = 30
2x = 28
x = 14
piece1: x = 14
piece2: x + 2 = 14 + 2 = 16
please please help me!!
Answer:
g(x) = f(x+1) + 1
Step-by-step explanation:
Since the graph is only moved you don't have to worry about the slope.
To move the graph to the left you add to the x and in this case, it only moved 1 over.
to move the graph up you add to the whole function and in this case, it only moved up 1.
What is the least common denominator of 1/14, 3/16, 2/15
the least common multiple of 14, 15, amd 16 is 1680
Make s the subject of the formula
T^2=2p+as
Step-by-step explanation:
Original formula: T^2 = 2p + as
T^2 - 2p = as
s = (T^2 - 2p) / a
Please Help!!!!!!!!!
I need help with these problems please.
Answer:
10 scare crows 3 witches and 4 ghosts
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo? $ per ounce
Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
$0.15 more per ounce does her conditioner cost than her shampoo.
Given that, the shampoo Eva likes to use costs $6 for a 24-ounce bottle.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The conditioner she likes to use costs $12 for a 30-ounce bottle.
Cost of shampoo per ounce =Total cost/Number of ounce
= 6/24
= $0.25 per ounce
Cost of conditioner per ounce =Total cost/Number of ounce
= 12/30
= $0.4 per ounce
Difference =0.4-0.25
= $0.15
Therefore, $0.15 more per ounce does her conditioner cost than her shampoo.
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Matthew scored 84 points in the first 6 games of the basketball season. How many points per game has Matthew scored?
Answer:
He scored 14 points per game.
84/6
Step-by-step explanation:
Good luck!
Answer:
14
Step-by-step explanation:
To find the unit rate for the question you have to divide 84 by 6
Juan's Garage charges $60 per hour plus an evulatation fee of $30. The function to represent the charges f(x)=60x+30, where x represents the number of hours the repairs take. Evaluate f(5.5). Please show you work if you'd would like brainliest!
Answer:
f(5.5) = 360Step-by-step explanation:
function; f(x)=60x+30
where x = 5.5 as a number of hours the repairs take.
find f(5.5)
plugin value of x=5.5 back into the equation:
f(x) = 60x + 30
f(5.5) = 60(5.5) + 30
f(5.5) = 330 + 30
f(5.5) = 360
Step-by-step explanation:
hope this will help you.
help me..i’m not sure what to do
Answer:
$41,500
Step-by-step explanation:
In order to find net worth you must subtract the persons liabilities from the persons assets. Therefore, $113,000 - $71,500 = $41,500.
Hope this helps! Have an excellent day mate!
The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the y-intercept?
Answer:
The y-intercept is 3.90
Pls help ahh I suck at ka ty
Answer:
alana makes $15 an hour
y= $15x
Step-by-step explanation:
y equals the total amount she makes
x equals the amount of hours she works
Myra can fill 18 glasses with two containers of ice tea how many glasses can she fill with three containers of iced tea
Answer:
27
Step-by-step explanation:
If we divide 18 by 2, we get 9. 9 is how many glasses each container of ice tea can fill. 3 x 9 = 27
If f(x) = 2x+ 4, find g(x) = (1/2)f(x).
how to solve this it says solve 6!
Answer:
720
Step-by-step explanation:
6*5*4*3*2*1=720
What is the equation of a line that is parallel to the line y = 2x + 7 and passes through the point (–2, 4)? A. y = −12x + 3 B. y = 2x + 4 C. y = −12x − 2 D. y = 2x + 8
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept)
y = 2x + 7 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To find c substitute (- 2, 4) into the partial equation
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = 2x + 8 → D