There are countless possible solutions to some equations. In these equations, the equation is true regardless of the value given to the variable. If we try to solve an equation and receive a variable or a number equal to itself, there are infinitely many solutions to the equation.
Single-solution equations:
Some equations only have one precise solution. The variable in these equations can only take on one value in order for the equation to be true. When you solve an equation and the result is a variable equal to a number, you know that the equation only has one solution.
Example: For x, find the solution to the equation 6x-3=21.
6x \s= 24
To both sides, add 3.
x \s= 4
Subtract 6 from both sides.
For a single value of the variable, x=4, the equation is true. Consequently, there is only one solution to the equation 6x-3=21
Non-solvable equations:
There are certain equations with no answers. These equations don't have a value for the variable that would make them true. If you attempt to solve an equation and the result is false, the problem has no solutions.
Example: Solve the equation 4x+12=2x+12+2x.
4x+12
= 2x+12+2x
4x+12
= 4x+12 Combine like terms 2x and 2x.
12
= 12 Subtract 4x from both sides.
Since the equation 12=12 is always true, you can change the value of x to make it true. Therefore, 4x+12=2x+12+2x has an endless number of solutions.
Equations that have infinitely many solutions:
The number of solutions to some equations is limitless. When a variable is used in these equations, any value makes the equation true. If you attempt to solve an equation and it yields a variable or value that is equal to itself, then the equation has an endless number of solutions.
Solve the equation 4x+12=2x+12+2x.
4x+12
= 2x+12+2x
4x+12
= 4x+12 Combine like terms 2x and 2x.
12
= 12 Subtract 4x from both sides
Since the equation 12=12 is always true, you can change the value of x to make it true. Therefore, 4x+12=2x+12+2x has an endless number of solutions.
To learn more about no solution or infinite solution:
https://brainly.com/question/17764456
[tex](x + y) ^{2} [/tex]
Answer:
Step-by-step explanation:
(x + y) 2
x2 + 2xy + y2
Answer:
Step-by-step explanation:
This is an example of "the square of a binomial." There is a formula for such cases;
(a + b)^2 = a^2 + 2ab + b^2 (worth memorizing)
Thus, our (x + y)^2 = x^2 + 2xy + y^2
What is the solution to the following system of equations? (-7x - 4y = 29,
3x - y = -7)*
A. (-5, -8)
B. (1,-9)
C. (0,7)
D. (-3,-2)
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A teacher surveyed her class after they had taken a vocabulary test. Elghteen of the students claimed they had studied
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study. 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the
mean?
Answer:
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Step-by-step explanation:
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Answer:
x=90
Step-by-step explanation:
3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90
Answer:
90
Step-by-step explanation:
angle 1 and 4 are equivalent so:
3x - 160 = x + 20
_________________
3x - 160 = x + 20
+160 I +160
3x = x + 180
- x I - x
2x = 108
÷2 I ÷2
x = 90
What is the value of x?
Answer:
Step-by-step explanation:
2x + 12 + x + 1 + x+ 4
2x + x + x = 4x
12 + 1 + 4 = 17
Find the value of x.
Answer:
e
Step-by-step explanation:
hello i need help fast
Answer:
486
Step-by-step explanation:
The Becks buy a plastic tarp to cover their firewood. A rectangle that is eight and one-third yards long and six and three-fourths yards wide. Part A Which equation models the best estimate for the area of the tarp?
Answer:
56 1/4 yards
Step-by-step explanation:
Area of the tarp = length × width
Length = 8 1/3 yards
Width = 6 3/4 yards
Area of the tarp = length × width
= 8 1/3 yards × 6 3/4 yards
= 25/3 × 27/4
= (25 * 27) / (3 * 4)
= 675 / 12
= 56 1/4 yards
Area of the tarp = 56 1/4 yards
please help, tysm if you do :D
Answer:
I think it is C I don't really know but try C
For breakfast, Sarah can choose eggs, granola or oatmeal as a main course, and orange juice or milk for a drink. Sarah says that the sample space for choosing one of each contains 32 = 9 outcomes. What is her error? Explain. Because there are choices for the first item and for the second, there are possible outcomes.
Answer:
The explanation is given below
Step-by-step explanation:
Her error is that she multiplied the possibilities of her meal that involves eggs with milk, granola & oatmeal but the possibilities involves orange juice with egg and granola & oatmeal
Now
If she choose milk so she can select eggs, granola, and oatmeal so there are 3 possibilities also with the orange juice there is 3 possibilities
So, the sample space is
= 3 + 3
= 6 outcomes
Without solving, what can you tell about the solution to this equation? 0.002n + 15 = 2
Answer:
its easy
Step-by-step explanation:
cause it is
"* A party rental company has chains and tables for rent. The total cost to rent 8 chairs and 3 tables is $42. The total cost to rent 2 chairs and 5 tables is $53 what is the cost to rent cach chair and each table?
Answer: t= 10 c= 1.5
Step-by-step explanation:
Write the standard form of the equation of the line through the given point with the given slope. point (-1.0); slope -2/3
Answer:
Step-by-step explanation:
When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)
which here becomes:
y - 0 = m(x + 1), or y = (-2/3)(x + 1), or y = (-2/3)x - 2/3
If you want this in standard form, first clear the fractions by multiplying all terms by 3: 3y = -2x - 2
Now add 2x to both sides, obtaining: 2x + 3y = -2 (in "standard form."
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Step-by-step explanation:
a. 6 £/hr
b. 6.8 £/hr.....is this right?
Answer:
B) 1 hour = £10
Step-by-step explanation:
the higher rate starts from 20 hours and the pay is £120 if you go to 30 hours, the pay rate is £220. A raise of £100. This means the new pay rate is for every 1 hour worked, you get £10
increase 320g in a ratio 5:2
Answer:5/2/320=900
Step-by-step explanation:
The table below shows the low temperature in a town each day for four days. Which of the following lists the temperatures in order
from least to greatest?
Answer: 1,-3,5,-8
Step-by-step explanation: I have the same questions
Someone help me solve for x.
Answer:
y=6
Step-by-step explanation:
Thats my answer hope it helps
Help, please! I need to get this done. :(
Answer:
saw this question on egde its b
-4y-11x= 36
20=-10x-10y
Solve each system by elimination
Answer:
x= -4. y=2
Step-by-step explanation:
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Please help with this
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
Step 1 :-
18.12+ 93.3 111.42Step 2 :-
111.42 - 16.7 94.72Hope it helps!
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Can someone help me with this triangle??
Find missing side lengths
Answer:
Y=75 x=75
Step-by-step explanation:
This is a scalene triangle and the total of the degrees will always be 180. So 180-30=150
since there are two sides split 150 in 2. 150 divided by 2 = 75
Explain in words where this graph is increasing.
Answer:
at the third quadrent the graph is increasing
at third quadrent
Graph a line with a slope of -3 that contains the point (4, -2).
(Just tell me where to put the points please)
Answer:
(4, -2), (3, 7), (5, 1), (6, -2), (7, -5)
Step-by-step explanation:
These are a few of the points, so you can just connect them!
Hope this helped! :)
Answer:
Step-by-step explanation:
If you have both the slope and a point on the line, use the point-slope formula y - k = m(x - h), which here is y + 2 = -3(x - 4).
Now you can choose a few x values at random and calculate the associated y values. Let's try x = -1, x = 3, x = 0:
For x = -1: y + 2 = -3(-1 - 4), or y = -2 -3(-5) = -2 + 15 = 13. The point is (-1, 13).
For x = 3, we get y + 2 = -3(-1), or y = -2 + 3 = 1. The point is (3, 1).
For x = 0, y = -2 - 3(-4), or y = -2 + 12 = 10. The point is (0, 10).
Plot these three points and draw a line through them.
How many feet are in 32 yards?
384 feet
320 feet
96 feet
35 feet
Answer:
96 feet
Step-by-step explanation:
Answer:
32 yards is equal to 96 feet. Hope this helped!! :D
find the mean absolute deviation
15, 17 l, 15, 17, 21 l, 17, 15, 23, 20, 18
Answer:
17.8
Step-by-step explanation:
:)
Factor: x2 + 30x – 70
Answer:
x=
295
−15≈2.175564037
x=−
295
−15≈−32.175564037
Step-by-step explanation:
Answer:
x^2+30x−70
Step-by-step explanation:
Let's simplify step-by-step.
x^2+30x−70
There are no like terms.
7. PART B: Select all the values of x that make the inequality below true. *
x>-1
A. -4
B.-2.
C. -1
D. 0
E. 1
F. 4
Step-by-step explanation:
its 4
which pair of polygons is similar
Answer:
Step-by-step explanation:
c. trust me im right
Please helpp me
The angles shown are supplementary.
What is the value of x?
Answer:
x = 35
Step-by-step explanation:
Answer:
x = 35
Step-by-step explanation:
Remember: The measures of supplementary angles add up to 180
In your case
3x + 15 + 60 = 180
3x + 75 = 180
3x = 105
x = 35