An equation with all real numbers as solutions is one that, regardless of what value a variable might have, both sides will always be equal, such as 2x+3 = 2x+3. An equation with no real solutions is a statement where the two sides cannot ever be equal, like 2x+5 = 2x+7.
Explanation:An example of an equation with variables on both sides that has all real numbers as the solution is a statement where both sides are identical. For instance, 2x+3 = 2x+3. All real numbers can satisfy this equation for x because both sides are always equal, regardless of what your value of x is.
On the other hand, an equation with no real solutions is one where it's impossible to find any real number that satisfies the equation. An example can be 2x+5 = 2x+7. No matter what value you put in place of x, the two sides of the equation will never be equal. Hence, this equation has no real solution.
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Which value is equivalent to ?
Which fraction is in the simplest form of 224/360?
Store employees are handing out coupons. Every 10th customer gets a $1 coupon. Every 12th customer gets a $2 coupon. Which customer is the first to receive both coupons?
Change 88 feet per second to miles per hour
A jar contains 10 red marbles and 30 blue marbles. what is the probability of randomly selecting a red marble from the jar?
Answer:
10/40
Step-by-step explanation:
There are 10 red marbles out of a total of 40 marbles.
10 red marbles + 30 blue marbles = 40 total marbles.
If you are required to reduce fractions, then it would be 1/4
If 60% of some number is equal to 264, what is the total number
What is v^4-1 simplified
Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how many times farther from the sun is neptune than mercury? enter your answer in scientific notation. if necessary, round your multiplier to the nearest ten-thousandth.
Neptune's distance from the Sun is about 78 times farther than that of Mercury. This result is computed by dividing Neptune's average distance from the Sun by Mercury's average distance from the Sun.
Explanation:The subject here is to determine how many times Neptune is farther from the Sun than Mercury. We have the average distance from the Sun to Neptune as 4.503 × 109 km and the average distance from the Sun to Mercury as 5.791 × 107 km. To find out how many times Neptune is farther from the Sun than Mercury, we divide the distance of Neptune by the distance of Mercury: (4.503/5.791) x 109-7 which equates to 0.77782 times 102 or 7.7782 × 101. Therefore, Neptune is approximately 78 (7.8 × 101 when rounded to the nearest ten-thousandths) times farther from the Sun than Mercury.
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Could someone explain to me how to do the one that says “Determine if each pair of the equation are parallel, ect?
What are the prime factors of 63 in ascending order
A disc jockey has 20 songs to choose from and can only play 8 in the next half hour. how many different playlists are possible?
This problem is a combination problem since it did not indicate that there is a specified order of songs to be played. The type of combination problem is without repetition. Thus the working equation would be n!/r!(n-r)! wherein n is the total number of songs to choose from and r is the number of songs you can choose at a given time. The answer would be 125970.
Answer: 125970
Step-by-step explanation:
The number of combinations of n things taken r at a time is given by :-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Similarly , the number of combinations of 20 songs taken 8 at a time is given by :-
[tex]^{20}C_8=\dfrac{20!}{8!(20-8)!}\\\\=\dfrac{20\times19\times18\times17\times16\times15\times14\times13\times12!}{8\times7\times6\times5\times4\times3\times2\timews12!}\\\\=125970[/tex]
Hence, the number of different playlists are possible= 125970
25 POINTS!!!!!!!!!!!!!!!!!! PLEASE HELP!!!!!!!!!!!!!!!!!!!
Write the range of the function given in the graph in interval notation.
a. [-4,8]
b. (-4,3)∪(3,8)
c. (-4,8)
d. (-4,3)∪(3,8)
To find the range of a function in a graph, observe the y-values the function reaches, from the lowest to the highest. The range given in interval notation represents these y-values. Without the actual graph, an exact answer can't be given in this case.
Explanation:Without a given graph, we cannot discern the correct answer. However, we can still explain how to determine the range of a function given its graph. Starting from the far left of the graph and moving to the far right, the range of the function is the set of all y-values the function takes on. For example, in interval notation, [-4, 8] means the graph starts at least as low as -4 on the y-axis and goes up to at least 8 (including these endpoints). (-4, 3)∪(3, 8) implies that the graph starts at least as low as -4 and goes up to just before 3, and then there is a jump or hole at y = 3, then continues to go up to 8. Without the graph, we cannot determine the exactly right choice from the options provided.
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What does 5×(-3)(-2) egual in algebra.
How to find where a function is discontinuous?
To ascertain points of discontinuity, evaluate where functions are undefined or have limits that do not exist, often due to division by zero or undefined behavior in their basic components. For example, f(x) = 1/ sin x is discontinuous where sin x equals zero.
To find out where a function is discontinuous, we must examine points where the function is not defined or its limit does not exist. For a function defined by building blocks of continuous functions, it will generally remain continuous except at points where it involves division by zero or at points where its simpler components are not continuous.
For example, the function f(x) = 1/ sin x can be seen as the composition of the functions g(x) = 1/x and h(x) = sin x. We know that for a sine function, namely h(x), it is continuous everywhere, but the function g(x) is discontinuous at 0. Hence, f(x) will be discontinuous at points where sin x = 0, which occur at integer multiples of π.
More generally, to check continuity, ask yourself these questions about the function:
Does the function cross zero or involve division by a variable that may be zero?Is the function defined for all values of its independent variables?Is the function graph a single unbroken curve without jumps?If you answer 'no' to any of these, the function might be discontinuous at some points, and hence, it would also be nondifferentiable at those points.
Find the supplement of an angle whose measure is 74 degrees and 51 minutes
Final answer:
The supplement of an angle measuring 74 degrees and 51 minutes is 105 degrees and 9 minutes. This is calculated by subtracting the given angle from 180 degrees, and borrowing if necessary when subtracting minutes.
Explanation:
To find the supplement of an angle whose measure is 74 degrees and 51 minutes, we need to subtract this angle from 180 degrees. One degree has 60 minutes, so if the subtraction of minutes goes below zero, we need to borrow 1 degree (which is equivalent to 60 minutes).
Step-by-Step Solution
Start with 180 degrees 0 minutes.
Subtract the given angle, which is 74 degrees 51 minutes, from 180 degrees 0 minutes.
If the minutes part of the subtraction is negative, borrow 60 minutes from the degrees.
By subtracting the given angle from 180 degrees, we have: 180° 0' - 74° 51' = 105 degrees and 9 minutes (because we borrow one degree to make up 60 minutes).
So, the supplement of the angle is 105 degrees and 9 minutes.
Please help! I am confused
martin and natalie would be the same age if martin were two years older and natalie were three years younger. the sum of their ages is twenty-nine years old. how old is each?
Show your work.
Tanya’s swim club increased their $29 membership fee by $6 a year. What is the approximate percent increase in the membership fee?
A.The approximate percent increase was 20%.
B.The approximate percent increase was 26%.
C.The approximate percent increase was 82%.
D.The approximate percent increase was 120%.
The approximate percent increase in Tanya’s swim club is 20%. Option A is correct.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.
Given that Tanya’s swim club increased its $29 membership fee by $6 a year.
Tanya's increased fee is,
Fee = 29 + 6 = $35
Percentage increase = 32 / 29 = 1.20 or 20% increase
Therefore, the approximate percent increase in Tanya’s swim club is 20%. Option A is correct.
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Which of these is equal to the value of 9-(-5)?
HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is it not necessary to find the measurement of the third angle and show that it is also congruent to the corresponding third angle of a similar triangle?
Below are two different functions, f(x) and g(x). what can be determined about their y-intercepts? x g(x) 3 1 6 2 9 3 (1 point) the function f(x) has a higher y-intercept. the function g(x) has a higher y-intercept. they both have the same y-intercept. the relationship between y-intercepts cannot be determined.
jenna is writing a check to her vehicle registration office for $100.42. how should she spell out this amount in the "written amount" section on her check
convert 170 kg/m^3 to g/cm^3.
On the first play, the football team lost 6 yards. On the second play, the team lost 5yards. What was their total change in yards?
Mrs. thompson receives $596.65 from her company each month. how much does mrs. thompson receive from her company in 12 months? enter your answer in the box.
Answer:
the correct answer is $17159.80The sum of three consecutive even integers is 50 more than the larger integer. What are the integers? Plz show work and answer ASAP.
A popular chain of superstores made 3.0479×10^8 dollars in profit last year. One particular store in the chain made 2.102×10^6 dollars in profit last year.
How many times greater is the profit made by the entire chain last year than by this particular store?
Drag and drop the values into the boxes to represent the answer in scientific notation.
One angle in a triangle is half the largest angle, but three times the smallest. find all three angles.
25900.1000 in scientific notation
259001 x 10^4 is the answer
If the midpoint of a segment is the halfway point, then what is the midsegment of a triangle?
Final answer:
The midsegment of a triangle is a line segment connecting the midpoints of two sides of the triangle, parallel to the third side and half its length.
Explanation:
In geometry, the midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle. By definition, this segment is parallel to the third side of the triangle, and its length is half that of the third side. When we think about a triangle, we must consider it as a three-sided figure on a plane, with three angles adding up to 180 degrees. Within this triangle, the midsegment represents a special relationship between its sides and angles.
An example of a midsegment would be if you have a triangle ABC with points D and E being the midpoints of AB and AC, respectively. The midsegment DE would connect these midpoints and have properties that relate to side BC, the side of the triangle to which it is parallel.
The concept of the midsegment is useful in various geometric proofs and problems because it establishes proportional relationships within the triangle. It aids in solving problems by applying these inherent ratios and proportions.