Answer:
Only noninteger values of x
Step-by-step explanation:
did this already
Only non integer values of x best describes the possible values of x in the equation [x-1]=[x]
What is Number system?A number system is defined as a system of writing to express numbers.
When x is an integer, the equation simplifies to [x-1] = [x], which means that the greatest integer less than or equal to (x-1) is equal to the greatest integer less than or equal to x.
This is only possible if x-1 and x are consecutive integers, so x must be an integer value of n + 1/2 for some integer n.
For non-integer values of x, we have x-1 < [x] < x, which means that [x] is equal to the greatest integer less than or equal to x-1.
So, the equation becomes x-1 < [x] < x, which simplifies to x-1 < x - {x} <= x, where {x} is the fractional part of x.
Therefore, we have x-1 < x - {x} and x - {x} <= x, which gives 1 < {x} and {x} <= 0, which is not possible.
Hence, the only values of x that satisfy the equation are non-integer values of x.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ7
Need help with this question and also need to know how to put this on a calculator. It's in the picture.
Answer:
f(-3) = 36g(5) = -21Step-by-step explanation:
f(x) = 3x² - 3x
g(x) = -5x + 4
Find the value of the function when x = -3:
f(x) = 3x² - 3x
f(-3) = 3(-3)² - 3(-3)
f(-3) = 3(9) + 9
f(-3) = 27 + 9
f(-3) = 36
Find the value of the function when x = 5:
g(x) = -5x + 4
g(5) = -5(5) + 4
g(5) = -25 + 4
g(5) = -21
Hope this helps!
Solve x^2 - 3x + 5 = 0.
Answer: A
Step-by-step explanation:
x^2 - 3x + 5 = 0 - quadratic equation
Standard quadratic equation form: a^2 + bx + c = 0
Here a = 1, b = -3, c = 5Discriminant formula: D = b^2 - 4acD = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)
x1 = (-b - sqrt(D)) / (2*a)x2 = (-b + sqrt(D)) / (2*a)x1 = (3 - sqrt(-11)) / 2
x2 = (3 + sqrt(-11)) / 2
Paul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought
Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.60 per slice, then how much of the money is left at the end of the school week?
A. $18.80
B. $14.10
C. $12.60
D. $14.20
Answer:
C. $12.60
Step-by-step explanation:
he has $25.00 for the whole week
monday through thursday, or four days, he buys school lunch for $1.50
1.5 x 4 = 6
on friday, he buys 4 slices of pizza for $1.60 per slice
4 x 1.6 = 6.4
Expenses together:
6.4 + 6 = 12.4
Find what he has left:
25-12.4 = 12.6
C. $12.60
the table shows the enrollment in a university class so far, broken down by student type.
adult education 7
graduate 2
undergraduate 9
Considering this data, how many of the next 12 students to enroll should you expect to be undergraduate students?
Answer:
6
Step-by-step explanation:
The number of students in the next 12 to enroll should you expect to be undergraduate students is 6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
From the table,
Total number of students = 7 + 2 + 9 = 18
Number of undergraduates = 9
Probability of having a undergraduate student to enroll = 9/18 = 1/2
When the next 12 students are enrolled,
Number of undergraduates = 1/2 × 12 = 6
Hence 6 students are expected to be undergraduates in the next 12 students.
Learn more about Probability here :
https://brainly.com/question/30034780
#SPJ2
There are 3 people fishing at a lake. Each person caught 5 fish. What was the total number caught by 9 people?
Each person caught 5 fish.
Multiply 5 fish by total people.
5 x 9 = 45
Answer: 45 fish
Answer:
45 fish
Step-by-step explanation:
Given :
Each of the 3 people caught 5 fishSolving :
For 9 people, multiply the number caught by each into 95 × 945 fishQuestion 1:
Your goal this year is to earn a B or better in Algebra class.
If you do, your parents said they would give you $200.
Write an inequality to represent the grades you can earn
and receive money from your parents for it. Then explain
the graph for the inequality. Hint: Remember you cannot
earn higher than a 100 in any class.
[tex]b \geqslant x \leqslant a[/tex]
Solve the inequality:
8+4≥12
Answer:
I think it would be x<5
Step-by-step explanation:
hope this helps if not let me know have a blessed day
A rectangular school yard is 96 meters wide and 178 meters long. What is its perimeter?
Answer: 69 square meters
Step-by-step explanation:
I need help on question b
Answer:
B=25
Step-by-step explanation:
Simply plug in 10 where x is
2(10)2(10-5)/10(10) = 25
On June 1, Bonnie's car had 23,825 miles. On
September 1, her car had 24,385 miles. What is
the average rate of change?
Step-by-step explanation:
well, it changed by 560 miles overall. in a matter of 3 months.
but for the rate of change I have to ask what is the unit of time for that consideration ?
the rate of change is the change of the functional value over an interval divided by the length of the interval.
if 3 months is the unit of time, then the change rate is 560/1 = 560 miles per quarter.
if the unit of time is 1 month, then the change rate is 560/3 miles per month.
if the unit of time is days, then we have 30+31+31 = 92 days in that interval, and the change rate is 560/92 = 140/23 miles per day.
and so on.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes 5 to 8 no votes was
to
. If there were 7761
total votes, how many yes votes were there?
Answer:
2985 yes votes.
Explanation:
Yes : No
5x : 8x
Total Ratio: 5x + 8x = 13x
Solve for x
13(x) = 7761
divide both sides by 13
x = 597
Yes-Votes: 5(x) = 5(597) = 2985
No-Votes: 8(x) = 8(597) = 4776
Can you guys help me please :(
Answer:
720 m²
Step-by-step explanation:
Area = base × height
= 12 × 6
= 72 mm²
≈ 720 m² (1 mm = 10 m)
Find the measure of each angle in the diagram.
The measure of each angle in the diagram are 4y° = -82°, (6y - 41)° = 164°, (3x + 2)° = 98°, 2(x + 17)°= 98
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
Two lines are intersecting each other at a point making two pairs of vertical angles.
The pair of vertical angles are equal in measure.
4y° = (6y + 41)° [Vertical angles]
4y - 6y = 41
2y = -41-----(1)
(3x + 2)° = 2(x + 17)° [Vertical angles]
(3x + 2)° = 2x + 34°
x = 32 ------(2)
Therefore, 4y° = -82°
(6y - 41)° = 164°
(3x + 2)° = 98°
2(x + 17)°= 98
Learn more about angles;
https://brainly.com/question/18193074
#SPJ1
14. Which is a true statement if Line XY is tangent to Circle P?
a. ab=bc
b. a^2 = bc
c. a = bc
d. a^2 = 5(b + c)
Answer:
d. [tex]a^2 =b(b+c)[/tex]
Step-by-step explanation:
Option d is the correct answer.
Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume this rate is his constant rate for delivering goods. If you graph this relationship with time along the x-axis and number of deliveries along the y-axis, the slope of the line you get gives Noel's unit rate for a successful delivery. Which unit rate can be interpreted as the slope?
The unit rate can be interpreted as the slope will give [tex]\dfrac{1}{8}[/tex] of a delivery per hour
What is graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given: The total time for which Noel drives = 152 hours
The total number of successful deliveries = 19
Now, Noel's unit rate for successful delivery is given by:-
[tex]\rm =\dfrac{Total\ succesful\ deliveries}{Total\ hours}=\dfrac{19}{152}=\dfrac{1}{8}[/tex]
Hence, Noel's unit rate for the successful delivery 1/8 of a delivery per hour
To know more about graph follow
https://brainly.com/question/25020119
#SPJ1
What is the name of this polygon? rhombus rectangle square trapezoid A quadrilateral. What is the name of this polygon?
rhombus
rectangle
square
trapezoid
A quadrilateral. Each angle has a small square.ach angle has a small square.
Step-by-step explanation:
Rectangle: A quadrilateral with four right angles; a rectangle is a type of parallelogram. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases)
On a map. 1 inch equals 10 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.
Answer:
20 mile
Step-by-step explanation:
One inch is equivalent to 10 miles. Given this comparison in regards to scale, 2 inches would simply be 2 times that. In basic terms, 2 times or inches multiplied by each 10 mile increment would be stated as 2 inches x 10 miles, resulting in a 20 mile distance between the two cities.
One angle in a pair of supplementary angles has a value of 2x. The other angle is 30 degrees less than two times the first angle. Which of these equations can be used to find the measurement of each angle?
6x-30=90
6x+60=90
6x-30=180
6x+60=180
The equations which can be used to find the measurement of each angle will be 6x-30=180.
What is the supplementary angle?The supplementary angles are defined as the angles whose sum is equal to 180°.
It is given that:-
One angle in a pair of supplementary angles has a value of 2x
The other angle is 30 degrees less than two times the first angle.
Now from the first condition, One angle in a pair of supplementary angles has a value of 2x we can write that:-
2x + A = 180 .........................1
Now from the second condition,The other angle is 30 degrees less than two times the first angle
A = 4x - 30 ..............................2
Hence from the above two equations put the value of A in equation 1
the equation will be:-
2x + 4x - 30 = 180
6x - 30 = 180
Hence the equations which can be used to find the measurement of each angle will be 6x-30=180.
To know more about supplementary angles follow
https://brainly.com/question/12919120
#SPJ1
Which of the following is the absolute value parent function?
Answer:
A. F(x) = |x|
Step-by-step explanation:
Any number that substitutes for x inside of the absolute value parent function will be converted to a positive. Example: |-43| = 43
Britney is buying a shirt and a hat at the mall. The shirt costs $30.50, and the hat costs $19.75. If Britney gives the sales clerk$100.00, how much change should she receive? (Ignore sales tax.)
A. $49.75
B. $50.25
C. $59.50
D. $46.65
7th grade math probability
Super easy
(Look at picture)
Answer:
3/6
I say that the probability is 3/6 because there are 3 spaces, and we are counting one spin. There are 6 spots total.
Answer:
maybe the answer is 3/5.
Do message me if the answer is wrong
What is the discriminant of the quadratic equation 2x + 5x = 1?
0-18
0-16
022
24
The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.
--
Use this formula
b²-4acPlug in
You get 24
Answer:
24
Step-by-step explanation:
Discriminant
b² - 4ac (when ax² + bx + c = 0)
Assuming the given equation is: 2x + 5x² = 1
Rewrite the equation so that it equals zero:
⇒ 5x² + 2x - 1 = 0
Therefore, a = 5 b = 2 c = -1
Input these into the discriminant formula and solve:
⇒ 2² - 4(5)(-1) = 4 + 20
= 24
Therefore, the discriminant of the quadratice equation is 24.
PLEASE HELP !!!!!!
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, what is the volume of the water that was displaced (in cubic inches)?
The volume of the water that was displaced will be equal to 0.06 cubic feet.
How are the density, volume, and mass of a substance-related?Suppose that a finite amount of substance is there having its properties as:
mass of substance = m kg
density of substance = d kg/m³
volume of that substance = v m³
Then, they are related as:
[tex]d = \dfrac{m}{v}[/tex]
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, then the volume of the water that was displaced will be
We know that the density of the water is 62.4 pounds per cubic foot.
Then we get
3.7 = 62.4 × volume
Volume = 0.059
Volume ≅ 0.06 cubic-foot
To learn more about the density ;
brainly.com/question/952755
#SPJ1
Step-by-step explanation:
' MLB
ML Ĺ
bryon yuuù 6553w2 wasmay what is this portion insulator used for
In order to predict future housing needs the population of two towns, Appletown and Callwood, have been monitored and plotted on a graph for the past four years. The results are shown on the graph above. If both towns continue to grow at their current rates, which town will have the largest population at year 10 of the study? A
If both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
What is exponential growth?Exponential growth occurs when the pattern of increase is higher with the passage of time.
The formula for the exponential increase is as follows:
f(x)=a(1+r)^{x}
Where:
f(x) = exponential growth function
a = initial number or amount
r = growth rate
{x} = number of time intervals
Thus, if both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
Learn more about exponential growth at https://brainly.com/question/2456547
#SPJ1
If the temperature today is 3 more than twice what it was yesterday and the temperature today is 66, what was the temperature yesterday?
Using algebra to solve this problem, which of the following is one step that you will take?
Step-by-step explanation:
x is the temperature yesterday
Answer:
Step-by-step explanation:
The correct answer is
Write the equation 66=2y+3.
valuate if x = 2 and y = 6 4x + 5y
Answer:
38
Step-by-step explanation:
4(2)+5(6)
=8+30
The answer=38
how to simplify (4i)^2 ?
Answer:
-16
Step-by-step explanation:
Simplify:[tex](a*b)^m=a^m * b^m\\[/tex]
i² = -1
(4i)² = 4² * i²
= 16 * (-1)
= -16
Let's examine what we know:
[tex](ab)^x=a^x * b^x[/tex]
So, In the equation: [tex](4i)^2[/tex]
⇒ is equivalent to ⇒ [tex]4^2*i^2= 16 * (-1) = -16[/tex]
Answer: - 16
Hope that helps!
miss rose teaches three ballet classes. her students' data are shown in the relative frequency table. which statement is true?
A. 20% of her students are in the intermediate class.
B. 25% of her students are in the beginner class.
C. 60% of her students are boys.
D. 15% of her students are girls.
Two lines intersect at a point, forming angle 1, angle 2, angle 3, and angle 4.
Angle 1 and angle 3 are vertical angles.
Angle 2 and angle 4 are vertical angles.
m angle1 = 70
What is the measure of angle 2?
O 20°
O 70°
O 90°
O 110°
A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour, what is the rate of the current ?
Answer:
4.5 mph or 9/2 mph
Step-by-step explanation:
Let x be the rate of the current
Formula: Distance = rate x time
where rate upstream =(12-x) and time =2 hours
15=(12-x)(2)
15=24–2x
2x=24–15
2x= 9
x=9/2=4.5 miles per hour (rate of current)