There is a difference between the expressions -x/y and -x/-y
How to determine if there is a difference between the expression?The expressions are given as:
-x/y and -x/-y
When the expression -x/-y is evaluated, we have:
-x/-y = x/y
This means that
-x/y = -x/y
-x/-y = x/y
When the above expressions are compared, we can see that both expressions are not equal
Hence, there is a difference between the expressions -x/y and -x/-y
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Describe the end behavior of each polynomial.
(a) The leading coefficient is positive and the degree is odd, so:
As x approaches infinity, y approaches infinity.As x approaches negative infinity, y approaches negative infinity.(b) The leading coefficient is negative and the degree is even, so:
As x approaches infinity, y approaches negative infinity.As x approaches negative infinity, y approaches negative infinity.A 40-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece, and the
third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all
three pieces.
Answer:
X represents 32
Step-by-step explanation:
Bc x plus 30 = 62 - 30 equals 32 0-0
Answer:
1st=5, 2nd=10, 3rd=25
Step-by-step explanation:
We can make an equation to figure out the lengths of all 3 peices:
1st piece is represented as x
2nd piece is twice as long as the first, so 2x will represent that.
3rd piece is 5 times as long as the first, so 5x will represent that
together that is x+2x+5x=40
you can then simplify that to be 8x=40
40/8=5 so x=5
You then plug 5 in as x to figure out the lengths of the other pieces
1st=
5
2nd=2(5)
10
3rd=5(5)
25
:D
what number is 5 the square root of
Answer: 25
Step-by-step explanation:
We know this because 5 × 5 = 25
or 5² = 25
and also √25 = 5
11. STEM Connection The world's biggest submarine
can sail at a speed of about 25.5 miles per hour on
the surface. How can you describe the relationship
between 5 and 0.5?
5 is at the one-place value, and 0.5 is at the tenth-place value. 5 is ten times the value of 0.5.
What is described as the once and tenth place?There are one or more digit numbers in a number. 43 has the digits 4 and 3. The value of a numeral is determined by its position in the number.The number one in the number twelve is located in the tens place. The 2 in 12 is now in the one position. 95 has a 9 with in tens position and a 5 with in ones position.The number 0 is significant. The zero in twenty indicates there are no ones. That tells us that the 2 in 20 are in the tens. 20 is made up of two tens and zero ones.For the given question;
The speed of the world's biggest submarine is 25.5 miles per hour on the surface.
Thus, in the value of 25.5, the digit 5 lies on the once place.
The value 0.5 lies on the tenth place.
Now, it is clear that the 5 is the 10 times the value of 0.5, which is the required relation.
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150 is 96 percent of what number
Answer:
Step-by-step explanation:
Comment
Let the unknown number = x
You should try and figure out if x is bigger than 150 or less than 150.
The equation will tell you.
96/100 * x = 150 96/100 = .96 So you will get something larger than 150 for x
Combine
96/100 = 0.96
Equation
.96*x = 150 Divide by 0.946
.96x/.96 = 150/0.96
Answer
x = 156.25
And as predicted, the answer is larger than 150, because you were dividing by a number less than 1
A recent study of 50 U.S. chess players details such things as the number of years the players have been active and the chess ratings of the 50 players. (A chess rating is a number, with a higher number indicating greater expertise.) The chess rating data for the sample of 50 players are summarized in the following histogram.
Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.
What is the missing information?This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:
6 of these players have scores between 300 and 700.6 of these players have scores between 700 and 1100.13 of these players have scores between 1100 and 1500.14 of these players have scores between 1500 and 1900.6 of these players have scores between 1900 and 1300.5 of these players have scores between 2300 and 2700.It asks the proportion of players in the sample with scores that are less than 2300.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
Above, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:
p = 45/50 = 0.9.
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The perimeter of the pentagon below is 63 units. Find the length of side AB.
Write your answer without variables.
Answer:
15
Step-by-step explanation:
The sides add to 63, so:
[tex]11+3x+11+x+2+2x+3=63 \\ \\ 6x+27=63 \\ \\ 6x=36 \\ \\ x=6 \\ \\ \implies AB=2(6)+3=15[/tex]
You have a Chick-fil-A gift card worth $50. After you buy lunch on Monday, its value is $46.50. After you
buy lunch on Tuesday, its value is $43. Write an explicit formula to represent the amount of money left on
the card as an arithmetic sequence.
What is the value of the gift card after you buy 12 lunches?
7. AB=x+9, BC = 3x-4. Find AC.
B
с
хто + 3x
-3x
3х
2
A
2х
-2x=
The value of AC = 4x + 5.
How to do addition of the variables?A variable is defined as any property, number, or amount that can be counted or measured.
Even despite their different operations, adding and subtracting variables follow the same rule: once adding or subtracting terms with the identical variables, you either add and otherwise subtract the coefficients and leave the result with the variable.
Addition. So because variables are the same in this equation, you can add every one of the coefficients (2, 5, and 4). (a).2a + 5a + 4a = 11a
Subtraction. Since the variables are equal in this equation, you could indeed subtract each of the coefficients (11, 5, and 4). (a).11a – 5a – 4a = 2a
Similarly with the question;
AB = x+9, BC = 3x-4
AC = AB + BC
AC = x + 9 + 3x - 4
Add the variable and constant part separately.
AC = 4x + 5
Thus, the value of AC is found as 4x + 5.
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x=b/4 = c solve for x
To solve for x, the given equation will be transformed as x = c - b/4
What is the equation?
A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions in order to express their equivalence. The meanings of the (one or more) word equation and its cognates in various(different) languages can vary slightly. For instance, an equation in French is described as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign. Finding the values of the variables that result in equality is the first step in solving a variable equation. The variables for which the equation must be solved are known as unknowns, and the unknown values that fulfill the equality are known as the equation's outcomes. Individual equations and conditional equations are the two types of equations.Given that,
x-b/4 = c
To solve for x, the given equation will be transformed as-
x = c - b/4
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In ANOP, OP = 12, PN = 7, and NO = 10. Which statement about the angles of ANOP
must be true?
Om/N> m/P> m/0
m/0> m/P> m/N
O m/0> m/N > m/P
Om/P> m/0> m/N
Om/P> m/N > m/0
Om/N> m/0> m/P
Submit Answer
Step-by-step explanation:
.............................-
evaluate the function f(x) = square root of x at given value
Answer:
2/11
Step-by-step explanation:
since the square root of 4 is 2 and that of 121 is 11
From this year to ten years, the number of people employed as physician assistants in the country is expected to increase by 39%. The number of people employed as physician assistants today is 56,000. Find the predicted number of physician assistants after ten years.
Answer:
the predicted number of physician assistants after ten years is 77840.
Step-by-step explanation:
The number of people employed as physician assistants today is 56,000.
increment in employment =39%
after 10 years
total physicians= 56000*(1+0.39)
[ total =initial + profit]
[profit =profit*initial]
=77840
the predicted number of physician assistants after ten years is 77840.
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A number, x, rounded to 1 decimal place is 12.3
Write down the error interval for x.
The error of interval for x will be [12.25, 12.35) for rounding off to 12.3 to 1 decimal place
In the given question, a number supposed to be 'x' is rounded off to the 1 decimal place, so that the number rounded off becomes 12.3. So, it is given that the number x is rounded off to 12.3 by 1 decimal place.
From this, we get that x should be greater than or equal to 12.25 and x should be smaller than 12.35. The equations will be :
=> x ≥ 12.25 and x < 12.35
So, the x lies between 12.25 and 12.35 which defines the error of interval for x.
Hence, the error of interval for x will be [12.25, 12.35)
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Decrease -18 by 18.
The difference is ___?
( the answer is not 0 or -324)
Answer:
-36
Step-by-step explanation:
-18 - 18 = -36
Please help I’m about to lose it!!!
Calculate the distance between the points N=(-8, -2) and C= (-3, 1) in the coordinate plane
Give an exact answer (not a decimal approximation).
34 is incorrect
Answer: 8
Step-by-step explanation:
starting from the x coordinates, -8 and -3, subtract them and get 5. Moving on to the y coordinates, -2 and 1, you add 2 and 1 to get 3. In total after adding 5 and 3 you get 8. When the coordinates (that are in the same spot) are the same, you are subtract. But when they are different, you add. Sorry if this is confusing! But in the end, 8 is he answer.
Please help?
I don’t understand this
Answer:
Please see the graph below
Step-by-step explanation:
The table is just selecting numbers for x and then solving for what y would be. Once we have the ordered pairs (x,y) We can graph the points and see the line.
determine the range of the following graph. PLEASE HELP MEEE
Answer:
-5 ≤ y ≤ 5
Step-by-step explanation:
Hello!
The range is the set of y-values that the graph passes through.
Since the endpoints of the graph are filled in, meaning they include the values they end on, we use the ≥ or ≤ symbols to write the inequality for the range.
The minimum y-value is -5, and the maximum y-value is 5.
The inequality for the range would be -5 ≤ y ≤ 5.
A car company uses the table below to show customers the approximate amount of gas used when a car has been driven a certain number of miles.
Gas Use
Miles driven
Gallons of gasoline used
120
6
300
15
360
18
480
?
If the car always uses the same amount of gasoline each mile, how many gallons of gasoline would be needed to travel 480 miles?
A.20
B.24
C.33
D.39
At a cruising speed of 120 miles per hour, an airplane burns 8 gallons of fuel per hour. If the airplane covered 180 miles at cruising speed, how many gallons of fuel did it use?
A. 5.3
B. 12
C. 20
D. 22.5
Answer:
D. 22.5
Step-by-step explanation:
120 divided by 8
plus 60 divided by 8
= 22.5
The average professional hockey player makes $2.78 million a year. They play an average of 82 games
much does the average hockey player make per game?
have data on the weights in grams of 5 baby pythons. Thè mèan weight is 3l.B and dre standard deviation of the r,veights is2.79. The correct units for the standard deviation are
We have data on the weights in grams of 5 baby pythons. Their mean weight is 31.8 and the standard deviation of the weights is 2.79 . The correct units for the standard deviation is Grams.
According to the question statement, We have data on the weights in grams of 5 baby pythons. Their mean weight is 31.8 and the standard deviation of the weights is 2.79.
The correct units for the standard deviation is Grams because the unit of standard deviation is the unit of simple data and the unit of variance is the square of the simple data unit.
And as we know the unit of weight is Grams only hence we conclude that Grams is the correct unit of standard deviation.
Standard Deviation: Abbreviated as SD and standard deviation is a measure of the amount of variation of a set of values. A low standard deviation indicates that the values tend to be close to the mean (expected value) of the set, while a more or high SD indicates that the values are spread out over a wider range.To learn more about standard deviation, click on the given link below
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192 students in 4 buses
________ in each bus
Answer:
48
Step-by-step explanation:
use a calculator
I need help on question 82 a,b,c,d,e
Answer:642
Step-by-step explanation:
Look at the book and solve it
Construct a polynomial function that might have the graph. Yes, you guessed
it, there could be more than one answer! Only give me one of the possibilities.
Leave your answer in factored form.
There is a 'strike-through' root at -1 and a double root at 2, so the equation is of the form
[tex]y=a(x+1)^3 (x-2)^2[/tex]
Since the y-intercept is 4,
[tex]4=a(0+1)^3(0-2)^2 \implies 4a=4 \implies a=1 \\ \\ \therefore \boxed{y=(x+1)^3 (x-2)^2}[/tex]
the sum of two consecutive integers is 187. find the integers
Answer:
92.5 and 94.5
___________________
Solve[tex]187 \div 2 = 93.5\\\mathrm{Split\:93.5\:into\:two\:integers\:by\pm1}\\93.5 - 1 = 92.5\\93.5 + 1 = 94.5[/tex]
→ Thus, we have our two integers.
_________________________
Suppose you transform a square corn field by increasing one side by 2 units and decreasing the other side by 3 units. If the area of the resulting corn field equals 24, what was the length of the original corn field?
Answer:
8 and 3 are the length and the width
Step-by-step explanation:
3
What is the quotient of 20/8 divided by 5/12?
85/12
12
16
25/9
Answer:
6 (None of the above)
Step-by-step explanation:
Let's solve the problem,
→ 20/8 ÷ 5/12
→ 20/8 × 12/5
→ 240/40 = 6
Hence, the answer is 6.
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=1/3x+5
Step-by-step explanation:
Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept. y and x don't need to be specified for this specific problem.
You figure out the slope by using rise over run
you first pick 2 random points on the line and then count how you get from the 1st point to the 2nd point.
Let's say the points are (-3,4) and (0,5).
to get to (0,5) from (-3,4) you count up 1 (rise) and right 3 (run).
that means your slope is 1/3
Your b, or your y-intercept, is just where the slope intercepts the y-axis, so b=5
From there you just plug those into the equation:
y=1/3x+5
:D
Susie saved up her money and bought a model train. Rack of the 8 cars on the train were the same length. When Susie put all the trains together the train was 3 feet long. How long was each car?
In linear equation , length of each car =.375 feet.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Rack of the cars on the train were the same length = 8
train was 3 feet long.
length of each car = 3/8 = .375 feet
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