Answer:
The minus sign between the two fractions was not distributed correctly.
Step-by-step explanation:
The error made in this solution of rational fractions' subtraction is that the minus sign between the two terms will change the signs of numerator of second fraction so the numerator in the answer will be 3.
The correct solution is:
[tex]\frac{1}{x-2} - \frac{1}{x+1}\\=\frac{x+1}{(x-2)(x+1)} - \frac{x-2}{(x-2)(x+1)}\\=\frac{x+1-(x-2)}{(x+1)(x-2)}\\=\frac{x+1-x+2}{(x+1)(x-2)}\\=\frac{3}{(x+1)(x-2)}[/tex]
Hence,
The error was in the last step of subtraction.
Answer:
You must subtract all terms of the numerator being subtracted out, not just the first term.
The negative 2 should have been subtracted out to get a numerator of x+1 - x+2
The simplified numerator of the difference should be 3, not –1.
Step-by-step explanation:
got it right on edge 2020
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Answer:
your doing slope too?
Step-by-step explanation:
bro im doing that rn
Answer:
Slope: 1
Y intercept: 2 or (0,2)
Equation: y=x-2
Step-by-step explanation:
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Sure whats the problem?
The value of the expression 5³ is 125.
We have,
The concept used in calculating the value of 5 raised to the power of 3 is exponentiation.
In mathematics, exponentiation is an operation that involves raising a base number to a certain power.
The base number (in this case, 5) is multiplied by itself repeatedly, where the number of times it is multiplied is determined by the exponent (in this case, 3).
When we raise 5 to the power of 3, we can interpret it as multiplying 5 by itself three times:
5³ = 5 x 5 x 5 = 125
So, the concept of exponentiation allows us to quickly calculate the result of multiplying a number by itself multiple times, where the exponent indicates the number of repetitions.
Thus,
The value of the expression 5³ is 125.
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The complete question:
What is the value of 5 raised to the power of 3?
Write the equation of a line through (0,2) that is parallel to the graph
Answer:
y=3x+2
Step-by-step explanation:
Refer to the picture that given :)
Given: Triangle ABC with vertices A(5,-2), B(5.-7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?
Answer: C (0,0), (-4,0) and (0, -5)
Step-by-step explanation:
After repositioning the triangle, the vertices will be A(0, 0), B(0, -5), and C(-4, 0). This new positioning will make the coordinate proof easier since the coordinates are now simpler, and one vertex is located at the origin, which often simplifies the calculations in coordinate geometry proofs.
To make a coordinate proof easier, it's helpful to reposition the triangle in a way that simplifies the calculations and coordinates. In this case, you can reposition the triangle by translating it so that one of its vertices aligns with the origin (0, 0). This process is known as translation.
Let's reposition the triangle so that vertex A(5, -2) aligns with the origin (0, 0). To do this, we need to subtract the x-coordinate of vertex A from all the x-coordinates of the other vertices and subtract the y-coordinate of vertex A from all the y-coordinates of the other vertices.
The new coordinates for the repositioned triangle will be:
A(5, -2) -> A(0, 0) (remains the same, as it aligns with the origin)
B(5, -7) -> B(5 - 5, -7 - (-2)) -> B(0, -5)
C(1, -2) -> C(1 - 5, -2 - (-2)) -> C(-4, 0)
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A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 33 chaperones for a field trip with 24 2424 students.
Answer:
Step-by-step explanation:
3 chaperones for every 24 students or 3:24
so that would be 1 chaperone for every 8 students
What is 6^4 x 6 1/4????
Answer:
8100
Step-by-step explanation:
I suck at math please do this for me I’ll give you anything
Answer:
Step-by-step explanation:
20:
What are the greatest common factor of 9a^b and 30ab^3?
Answer: 3ab IF a^b does NOT mean a to the power of b!
I believe you mean 9a²b and 30ab³
If you really mean 9aᵇ and 30ab³, then the GCF is 3a.
Step-by-step explanation:
the factors of 9 are 3*3 The factors of 30 are 2*3*5.
The only common factor of 9 and 30 is 3
a is a common factor of a and a²
b is a common factor of b and b³
Given the function defined in the table below, find the average rate of change, in simplest form, or the function over the interval 20
Answer:
Average rate of change = 0.4
Step-by-step explanation:
Average rate of change of a function in the interval [a, b] is defined by the formula,
Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
From the table attached,
Rate of change of the function in the interval 20 ≤ x ≤ 40 will be
= [tex]\frac{f(40)-f(20)}{40-20}[/tex]
= [tex]\frac{24-16}{40-20}[/tex]
= [tex]\frac{8}{20}[/tex]
= [tex]\frac{2}{5}[/tex]
= 0.4
Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4
Help ASAP!!!!!!! Points
Answer:
A: (3x+24):3x = 85:51
Step-by-step explanation:
85 seems to be the total (RT + TP). 51 seems to be just TP alone.
This means that for the side lengths above, it should be in this format:
(length of QP):(length of SP)
The length of QP is 3x+24, as 3x is SP and QS is 24.
The length of SP is just 3x.
I hope this made sense, please leave a comment if it didn't ^^'
Answer:
∆RPQ ~ ∆TPS
now
RP: TP=QP:SP
(34+51);51=(3x+24):3x
(3x+24):3x=85:51 is your answer
One number is five more than another. If their sum is increased by nine, the result is 60. Find the numbers.
Answer:
The two numbers are 23 and 28
Step-by-step explanation:
We are given that
[tex]X = Y + 5\\and\\(X+Y) + 9 = 60\\X+Y = 51\\(Y+5) + Y = 51\\2Y + 5 = 51\\2Y = 46\\Y = 23\\\\X = Y + 5\\X = 23 + 5\\X = 28[/tex]
help im being timed what is the area of the rectangle?!
Answer:
30
Step-by-step explanation:
Hope this helps.
Which of the following is an open statement
Answer:
where are the options please
a truck that can carry no more than 6200 pounds is being used to transport refrigerators and upright pianos eat refrigerator weighs 250 pounds in each piano weighs 425 pounds right and graph an inequality to show how many refrigerators and how many pianos the truck carry what 11 refrigerators and eight panels overloaded truck explain let X the number of refrigerators in the truck y the number of pianos in the truck right in any quality to show how many refrigerators and how many pianos the truck carry
Answer:
sorry i just need points but ya
Step-by-step explanation:
Quadratic functions 2. Did I do it right
What is the equation of the line shown in this graph?
Answer:
y = 1
hope that helps you
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y= 8x +7
Step-by-step explanation:
slope-intercept form:
y= mx +c, where m is the gradient (or slope) and c is the y-intercept.
Since it is a linear function, the gradient of any 2 points would be equal.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Thus, gradient of the line
[tex] = \frac{39 - 23}{4 - 2} \\ = \frac{16}{2} \\ = 8[/tex]
Subst. m=8 into the equation:
y= 8x +c
To find the value of c, substitute a pair of coordinates.
When x=0, y= 7,
7= 8(0) +c
c= 7
Thus, the equation of the linear function is y= 8x +7.
what is the equation of the line in slope intercept form
Please Help Quick ASAP Hurry This is Pre-Algebra 1 i need the answer now please ASAP
Which Word Best describes the numbers 10 and -10?
A.Opposites
B.Coordinate
C.Absolute Value
D.Expression
Answer:
Part A
Step-by-step explanation:
Find the sale price to the nearest cent.
$325 tent; 15% discount
Answer:
$276.25
Step-by-step explanation:
$325 times (100% -15%)
$325 times 0.85
I’m so confused someone please help!
Answer:
Step-by-step explanation:
7x - 42 + 5x = 180 {linear pair}
7x + 5x - 42 = 180 {Combine like terms}
12x - 42 =180
12x = 180 + 42
12x = 222
x = 222/12
x = 18.5
5x = 5*18.5 = 92.5
7x - 42 = 7*18.5 - 42 = 129.5 - 42 = 87.5
Rounded to the nearest whole number, approximately how many inches is 8.39 kilometers?
A.
21,311 inches
B.
33,018 inches
C.
213,106 inches
D.
330,180 inches
Answer:
D. 330,180 Maybe?
Step-by-step explanation:
8.39 Kilometers = 330314.961 Inches
I rounded to 330,315
Which expression is undefined
Answer:
A
Step-by-step explanation:
Any rational expression where the denominator is zero is undefined.
The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]
The function f and g are such that f(x) =2x + 5 /(x -4) and g(x) = 2x – 3 Calculate the value of(i) g(4) (ii) fg(2) (iii) gˉ¹(7)
Answer:
g(4) = 5, fg(2) = 7/-3, gˉ¹(7) = 2
Step-by-step explanation:
i.) g(4)= 2(4) -3
g(4) = 8 -3
g(4) = 5
ii.) fg(2)
g(2) = 2(2)-3
g(2)= 4-3
g(2) = 1
fg(2) = 2(1)+5/1-4
fg(2) = 7/-3
iii.) g(x) = 2x -3
g(y) = 2y -3
x = 2y -3
x-3 = 2y
y= (x-3)/2
gˉ¹(7) = ((7)-3)/2
gˉ¹(7) = 4/2
gˉ¹(7) = 2
A high school football team scored 39 points in the game last night, with a combination of touchdowns (6 points each), extra points (1 point each), and field goals (3 points each).
The team make 1 more extra point than field goals, represented by the equation e=f+1, where e is the number of extra points and f is the number of field points scored.
They also scored five times as many points on touchdowns as field goals, represented by the equation 6t=15f, where t is the number of touchdowns and f is the number of field goals scored.
Write a system of equations representing this situation and use it to complete the statement.
The team scored __ touchdowns, __ extra points, and __ field goals.
Answer:
39=6t+3f+e
39=19f+1
5 touchdowns, 3 extra points, and 2 field goals.
Step-by-step explanation:
e=f+1
6t=15f
39= 6t +3f +e
^ ^ ^
39=(15f)+(3f)+(f+1) | e=f+1 | 6t=15f
39=19f+1 | e=2+1 | 6t=15(2)
38=19f | e=3 | 6t=30
f=2 | | t=5
what are the lengths of the sides of a square which has an area of 81 cm
Answer:
9 cm
Step-by-step explanation:
If the area is 81 cm², this means that the length is 9 cm as length² of a square equals its area.
what is the shortest possible distance between the houses
Answer:
A.) 8.5 miles
Step-by-step explanation:
I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.
Hope this helped.
The shortest distance between the two houses is 13 miles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.
Given, The base is 12 miles and the height is 5 miles.
Therefore by Pythagoras' theorem,
Hypotenuse = √(5² + 12²).
Hypotenuse = √(25 + 144).
Hypotenuse = √(169).
Hypotenuse = 13 miles.
So, The shortest distance between the houses is 13 miles.
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Can someone help me!!
Answer:
Its not clear what form to write this equation in but the relationship is that 3 cubes are added from figure to figure. The best equation i can think off would be y=x+3. This is because the new figure, y, is equal to the figure before it plus 3
y=x+3 is the best answer in this case
Step-by-step explanation:
The distance on a map between lake view and bay cove is 4.5 inches. The map key says 0.5 inches on the map is equivalent to 1 mile. what is the actual distance between Lake view an bay cove?
Answer:
9 miles
Step-by-step explanation:
yes i used a calculator
Answer:
9 miles.
Step-by-step explanation:
What I did was 4.5/.5
The I got 9. Then I checked it on a calculator and got 9 again.
So.. your answer is 9 miles.
Hope this helped ya!
please someone help asap i will give brainliest
Answer:
Step-by-step explanation:
c≥ -1.95
[-1.95,∞)
solid circle on -1.95 and go right