PLATO: Multiplying and Dividing Radical Equations: Mastery Test
Select the correct answer.
Assuming that no denominator equals zero, which expression is equivalent to (n^2-7n+12)/(n-3)(n+4)
Answer:
D
Step-by-step explanation:
took the test
The expression is equivalent to (n² - 7n + 12) is (n-4)/ (n+4).
The correct option is D.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We have,
(n² - 7n + 12) / (n-3)(n+4)
So, Factorizing (n² - 7n + 12)
= (n² -3n - 4n +12)
= n(n-3)- 4(n-3)
= (n-3)(n-4)
Then, (n² - 7n + 12) / (n-3)(n+4)
= (n-3)(n-4)/ (n-3)(n+4)
= (n-4)/ (n+4)
Learn more about Expression here:
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A slope field produces...
A. the graph of the general solution to the differential equation
B. the graph of the derivatives of the differential equation
Please explain. I am so confused on this.
It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).
More to the point: Slope fields are used to visualize solutions to differential equations of the form
y' = f(x, y)
You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).
Sample several points and evaluate y' at those points and you get several different slopes.
Simple example:
y' = x ² - y ² = (x + y ) (x - y )
Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes
y' = f (1, 1) = 0
y' = f (-1, 0) = 1
y' = f (2, -2) = 0
From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.
If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.
What is the difference of
5
6
−
5
12
? Use the fraction strip to help.
One whole fraction strip is equal to six one-sixth fraction strips. It is also equal to twelve one-twelfth fraction strips.
A.
0
B.
5
12
C.
7
12
D.
5
6
The difference of 5/6 - 5/12 is 5/12..
What is a fraction?A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by the denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator same.
In this question, we need to apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:
Given
5/6 - 5/12
Now multiply by 2 in fraction 5/6
10/12 - 5/12
5/12
The difference is 5/12.
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The Richardson family is out to dinner at their favorite restaurant. The bill comes to $28.85 How much money should they leave for the bill and a 20% tip? Please explain step by step
find the ratio of 15minutes and 1hour
Answer:
4 : 1
Step-by-step explanation:
1 hour : 15 minutes
However we cannot write like this since they aren't of the same unit, so you can either change the minutes to hour by dividing it with 60 or change the hours to minutes by multiplying it with 60.
1 hour = 60 minutes
60 : 15
The ratio can be simplified.
12 : 3 ( 60 and 15 are multiples of 5 )
The ratio can again be simplified further.
4 : 1 ( 12 and 3 are multiples of 2 )
5. ALGEBRA Refer to the figure in
Exercise 4. If m/1 = 4x + 40, and
m25 120°, what is the value of x?
Answer:
the value of x equals to 20 thats is solution okay
The model represents the factorization of 2x2+5x+3.
What are the factors of the polynomial?
Answer:
(2x+3)(x+1)
Step-by-step explanation:
HELP MY FRIENDS PLEASE I BEG OF THEE
The answer has to be 30.
Step-by-step explanation:Correct me if I am incorrect but I would believe I am correct. Have a good one!
✍(◔◡◔)A truck weighed 900 lbs. After
unloading 24 and 1/8 lbs. of trash how
much does the truck weigh?
actice Temperature Conversion Worksheet
Name: ________________________ Period: ______
6th Grade Comprehensive Science II
Directions: Use the following chart to answer the questions below
C = (F - 32) * (5/9)
F = (9/5) * C + 32
Use the space to show your work:
1. 25°C = _____________°F
2. 97°C = _____________°F
3. 2°C = _____________°F
4. -40°C = _____________°F
5. 25°F = _____________°C
6. 97°F = _____________°C
7. 2°F = _____________°C
8. -40°F = _____________°C
9. 85°C = _____________°F
10. 953°C = _____________°F
pls help im giving 73 points
Help I don’t understand
Answer:
for every 4 strikes thrown, there were 1 balls thrown
0.45x10=
yuhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
i think it is 4.5
i hope it helps
Answer:
4.5
Hope I helped
Use the diagram to find the missing measures.
The measure of angle GHE is
62
°.
The length of GE is
.
Answer:
62
15
Step-by-step explanation:
sorry i’m a bit late
Answer:62
And 15
Step-by-step explanation:
Yea its good :)
Write the equation of the line, in slope intercept form, that goes through the points (6,4) and (-3,-5)
Answer:
y = x - 2
Step-by-step explanation:
Find the slope using rise over run
(y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-5 - 4) / (-3 - 6)
-9 / -9
= 1
Using y = mx + b, plug in the slope and a point to solve for b:
y = mx + b
4 = 1(6) + b
4 = 6 + b
-2 = b
Plug in the slope and b to y = mx + b
y = 1x - 2
y = x - 2
So, the equation of the line is y = x - 2
What is the slope formula? O A 3+ O B. 323 O a. kl 24 OD. 4
Answer:
B I'm pretty sure.
Step-by-step explanation:
A hard-boiled egg is removed from a pot of hot water and set on the table to cool. The rate of change of the egg’s temperature T with respect to time t is proportional to the difference between the egg’s temperature in degrees Fahrenheit ( °F) and the room temperature of 75°F. Which of the following is a differential equation that describes this relationship, where k is a constant?
Answer:
dT/dt = k(T-75)
Step-by-step explanation:
dT/dt = the rate of change of the egg's temperature T with respect to time t
k = constant
(T-75) = difference between the egg's temperature and the room temperature 75 degree
The relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).
From the Newton's law of cooling, the rate of cooling of any object depends on the temperature difference between the object and the surroundings. This is usually expressed in a differential equation.
In this particular instant, the differential equation that shows the relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).
Learn more about Newton's law of cooling:https://brainly.com/question/15574522
Yesterday the temperature was 11 degrees Celsius. Today the temperature is O degrees Celsius What is the change in temperature from yesterday to today?
Answer: 11 degrees Celsius
Step-by-step explanation:
If I have an 86% overall grade in a class and score 40% on a test, what will my grade come out as?
Answer:
It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.
Step-by-step explanation:
I NEED THIS TODAY PLEASE
To play a board game, a player
spins the pointer of a spinner with
four equal sections numbered 1-4,
and then flips a fair coin. Use a tree
diagram to represent the sample
space. What is the probability of
spinning either a 3 or a 4 AND flipping
a head?
Answer:
15%
Step-by-step explanation: maybe
Solve.
5(i + 2) - 9= 17-i
Answer:
5i+10-9=17-i
6i=16
I=16/6
I=8/3
HELP PLEASE!
The line y = 2x is drawn on the coordinate plane.
For the part of the line drawn between the origin and (-1, -2), what is the slope?
A. 1
B. 2
С. -2
D. -1
Mindy is playing a game. She notices that the ratio of red tokens to purple tokens is 2 to 3. She counts 6 red tokens. what can be the number of purple tokens.
Answer:
6
Step-by-step explanation:
double numbers for ecquivelant ratios (i cant spell)
¿375 es el 25% menos de que numero?
Answer:
hmm tratar 93.75
Step-by-step explanation:
cuanto es el 25 por ciento de descuento sobre 375? Asi, 25% de descuento en un item con un precio de estante de 375 es igual a $93.75.
espero que esto ayude
help me on this one more time for 60 points
Answer:
Your answer is X = 7
Step-by-step explanation:
which shape is not a trapezoid
Answer:
trapezium
If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid; it's something called a trapezium instead. Similarly, if the shape has two sets of parallel sides, it's not a trapezoid. It's either a rectangle, a parallelogram shape or a rhombus.
Step-by-step explanation:
2) Christmas is on its way, so the price of a box of Thornton's chocolates has been increased
by 15%!! A box of Thornton's Continental now costs £17.25. How much did it cost
originally?
Somebody help me with this?
Answer:
Zero's
Step-by-step explanation:
Bryce plays in 3 football games this month. He drinks 5 bottles of
water during each game. How many bottles of water does Bryce
drink this month?
Answer:
Its 15 because 3 times 5 = 15.
Step-by-step explanation:
Solve for x.
A = (5x+14)°
B = (3x +8)°
Answer:
x = 15
m∡A = 89°
m∡B = 53°
Step-by-step explanation:
this shape is a kite and opposite angles (where sides of different lengths meet) are congruent
so ∡B = ∡D
109 + 109 + 5x + 14 + 3x + 8 = 360
218 + 8x + 22 = 360
8x = 120
x = 15
m∡A = 5(15) + 14 = 89°
m∡C = 3(15) + 8 = 53°
This is the whole picture can someone help??
Step-by-step explanation:
I can't see good the picture