probably very easy but i do need some help asap
my calculations are not giving me the answer i'm supposed to receive which is
9y^3(3-y)
Answers
Answer:
\(\sf 9y^3(3-y)\)
Step by step explanation:
\(\sf 27y^3-9y^4\)
Factor out common term 9 :
\(\sf \implies 9(3y^3-y^4)\)
Apply exponent rule \(\sf a^{bc}=a^{b+c}=a^ba^c\) :
\(\sf \implies 9(3y^3-y^{1+3})\)
\(\sf \implies 9(3y^3-y^1y^3)\)
Factor out common term \(\sf y^3\):
\(\sf \implies 9y^3(3-y^1)\)
Apply exponent rule \(\sf a^1=a\) :
\(\sf \implies 9y^3(3-y)\)
Related Questions
What will the y-coordinate/value be for A' (A
prime) if Triangle ABC is reflected about the y-
axis?
Answers
what are the coordinates if you tell me that I can help you
I need help on this question please
Answers
Answer:
dont mind me im just getting my points back
Step-by-step explanation:
What is the value is equivalent to 5 + 4 × 2?
Answers
\(5 + 4 \times 2 \\ 5 + 8 \\ = 13\)
We solved it using the rule:
BODMAS
B is for Brackets O is for OrderD is for DivisionM is for MultiplicationA is for AdditionS is for SubtractionAnswer:
\(\displaystyle 13\)
Step-by-step explanation:
\(\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 5 + 4 \times 2 \hookrightarrow \\ \\ \boxed{13} = 5 + 8\)
By using GEMS, the result is thirteen.
I am joyous to assist you at any time.
Add a term to the expression so tha it becomes a perfect square trinomial. Y^2-13y+
Answers
The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²
What is meant by a perfect square trinomial?
By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.
A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.
Given expression y² - 13y + ?
Comparing with the general equation
a = 1
b = -13
For perfect square trinomial
b² = 4ac
(-13)² = 4 * 1 * c
169 = 4c
c = 169/4
So the expression becomes,
y² - 13y + 169/4 = (y - 13/2)²
Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.
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Is the data set approximately periodic?
If so, what are its period and amplitude?
Hour
Number of cars
1 2 3
4
5
6
7 8 9 10 11 12
52 76 90 75 91 104 89 105 119 103 121 135
Answers
The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.
How to explain the valueThe period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.
Hour | Number of cars
------- | --------
1 | 90
2 | 52
3 | 76
4 | 75
5 | 91
6 | 104
7 | 89
8 | 105
9 | 119
10 | 103
11 | 121
12 | 135
As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.
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Find the distance between the points (4.5,-1.5), (4.5,7.25)
The distance is ____.
Answers
Answer:
8.75
Step-by-step explanation:
using the midpoint approach calculate the percentage change in price for laundry detergent that decreases from 4.10 to 3.50 as a result quantity demandd increases from 210 to 230
Answers
The percentage change in the price is 15.78% decrease.
What is the percentage?
A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. Per 100 is what the term percent signifies. The sign "%" represents it.
Here are some percentage examples:
10% is 1/10 of a fraction.20% is equal to a 1/5 portion.25% is equal to 1/4 fractions.Now,
Initial price=4.1
Final price=3.5
Change=3.5-4.1= -0.6 , minus means decrease in price
final value + initial value=7.6
then
percentage change by midpoint approach = (final value-initial value) / ((final value + initial value)/2) *100
=0.6/3.8*100
=0.1578*100
=15.78%
hence,
The percentage change in the price is 15.78% decrease.
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What is the area of the shaded sector?
Answers
Answer:
24 pi
Step-by-step explanation:
A= n/360(pi r^2)
A= 135/360(pi)(8^2)
A=135/360(64)(pi)
A= 24 pi
OMG PLEASE I BEG I NEED HELP 5th grade math
Answers
Answer: A
Step-by-step explanation:
Volume= LxWxH so we get 20x28x24 as given.
Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.
13,440-10,500= 2,940 Cubic Inches
Option A
Answer:
Part A: 13440 cubic inches.
Part B: A - 2940 cubic inches.
Step-by-step explanation:
The volume of the box = 24x20x28 = 13440 cubic inches.
The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.
13440-10500 = 2940 cubic inches. The answer is A.
VI. In a class of 40 students, the marks obtained in Mathematics (out of 50) are as under: 44,50,44,49,42,47,45,42,44,48,49,48,47 49,47,41,45,48,41,48,41,42,47,49,49,48, 50.47.49.48.46.44.45.45.46.44.42.47.48.45 ow answer the following questions: a) b) c) d) e) Find the number of students getting more than 45 marks. Find the number of students getting less than 45 marks. Find the maximum number of students getting the same marks. Find the average marks obtained by the students in the class. Find the number of students getting more than average marks.
Answers
a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.
In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.
Counting these numbers, we find that there are 17 students who obtained more than 45 marks.
b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.
In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.
Counting these numbers, we find that there are 15 students who obtained less than 45 marks.
c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.
In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.
Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.
d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.
Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45
= 1912
Total number of students = 40
Average marks = Total marks / Total number of students
= 1912 / 40
= 47.8
Therefore, the average marks obtained by the students in the class is 47.8.
e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.
In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,
49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.
Counting these numbers, we find that there are 40 students who obtained more than the average marks.
Jamal is comparing his transportation options for an upcoming trip. He’s considering a rental car and a taxi service. Based on his planned routes during his trip, he expects a taxi service would cost about $128. Jamal could also get a rental car for a daily rate and unlimited miles. If Jamal’s trip will last 4 days and he expects to pay about $24 for gas, which graph shows the range of car rental rates that would be cheaper than the taxi service?
Answers
Answer:
Graph A
Step-by-step explanation:
Say that the car rental rate stands for c dollars ( $ ). We know that Jamal's trip lasts for 4 days, paying $ 24 in expenses for gas, and $ 128 for taxi services. Based on these requirements for his trip the question asks for a graph that models this situation, but lets start with the inequality.
______
The big key here is the part " which graph shows the range of car rental rates that would be cheaper than the taxi service. " Our inequality must thus have the variable " c " on the same side as the payment for gas ($ 24 ), and must be less than the taxi service ( $ 128 ), or in other words a less than sign. Another point is the car rental rate. We know it stands for c, but it is dependent on the number of days. Hence we can conclude the following inequality,
24 + 4c < 128 - Subtract 24 from either side,
4c < 104 - Divide by 4 on either side, isolating c,
c < 26
The range of car rental rates that would be cheaper than the taxi service should be { c | 0 ≤ c < 26 }, knowing variable c stands for the car rental rates.
______
The graph that models this range should be the first one, option A. This graph is not accurate however, as it extends infinitely in the negative direction, and you can't have negative money, or rather be in debt - in this situation.
Answer:
A is the answer
Step-by-step explanation:
Solve the following system of equations using an inverse matrix. You must alsoindicate the inverse matrix, A-1, that was used to solve the system. You mayoptionally write the inverse matrix with a scalar coefficient.X-9y = -4- 3+7y = 579A-112y =1
Answers
The given system of equations is,
\(\begin{gathered} x-9y=-4 \\ -x+7y=5 \end{gathered}\)A system of equations can be defined as,
\(AX=B\text{ ------(1)}\)Here, A is the ceofficient matrix, X is the variable matrix and B is the constant matrix.
Coefficient matrix gives the coefficients of the variables in the system of equations. Hence,
\(A=\begin{bmatrix}{1} & {-9} & {} \\ {-1} & {7} & {} \\ {} & {} & {}\end{bmatrix}\)Hence, equation (1) can be written as,
\(\begin{bmatrix}{1} & {-9} & {} \\ {-1} & {7} & {} \\ {} & {} & {}\end{bmatrix}\begin{bmatrix}{x} & {} & {} \\ {y} & {} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{-4} & & {} \\ {5} & & {} \\ {} & {} & {}\end{bmatrix}\text{ -------(2)}\)If a 2x2 matrix A is given by,
\(A=\begin{bmatrix}{a} & {b} & {} \\ {c} & {d} & \\ {} & {} & {}\end{bmatrix}\)Then, adj A is, Hence, the adjoint of the given matrix A is,
\(adjA=\begin{bmatrix}{d} & {-b} & {} \\ {-c} & {a} & \\ {} & {} & {}\end{bmatrix}\)The determinat of A is,
\(|A|=ad-bc\)Hence, the inverse of the given matrix A is,
\(\begin{gathered} A^{-1}=\frac{1}{|A|}adj\text{ A} \\ =\frac{1}{7\times1-(-9\times(-1))}\begin{bmatrix}{7} & {9} & {} \\ {1} & {1} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{7-9}\begin{bmatrix}{7} & {9} & {} \\ {1} & {1} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{-2}\begin{bmatrix}{7} & {9} & {} \\ {1} & {1} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}\)
Now, multiply equation (1) by inverse of A to solve for the variable matrix.
\(\begin{gathered} A^{-1}AX=A^{-1}B \\ IX=A^{-1}B \\ \begin{bmatrix}{1} & {0} & {} \\ {0} & {1} & {} \\ {} & {} & {}\end{bmatrix}\begin{bmatrix}{x} & {} & {} \\ {y} & {} & {} \\ {} & {} & {}\end{bmatrix}=\frac{1}{-2}\begin{bmatrix}{7} & {9} & {} \\ {1} & {1} & {} \\ {} & {} & {}\end{bmatrix}\begin{bmatrix}{-4} & & {} \\ {5} & & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{x} & {} & {} \\ {y} & {} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{\frac{-7}{2}} & {\frac{-9}{2}} & {} \\ {\frac{-1}{2}} & {\frac{-1}{2}} & {} \\ {} & {} & {}\end{bmatrix}\begin{bmatrix}{-4} & & {} \\ {5} & & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{x} & {} & {} \\ {y} & {} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{\frac{-7}{2}\times(-4)+(\frac{-9}{2}\times5)} & & {} \\ {\frac{-1}{2}\times(-4)+(\frac{-1}{2}\times5} & {} & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{x} & & {} \\ {y} & & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{14-\frac{45}{2}} & & {} \\ {2-\frac{5}{2}} & & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{x} & {} & {} \\ {y} & {} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{\frac{-17}{2}} & & {} \\ {\frac{-1}{2}} & & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}\)Here, I is identity matrix.
Therefore, the inverse of matrix A is,
\(A^{-1}=\frac{-1}{2}\begin{bmatrix}{7} & {9} & {} \\ {1} & {1} & {} \\ {} & {} & {}\end{bmatrix}\)x=-17/2 and y=-1/2.
At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answers
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
6. Is the bi-conditional below true or false? Defend your answer. Be sure to address both the
conditional and the converse. Hint: Refer back to your answers to questions 2-5.
I have an 85% if and only if I get a B.
Someone also, please help me!!!!!!!!!!!
Answers
Answer:
Conditional: If I have an 85%, then I get a B. True
Converse: If I get a B, then I have an 85%. False; 84% is also a B
So the biconditional statement is false because only the condtional is true.
Fill in the missing values below one at a time to find the quotient when x^3 - x^2 - 3x + 2 is divided by x - 2.
Answers
Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.
To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:
Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²
Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.
Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.
Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.
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How does -2x + x equal -x ?
Answers
Answer:
See below.
Step-by-step explanation:
\(-2x+x=-x\)
because we combine like terms. You will essentially ignore the x and just do -2 + 1, which is -1. So, the answer would be -1x which is simply just -x.
To see why we can combine like terms, use the distributive property. So we have:
\(-2x+x\)
This is the same thing as saying:
\(=(-2)x+(1)x\)
Factor out the x:
\(=x(-2+1)\)
Add:
\(=x(-1)\)
And simplify:
\(=-1x\\=-x\)
Answer:
Step-by-step explanation:
-2x + x could also be written as x - 2x, which is x(1 - 2), or -x. Here we can rearrange the terms as we wish (commutative property).
carlos borrowed 26,000 for 5 years at an APR 5.25% what will his monthly payment be?
Answers
Answer:
$568.75.
Step-by-step explanation:
People drive, on average, 11,979 miles per year. About how many miles each week is that?
(Type a whole number or decimal rounded to the nearest tenth as needed)
Answers
Answer:
230.4
Step-by-step explanation:
11,979 divided by 52 is 230.365384615.
230.365384615 Rounded gets the answer
find the area
steps, please
Answers
Answer:
45) 35.75 sq km
46) 24.5 sq km
Step-by-step explanation:
Area of Square:
A= \(\frac{(base)(height)}{2}\)
45) A = (11)(6.5) ÷ 2 =
46) A = (10)(4.9) ÷ 2 =
Answer:
45) \(35.75\) \(km^2\)
46) \(24.5\) \(km^2\)
Step-by-step explanation:
------------------------------
The formula to find the area of a triangle is \(A=\frac{1}{2}bh\) where \(b\) stands for the base and \(h\) stands for the height.
So, let's solve and find out the answer.
--------------->>>>
45)
\(A=\frac{1}{2}(11)(6.5)\)
\(A=\frac{1}{2}(71.5)\)
\(A=35.75\)
The area of this triangle is \(35.75\) \(km^2\)
--------------->>>>
46)
\(A=\frac{1}{2} (10)(4.9)\)
\(A=\frac{1}{2} (49)\)
\(A=24.5\)
The area of this triangle is \(24.5\) \(km^2\)
------------------------------
Hope this is helpful
help me out with this question please...this is a practice question
Answers
Answer:
hope this helped, can i have brainliest please? :))
Step-by-step explanation:
mean - 6.5 mean=average, to find the average, you add up all of the number then divide by the quantity of numbers there are.
median - 6 and 7 so 6.5 median= number in the middle
5) if the 4 digit number 7,2d2 is divisible by 6, then what is the largest possible value of digit d?
Answers
Its even so no problem for 2
For 3 the sum of the digits should be divisible to 3 then u can put 1,4,7 and 7 is the largest
pls help i will give brainliest etc
Answers
Answer:
Quotient = 58.5
Step-by-step explanation:
Long division is a method used to divide large numbers by breaking the division down into multiple steps.
Parts of long division:
The dividend is the number that is divided by the divisor.The divisor is the number that divides the dividend. The quotient is the result obtained by the division.The remainder is the number left over.The divisor is placed to the left of the parenthesis.
The dividend is placed to the right of the parenthesis.
The quotient is placed above the dividend and separated from it by a bar.
To finish the given long division, subtract 64 from 68:
⇒ 68 - 64 = 4
Now divide the result by the divisor:
⇒ 4 ÷ 8 = 0.5
Finally, add 0.5 to 58 to give the final quotient:
⇒ 58 + 0.5 = 58.5
\(\large \begin{array}{r}58.5\\8{\overline{\smash{\big)}\,468\phantom{))}}}\\{-~\phantom{(}\underline{40\phantom{))..}}\\68\phantom{))}\\-~\phantom{()}\underline{\phantom{)}64\phantom{))}}\\4\phantom{))}\\-~\phantom{()}\underline{\phantom{)}\phantom{)}4\phantom{))}}\\0 \phantom{))}\\\end{array}\)
Therefore, from inspection of the given long division:
The dividend is 468.The divisor is 8.The quotient is 58.5.write the fraction forms of 20% 40% and 60% and 80% in simplest forms
Answers
Answer:
1\5,2/5,3/5,4/5 hope this helps.
Step-by-step explanation:
pls mark as brainliest.
Please answer this correctly
Answers
Answer:
56 because 5 times 40 is 20 and the total of the rectangular prism is 76
Graph the linear inequality.
x + 2y ≥ - 6
Answers
Answer:
I used Desmos Graphing Calculator
Step-by-step explanation:
hi my question is what is 72x13
Answers
Answer:
936
7 2
× 1 3
2
2 1 6
7 2 0
9 3 6
Brainleist?
A manufacturer has two options for making cube-shaped boxes. The cost is calculated by multiplying the surface area of the box by the cost per square inch of the cardboard. Answer parts a through c below.
Answers
The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.
Describe Quadratic functions?A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.
The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).
Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.
Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.
a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:
f(x) = 0.005(6x²) = 0.03x²
b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:
g(x) = 0.004(6x²) = 0.024x²
Therefore, the quadratic functions are:
f(x) = 0.03x² for Design A
g(x) = 0.024x² for Design B
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The complete question is:
find the product 278.11x25=
Answers
Answer:
6952.75
Step-by-step explanation:
278.11 x 25 =
6952.75
Hope that helps!
Answer:
278.11 x 25 = 6,952.75
Step-by-step explanation:
Multiply
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
Answers
419 + x = 580
x = 161
She must get at least 161 to have an average of 161
Evaluate the expression when
x = 32 and y = 2.
x / 4x
A) 1/16
B) 16/21
C) 2
D) 4
PLEASE HELP FAST!!
Answers
Answer:
C
Step-by-step explanation:
32/4 (4)
32/16 = 2
Therefore, the answer is C, 2.
I hope this helps! Please mark me brainliest if you can!