Answers
The value of given Polynomial 25y³ - 36y = 0 is 0, 6/5, -6/5.
What is Polynomial?A polynomial is a type of expression. An expression is a mathematical statement without an equal-to sign (=).
Here, given polynomial
25y³ - 36y = 0
y(25y² - 36) = 0
y { (5y)² - (6)²} = 0
y {(5y-6)(5y+6)} = 0
so, y = 0, or 5y-6 = 0 or 5y+6 = 0
y = 0, or y = 6/5 or y = -6/5
Thus, the value of given Polynomial 25y³ - 36y = 0 is 0, 6/5, -6/5.
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The solution to 25y³ - 36y = 0 are y = 0, y = 6/5 and y =-6/5
How to solve the polynomial?The polynomial is given as:
25y³ - 36y = 0
Factor out y in the above equation
y(25y² - 36) = 0
Split
y = 0 or 25y² - 36 = 0
Solving 25y² - 36 = 0, we have:
25y² - 36 = 0
Express 36 as 6² and 25 as 5²
(5y)² - 6² = 0
Apply the difference of two squares
(5y - 6)(5y + 6) = 0
Split
5y - 6 = 0 or 5y + 6 = 0
Solve for y
y = 6/5 or y = -6/5
Recall that:
y = 0
Hence, the solution to 25y³ - 36y = 0 are y = 0, y = 6/5 and y =-6/5
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Related Questions
1. Find selling price in the following cases.
a) Market price = Rs 480,discount = Rs 40
b) Market price = Rs 870, discount = Rs 75.
2. Find cost price or selling price in the following cases.
a) cost price = Rs 120, profit = Rs 25
b) selling price = Rs 200, profit = Rs 20
Answers
Answer:
1) a. Rs 440.
1) b. Rs 795.
2) a.Rs 145.
2) b. Rs 180.
Step-by-step explanation:
1) a.
Given,
Marked Price = Rs 480
Discount Amount = Rs 40
Selling Price = ?
Now,
Selling Price = Marked Price - Discount Amount
= Rs 480 - Rs 40 = Rs 440.
1) b.
Given,
Marked Price = Rs 870
Discount Amount = Rs 75
Selling Price = ?
Now,
Selling Price = Marked Price - Discount Amount
= Rs 870 - Rs 75 = Rs 795.
2) a.
Given,
Cost Price = Rs 120
Profit = 25
Selling Price = ?
Now,
Selling Price = Cost Price + Profit
= Rs 120 + Rs 25 = Rs 145.
2) b.
Given,
Selling Price = Rs 200
Profit = Rs 20
Cost Price = ?
Now,
Cost Price = Selling price - Profit
= Rs 200 - Rs 20 = Rs 180.
Lelani is making playdoh.The recipe she calls for 1 cup of flur,1 cup of water , 2 tsp of cream of tartar,1 /3 cup of salf, and 1 tbsp vegetable oil. Lelani accidentally put 1 /4 cup of vegetable oil in her mix instead of 1 tbsp.
There are 16 tbsp in 1 cup. How many tablespoons of oil did Leilani put in her mix?
1/64 is the answer
---------------------------------------------------------------------
A) What is the ratio of oil to flour in the original recipe
B)how much flour should Leilani add to her mix to match the recipe again
C)If Lelani wants to make her mixture match the recipe , what else should she add to her mixture?
Answers
During a dry spell, the water level of a pool dropped inches The owner added 3 inches of water with a hose. Which expression shows one way to calculate the total change in water level of the pool over this time?
Answers
Answer:
you can subtract the number of inches off the first pool water amount then you can add the 3 inches of water added with the hose.
Step-by-step explanation:
Answer:
the answer is (D.) i hope this helps!
Step-by-step explanation:
Thank u work answer and I need it step by step
Answers
Answer:
-45k+90
Step-by-step explanation:
Re-order terms so constants are on the left
(5k-10) · -9
-9(5k-10)
Distribute
-9(5k-10)
[-9 · 5k = -45k] Negative + Positive = Negative
[-9 · -10 = 90] Negative + Negative = Positive
-45k+90
Hence, -45k+90 is the Answer.
[RevyBreeze]
for a recipe Peter uses 2 cups of sugar for every 3 cups of flour which table shows equivalent ratios for this table.
Answers
Answer:
4 to 6
Step-by-step explanation:
Find the area of the isosceles trapezoid.
10 cm
9 cm
18 cm
OA.126 cm²
OB.91 cm²
OC. 252 cm²
OD. 63 cm2
Answers
Step-by-step explanation:
therefore, the correct option should be A.
Kindly solve the following with the cirrect method .SOLVE ALL . I'll give brainliest + thanks + follow
Answers
The following percentages are listed below:
12.5 %40 %6.25 %6.667 %41.667 %75 %How to use percentages in real life situationsIn this question we have seven cases of real life situations in which percentages are used. Mathematically speaking, percentages are represented by the following expression:
x = r / r' × 100 (1)
Where:
r - Real quantityr - Maximum quantityNow we proceed to determine quantities related to percentages:
2.8 mm as a per cent of 2.24 cm
x = (2.8 mm / 22.4 mm) × 100 %
x = 12.5 %
What per cent of 1.5 m is 60 cm?
x = (60 cm / 150 cm) × 100 %
x = 40 %
What per cent of 2 kg is 125 g?
x = (125 g / 2000 g) × 100
x = 6.25 %
What per cent of R 6 to 40 p?
x = (40 / 600) × 100
x = 6.667 %
What per cent of a day is 10 h?
x = (10 h / 24 h) × 100
x = 41.667 %
What per cent of 7 1 / 3 m in 5 1 / 2 m ?
x = [(11 / 2) / (22 / 3)] × 100 %
x = 75 %
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-7(5-3x)=-35 what is the x in the problem
Answers
Answer:
x = 0
Step-by-step explanation:
-7(5-3x)=-35
Divide by -7
-7/-7(5-3x)=-35/-7
5 -3x = 5
Subtract 5 from each side
5-3x-5 = 5-5
-3x=0
Divide by -3
x=0
Answer: x = 0
Step-by-step explanation: Start by distributing the -7 through the parenthses on the left side of the equation.
-7(5) is -35 and -7(-3x) is 21x.
So we have -35 + 21x = -35.
Next, isolate the x term by adding 35 to both sides.
When we do this, we get 21x = 0.
Now divide both sides by 21 and x = 0.
in a class of 20 students, 40% of them have a pet how many students have a pet
Answers
20 students represent 100% of the class, to find how many students are 40% of the class, we can use the next proportion:
\(\frac{20\text{ students}}{x\text{ students}}=\frac{100\text{ \%}}{40\text{ \%}}\)Solving for x,
\(\begin{gathered} 20\cdot40=100\cdot x \\ \frac{800}{100}=x \\ 8=x \end{gathered}\)8 students have a pet
Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither.
f(x) = x + 9 if x < 0
e^x if 0 ≤ x ≤ 1
4 − x if x > 1
x = (smaller value)
continuous from the right, or continuous from the left, or neither
x = (larger value)
continuous from the right, or continuous from the left, or neither
Answers
Using continuity concepts, the answers are given by:
The function is right-continuous at x = 0.The function is left-continuous at x = 1.------------------------------------
A function f(x) is continuous at x = a if:
\(\lim_{x \rightarrow a^{-}} f(x) = \lim_{x \rightarrow a^{+}} f(x) = f(a)\)
If \(\lim_{x \rightarrow a^{-}} f(x) = f(a)\), the function is left-continuous.If \(\lim_{x \rightarrow a^{+}} f(x) = f(a)\), the function is right-continuous.For the given function, the continuity is tested at the points in which the definitions are changed, x = 0 and x = 1.------------------------------------
At x = 0.
Approaching from the left, it is less than 0, thus:\(\lim_{x \rightarrow 0^-} f(x) = \lim_{x \rightarrow 0} x + 9 = 0 + 9 = 9\)
Approaching from the right, it is more than 0, thus:\(\lim_{x \rightarrow 0^+} f(x) = \lim_{x \rightarrow 0} e^x = e^0 = 1\)
The numeric value is:\(f(x) = e^0 = 1\)
Since \(\(\lim_{x \rightarrow 0^+} f(x) = f(0)\), the function is right-continuous at x = 0.------------------------------------
At x = 1.
\(\lim_{x \rightarrow 1^-} f(x) = \lim_{x \rightarrow 1} e^x = e^1 = e\)
\(\lim_{x \rightarrow 1^+} f(x) = \lim_{x \rightarrow 1} 4 - x = 4 - x = 3\)
\(f(1) = e^1 = e\)
Since \(\(\lim_{x \rightarrow 1^-} f(x) = f(1)\), the function is left-continuous at x = 0.A similar problem is given at https://brainly.com/question/21447009
The polygons are similar but not necessarily drawn to scale. What is the value of x?A. x = 7.5B. x = 17C. x = 21D. x = 25thank you ! :)
Answers
Given: Two similar polygon
To Determine: The value of x
Solution
Using similar shape ratio
\(\begin{gathered} \frac{x-4}{3.5}=\frac{12}{2} \\ \frac{x-4}{3.5}=6 \\ x-4=6\times3.5 \\ x-4=21 \\ x=21+4 \\ x=25 \end{gathered}\)Hence,
x= 25
Is the sequence arithmetic, geometric or neither? Then, find the next three terms. 0, 3, 6, 9, 12, ___, ___, ____. has to be a sentece
Answers
Answer:
Arithmetic progression
Next 3 terms are 15, 18 and 21.
Step-by-step explanation:
The sequence is an arithmetic progression (AP)
Looking at the first few terms of the sequence,
there is an addition of 3 from the current term to the next term.
(Value of addition of 3 is a constant)
Hence,
First blank: 12 + 3 = 15
Second blank: 15 + 3 = 18
Third blank: 18 + 3 = 21
Choose as many answers as apply.
According to the lesson, things you can do to help you decide on a bank include:
compare interest rates
determine which bank has the most attractive buildings
ask friends where they bank
visit two or three branch office
Answers
Some things you can do to help you decide on a bank include:
Ask friends where they bankVisit two or three branch officesCompare interest ratesWhy are these important?When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.
To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.
Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.
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f(x) = 4x3 + 7x2 – 2x – 1
g(x) = 4x – 2
Find (f - g)(x).
please help
Answers
9514 1404 393
Answer:
(f-g)(x) = 4x^3 +7x^2 -6x +1
Step-by-step explanation:
(f -g)(x) = f(x) -g(x)
= (4x^3 +7x^2 -2x -1) -(4x -2)
= 4x^3 +7x^2 +(-2-4)x +(-1+2)
(f -g)(x) = 4x^3 +7x^2 -6x +1
There are 450 students in my high school. 39 students are taking AP
statistics and 86 students are taking AP calculus. 12 students are
taking both AP statistics and AP calculus. If a student were to be
selected at random from the whole school, what is the probability of
the student chosen taking only AP statistics? Give your answer as a
decimal.
Answers
The probability that a student will be picked from a AP statistics class is 0.06
What is Probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 is certainty
Probability = sample space / total possible outcome
the total possible outcome is 450 students
the number of students that take AP statistics alone = 39- 12= 27students
therefore probability of choosing from AP statistics= 27/450= 0.06
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plss help me plsss!!
Answers
Answer:
20 unitsStep-by-step explanation:
The first part is already solved.
We got the scale factor
k = 4Use this to find the missing side:
MN = k*YZMN = 4*5 = 20Answer:
a. EXPLAINED IN THE PIC
b. 20
Step-by-step explanation:
*in the line 4, the number which I wrote, was 4*
A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
Answers
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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The sum of six and a number is equal to the number squared.
Answers
Imagine that x is a number, it could be any number. The sum of six and a number, it means, 6+x, is equal to the number squared, it means, x^2. This is:
\(6+x=x^2\)In the diagram of circle O shown to the right, PA and PB are tangent to circle O at points A and B, respectively. If mACB 266, then mAPB
Answers
Answer: 86 degrees
Step-by-step explanation:
Two friends each ate 1/2 of a pizza someone says they ate the same amount. Another says they ate different amounts
Answers
Answer:
Step-by-step explanation:
The pizza may look half in size but the half pieces may not equal in Weight.
Write an equation of the form y = mx for the line shown below.
Answers
Answer:
y = (5/3)x + 2/3
Step-by-step explanation:
find slope
rise/run
(4--1)/(2--1)
(5)/(3)
M = 5/3
then plug in a point to get the y-intercept
4 = (5/3) * 2 + b
4 = 10/3 + b
subtract 10/3 on both sides
2/3 = b
in y =mx +b the equation is
y = (5/3)x + 2/3
The First number in a pattern is 8. Each following number is found by subtracting 9 from the previous number.What is fifth number in this pattern?A. -45B. -40C. -37D. -28
Answers
We have a sequence of number, the first number is 8 and the subsequent numbers are found by subtracting 9 from the previous, so:
\(\begin{gathered} a_1=8 \\ a_2=a_1-9=8-9=-1 \\ a_3=a_2-9=-1-9=-10 \\ a_4=a_3-9=-10-9=-19 \\ a_5=a_4-9=-19-9=-28 \end{gathered}\)The fifth number in the pattern is -28
. Which of the following fractions are equivalent? A. 3 4 and 6 7 B. 2 3 and 12 13 C. 1 9 and 4 12 D. 1 6 and 3 18
Answers
Answer:
A-3/4 is the only equivalent fraction.
Step-by-step explanation:
The rest of the fractions that you have listed does not pull up as equivalent.
Could you go to my page and help me figure out how to work out my sheet for me? I need help ASAP! Someone has already tried to help me, but they did not make sense to part of my sheet and they have not yet responded. Would you be willing to help? I will mark you brainliest if correct, and give you +45 points! Thank you!
Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answers
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
FInd the value of x if L, M belongs to line KM
Answers
Answer:
k
Step-by-step explanation:
k=k
Answer: x = 38
Please solve correctly
Answers
Answer:
8,000 it 8,000 dude....
PLESE HELP ALGEBRA 1 QUESTION
Answers
Answer:
The answer is 4
Step-by-step explanation:
3(4)/4 =3
3 is less than 9
-(4/6)= -2/3
-2/3 is greater than -3
Find the slope of a line perpendicular to the line whose equation is x + 6y = -24.
Fully simplify your answer.
Answers
Answer:
\(m_{perpendicular}\) = 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + 6y = - 24 ( subtract x from both sides )
6y = - x - 24 ( divide through by 6 )
y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form
with slope m = - \(\frac{1}{6}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6
is 12 : 8 and 18 : 12 equivalent ratios?
Answers
Answer:
Yes.
Step-by-step explanation:
Because 12:8=12/8=3/2.
And 18:12=18/12=3/2.
24:16 and 6:4 could be though
A 13 km 13km13, start text, k, m, end text stretch of road needs repairs. Workers can repair 3 1 2 km 3 2 1 km3, start fraction, 1, divided by, 2, end fraction, start text, k, m, end text of road per week. How many weeks will it take to repair this stretch of road?
Answers
you can start by dividing the total length of the road by the distance that can be repaired per week:
13 km ÷ 3 1/2 km/week = 3.71 weeks
Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.