The zeroes of the polynomial are x=3, x=-5 and x=3/5
What are Zeroes of the polynomial?The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero . The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.
Given:
f(x)=5x³+7x²−81x+45.
let us take x= 3
5(27)+7(9)-81(3)+45
=135+63-243+45
= 243-243
=0
So, 3 is a root of polynomial and x-3 is factor of Polynomial.
Now, divide 5x³+7x²−81x+45 by x-3 we get 5x²+22x-15
Now, factorise 5x²+22x-15.
= 5x²+25x-3x-15
= 5x( x+ 5) - 3(x+ 5)
= (5x - 3)( x+ 5)
Then, x= 3/5 and 5
Hence, the zeroes of the polynomial are x=3, x=-5 and x=3/5
Learn more about Zeroes of the Polynomial here:
https://brainly.com/question/10702726
#SPJ1
Out of 150 coins, 90 are quarters. Of the remaining coins, 40% are
nickels and the rest are dimes and pennies. There are 5 dimes for
every penny. How many pennies are there?
A) 3
B) 4
C)6
D) 12
According to the concept of unitary method, the number of pennies are 6.
Unitary method:
The process of finding the value of a single unit, and based on this value is called as unitary method.
Given,
Out of 150 coins, 90 are quarters. Of the remaining coins, 40% are nickels and the rest are dimes and pennies. There are 5 dimes for every penny.
Here we need to find the number of pennies in the coins.
Here we know that the total number of coins are 150, thus includes
=> Quarters + nickels + dimes + pennies = 150
Here the number of Quarters are 90
Therefore, the remaining coins are calculated as,
=> 150 − 90 = 60
Here the percent of nickels is 40, then the number of nickels is
=> 60x 40/100
=> 24 numbers
Now, the remaining coins such as dimes and pennies are
=> 60 − 24 = 36 numbers.
Here we know that, in (5 + 1) = 6 coin of dimes and pennies there is 1 penny
So, in 36 coin of dimes and pennies there are,
=>36 / 6
=> 6
Therefore, there are 6 pennies.
To know more about unitary method here.
https://brainly.com/question/28276953
#SPJ1
giving brainiest to whoever can help me with all the questions! Explanations are highly appreciated.
A
C
A
D
B
You're welcome :)
Solve for b.
b - 14 = -10
A. b = -4
B. b = 4
C. b = -24
D. b = 24
The value of b after solution of the expression, b-14 = -10, is 4.
According to the question,
We have the following expression:
b-14 = -10
Now, we will first add 14 on both sides of the above equation:
b = -10+14
We know that when two integers are of different signs then the smaller number is subtracted from the larger number but the sign in the result is of the larger number.
So, in this case, 14 is larger than 10 then the result will be positive.
So, we have the following expression:
b = 4
Hence, the correct option is B.
To know more about value of b here
https://brainly.com/question/24186740
#SPJ1
a teacher gives a test with 15 questions that is worth 35 points It includes multiple choice questions worth 1 point each and short response questions worth 5 points each how many short responses and multiple choice questions are there
There are 10 multiple choice questions and 5 short response.
How to calculate the value?The following can be deduced:
The teacher gives a test with 15 questions that is worth 35 points.
Multiple choice questions = m = 1 point each
Short response questions = s = 5 points
The equation will be:
a + s = 15
a + 5s = 35
Subtract
4s = 20
Divide
s = 20/4
s = 5
Number of short response questions = 5
Number of multiple choice will be:
a + s = 15
a + 5 = 15
a = 15 - 5
a = 10
Multiple choice = 10
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Find the perimeter of the rectangle. length 7 inches and area 35 square inches.
pls help!!!
Step-by-step explanation:
Find the perimeter of the rectangle. length 7 inches and area 35 square inches.
P = 2W + 2L
A = LW
because you know that L = 7:
A = LW
35 = 7W
divide both sides by 7:
35/7 = 7W/7
W = 5
substitute into first equation:
P = 2W + 2L
P = 2(5) + 2(7)
P = 10 + 14
P = 24
the anwer is 5
35 divied by 7 is 5
7 times 5 is 35
In August Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8. how many short sleeve shirts were sold
The number of short sleeves that Maria sold is 819.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.
In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.
The number of short sleeves will be:
= Ratio for short sleeve / Total ratio × Total number of clothes
= 9 / (8 + 9) × 1547
= 9/17 × 1547
= 819
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
a grocer wants to mix kenyan beans that sell for $8.25 per pound with venezuelan beans that sell for $9.50 per pound to form a 50 pound batch of beans that sells for $9.00 per pound. how many pounds of kenyan beans should go
into the blend?
Grocer will mix 20 pounds of the kenyan beans $8.25per/lb one and another 30 pounds of the venezuelan beans $9.50per/lb one.
Let's x be the kenyan beans that sell for $8.25 per pound and y be venezuelan beans that sell for $9.50 per pound.
Altogether there are 50 pounds of beans.
The algebraic equation would be x + y = 18.
At $9.00 per pound, he will make 50 * $9.00 = $ 450.0
So, how many of the x and y kinds of coffee should he use to make the $9.00 per pound mixture which will net him $450.0.
The algebraic equation would be 8.25x + 9.50y = 450
We now have two equations
x + y = 50 --(i)
8.25x + 9.50y = 450 --(ii)
Substituting x= 50 - y in the second equation gives us
8.25(50-y) + 9.50y = 450
412.5 - 8.25y + 9.50y = 450
1.25y = 450 - 412.5
1.25y = 37.5
y = 30
Substitute the value of y in equation(i)
x + y = 50
x = 50 - 30
x = 20
Hence, Grocer will mix 20 pounds of the kenyan beans $8.25per/lb one and another 30 pounds of the venezuelan beans $9.50per/lb one.
To know more about equations check the below link:
https://brainly.com/question/22688504
#SPJ1
est/386832371
wedderburn, christine
All your answers will automatically save as you proceed through the test.
a
According to Zillow, housing values are appreciating at a rate of 11.3% percent a year. Approximately how much will your $810,000
house be worth in 5 years if this rate of appreciation continues?
Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer.
$990,320.85
$1,383,441.63
38/40 answered
C $1,955,080.48
Answers are saved automatically
The worth in 5 years is $1,383,441.63. option B is the correct answer
From the question, we have
worth in 5 years = current value * ( 1 + rate) ^ 5
= 810,000*( 1 + 11.3/100) ^ 5
= 810,000*( 1.113) ^ 5
=$1,383,441.63
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ1
Clara earns either minimum wage or commission, whichever pay is greater each week . Minimum wage is 15 h. Clara's commission is 5 % of sales. During one week , Clara works 25 h and sells $5800 worth of merchandise
Calculate Clara's pay based on commission:
Clara's pay based on commission is $290.
Given:
Minimum wage is 15 h. Clara's commission is 5 % of sales. During one week ,Clara works 25 h and sells $5800 worth of merchandise.
commission = 5%
Clara's pay = 5800*5%
= 5800*5/100
= 58*5
= $290.
Therefore Clara's pay based on commission is $290.
Learn more about the commission here:
https://brainly.com/question/20987196
#SPJ1
The mean age of 12 women in an office is 22 years old.
The mean age of 3 men in an office is 24 years old.
What is the mean age (nearest year) of all the people in the office?
The mean age (nearest year) of all the people in the office is 22.4.
How to find the mean age?Age for women
Age = 12 women × 22 years old / 12
Age = 264 /12
Age = 22
Age for men
Age = 3 men × 24 years old / 3
Age = 72/3
Age = 24
Now let find the mean age
Mean age = Sum of men and women age / Number of men and women
Mean age = 264 + 72 / 12 +3
Mean age = 336 /15
Mean age = 22.4
Therefore the mean age is 22.4.
Learn more about mean age here: https://brainly.com/question/21903586
#SPJ1
What is the value of 10a - 4b when a = 3 and b = 6?
A rectangle is made up of green and red tiles. The ratio of green tiles to red tiles is 3 : 4. Which of the following could be the number of green tiles in the rectangle?
The possible number of green tiles in the rectangle can be found to be H. 24.
How to find the number?The number of green tiles and red tiles in the rectangle will need to be expressed as whole number alone.
This means that because the ratio of the green tiles to the red tiles is 3 : 4, number of green tiles should be divisible by 3.
The numbers given are:
= 10 / 3
= 3.33
16:
= 16 / 3
= 5.33
24:
= 24 / 3
= 8
Because 24 is divisible by 3, there must be 24 green tiles in the rectangle.
Find out more on tiles at https://brainly.com/question/28729844
#SPJ1
IXL Please Help Fast!
The skew lines in the prism shown, considering their definition, are given as follows:
QT and WX.
What is the definition of skew lines?Skew lines are pairs of lines that share these two features:
The two lines are not parallel.The two lines are not intersecting.Hence, for each option in this problem, we have that:
QT and UX are not skew lines, as they are parallel lines.QU and UV are not skew lines, as they intersect at the vertex U.QT and WX are skew lines, as they are neither parallel nor intersecting.VW and WX are not skew lines, as they intersect at the vertex W.Hence there is only one pair of skew lines, given by lines QT and WX, thus only the third option should be marked.
More can be learned about skew lines at brainly.com/question/2603508
#SPJ1
Find the measure of the numbered angle.
Answer:
1- 50
2- 130
3- 50
4- 130
5- 40
6- 140
7- 90
8- 140
Step-by-step explanation:
Answer:
m∠1 = 50°
Step-by-step explanation:
From inspection of the given diagram we can see that angle 1, angle 40° and a right angle are the interior angles of a right triangle.
As the interior angles of a triangle sum to 180°:
⇒ m∠1 + 40° + 90° = 180°
⇒ m∠1 + 130° = 180°
⇒ m∠1 + 130° - 130° = 180° - 130°
⇒ m∠1 = 50°
Therefore, the measure of angle 1 is 50°.
Adriana just won $500 000 in a lottery. She plans to invest the money in an
account from which regular withdrawals can be made every month for 25 years.
How much is each withdrawal if the interest rate is 5% per year, compounded
monthly?
a. $2549.31 c. $11 079.06
b. $2922.95 d. $5539.53
$5539.53 is each withdrawal if the interest rate is 5% per year, compounded monthly.
What is compounded interest?
Compound interest is the interest earned on savings that are calculated on both the initial principal and the interest earned in previous periods.
We have,
Initial amount - le 5,00,000
Interest = l = 5/100 = 0.05/12 = 0.004167
Time period T = 25 x 12 = 300
[tex]A = P(1 + r)^t[/tex]
where A = total balance after t years,
P = principal amount (the amount invested),
r = interest rate (decimal form), and
t = time in years.
How much money will Jack have after 25 years?
[tex]A = 5,00,000 (1+ 0.05)^{25}[/tex]
A = 1661859
A / 300 = 5643
Therefore, $5539.53 is each withdrawal if the interest rate is 5% per year, compounded monthly.
To learn more about the compounded interest visit,
https://brainly.com/question/24924853
#SPJ1
Evaluate the expression when m = -7. m2+4m−4
If our equation is as follows;
[tex]f(m)=m^2+4m-4[/tex]We are given an initial condition. We replace the unknown by [tex]-7[/tex] to get the result.
[tex]f(-7)=(-7)^2+4(-7)-4[/tex][tex]f(-7)=49-28-4[/tex][tex]f(-7)=17[/tex]WRITE AS A SIMPLE LOGARITHM.. 2logx-3log(x+2)+3logy
Answer:
log(x^2 y^3/(x+2)^3)
Step-by-step explanation:
If a basketball player made an annual salary of $6.3m
How much would the player earn in 1 day?
$17,260.27
Divide 6.3 million dollars by 365 to show how much the basketball players earns in a day
In a local election between candidates A and B, candidate B got 48 votes, which is 120% as many votes as candidate A. If p represents the number of votes won by candidate A, then which proportion can be used to find p? A. B. C. D.
Answer:
canadate A =4 votes
Step-by-step explanation:
Answer:
A. 125/100 = p/35
Step-by-step explanation:
" I hope it helps : - ) "
Select the correct text in the passage.
Which sentence best describes how money functions as a "store of value"?
You can exchange money for goods and services. It adds to your purchasing power. It assigns value to goods and services. Its value appears in the books of
accounts.
Answer: It adds to your purchasing power.
Answer: It adds to your purchasing power
Step-by-step explanation:
Edmentum it's right.
Draw the graph that will show the relationship between indoor plants sold and the profit.
Plants (x)
12
13
14
15
16
17
Profit (y)
600
900
1,200
1,500
1800
2100
Answer:
4y
Step-by-step explanation:
the graph is that also 02929393 i needed points
Magan went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 350 mg of sodium and each frozen dinner has 650 mg of sodium. Magan purchased a total of 11 cans of soup and frozen dinners which collectively contain 4750 mg of sodium. Determine the number of cans of soup purchased and the number of frozen dinners purchased.
Magan bought 8 cans of soup and 3 cans of frozen dinners.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let x represent the number of cans of soup purchased and y the number of frozen dinners purchased.
Magan purchased a total of 11 cans of soup and frozen dinners.
As per the given information, we can write the equations would be as
x + y = 11 ....(i)
Also:
350x + 650y = 4750
7x +13y =95 ....(ii)
Solving equations (i) and (ii) simultaneously gives the values are:
x = 8, and y = 3
Thus, Magan bought 8 cans of soup and 3 cans of frozen dinners.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ ? I only have an hour pls help.
The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B
What are congruent triangles?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
examples of these rules are
Angle - Side - Angle = ASASide - Side - Side = SSSSide - Angle - Side = SASAngle - Angle - Side = AASHypotenuse and one leg = HLThe problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent
The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal
Learn more about congruent triangles here:
https://brainly.com/question/29393764
#SPJ1
Find the slope, of m of the line that passed through the points (-2/3, 3/4) and (5/6, -1/2). Enter your answer as a fraction in simplest form in the box
m = (-1/2 - 3/4) / (5/6 - (-2/3))
= (-2/4 - 3/4) / (5/6 + 4/6)
= (-5/4) / (9/6)
times 24 on top and bottom,
= -30/36
= -5/6
The quadrilateral below is a parallelogram. Solve for x.
Answer:
x = 16 units
Step-by-step explanation:
supplementary angles = 180°
so
3x + 5 + 9x - 17 = 180
12x - 12 = 180
12x = 180 + 12
12x = 192
x = 192 : 12
x = 16 units
--------------------------------
check
3 * 16 + 5 + 9 * 16 - 17 = 180
180 = 180
the answer is good
Chase is filing as a single individual for the year 2018 and has a total taxable income of $91,630. If he is in the 24% tax bracket, where the federal income tax owed is $14,089.50 plus 24% of every dollar above $82,500, how much does Chase owe in federal income taxes for 2018? Round your answer to the nearest cent. Do NOT round until you calculate the final answer.
In the year 2018, the amount that Chase owes in federal income taxes is $16, 280.70
How to find the federal income taxes?In 2018, Chase earned $91, 630 which put him in the 24% tax bracket. Here, his tax is $14,089.50 plus 24% of every dollar above $82,500.
The amount that Chase made above $82, 500 is:
= 91, 630 - 82, 500
= $9, 130
The federal income tax that Chase owes is therefore:
= 14, 089.50 + (9, 130 x 24%)
= 14, 089.50 + $2, 191. 20
= $16, 280.70
Find out more on federal income taxes at https://brainly.com/question/3564041
#SPJ1
Answer: $16,280.70
Step-by-step explanation:
First, find the difference between $91,630 and $82,500 to find the amount that is taxed at the 24% tax rate.
$91,630−$82,500=$9,130
Now, multiply $9,130 by 24% to find the additional amount of tax.
$9,130⋅24%=$2,191.20
Add $2,191.20 to $14,089.50 to find the total amount of federal income taxes Chase owes.
$2,191.20+$14,089.50=$16,280.70
Therefore, Chase owes $16,280.70 in federal income taxes for 2018.
someone help tyyyyy its due soon
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of -2
The Z-score of a value is the count of the number of standard deviations between the value and the mean of the set. Hence, the height of a man with a z-score is [tex]25.35inches[/tex]
What is z-sore ?
The z-score of a value is the count of the number of standard deviations between the value and the mean of the set. You can find it by subtracting the value from the mean and dividing the result by the standard deviation.
Here given that,
mean=[tex]69.0 inches[/tex]
standard deviation=[tex]2.8 inches[/tex]
[tex]x=-2[/tex]
The general formula of the z-score is
[tex]z=\frac{x-mean}{standard deviation}[/tex] .......[tex](1)[/tex]
Now, putting the values in the equation [tex](1)[/tex], we get
[tex]z=\frac{-2-69.0}{2.8}\\z=\frac{71}{2.8}\\z=25.35inches[/tex]
Hence, the height of a man with a z-score is [tex]25.35inches[/tex]
To know more about z-score
https://brainly.com/question/15016913
#SPJ1
Assume that females have pulse rates that are normally distributed with a mean of =76.0 beats per minute and a standard deviation of o=12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 83 beats per minute.
The probability is
The required probability for 1 adult female is randomly selected, find the probability that her pulse rate is less than 83 beats per minute is 0.5948.
In statistics, what does a probability mean?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes.Statistics is the study of events that follow a probability distribution.Let, X= The female have pulse rate
μ = 7.60 bpm , σ² = 12.5²
a) We find
P[ 1 adult female is randomly selected, her pulse rate is less than 79 bpm]
= P [ X < 79]
= P [ X - μ/ σ < 79 - μ/ σ ]
= P[ X - 76/12.5 < 79 - 76/ 12.5 ]
= P[Z < 0.24]
= 0.5948 (From standard normal cumulative probability table)
Hence, the required probability of 1 adult female is randomly selected, find the probability that her pulse rate is less than 83 beats per minute.is 0.5948.
To know more about Probability click the below link:
https://brainly.com/question/25870256
#SPJ1
Name an angle vertical to LEGH.
Answer:
IGF
Step-by-step explanation:
the two angles have the same vertex and lie on the same lines