The leading term, the degree of the polynomial is −6x3 is 3rd degree and coefficient −6.
Option (C) is correct.
What is a polynomial ?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables .It is is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.
Given:
The given expression is
−6x3
We have to find the polynomial by degree and tell the leading coefficient.
According to given question we have
The leading term of a polynomial is the term with the highest degree.
The leading coefficient of a polynomial is the coefficient of the leading term.
The degree of a polynomial is the highest degree of its terms.
Hence, the leading term, the degree of the polynomial is −6x3 is 3rd degree and coefficient −6.
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Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Mariam's account has gone into overdraft. Her balance is $-20.21. To get back to a positive balance, she plans to deposit money at a steady rate of $20.79 per week. How much will be in her account after 4 weeks?
Using a linear function, it is found that $62.95 will be in her account after 4 weeks.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The initial balance is the intercept.The weekly deposit is the slope.Hence, her balance after x weeks is given by the following function:
B(x) = -20.21 + 20.79x.
Her balance after 4 weeks is given by:
B(4) = -20.21 + 20.79(4) = $62.95.
Hence $62.95 will be in her account after 4 weeks.
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Find the measure of the longest angle
The largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14) degrees.
According to the given question.
We have, the measure of the angles of a triangle are 105 degrees,
(6x +17) degrees, (5x + 14) degrees.
As we know that the sum of the angles of a triangle is always 180 degrees.
Therefore, we can say that
105 + (6x +17) + (5x + 14) = 180
⇒ 105 + 6x + 17 + 5x + 14 = 180
⇒ 136 + 11x = 180 (adding the like terms)
⇒ 11x = 180 -136
⇒ 11x = 44
⇒ x = 44/11
⇒ x = 4 degrees.
So, (6x +17) degrees = 6(4) + 17 = 24 + 17 = 41 degrees
and, (5x + 14) degrees = 5(4) + 14 = 20 + 14 = 34 degrees
Hence, the largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14) degrees.
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A librarian is sorting books. He has 15 crates that are each filled with 22 books. How many books does this librarian have to sort?
Answer:
330
Step-by-step explanation:
15 crates × 22 books each = 330 books
Therefore, the librarian has 330 books to sort.
Divide the amount of white sugar by the amount of brown sugar. What is the quotient? 3over 8 ,2over3,2, or 2and 2 3rds
By dividing the amount of white sugar by brown sugar we get, 2 2/3. The quotient is 2.
A fraction is a numerical quantity that is not a whole number. In other words, fraction can be defined as a small or tiny part, amount, or proportion of something.
A fraction represented with its quotient and remainder is a mixed fraction. In other words, a mixed fraction is a combination of a whole number and a proper fraction.
Amount of white sugar ÷ Amount of brown sugar
2/3 ÷ 1/4
2/3 × 4/1
8/3
2 2/3.
Here quotient is 2 and 2 is the remainder.
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h bvv bv
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets tired, each sit-up takes longer and longer to do.
Answer:
No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.
Step-by-step explanation:
When Anna starts, she does a sit-up every 22 seconds.
Which of the following is a true statement
A bag of marbles contains 3 red marbles, 5 blue marbles, and 2 yellow marbles. (Write your answer as a fraction, decimal, and a percent.) What is P(red)? What is P(blue)? What is P(yellow)? What is the most likely outcome when drawing a marble out of the bag? Explain. What is the least likely outcome when drawing a marble out of the bag? Explain.
Answer: 30% blue, 50%red, and 20%yellow
Step-by-step explanation:
What is another solution of the equation
x + y = 7?
Enter the correct answer.
The solution of the equation x + y = 7 is equal to (x, y) = (1, 6).
The given equation is of the form of linear equation in two variables. A linear equation in two variables is an equation of the form ax + by c = 0 where a, b and c are coefficients and x, and y are independent and dependent variables respectively.
Now, if we take the equation in the question x + y = 7 and assume (1, 6) as (x, y) then
x + y = 7
Putting (x, y) = (1, 6)
=> 1 + 6 = 7
=> 7 = 7
Thus, we see that L.H.S = R.H.S and thus (1, 6) is the solution of the equation x + y = 7.
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make b the subject of p=1/2ab^2+c
The variable b as the subject of the formula is b = √2(p -c)/a
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to make b the subject of the equation?The equation is given as
p = 1/2ab^2 + c
Subtract c from both sides of the equation
So, we have
1/2ab^2 = p - c
Multiply through by 2
ab^2 = 2(p -c)
Divide by a
b^2 = 2(p -c)/a
Take the square root of both sides
b = √2(p -c)/a
Hence, b as the subject of the formula is b = √2(p -c)/a
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8000(1+i)^8 solve for i
Answer:
128,000
Step-by-step explanation:
➟ 8000(1+i)8
➟ (8000 + 8000i)8
➟ 64000 + 64000 = I
➟ I = 128000
leonard can wash 6 cars in 4.5 hours. assuming that he always washes cars at this same rate, answer the following. how many cars can he wash in 9 hours?
how long will it take him to wash one car?
how many cars can he wash in one hour
He wash 12 cars in 9 hours.
And, He take 45 minutes to wash a car.
And, He wash one and one third part of cars in one hour.
Given that;
Leonard can wash 6 cars in 4.5 hours.
He always washes cars at this same rate.
We have to find number of wash cars in 9 hour and time to wash one car and number of wash cars in one hour.
What is relation between hour and minutes?
The relation between hour and minutes is ;
1 hour = 60 minutes.
Now, we have;
Leonard can wash 6 cars in 4.5 hours.
Time for wash 6 cars = 4.5 hour
So, Time for wash 1 car = 4.5 ÷ 6 = 0.75 hour
Since, 1 hour = 60 minutes
Hence, Time for wash 1 car = 0.75 x 60 = 45 minutes
And, In time 4.5 hour, number of wash cars = 6
So, In 1 hour, number of wash cars = 6/4.5 = 1 1/3
Hence, Number of wash cars in one hour is one and one third part of car.
In 9 hour, number of wash cars = (6/4.5) * 9 = 12
Hence, Number of wash cars in 9 hours is 12.
So, He wash 12 cars in 9 hours.
And, He take 45 minutes to wash a car.
And, He wash one and one third part of cars in one hour.
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Someone help me plsss
Answer:
e) 4¢
f) cents
g) Cents 102.9 convert to Dollars 1.029
h) Cents 98.9 convert to Dollars 0.989
i) $56.60
j) $54.40
Step-by-step explanation:
e) is correct. The discount is 4¢ per litre
f) It should be cents, not dollars
g) Without a voucher, the cost of fuel is 102.9¢ = $102.9/100= $1.029
h) Since the discount is 4¢ per litre, the price of fuel comes down froom 102.9 - 4 = 98.9¢ = 98.9/100 $ = $0.989
i) 55L at undiscounted price = 55 x $1.029 = $56.595 rounded up to $56.60
j) With a voucher, there is a discounted price of $0.989 per litre. So for 55L, discounted price with voucher = 55 x 0.989 = $54.395 = $54.40 rounded to the nearest cent
Which algebraic expression is equivalent to the expression below?
(4x + 12) + 9x
A.
(4x - 9x) + 12
B.
(4x + 12x) + 9
C.
(4x + 9x) + 12
D.
25x
The algebraic expression that is equivalent to (4x + 12) + 9x is: C. (4x + 9x) + 12.
How to Determine Equivalent Expression?Algebraic expressions are equivalent to each other if they have he same value when simplified or evaluated.
Given the expression, (4x + 12) + 9x, we have:
4x + 12 + 9x
Add like terms
13x + 12
Also, simplifying (4x + 9x) + 12, we give us the following:
4x + 9x + 12
13x + 12
Therefore, the algebraic expression that is equivalent to (4x + 12) + 9x is: C. (4x + 9x) + 12.
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Emma is planning how much she needs to make next week. She can only work 25 hours, and she needs to make a total of $620. What is the dollar value of sales Emma will need to make?
Answer:
The corrects answer is: Emma will need to make sales totaling $800 next week to meet her goal.
Step-by-step explanation:
label each quantity as an exact or inexact number. the four bicycles in the family have been ridden for a total of 250 mi. a child fell and had a 4-cm laceration that required 12 stitches.
Both statements can be included in the exact numbers category.
Maple provides two kinds of numbers: exact and inexact. If you do arithmetic with exact numbers (and they aren't too large) the answer that you get back is exactly right. If you do arithmetic with inexact numbers (and they aren't too large or too small) the answer may have a small amount of roundoff error. Although we'll treat this distinction at length in future lessons, it is convenient to take a preliminary look right now.
consider the four bicycles in the family have been ridden for a total of 250 mi.
The above statement can be categorized into exact numbers as 4 and 250 are countable.
Now, consider a child fell and had a 4-cm laceration that required 12 stitches.
The above statement can be categorized into exact as the numbers 4 and 12 are countable.
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The letters a and b represent nonzero constants. Solve ax+b=41 for x .
The given equation is solved to x as x=(41-b)/a.
The given equation is ax+b=41.
We need to solve the given equation for x.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, the equation ax+b=41 can be solved as follows:
Keep the variable x on the left-hand side of the equation and bring a to the right-hand side of the equation.
That is, x=(41-b)/a (when you bring a variable from LHS to RHS or vice versa the mathematical operations become inverse that is multiplication changes to division)
Therefore, the given equation is solved to x as x=(41-b)/a.
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Julie has $538 in her bank account. On Monday, she withdrew $218 from her bank account. On Friday, she deposited $49 into her
bank account. What is the net change in her bank account balance from before she made her withdrawal on Monday until after her
deposit on Friday?
Answer:
Step-by-step explanation:Before her deposit on Monday, she had $538 now she has, 538 - 218 + 49 = $369 in her bank account after her withdraw on Friday. Hope this helps, best of luck!
ax + bx = c please help I’m so confused
Answer:
[tex]x = \frac{c}{a + b} a = - b[/tex]
Oceanside Bike Rental Shop charges 24 dollars plus 7 dollars an hour for renting the bike. Mike paid 49 dollars to rent a bike. How many hours did he pay to have the bike checked out?
Step-by-step explanation:
24+7 =31 for one hour
so 49-31= 18 remaining 18/7 =2 remainder 4 so now we have 3 hrs but what about the remainder 4?
if 7 is to 60 as 4 is to x then...
7/60=4/x which will give you x=34.29 mins. so he rented the bike for 4 hours and 34.29 mins
a random sample of 12 tests for two different drugs revealed the following times (in minutes) until the effects of the drug were neutralized.which drug appears to be effective longer?
Drug A is more effective since mean time of effects of Drug A>mean time of effects of Drug B.
What is Random sampling?
Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population. Sampling mistake occurs when, for any reason, the sample does not accurately reflect the population.
One of the most straightforward methods for gathering information from the whole population is random sampling. Each member of the subset has an equal chance of being picked as part of the sample process when using random sampling.
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Acme widgets had an order to process 250 widgets. The first unit required 200 minutes to assemble. Before starting, the company estimated the amount of time it would require to assemble all 250 widgets if they learned at an 85% rate. After assembling all 250 widgets, acme realized they had learned at an 80% rate. How much time less than their estimate did acme take? you should be able to compute the answer within plus or minus 2 hours.
91.2 hours less was taken to assemble the parts of the widgets by estimation.
Firstly, we will find out the range:
Using the cumulative unit table to determine the range, we get that-
Range = 88.83 - 61.47
Range = 27.36
Secondly, we will calculate the minutes requires to assemble the widgets.
Number of minutes = 27.36 × 200 minutes
Number of minutes = 5472minutes
Now, we have to calculate how much time less than their estimate did acme take:
Time = 5472 / 60
Time = 91.2
Therefore, we get that, 91.2 hours less was taken to assemble the parts of the widgets by estimation.
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What is 9+7+5+6+3+4+1+4+4+4 / 6
Answer:
7.83 is the answer of ur question
3. The expression 2x+6 is equal to 9 for some value of x. Without finding the value of x, determine the
values for each of the following expressions. Show how you arrived at each answer.
(b) 2x+9
(a) 4x+12
2 (2x+6)
2(a)
18
(d) -6x-18
-3(2x+6)
-3(a)
-27
(e) 2x+1
22460
(c) x+3
26200
(f) 10x+32
in of
Answer:
E, B, 2 = (2x + 6)
Step-by-step explanation:
I think those are correct.
After finding the fish you would like to take home to cook, you discover it cost $2 to wrap the fish and $4.50 per pound. Another vendor is selling another fish for a flat rate of $5 per pound. Set up an equation to determine how many pounds of fish would result in the same cost. Then, solve the equation.
The length of a rectangular sign is 3 feet longer than the
width. If the sign's area is 54 square feet, find its length and
width.
(Anyone else taking Algebra 2?)
Answer:
length is 9 and width is 6
Step-by-step explanation:
List the factors of 54 and choose the numbers that only have a difference of 3. In this case it is 6 and 9, then put them in the order they go based on the instructions.
Find q in this equation
the density of a certain material is such that it weighs 3 grams per fluid ounce of volume. express this density in ounces per liter. round your answer to the nearest hundredth.
The density in ounces per liter is 3.57826 rounding off = 3.58
Density of a substance can be defined as a relationship between the mass and the volume of that substance.
[tex]Density=\frac{Mass}{Volume}[/tex]
For Example if a metal have a mass 0f 7gm and volume as [tex]5cm^{3}[/tex]
[tex]Density=\frac{7}{5} = 1.4g/cm^{3}[/tex]
we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter
1 gm/fluid ounce =1.19275 ounces/liter
3 gm/fluid ounce = 3*1.19275 ounces/liter
So 3 gm/fluid ounce = 3.57826 ounces/liter
On rounding it to nearest hundredth we get 3.58 ounces/liter
Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.
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Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
An open circle is at 3 and a bold line starts at 3 and is pointing to the left
Inequality expressionsInequalities are expressions that are not equated by an equal sign. Given the expression below:
3(8 – 4x) < 6(x – 5)
Expand to have:
3(8) - 3(4x) < 6x - 6(5)
24 - 12x < 6x - 30
Collect like terms
-12x - 6x < -30 - 24
-18x < -54
Divide both sides by -18
-18x/-18 < -54/-18
x < 54/18
x < 3
Hence the solution of the inequality on the number line A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left
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when addition or subtraction is performed, answers are rounded to the least significant decimal place
For addition and subtraction problems, the answer should be rounded to the least significant decimal places as the measurement with the least number of decimal places
The rightmost digit of a decimal number is the least significant digit or least significant figure. Another way to look at the least significant figure is to consider it to be the rightmost digit when the number is written in scientific notation. Least significant figures are still significant.
Count the number of significant figures in the decimal portion only of each number in the problem. Add or subtract in the normal fashion. Final answer may have no more significant figures to the right of the decimal than the least number of significant figures in any number in the problem.
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what is the distributive property of 57 x 9
Answer:
I believe the answer is (50 x 9) + (7 × 9)
You have to expand 57 which is 50 + 7 and multiply each by 9. Hope it helps!!