Answers
Answer:
(1) p(x) = 7x³ + 4x² + 6 - 9x⁴
Standard Form: - 9x⁴ + 7x³ + 4x² + 6Degree: 4Leading Coefficient: -9Leading Term: -9x⁴(2) p(x) = 1 + 3x - 9x⁵
Standard Form: -9x⁵ +3x + 1Degree: 5Leading Coefficient: -9Leading Term: - -9x⁵(3) y = 9x² - x³ + x⁹
Standard Form: x⁹ - x³ + 9x²Degree: 9Leading Coefficient: 1 (x⁹ = 1x⁹)Leading Term: x⁹(4) f(x) = (x +3)(x-2)(x+5)
Standard Form: x³ + 6x² - x - 30Degree: 3Leading Coefficient: 1Leading Term: x³Step-by-step explanation:
Standard form has terms arranged from the highest to the lowest power
Degree is the highest power
Leading coefficient is the coefficient of the highest term
Leading term is the term containing the highest power
(x + 3) (x - 2)(x + 5)
(x + 3) (x - 2) = x² + x - 6 using the FOIL method
(x² + x - 6)(x +5) = x³ + 6x² -x - 30
Step-by-step explanation:
come on, we explained this already in previous questions. if you understood the explanations there, you should have been able to some that here without any problems.
again, standard form is the sorted polynomial from highest variable exponent to the lowest (as the potential constant at the end represents the x⁰ term).
the leading term is the first term on the left (with the highest exponent).
the leading coefficient is the factor in this leading term.
degree is the highest exponent used in the polynomial (again, given by the leading term).
so, what is still the problem ?
i have a slight problem with your handwriting. it is unclear, if there is 7x³ or 17x³. or 13x or 3x.
1.
p(x) = 17x³ + 4x² + 6 - 9x⁴
now, just sort this from the highest to the lowest exponent.
p(x) = -9x⁴ + 17x³ + 4x² + 6
if it should be 7x³ instead of 17x³, please use 7x³ in the polynomial.
degree = 4
leading coefficient = -9
leading term = -9x⁴
2.
p(x) = 1 + 13x - 9x⁵
again sort from highest to lowest exponent
p(x) = -9x⁵ + 13x + 1
again, if it should be 3x instead of 13x, please use 3x in the polynomial.
degree = 5
leading coefficient = -9
leading term = -9x⁵
3.
y = 9x² - x⁵ + x⁹
remember, y = f(x)
that is the same thing, means the same thing. it just gives the result variable a specific name.
again sort by exponent.
y = f(x) or p(x) or ... = x⁹ - x⁵ + 9x²
degree = 9
leading coefficient = 1
leading term = x⁹
4.
f(x) = (x+3)(x-2)(x+5)
this is really like the other question I just answered.
so, we always multiply 2 terms. that result we multiply by the third term. and if they're are more, then that result with the fourth term, and that with the 5th term,...
I usually start at the left :
(x+3)(x-2) = x² - 2x + 3x - 6 = x² + x - 6
now
(x² + x - 6)((x+5) = x³ + 5x² + x² + 5x - 6x - 30 =
= x³ + 6x² - x - 30
so,
f(x) = x³ + 6x² - x - 30
degree = 3
leading coefficient = 1
leading term = x³
Related Questions
Type the next number in the list
3, 12, 60, 240, 1200 what’s the next number
Answers
In the given number series 3, 12, 60, 240, 1200, the next number is 4800.
How to find the next number?
3, 12, 60, 240, 1200
Solution:
In the given sequence,
3, 12, 60, 240, 1200
Each intermittent number is multiplied by 4 and the number next to it by 5.
3*4 = 12
12*5 = 60
60*4 = 240
240*5 = 1200
1200*4 = 4800
Therefore, the next number is 4800.
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I don’t under what it is trying to say
Answers
Answer:
-2
Step-by-step explanation:
It’s asking you to solve the expression with the values given. After doing that, it’s asking you to simplify the result.
Expression - Does not have an equal sign, only the operation (multiplication, division, addition, subtraction).
the circumference of a circle is 60cm what is the area
step by step explanation please
Answers
The area of a circle with the value of its circumference as 60cm is 286. 38cm²
How to determine the area of the circleThe formula for determining the formula for circumference of a circle is expressed as;
Circumference = 2 πr
Given that;
π has a fractional value of 22/ 7 and a decimal value of 3. 14r is the radius of the circleNow, we have to substitute the value of circumference of the circle as 60cm
We have;
60 = 2 πr
Now, substitute the value for π into the equation, we have;
60 = 2× 3.14r
Multiply the values, we get;
60 = 6.28r
Make 'r' the subject of formula in the equation
r = 60/6.28
r = 9.55cm
But we know that e formula for area of a circle is expressed as;
Area = πr²
Now, substitute the value of radius into the formula, we have;
Area = 3. 14(9.55)²
Find the squares
Area = 3.14(91.2025)
Multiply the values by expanding the bracket
Area = 286. 38cm²
Hence, the area is 286. 38cm²
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an elliptical arch is constructed which is 6 feet wide at the base and 9 feet tall in the middle. find the height of the arch exactly 1 foot in from the base of the arch.
Answers
The height of the arch is about 6.71 feet when measured from its base at a distance of one foot.
This is further explained below.
What is an ellipse?Generally, An ellipse is a collection of points whose distances from a fixed point (focus) or fixed line (directrix) is constant and less than 1.
Depending on whether the transverse axis is horizontal or vertical, we may construct an equation for the ellipse. The main axis is located along the transverse axis. The ellipse may be represented using the following equations:
[tex]\begin{aligned}&\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1 \\&\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1\end{aligned}[/tex]
An elliptical arch is described as having a center height of 9 feet and a width of 6 feet. The precise height of the arch from the base has to be determined.
[tex]\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1[/tex]
The center (h, k) is where the graph is since we centered it at the origin (0,0). We only need to enter the numbers into the equation at this point.
[tex]\begin{aligned}\frac{(y-0)^2}{9^2}+\frac{(x-0)^2}{3^2} &=1 \\\frac{y^2}{81}+\frac{x^2}{9} &=1\end{aligned}[/tex]
Since we divided the arch in half, 0 [tex]\leq[/tex] 9 in this instance. All that is left to do is calculate the arch's height in feet from the base.
The height of 1 foot from each end of the arch must thus be determined. The locations of the arch's ends are x=-3 and x=3. Here, we have a choice between the two. We may choose x=3-1=2 for this. Therefore, all that is left to do is enter x=2 in our usual form and work out the value of y that results.
[tex]\frac{y^2}{81}+\frac{(2)^2}{9}=1[/tex]
y^2+36=81
y^2+36-36=81-36
y=3√5
Therefore, the height of the arch at 1ft from the base is 3 √5ft or approximately 6.71ft
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The population of the United States is approximately 3.28×108 people, and the population of Brazil is approximately 2.12×108 people. What is the difference between the populations of the United States and Brazil?
Answers
Answer:
[tex]1.16 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex](3.28 \times {10}^{8} ) - (2.12 \times {10}^{8} ) = 1.16 \times {10}^{8} [/tex]
will give brainliest
Write the set of coordinates for a reflection of the figure over the x-
axis.
(-1, 3) (-3, 1) (-5, 1) (-4, 6)
Answers
Check the picture below.
Graph each inequality on a separate number line.
X<4
Answers
The inequality x & lt; 4 is represented on a number line .
What is number line?
A number line is a representation of a graduated straight line in elementary mathematics that serves as a visual representation of the real numbers. It is assumed that every point on a number line corresponds to a real number, and that vice versa. Frequently, the integers are represented by specially marked, uniformly spaced points on a line. The line includes all real numbers, continuing indefinitely in both directions, as well as numbers that are in between the integers, even though the image only displays the integers from -3 to 3. It is frequently employed as a teaching tool, particularly when teaching simple addition and subtraction with negative numbers.
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Please help me asap!! I will try an give brainliest to the person who has the correct answer! (The equation that I answered in the picture was on accident, I'm not sure if that is the actual answer.)
Thank you!
Answers
Answer:
Your answer would be the last one since that's the one that doesn't have a changed result when the numbers are moved around.
Henry has $75 in his bank account. If he withdraws $75 from the account, how much money will be left in the account?
Answers
Answer:
$0
Step-by-step explanation:
Henry has $75 in his bank account. If he withdraws $75 from the account, how much money will be left in the account?
$75 beginning balance - $75 withdrawal = $0
What is the special angle pair relationship between ∠1 and ∠3?
Answers
Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 3 are corresponding angles
each is in the same position ( the upper left hand corner) in its group of 4 angles.
( Please help I'll mark brainliest )
Answer the question in the photo.
Answers
Answer: 5/3
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.
if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the value of p(odd number)? explain.
Answers
if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, No , it does not change the value of p(odd number) .
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = number of odd digits / number of faces = 4/6=2/3
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is (because it is twice the others). The sum of probabilities must be 1.
x+x+x+x+x+2x=1
7x=1
x=1/7
P(odd number) = 3 * Prob(1) + Prob(3)
=3*1/7 +2/7 = 5/7
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What is the value of 2^4 + 9x + 2 when x= 2?
Answers
The value of 2⁴ + 9x + 2 when x = 2 is 36.
What is an Algebraic Expression?An algebraic expression in mathematics is one that contains variables, constants, and algebraic operations (addition, subtraction, etc.). Terms comprise expressions. These expressions use unknown coefficients, constants, and variables. These three terms combined are referred to as an expression.It should be noted that an algebraic expression lacks sides and the equal sign, in contrast to an algebraic equation.You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.Given:
Algebraic expression is 2⁴ + 9x + 2
Where x = 2
So substituting the value of x to find the result of the expression,
2⁴ + 9x + 2 = 16 + 9×2 + 2 = 16 + 18 + 2 = 36
Hence the value of the expression is 36.
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The following table shows inflation over the given period.
Time span
1970-2010
1980-2010
Inflation
462%
164%
The following table shows average house priced for the given year:
Year
Average
home sale
1970
1980
$18,300
1990
1990-2010
67%
2000
2000-2010
26%
2010
$47,200
$79,100
$119,600
price
a) Find the percentage change in the home sale price between the year 1970 and 2010 using the above table
$156,000
Answers
The percentage change in the home sale price between the year 1970 and 2010 is 13.01%
What is percentage?It is a relative value used to denote hundredths of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. A number's percentage is its weight in relation to 100. For example in the case, there are 26 females and 24 boys in a class. 52% of the class is made up of girls, which means that out of 100 students, 52 are female.
Given Data
Average home sale
1980 = $18300
1990 - 2010= $2000
Percentage sale = [tex]\frac{20300}{156000}[/tex] × 100
Percentage sale = 13.01
The percentage change in the home sale price between the year 1970 and 2010 is 13.01%
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8. Order these numbers from least to greatest. 26 087, 2.6 x 10', 26 079, 2.6432 x 10,26 295, 2.6803 x 10
Answers
The numbers are 26.087, 2.6 x 10', 26.079, 2.6432x 10,26.295, 2.6803x10. The order of the number from least to greatest is 26, 26.079, 26.087, 26.295, 26.432, 26.803.
Given that,
The numbers are 26.087, 2.6 x 10', 26.079, 2.6432x 10,26.295, 2.6803x10.
We have to find the order of the numbers from least to greatest.
The order of the numbers from least to greatest is nothing but an ascending order.
Ascending order is nothing but ascending order refers to the grouping of information from the lowest to the highest value. Increasing order is another name for it.
Now, we take the numbers
1st number is 26.087.
2nd number is 2.6×10=26.
3rd number is 26.079.
4th number is 2.6432×10=26.432.
5th number is 26.295.
6th number is 2.6803×10=26.803.
Now, we write in ascending order
26, 26.079, 26.087, 26.295, 26.432, 26.803.
Therefore, the order of the number from least to greatest is 26, 26.079, 26.087, 26.295, 26.432, 26.803.
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What is the slope of the line?
Answers
Answer:
Step-by-step explanation:
Slope= rise/run or y2-y1/x2-x1
the two points are (4,-4) and (1,4)
so, it is (( -4) - 4) /(4-1)= -8/3
slope = -8/3
Question 9(Multiple Choice Worth 1 points)
(04.05 MC)
A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.
Years of experience Salary
0 $40,000
1 $42,150
2 $44,260
3 $46,785
4 $48,820
5 $51,126
Use the equation for the line of best fit to predict the salary for an employee with 7 years of experience? (Round your answer to the nearest dollar.)
$52,900
$53,340
$53,914
$55,573
Answers
By using the equation for the line of best fit, the salary for an employee with 7 years of experience is: D. $55,573.
What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
In this scenario, the employee's years of experience would be plotted on the x-axis of the scatter plot while salary would be plotted on the y-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:
y = 2233.3x + 39940
Next, we would use the equation for the line of best fit to predict the salary for an employee with 7 years of experience:
y = 2233.3(7) + 39940
y = 15,633.1 + 39940
y = 55,573.1 ≈ $55,573.
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Answer:
D
Step-by-step explanation:
$55,573
MIRA 5(=2)-3(x-2) 5x=10-3x + 6 2x=4Mira and Vernon are simplifying the expression 5(x-2)-3(x-2). Who's process is correct, Mira, Vernon, or both?
Answers
Answer:
Mira is correct
Step-by-step explanation:
She did all the steps and Vernon skipped some so u dont rlly understand what he did u could lose points if it was an exam for example
a rope 18M and 50Cm is to be divided into four equal parts. how long will each part be? give your answer in metres and centimetres
Answers
Answer:
4 m and 62.5 cm
Step-by-step explanation:
1 meter = 100 cm
So 18m and 50 cm = 18 x 100 + 50 cm = 1850 cm
If it is going to be divided into 4 equal parts, each part = 1850/4 = 462.5 cm
462.5 cm = 462.5/ 100 = 4 m and 0.625 m
0.625m = 0.625 x 100 = 62.5 cm
So each piece is 4 m and 62.5 cm
A certain Figure Q is enlarged to form Figure P. Are Figures Q and P congruent?
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Not \:\: Congruent [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
If a figure is enlarged, it will still be similar to the original figure, but it won't be congruent to the original figure, because, to be congruent the figures should be of equal size/ coincide each other perfectly, which isn't possible in this scenario.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
please help me with this problem
Answers
Solution
In a cyclic quadrilateral, opposite angles is supplementary.
=> 3x - 59 + 2x - 1 = 180
=> 5x - 60 = 180
=> 5x = 180 + 60
=> 5x = 240
=> x = 48
Angle A = 2(48) + 4 = 100
Also, A + C = 180
=> C = 180 - 100
=> C = 80
cual es el volumen de una pila que mide 100 cm de ancho por 110 de largo por 130 cm de alto
Answers
The volume of the pile based on the width, height, and length of the pile can be found to be 1.43 m³
How to find the volume?The volume of the pile can be found by the formula:
= Length x Width x Height
From the question, the dimensions of the pile are:
Length = 110 cm
Width = 100 cm
Height = 130 cm
The volume is:
= 110 x 100 x 130
= 1,430,000 cm³
Converted to meters gives:
= 1,430,000 / 1,000,000
= 1.43 m³
In conclusion, the volume in meters of the pile is 1.43 m³
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Classify the equation 4x+2=4x+2 as having one solution,no solution or infinite many solutions.
Answers
Answer:
Infinite many solutions
Step-by-step explanation:
4x + 2 = 4x + 2
-4x -4x
----------------------
2 = 2
or
4x + 2 = 4x + 2
-2 -2
-----------------------
4x = 4x
Infinite many solutions
I hope this helps!
3(x+y)=y
If (x,y) is a solution to the question above and
Y= 0, what is the ratio x/y ?
A) -4/3
B) -2/3
C) 1/3
D) 2/3
Answers
The value of x / y in the given equation will be -2 / 3. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 3(x+y) = y, the value of x / y will be calculated as:-
3(x+y) = y
( x + y ) / y = 1 / 3
( x / y ) + 1 = 1 / 3
( x / y ) = ( 1 / 3 ) - 1
( x / y ) = -2 / 3
Therefore, the value of x / y in the given equation will be -2 / 3. The correct option is B.
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TABLE-TENNIS TABLES Target purchases TIGA table-tennis tables at a cost of $180 each. If the company's operating expenses are 16% of cost, and a net profit of 7% of cost is desired, find the selling price of one table-tennis table.
Answers
Answer:
The selling price of one table-tennis is $221.40
Step-by-step explanation:
A $100 sweatshirt is put on sale for 40% off. One week later, the sale price is marked up by 40%. Will the marked-up price of the sweatshirt be less than, greater than, or equal to the initial price of $100?
Answers
The new price after being marked up is less than initial price of $100.
The price of sweatshirt after discount = 100 - 40%×100
Converting percentage to fraction
The price of sweatshirt after discount = 100 - (40/100)×100
The price of sweatshirt after discount = 100 - 40
Performing subtraction
The price of sweatshirt after discount = $60
The marked up sale price = 60 + 40%×60
Converting percentage to fraction
The marked up sale price = 60 + (40/100)×60
Cancelling zero and performing multiplication
The marked up sale price = 60 + 24
Performing addition
The marked up sale price = $84
Thus, the marked up price after discount will be less than the initial price of $100.
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kareem needs to make a total of 40 deliveries this week. so far hes completed 28 of them. what percentage of deliveries has he completed?
thank youuuu
Answers
If Kareem has completed 28 out of the 40 deliveries he needs to fulfill this week, then he has completed 70 percentage of his total deliveries.
As per the question statement, Kareem needs to make a total of 40 deliveries this week, and he has completed 28 thus far.
We are required to calculate the percentage of deliveries, Kareem has completed so far.
To solve this question, we simply need to divide the number of deliveries completed so far, by the total number of deliveries Kareem needs to fulfill in the week, and then multiply the quotient with 100, to obtain our desired answer.
Here, number of deliveries completed so far by Kareem = 28,
And, total number of deliveries Kareem needs to fulfill = 40.
Therefore, percentage of deliveries, Kareem has completed so far
= [(28/40) * 100]
= [(7/10) * 100]
= (7 * 10)
= 70%.
Percentage: In Mathematics, percentage is the number or ratio, being expressed as a fraction of 100 and often denoted using the percent sign, "%".To learn more about Percentage, click on the link below.
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I’m trying to figure out this question but can’t need help asap
Answers
Answer:
bottom right rectangle: 5x − y
bottom circle: 6x
Step-by-step explanation:
First, solve for the bottom right rectangle by finding the difference between the top right rectangle and the middle right circle:
(9x + 4y) − (4x + 5y)
= (9x − 4x) + (4y − 5y)
= 5x − y
Next, to find the bottom circle, add the bottom left rectangle with the bottom right rectangle (the one we just solved for):
(x + y) + (5x − y)
= (x + 5x) + (y − y)
= 6x
Pls help PLEASE
x/3 + x-1/4=2+x.
Find X
Answers
Answer:
27/5
Step-by-step explanation:
x/3+x-1/4 = 2+x
4x+3x-3/12=2+x
7x-3=24+12x
7x-12x=24+3
5x=27
x=27/5
Ana runs 3/4 mile in 6 minutes. Fill in the missing values in the table. Using the table, find the constant of proportionality. Then write the equation to represent this relationship.
Answers
1. The constant of proportionality when Ana runs 3/4 mile in 6 minutes is 0.125.
2. The missing value in the table will be 7.5 miles and 8.75 miles.
What is constant of proportionality?It should be noted that the constant of proportionality simply illustrates the ratio of two given values that have a proportional relationship.
1. In this case, Ana runs 3/4 mile in 6 minutes. Therefore, the constant of proportionality will be:
y = kx
where y = distance
x = time
3/4 = 6x
0.75 = 6k
Divide
k = 0.75 / 6
k = 0.125
The constant of proportionality is 0.125.
2. The missing value in the table will be:
y = kx
when x = 60.
y = 60 × 0.125 = 7.5 miles.
y = kx
when x = 70
y = 70 × 0.125 =8.75 miles.
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