You have the following polynomial given in the exercise:
\(-2xy^5+3x^7-10x^3y^6+8x^6+4\)As you can see, terms of a polynomial are separated by these signs:
\(\begin{gathered} + \\ - \end{gathered}\)Therefore, this polynomial has five terms.
In order to find the degree of the polynomial, since it has two variables, you need to add the exponents of both variables of the corresponding term:
For the term
\(-2xy^5\)The variable "x" has exponent 1 and the variable "y" has exponent 5. Then:
\(-2xy^5\rightarrow1+5=6\)For next terms, you get:
\(\begin{gathered} 3x^7\rightarrow7 \\ \\ -10x^3y^6\rightarrow3+6=9 \\ \\ 8x^6\rightarrow6 \end{gathered}\)Notice that the greatest value is 9. Therefore:
\(Degree=9\)Notice tha the last term of the polynomial does not multiply any variable. Then, the Constant term is:
\(4\)Knowing the sum of the exponents of each term, you can identify that the polynomial is not in decreasing degree order.
The Leading coefficient of a polynomial is the coefficient that multiply the variables with the highest exponents. Then, the Leading coefficient in this case is:
\(-10\)The answers are:
First option.
Fourth option.
Describe the translation y= (x-2) squared +5 -> y = (x+2) squared - 3
9514 1404 393
Answer:
A. T<-4, -8>
Step-by-step explanation:
To get the second equation, we had to replace x with x+4 (a translation left 4) and we had to add -8 to the function value (a translation down 8).
Left 4 and down 8 is the translation ...
T<-4, -8>
Arrange the four expressions in ascending order of their values when x = -2.
Answer:
3-1 2-4 1-3 4-2
Step-by-step explanation:
Consider the line 5x+2y=−4. What is the equation of the line parallel to the given line that passes through the point (−2, 6) in slope-intercept form? Enter your answer by filling in the boxes to complete the equation.
Answer:
y = -5/2x +1
Step-by-step explanation:
You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.
Parallel lineThe equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:
5(-2) +2(6) = c
-10 +12 = c
2 = c
Now we know the equation of the parallel line can be written as ...
5x +2y = 2
Slope-intercept formSolving for y puts this in slope-intercept form:
2y = -5x +2 . . . . . . . . subtract 5x
y = -5/2x +1 . . . . . . . . divide by 2
We don't know what your boxes look like, but we can separate the numbers to make it look like this:
\(\boxed{y=\dfrac{-5}{2}x+1}\)
#95141404393
What is the value of x?
These are the options!
1- x= 15
2- x= 12
3- x= 24
4- x= 17
Answer:
since they are alternate angles(equal)
4x-10=58
4x=68
x=17
Answer:
option 4
Step-by-step explanation:
(4x - 10) and 58 are alternate angles and are congruent, then
4x - 10 = 58 ( add 10 to both sides )
4x = 68 ( divide both sides by 4 )
x = 17
Find the area of the triangle.
b ft
h yd
Question content area bottom
Part 1
The area of the triangle is
enter your response here or
enter your response here .
The area of the triangle is 52.32 square units
Finding the area of the trianglefrom the question, we have the following parameters that can be used in our computation:
The triangle (see attachment)
The base of the triangle is calculated as
base = 12 * tan(36)
The area of the triangle is then calculated as
Area = 1/2 * base * height
Where
height = 12
So, we have
Area = 1/2 * base * height
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * 12 * tan(36) * 12
Evaluate
Area = 52.32
Hence, the area of the triangle is 52.32 square units
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Ashley is training to run a marathon. On Monday, she runs 21 miles in 3 hours. On Wednesday, she runs 10 1/2 miles in 1 1/2 hours. What is the constant of proportionality in miles per hour?
Answer:
10.5 mph
Step-by-step explanation:
To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.
For Monday's run:
Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour
To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour
Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.
1.3 Do Activity 1.4.1 from your Study Guide. Give a concise account (do not copy and paste) of the main points of the principle of "Caring about the development of students' mathematical proficiency". (6)
The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.
As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:
1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.
2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.
3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.
4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.
5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.
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Sally puts $200.00 in a bank account. Each year the account earns 8% simple interest. How much interest will be earned in three years? A $16.00 B $24.00 C $48.00 D $160.00
Answer:
D
Step-by-step explanation:
The price of an item yesterday was $130. Today, the price fell to $39. Find the percentage decrease.
Answer:
30% decrease
Step-by-step explanation:
We have to divide 39 by 130 and then find the percentage of it. 39/130 is equal to 3/10, and 3/10 is equal to 30%. That means that it was a 30% decrease.
Answer:
35%
Step-by-step explanation:
Please help !! Which are pairs of vertical angles?
< AOC and
Answer: all of them
Step-by-step explanation:
5. Match the steps for constructing a congruent line segment to their pictures.
▼
▼
1. Step 2: Draw a second line
segment that is longer than the
first.
2. Step 4: That intersection is the
final endpoint of the copied
segment.
3. Step 1: Put the point of the
compass on one endpoint of the
segment to be copied. Change the
compass setting so that the
pencil end is just touching the
other endpoint, make a small arc
to see this.
4. Step 3: Without changing the
compass setting, put the
compass point on the new
endpoint on a new line. Make a
small arc that intersects the line.
We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:
Step 1 - Picture a
Step 2 - Picture b
Step 3 - Picture c
Step 4 - Picture c.
What is a line segment?Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.
The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.
A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.
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Answer:
Step-by-step explanation:
(c) Mr. Young suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 35% lower than $1879. What was the price the travel agent found? Show your work.
Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).
A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.
(sorry if im wrong)
:(
the perimeter of a semicircle protractor is 14.8cm,find it's radius
The radius of the semicircle protractor is approximately 4.693 cm.
Given,Perimeter of a semicircle protractor = 14.8 cm.
To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.
Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.
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4 to the 3 power, x 4 to the 4th power, divide by 4 to the 9th power
Answer:
We can simplify the expression as follows:
4^3 * 4^4 / 4^9
First, we can simplify the terms in the numerator by adding the exponents of 4:
4^3 * 4^4 = 4^(3+4) = 4^7
Now, we can substitute this value in the expression:
4^7 / 4^9
To divide powers with the same base, we can subtract their exponents:
4^(7-9) = 4^(-2)
Therefore, the simplified expression is:
4^3 * 4^4 / 4^9 = 4^(-2)
So, the final answer is 1/16 or 0.0625.
If using the method of completing the square to solve the quadratic equation
x^2 −19x−24=0, which number would have to be added to "complete the square"?
3. Identify the graph described by the function
P(x)= x/10 for x = 1, 2, 3, and 4.
Answer:
D
Step-by-step explanation:
if x = 1
P(x) = 1/10
if x = 2
P(x) = 2/10
if x = 3
P(x) = 3/10
if x = 4
P(x) = 4/10
Can you solve this I need help?
Answer: 1. p=5
2. p=-5
the rest ur on ur own c one time i gave out all the answers and got reported
Step-by-step explanation:
Answer:
1. p=5
2. p=-5
Step-by-step explanation:
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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Which expression results in a sum or difference of
the answer choices are
here it is, hope i helped :)
the answer is 3 1/12
Answer:
6 2/6 -3 2/8
Step-by-step explanation:
6*6=36
36+2=38
so it becomes 38/6
8*3=24
24+2=26
so it becomes 26/8
for same denominator *ply 38/6 with 8 &26/8 with 6
it will become: 304-156/48
148/48
which is equal to
3 4/48
(SAT Prep) Find the value of x.
Answer: 36˚
Step-by-step explanation:
180 - 3x = 2x
180 = 5x
.: x = 36˚
Consider the polynomial 9x2 – 16.
Answer: 2
Step-by-step explanation:
9 × 2 - 16
18 - 16
2
An apartment building has 9 apartments that are being rented. The data shows the monthly rent for each apartment.
$1,710 $1,515 $1,410 $1,435 $1,555 $1,595 $1,690 $1,575 $1,640
Create a stem display for this data.
The stem display for the data, given the monthly rent and the apartment building is:
$14 | 10 15 35
$15 | 15 55 75 95
$16 | 40 90
How to make the stem display ?To create a stem display, we first divide the data into groups of tens. The first group is $ 1400 -$ 1499, the second group is $ 1500 - $1599 , and so on. Next, we write the units digit of each number in the appropriate group.
For example, the number 1,710 is in the $ 1500 - $ 1599 group, so we write a 1 in the 15 column. Finally, we count the number of numbers in each group. There are three numbers in the $ 1400 - $ 1499 group, two numbers in the $ 1500 - $ 1599 group, and three numbers in the $ 1600 - $ 1699 group.
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What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Let f(x) = x3 + x + 1. Which expression gives ((x)?
dx
پیام
1 (x)
1
(1+ 3x2) ام
1
(x) 1-م1 + 3x2)
1+ 2 (بر) 1-)3
1
Answer:
The 4Tth option is the correct answer.
Step-by-step explanation:
Hope this helps:)
An employee makes $10.51 per hour but is getting a 3% increase. What is his new wage per hour to the nearest cent? What percentage of the original wage is his new wage?
The employee's new wage per hour is $10.83. The percentage increase of the original wage to his new wage is 3%.
What is a percentage increase?A percent increase means how much a percentage has gone up over time. To find this number, one would need to find the difference between the original value and the final value, subtracting to find the exact total of the decrease. The formula for percent increase equals to "Increase / original number (value) x 100".
Given data:
First, we find 3% of $10.51 to get new wage per hour
= 0.03$ * $10.51
= $0.32
Then, we add this increase to $10.51.
= $10.51 + $0.32
= $10.83
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A survey of 135 freshmen business students at a local university produced the results listed below. How many students took English and science, but not music? 26 took English; 24 took science; 25 took music; 17 took English but not science; 11 took science and music; 14 took English and music; 4 took all three
A survey of 135 freshmen business students at a local university. So, many students took English and science, but not music is 39.
Determine many students took English and science, but not musicThese are the specified parameters:
English = 26
Science = 24
Music = 25
English but not science = 17
Science and music = 11
English and music = 14
Took all theree = 4
Lots of students took English and science
Look at the venn diagram in the attachment.
26 + 24 + 25 + x - 4 + 4 + 10 + 7 = 135
x + 92 = 135
x = 135 - 92
x = 43
Lots of students took English and science, but not music
= x - 4
= 43 - 4
= 39
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Which expressions are equivalent to the one below? Check all that apply. 9x 36* D A Св. х5 B. | * c. c. 36 D D. 9.9X+1 36 DE E. LASSE F. 9.9x-1
To answer this question we will use the following properties of exponents:
\(\begin{gathered} (\frac{a}{b})^x=\frac{a^x}{b^x}, \\ a^x*a^y=a^{x+y}. \end{gathered}\)Now, notice that:
\(9=\frac{36}{4}.\)Therefore:
\(9^x=(\frac{36}{4})^x.\)Using the first property we get that:
\(9^x=\frac{36^x}{4^x}.\)Now, notice that x=1+x-1, then:
\(9^x=9^{1+x-1}=9*9^{x-1}.\)Answer: Options A, E, and F.
Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bikes and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
Please help I don’t understand
Answer:
The equivalent ratios are:
16:10
8:5
48:30
Step-by-step explanation:
It is given that the ratios are equivalent ratios. So all the ratios will simplify to the same ratio. We can use this to find the ratios.
given ratio is:
16:10
which simplifies to
8:5
We can observe that the second ratio will be same 8:5
Now,
\(\frac{8}{5} = \frac{x}{30}\\x = \frac{8}{5} * 30\\x = 48\)
Hence,
The equivalent ratios are:
16:10
8:5
48:30
difference between twice a number and another number is 8, find the minimul product between the two numbers as well as the two numbers
The minimum product between the two numbers is 0 and the two numbers are 4 and 0.
here 1st number is x
and 2nd number is y
and the difference between twice a number and another number is 8 so 2x-y = 8
minimum value of
xy
= x(2x-8)
here the eqn is x(2x-8)
and we have to find its minima
If we have a formula expressed as y= ax2+bx+c , we can find the minimum of the quadratic equation according to the following formula: The minimum value is min= c-b2 /4a.
and the minima is at x=4
here the minimum value will be 0
so either value of x=0 or x= 4;
first number is 4 and second is 0
and product of x*y = 0;
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