The product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
Given that, (x+2y)(x²-xy+3y).
What is product of polynomials?To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.
The product of two given polynomials is as follows
(x+2y)(x²-xy+3y)
= x(x²-xy+3y)+2y(x²-xy+3y)
= x³-x²y+3xy+2x²y-2xy²+6y²
= x³+x²y-2xy²+6y²+3xy
Hence, the product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
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A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = \frac{1}{4} x[/tex]
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula [tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}[/tex]
Thus, the slope is [tex]\frac{1}{4}[/tex].
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{4}[/tex] for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
[tex]y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x[/tex]
A bank wonders if omitting the annual credit card fee for customers who charge at least $2400 in a year will increase the amount charged on its credit cards. The bank makes this offer to an SRS of 200 of its credit card customers. It then compares how much these customers charge this year with the amount that they charged last year. The mean increase in the sample is $332, and the standard deviation is $108.
Answer:
We reject the H0
Step-by-step explanation:
Given that:
Sample size, n = 200
x, = 332 ; s = 108
H0 : μ = 0
H1: μ > 0
The test statistic :
(x - μ) / s/sqrt(n)
332 / 108/sqrt(200)
332 / 7.6367532
Zstatistic = 43.47
Pvalue from Zstatistic at α = 0.05
P value is bet small < 0.00001
Pvalue < α
We reject the null
Conclusion: Amount charged on credit card under the no - fee plan increases
180÷(4+16)-8×3+7×(2+3)
Answer:
111
Step-by-step explanation:
Use PEMDAS to solve this equation, so first we have to do parenthesis first. Simplify 4+16 to get 20. Simplify 2+3 to get 5. Therefore, the equation will now look like 180/(20)-8x3+7x(5). Because we can do either division or multiplication first, we have to solve the equation started from the left. Therefore, we do 180/20 which is 90. Then the equation will be 90-8x3+7x5. Multiply -8 and 3 together to get -24. Therefore, the equation will be 90-24+7x5. Because we always do multiplication/division before addition/subtraction. We have to do 7x5 which is equal to 35. Therefore, the equation will look like 90-24+35. Because there is only subtraction and addition now, we should start from the left hand side which is 90-24. Simplify this to get 76. Then the equation will be 76+35. Simplify this to get 111.
If this answer helps, please mark it as brainliest
please help !!!!!!!!!!!!!!!!!!!
what is A
Answer:
Step-by-step explanation:
a=11/12
You are buying a new internet service. The service costs $75 per month. In the equation below, d is the
total number of dollars that you pay for your service, and t is the time (in months) that you keep the
service.
The relationship between these two variables can be expressed by the following equation:
d = 757
Identify the dependent and independent variables.
Help!!!
Answer:
The total number of dollars you pay: Dependent
The time in months you keep your service: Independent
Write an equation to show how the Distributive Property can help you solve each problem. 3 Kelly signed copies of her new book at a local bookstore. In the morning she signed 36 books, and in the afternoon she signed 51 books. It took her 5 minutes to sign a book. How much time did she spend signing books? Equation: Solution:
Answer:
wouldnt it be 8 im not sure tho
Step-by-step explanation:
Convert 45ft from feet to yards
PLS.Answer
Answer:
15 yards
Step-by-step explanation:
3ft=1yard
45/3=15
I need help and I don’t know how to check it
Answer:
y=2x+3
Step-by-step explanation:
difference quotient for f (x) = 2x + 3 /5x
Answer:
1 and -0.6
Step-by-step explanation:
Please help me if you can 10 points if you help
Answer:
C) 0%
Step-by-step explanation:
Let’s give the square sides equaling 4. The area would equal 16.
Decreasing the top by 75% would make it 1. Increasing the bottom by 75% makes it 7.
(1+7)/2=4
The height is still four so 4x4=16
No change in area.
4 to the power of3 -(2+2to the power of 3) x 5
Answer:
14
Step-by-step explanation:
Given the following equation;
4³ - (2 + 2³) * 5
4*4*4 - (2 + 2*2*2) * 5
64 - (2 + 8) * 5
64 - (10) * 5
64 - 50 = 14
Note: the rule of BODMAS was applied.
7) Taylor has a bag of marbles that are all the same size. Of all the marbles
in the bag, there are 5 red, 6 pink, 7 blue, 3 green, and 4 yellow marbles.
Using a probability model for this experiment, predict how many times
Taylor would pick up a red marble if she choses a marble 300 times. *
I
Answer:
60 times
Step-by-step explanation:
There are a total of 5+6+7+3+4=25 marbles
Out of those 25 marbles, 5 are red.
Since there would be a 5/25=1/5 chance of selecting a red marble one time, then we can set up a proportion to find out how many red marbles Taylor will select out of 300 marbles.
1/5=x/300
(1)(300)=(5)(x)
300=5x
60=x
x=60
Therefore, using a probability model for this experiment, Taylor would pick up a red marble 60 times if she chooses a marble 300 times.
In the parallelogram below,
y = [?]
5y-20
2y+25
PLEASE HELP
PLEASE HELP! Which of the following teams will have a greater standard deviation in their heights ?
The equation a2 + b2 = ca represents the relationship between the three sides of a right triangle.
Hal leans a ladder that is 26 feet long against the side of a building. The base of the ladder is 10 feet from the side of the building.
How high up the side of the building is the top of the ladder?
A 24 feet
B 22 feet
C 28 feet
D 16 feet
Answer:
Step-by-step explanation:
I think you mean a² + b² = c², not ca.
a = 10, c = 26
b² = c² - a² = 26² - 10² = 576
b = √576 = 24 ft
how do i solve this 14 − x = 5
Answer:
9
Step-by-step explanation:
because 14-5=9
What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x – 5y 20?
Answer:
y=-5x/4-2
Step-by-step explanation:
4x – 5y = 20
y = (4/5)x - 4
slope is 4/5
let new slope m:
(m)(4/5)=-1
m=-5/4
point slope form:
(y-3)/(x+4)=-5/4
y-3=-5x/4-5
y=-5x/4-2
Mr. Bernstein owns 11 paintings, but has only enough wall space in his home to display five of
them at any one time. How many ways can Mr. Bernstein display three paintings in his home?
Answer:
In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation you’re familiar with where one quantity changes constantly in relation to another quantity. How are the two quantities in the situation related? If you represent the two quantities on a graph, what will it look like?
Step-by-step explanation:
ILL GIVE BRAINLESTTTTTT
Answer:
Step-by-step explanation:
5/3 *2=10/6
10/6-6/6=4/6
PLZ HELP!! WILL MAKE BRAINLIEST!!!
Answer:
formula is 6a²= surface area
but since one side is not being painted it is
5a²= surface area
5(3.2)²
=51.2cm
What is the value of x?
Answer:
x=14/3
Step-by-step explanation:
According to the corresponding angles theorem, when parallel lines are cut by a transversal, the corresponding angles are congruent. These 3 lines are all parallel, so 70 = 12x +14.
Subtract 14 from both sides
56 = 12x
Divide both sides by 12
14/3 = x
x=14/3
HELP FAST FAST FAST
IM GIVING BRAINLIEST!!!!
A trapezoid has an area of 13.5 inches. The bases are 3 inches and 6 inches. Determine the height of the trapezoid.
EXPLAIN THE PROCESS AND THE STEPS PLEASEEE
Answer:
h=3in
Step-by-step explanation:
A=a+b
2h
Solving forh
h=2A
a+b=2·13.5
3+6=3in
work out the area of this sem
Answer:
I’m not sure if this is free points or a question but the question is not clear
Step-by-step explanation:
Answer: Uhmm where is the problem?
Jacqueline drove 72 km on 6 L of gasoline. Which of the following equations can be used to find how far she can travel on a full tank of 50 L?
Answer:
600 km
Step-by-step explanation:
72 (km on 6 L of gasoline) / 6 (liters of gasoline) = 12 (km per liter)
50 (liters of gasoline) * 12 (km per liter) = 600 (km that Jacqueline can drive using 50L of gasoline)
I hope this helps :)
Answer:
600
Step-by-step explanation:
took the test
[tex]e + \frac{1}{8} = \frac{3}{8\\}[/tex]
Someone please help me answer this!!
please help !! find the missing sides
wirte an inequality to comepare the ratios 2/4 and 5/6
Madeline sells five roses on the first day, seven roses on the second day, ten on the third day, fourteen on the fourth day. If Madeline continues her selling pattern, how many roses will she sell on the tenth day? How many will she sell on the fifteenth day?
Answer:
124, I believe
Step-by-step explanation:
each day you're adding on the amount of the day,
5,7,10,14,19,25,32,40,49,59,70,82,95,109,124
days below
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
5 on day 1
5+2=7 day 2
7+3=10 day 3
and so on
Josh build a tower using blocks that linked together. I notice that he had 36 block in 3/8 of his tower. Exactly how many blocks were in this entire tower?
A. 96
B. 60
C. 12
D. 13 1/2