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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hello please help 50 points and brainliest!!!
Answer:
sorry the image is not clear
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
Answer:
[tex]y-10=-2(x-7)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point
Plug in the slope
[tex]y-y_1=-2(x-x_1)[/tex]
Plug in the given point (7,10)
[tex]y-10=-2(x-7)[/tex]
I hope this helps!
Jake cuts out five-pointed stars. They are different sizes, but they
all have the same shape. The side lengths within each star are the same.
To find the perimeter of each star, Jake uses the expression
12£ + ½ - 4€ - 8.5 + 2€ + 8, where e is the side length of the star.
Find the perimeter of a star with side length 6 inches. :( pls help me
If f(x) = x + 2x - 3, what is the value of f(1 + 2)?
Answer:
6
Explanation:
substituting- f(x)= (1+2) + 2(1+2) -3
3 + 2(3)-3
3+6-3
=6
HOPE IT HELPS
What is (10x+30)+(7x+14) ?
Answer:
17x + 44
Step-by-step explanation:
Start by combining like-terms: 10x + 7x = 17x ; 30 + 14 = 44
Left with: 17x + 44
Answer:
Remove the parentheses
10x + 30 + 7x + 14
Add the like terms
17x + 44
Solution
17x + 44
Step-by-step explanation:
Please mark the Brainliest
please help asap !!! In the graph shown above, which line has a slope value less than −2
Answer: Line J
A is the answer
can somebody help me?
Answer:
D
Step-by-step explanation:
How many solutions does the following equation have 6x-4=-4+6x
Help on this question pleaseeeeeeee
Step-by-step explanation:
F-27=19
F= 19+27
F=46
I hope it is helpful have a nice day
Answer:
answer is 46
Step-by-step explanation:
Solution for f-27=19 equation:
Simplifying
f + -27 = 19
Reorder the terms:
-27 + f = 19
Solving
-27 + f = 19
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + f = 19 + 27
Combine like terms: -27 + 27 = 0
0 + f = 19 + 27
f = 19 + 27
Combine like terms: 19 + 27 = 46
f = 46
Simplifying
f = 46
Which value for x makes the sentence true?
2/3x +5=7
A.
-4
B.
18
C. 8
D.
3
Answer:
Answer is D: 3
Step-by-step explanation:
A theater owner wants to provide enough seating for 928 people. The main floor has 25 rows of 22 seats in each row. If the balcony has 21 rows, how many seats must be in each row to satisfy the owner’s seating requirements?
Answer:
18 seats in each row
Step-by-step explanation:
25 x 22 = 550
928 - 550 = 378
378 / 21 = 18
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1850, 2000). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 18 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.
Answer:
The sample mean is of 1925 calories.
The margin of error is of 75 calories.
The sample standard deviation is of 109.7992 calories.
Step-by-step explanation:
Sample mean:
The sample mean is the mean value of the two bounds of the confidence interval. So
[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]
The sample mean is of 1925 calories.
The margin of error
Difference between the bounds and the sample mean. So
2000 - 1925 = 1925 - 1850 = 75 calories.
The margin of error is of 75 calories.
Sample standard deviation:
Here, I am going to expand on the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Since [tex]M = 75, T = 2.898, n = 18[/tex]
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]
[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]
[tex]s = 109.7992[/tex]
The sample standard deviation is of 109.7992 calories.
Please Help, what is the answer
Answer:
The correct option is (2).
Step-by-step explanation:
We need to find the value of the given expression i.e.
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]
We can calculate it as follows :
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]
So, the final answer is x⁶. The correct option is (2).
y-2=-5(x-2) slope intercept form
Answer:
y = -5x + 12
Step-by-step explanation:
slope intercept form is where you simplify it and get the y by itself, so:
[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]
Need help fast please
Answer:
The answer for the first one is 1/f3
the second one is b-5 i think
third one is 8k^5/m4
last one is -9
hope this helped
Step-by-step explanation:
Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes
Answer:
29 1/31 minutes
Simplify the expression:
2n + 10(9 + 4n)
Answer:
42n+90
Step-by-step explanation:
what do you understand by resultant of a force
Answer:
When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.
Step-by-step explanation:
ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500
What is the perimeter of the shape?
40 feet
43 feet
51 feet
67 feet
Answer:
201
Step-by-step explanation:
40+43+51+67=201
Answer:
its 40
Step-by-step explanation:
Which table represents the statement "A computer repairman makes $25 per hour"?
Answer:
Table number 3
Step-by-step explanation:
25+25=50
50+25=75
Answer:
C
Step-by-step explanation:
For every 1 hour(h) 25 dollars(d) gets added. You can multiply 25 with however many hours you need to get the answer.
example: 4 hours would be 100 because 25×4=100
50 apples cost $25. How much would 75 apples cost?
Answer:
37.5
Step-by-step explanation:
If 50 apples cost 25 then all you need to do is 25 x 1.5 = 37.5
And we know this is correct because 25 divided by 2 is 12.5.
so 12.5 is how much for 25 apples and if you multiply 25 times 3 it is equal to 75 so you need to mutliply 12.5 times 3.
12.5 x 3 = 37.5
two packages of rice cost the same amount. Which is the better buy? 12 ounce or 400 grams
Answer:
400 grams
Step-by-step explanation:
12ounce= 340.19 grams approximately
So,its best to buy the package that weighs 400 grams
A boy is flying a kite and has let out 300 feet of string. He notices that the angle the string makes with the ground is 38 degrees. How high over the ground is the kite?
Answer:
height = 184.7 feet
Step-by-step explanation:
sin 38 = height/300
0.6157 = height/300
height = 184.7 feet
Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.
3x=18
x= 6
6 dollars in pocket
Answer:
32+s=55
Step-by-step explanation:
Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.
can you solve these please and show your work
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12 x 9 (12 on the top and bottom and 9 on the sides)
Step-by-step explanation:
100 km = 2 units, or 2 boxes
450 x 2/100 = 900/100 = 9
(not sure if this would help or not)
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Answer:
18 units square
Step-by-step explanation:
Given
The attached trapezium
Required
Determine the area
From the attachment, the height, h is:
[tex]h = 3\ units[/tex]
And parallel sides are:
[tex]s_1 = 3[/tex]
[tex]s_2 = 9[/tex]
So, the area is calculated as:
[tex]Area = \frac{1}{2}(s_1 + s_2) * h[/tex]
[tex]Area = \frac{1}{2}(3 + 9) * 3[/tex]
[tex]Area = \frac{1}{2} * 12 * 3[/tex]
[tex]Area = \frac{36}{2}[/tex]
[tex]Area = 18[/tex]
Using the provided measures determine the measure of angle K.
A)30.5°
B)34.90
C)41.2°
D)58.0°
Answer:
B. 34.90°
Step-by-step explanation:
✔️First, find GF using Trigonometric function:
Reference angle = 58°
Adjacent length = GF
Hypotenuse = 6 cm
Apply CAH, thus:
Cos 58 = Adj/Hyp
Cos 58 = GF/6
GF = 6*Cos 58
GF = 3.17951558 ≈ 3.18 cm
✔️Find angle K using the Sine Rule:
[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]
Substitute
[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]
Multiply both sides by 3.18
[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]
[tex] sin(K) = 0.5716 [/tex]
[tex] K = sin^{-1}(0.5716) [/tex]
K = 34.8618741° ≈ 34.90°
A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in the table. Confirm that the relationship is linear and give the constant rate of change and the initial value. Write it in the form of y=mx+b. *
Answer:
i do not know that one
Step-by-step explanation:
I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished