Answers
Answer:
product is the result of multiplication or an expression that identifies factors to be multiplied..
The product of the given expression (7x²)(2x³ + 5)(x² - 4x - 9) is,
[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]
The product between expressions can be defined as the outcome or result obtained by multiplying two or more numbers, terms, or quantities together. It represents the combined value or the total when multiple factors are multiplied.
The given expression is,
(7x²)(2x³ + 5)(x² - 4x - 9)
Multiplying the first two expressions,
[tex](7 \times 2 x^{2+3} + 7\times 5x^2)(x^2 -4x -9)\\(14 x^5 + 35 x^2)(x^2 -4x -9)\\[/tex]
Now again multiplying these two expressions
[tex]14x^{5+2} - 4 \times 14 x^5 - 14 \times 9 x^5 + 35x^{2+2} - 35 \times 4x^{2+1} - 35 \times 9 x^2[/tex]
Simplifying this we get,
[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]
Hence,
The product of the given expression is,
[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex] .
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ4
Related Questions
Write the equation of the line that passes through (6,8 ) and (2,4).
Answers
Answer:
y = x + 2
Step-by-step explanation:
The slope of the given points (6, 8) and (2, 4) is m = 1.
The y-intercept found through the slope, m = 1, is b = 2.
So, m = 1 and b = 2, right?
Let's put this together into the formula y = mx + b, we'll get: y = x + 2
whats 1+(3x3)???? HELP I WILL GIVE BRAINLIEST !!!!
Answers
Answer:
[tex]1 + (3 \times 3) = 1 + 9 = 10 \\ thank \: you[/tex]
Answer:
its 10
Step-by-step explanation:
1+(3x3)
1+(9)
10
plz give brainliest im tryna level up
Is quadrilateral DEFG a parallelogram? Why or why not?
Question 2 options:
A)
Yes, because adjacent angles aren't supplementary.
B)
No, because adjacent angles aren't congruent.
C)
There isn't enough information.
D)
Yes, because opposite angles are congruent.
Answers
Answer:
D ig?
Step-by-step explanation:
Because opposite angles are equal in parallelogram
in a survey of 120 people it was found that 65 people like Messi and 60 like Ronaldo while 20 donot like both. by drawing Venn diagram find the number of people who like both Messi and Ronaldo
Answers
Answer:
15.
(P.S: Messi is the greatest footballer of all time) :)
To get the number of people who like both Messi and Ronaldo, you will add the two figures and the remain 20 that is not in the box minus x =120
suppose an object traveling in a straight line has a velocity function given by v(t)= t^2 -8t+ 15 km/hr. Find the displacement and distance traveled by the object from t=2 to t=4 hours.
Answers
v=t^2-8t+15
It has upper limit 4 and lower limit 2[tex]\boxed{\sf {\displaystyle{\int}^b_a}x^ndx=\left[\dfrac{x^{n+1}}{n+1}\right]^b_a}[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int}}vdt[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int^4_2}}t^2-8t+15[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-8\dfrac{t^2}{2}+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-4t^2+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{4^3}{3}-4(4)^2+15(4)\right)-\left(\dfrac{2^3}{3}-4(2)^2+15(2)\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-64+60\right)-\left(\dfrac{8}{3}-16+30\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-4\right)-\left(\dfrac{8}{3}+14\right)[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-4-\dfrac{8}{3}-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-\dfrac{8}{3}-4-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{46}{3}-18[/tex]
[tex]\\ \sf\longmapsto s=15.3-18[/tex]
Take it +ve[tex]\\ \sf\longmapsto s=|-2.7|[/tex]
[tex]\\ \sf\longmapsto s=2.7km[/tex]
Express 750 grams as a percentage of 3 kilograms
Answers
[tex]750[/tex] grams is [tex]25%[/tex][tex]%[/tex] percentage of [tex]3[/tex] kilograms.
PercentageA percentage is a number or ratio that represents a fraction of [tex]100[/tex].
How to find the percentage?[tex]\text{Percentage}=\dfrac{\text{actual value}}{\text{total value}}\times 100[/tex]
[tex]3[/tex] kilograms = [tex]3000[/tex] grams
So, the required percent = [tex]\frac{750}{3000}[/tex] × [tex]100[/tex] = 25
Thus, [tex]750[/tex] grams is [tex]25%[/tex][tex]%[/tex] percent of [tex]3[/tex] kilograms.
Learn more about percentage here- https://brainly.com/question/13450942
#SPJ2
What is the sum? 4(^5sqrt x^2y)+3(^5sqrt x^2y)
Answers
Answer:
[tex]4( \sqrt[5]{ {x}^{2} y} ) + 3( \sqrt[5]{ {x}^{2}y } ) \\ [/tex]
factorise out the 5th root of x²y :
[tex] = \sqrt[5]{ {x}^{2}y } (4 + 3) \\ = 7( \sqrt[5]{ {x}^{2} y} )[/tex]
Select the TRUE statement below regarding aggregate supply in the long and short run.
O if production is below the LRAS, it will eventually have to fall back.
In the long run, changes in price will affect output.
O In the short run, there is no relationship between price level and RGDP.
O The discovery of new resources can cause the LRAS curve to move.
Answers
C. ....................
Regarding aggregate supply in long and short run (C) is the correct option.
What is aggregate supply ?The whole supply of goods and services produced within an economy at a certain overall price in a given period is known as aggregate supply, also known as total output.
What is the TRUE statement below regarding aggregate supply in the long and short run ?
During short run there is no relationship between price level and RGDP.
The intersection of the aggregate demand and short-run aggregate supply curves determines real GDP and price level in the short run. However, keep in mind that in the near run, sticky pricing may impede the economy from attaining its natural level of employment and output.
Hence we can say that In the short run, there is no relationship between price level and RGDP , (c) option is the correct answer.
Learn more about the aggregate supply at
https://brainly.com/question/11889136
#SPJ2
A housepainter buys 40 gallon-size cans of paint for $920. Some of these are blue paint that cost $30 per gallon and the rest are white paint that cost $20 per gallon. How many gallons of white paint does the painter buy?
Answers
Answer:
28
Step-by-step explanation:
x=blue
y=white
x+y=40
30x+20y=920
30(x+y=40) ; 30x+30y=1200___[1]
30x+20y=920 ; 30x+20y=920___[2]
[1]-[2] : 30x+30y-30x-20y=1200-920
10y=280
y=28
painter buys 28 white gallons
Kelsey solved the following equation:
7x − one over two (8x + 2) = 6
Step Work Justification
1 7x − 4x − 1 = 6
2 3x − 1 = 6
3 3x = 7
4 x = 7 over 3
Which of the following has all of the correct justifications Kelsey used to solve this equation?
Question 8 options:
1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality
1. Distributive property 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality
Answers
9514 1404 393
Answer:
(a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Replacement of -1/2(8x +2) by -4x -1 is use of the distributive property, eliminating choices B and D.
In step 3, addition of 1 to both sides of the equation is use of the addition property of equality, eliminating choice C. This leaves only choice A.
_____
Additional comment
This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.
In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.
In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as addition, and adding negative numbers as subtraction.
Answer:1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
All the applicants chose at least one of the three countries Egypt, Ghana and South Africa. A total of 2417 applicants chose Egypt as their favorite destination; 3500 applicants chose Ghana or South Africa as their favored destination. Of those that chose Egypt, 1233 also chose Ghana. 1031 applicants chose Ghana and South Africa, while 2014 chose Egypt or South Africa but not Ghana. Only 565 applicants indicated their preference for Egypt and Ghana but not South Africa. If 1803 did not indicate Egypt as their preferred destination, obtain the following:
The total number of applicants assessed. (5 marks)
The number of applicants who chose each of the three destinations only. (3 marks)
The most popular of the three destinations. (2 marks)
Answers
Answer:
hard quiz
Step-by-step explanation:
HELP PLS!! D:
The net of a rectangular prism is shown below. What is the total surface area of this prism?
A. 112 cm²
B. 142 cm²
C. 105 cm²
D. 71 cm²
Answers
=========================================================
Explanation:
Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.
To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.
------------------------------
The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.
Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas
3*7 = 21 cm^25*7 = 35 cm^23*7 = 21 cm^25*7 = 35 cm^2I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.
The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15
Lastly, we'll add up the sub-areas to get the grand total
A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area
------------------------------
Another pathway to the answer:
If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions
L = 7 cmW = 5 cmH = 3 cmThe order of L,W,H doesn't really matter.
Then we can use the 3D block surface area formula like so
SA = 2*(LW + LH + WH)
SA = 2*(7*5 + 7*3 + 5*3)
SA = 2*(35 + 21 + 15)
SA = 2*71
SA = 142 cm^2 is the surface area
As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.
The total number of elements in the power set of a set A containing ‘n’ elements is
Answers
Step-by-step explanation:
Number of Elements in Power Set - For a given set S with n elements, number of elements in P(S) is 2^n. As each element has two possibilities (present or absent), possible subsets are 2x2x2.. n times = 2^n. Therefore, power set contains 2^n elements.
which statement below correctly describes the diagram
Answers
9514 1404 393
Answer:
(a) the diagram is incorrect
Step-by-step explanation:
There is no overlap between the sets of rational and irrational numbers. The diagram is incorrect.
I need help ASAP thanks!
Answers
The decimal for the first one is 0.4, and the fraction is 2/5.
The second one is also 0.4 and 2/5.
Yes, this means that both of these models are equal to each other. This is because Model 1 is equal to 4/10, while Model 2 is equivalent to 40/100. 4/10 is the same thing as 40/100, though. It's just a little bit more simplified, but the fully simplified answer would be 2/5.
So, therefore, the final answer is that both of these models are equal.
Anyways, I hope that this has helped you.
How many solutions are there to the equation below?
5x + 48 + 7 x = 12(x + 4)
A. 1
B. Infinitely many
C. 0
COM
Answers
A. 1
Step-by-step explanation:
5x + 48 + 7x = 12(x + 4)
12x + 48 = 12x + 48
x = 1
Find the measure of ∠2.
Answers
9514 1404 393
Answer:
(a) 103°
Step-by-step explanation:
The trapezoid is isosceles, so left-side angles are congruent to right-side angles. That is, ∠2≅∠3.
Each side of the trapezoid is a transversal between two parallel lines. The interior angles of the trapezoid are "consecutive interior angles", so are supplementary.
∠2 = ∠3 = 180° -77° = 103°
Solve UW. how do I get the answer?
Answers
Answer:
UW = 67
Step-by-step explanation:
UW = 6x - 35
VW = 4x - 20
UV = 19
So that means
4x - 20 + 19 = 6x - 35
4x - 1 = 6x - 35
-1 = 2x - 35
34 = 2x
x = 17
6(17) - 35
102 - 35 = 67
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
19 + ( 4x - 20 ) = 6x - 35
4x - 1 = 6x - 35
2x = 34
x = 17
UW = 6(17) - 35 = 67
Helppppppp pleaseeee
Answers
Solve (x - 2 < 5) ∩ (x + 7 > 6).
Ø
{x | x < -1 x < 7}
{x | -1 < x < 7}
Answers
x - 2 < 5 ⇒ x < 7
x + 7 > 6 ⇒ x > -1
Together, we have -1 < x < 7, which in set notation is
[tex]\left\{x \mid -1 < x < 7\right\}[/tex]
(third choice)
Which equation should be used to graph [tex]y=sec^{-1} (x)[/tex] on a calculator?
[tex]y = \frac{1}{sec(x)} \\y=\frac{1}{cos^{-1} (x)} \\y=sec(\frac{1}{x} )\\y=cos^{-1} (\frac{1}{x} )[/tex]
Answers
9514 1404 393
Answer:
(d) y = arccos(1/x)
Step-by-step explanation:
You are given y = arcsec(x), which means sec(y) = x = 1/cos(y). Then ...
cos(y) = 1/x
y = arccos(1/x) . . . . . matches choice D
An insurance company’s records indicate that the mean compensation paid to clients claiming on motor insurance is R10 800 with standard deviation R2 500. Suppose that 50 claims are made within one week. What is the probability that the mean compensation paid is less than R10 200?
Answers
Answer:
10800
Step-by-step explanation:
Any mathematician am giving brainliest for this question
Answers
9514 1404 393
Answer:
(x, y) = (1/2, 1)
Step-by-step explanation:
Subtract twice the second equation from the first to eliminate the x-variable.
(2/x +3/y) -2(1/x -4/y) = (7) -2(-2)
11/y = 11 . . . . . . . simplify
y = 1 . . . . . . . . multiply by y/11
__
Substituting into the second equation gives ...
1/x -4/1 = -2
1/x = 2 . . . . . . add 4
1/2 = x . . . . . . multiply by x/2
The solution is (x, y) = (1/2, 1).
_____
Additional comment
The attached graph seems to show that the graphs of the two equations also intersect at (x, y) = (0, 0). However, careful consideration of these equations leads to the conclusion that x=0 and y=0 are not in the domain of either equation. (Division by 0 is undefined.) So, the only solution is (x, y) = (1/2, 1).
If you were to multiply both equations by xy to eliminate fractions, you would, indeed, arrive at the conclusion that (x, y) = (0, 0) is a solution. As we noted, that "solution" is extraneous. Whenever you multiply an equation by an expression that can have the value 0, you need to be careful to exclude any "solution" that makes that expression 0.
A sample of single celled marine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 600,000 cells. Calculate the per capita rate of increase (r) for the population.
Answers
9514 1404 393
Answer:
r ≈ 19.6% per day
Step-by-step explanation:
The growth of the population can be modeled by ...
P = P0 × (1 +r)^t
where P0 is the initial population, r is the growth rate (per day), and t is the number of days. Using the given numbers, we can find r to be ...
600,000 = 100,000 × (1 +r)^10
6^(1/10) = 1 +r
r = 6^0.1 -1 ≈ 0.196231
The growth rate per day is about 19.6%.
At a grocery store, you want to buy 4 1/10 lb of turkey. What decimal should the digital scale show? The digital scale should show .
Answers
This is because the fraction 1/10 turns into 0.1
Note that in 0.1, the "1" is in the tenths place to represent "one tenth".
HELPP
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
Answers
Answer:
Given [tex]f(x)=2x^3+4[/tex], the average rate of change of [tex]f[/tex] on the interval [tex][4,6][/tex] is [tex]152[/tex]
Step-by-step explanation:
Applying the average rate of change formula, we find[tex]\frac{f(6)-f(4)}{6-4}=\frac{2\cdot6^3+4-2\cdot4^3-4}2=\frac{432-128}2=\frac{304}2=152[/tex]
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Water flows out of a hose at a constant rate. After 2 1/3 minutes, 9 4/5 gallons of water have come out of the hose. At what rate, in gallons per minute, is water flowing out of the hose?
Answers
Time taken: 2[tex]\frac{1}{3}[/tex] minutes = 7/3 minutes
Water released: 9[tex]\frac{4}{5}[/tex] gallons = 49/5 gallons
Rate of water flowing out:
Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)
plugging the given values
Rate = [tex]\frac{\frac{49}{5} }{\frac{7}{3} }[/tex] = [tex]\frac{49}{5} * \frac{3}{7}[/tex]
Rate = 21/5 = 4.2 gallons/minute
Answer:
Time taken: 2\frac{1}{3}
3
1
minutes = 7/3 minutes
Water released: 9\frac{4}{5}
5
4
gallons = 49/5 gallons
Rate of water flowing out:
Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)
plugging the given values
Rate = \frac{\frac{49}{5} }{\frac{7}{3} }
3
7
5
49
= \frac{49}{5} * \frac{3}{7}
5
49
∗
7
3
Rate = 21/5 = 4.2 gallons/minute
Step-by-step explanation:
i hope it helps
Ernie writes this problem:
525 divided by 1500
Which expressions represent Ernie's problem?
Select each correct answer.
1500|525
525
____
1500
525Divied by 1500
525|1500
1500
____
525
Answers
Answer:
Pretty sure it would be 525/1500
Step-by-step explanation:
Read the problem outloud and you would hear that 525 is divided BY 1500, so 525 goes on top of the line since it is being divided by 1500. hope this helps!
Answer:
525 ÷ 1500
1500/525
525
-------
1500
are the correct answers.
Step-by-step explanation:
please help me ill give all points
Answers
Answer:
you go this! i ant expain but its mostly false and rue but sorry
Step-by-step explanation:
Suppose carpet for a 12ft by 14ft room costs $400 find the cost to carpet a room 48ft by 56ft
Answers
Answer:
[tex]\$\ 6400[/tex]
Step-by-step explanation:
1. Approach
The easiest way to solve this problem is to find the area of the first room with the dimensions of (12ft) by (14ft). Then one will divide the cost of carpeting the room by the area of the room, this will yield the price of carpeting per square foot. After finding the price of carpeting per square foot, one will find the area of the second room, with the dimensions of (48ft) by (56ft). Finally, one will multiply the price per square foot of carpeting by the area of the second room to find the price for carpeting the second room.
2. Find the area of the first room
Assume that the first room is a rectangle. the following formula can be used to find the area of a rectangle,
[tex](length)(width)=Area[/tex]
The following are the dimensions of the given room,
[tex]length = 14\\width = 12[/tex]
Substitute into the formula to find the area and simplify to solve,
[tex](length)(width)=Area[/tex]
[tex](14)(12)=Area_1[/tex]
[tex]168=Area_1[/tex]
3. Find the price of carpeting per square foot
To find the price of carpeting per square foot, divide the total price for carpeting the first room by the area of the first room.
[tex]\frac{carpeting\ price_1}{area_1}[/tex]
[tex]=\frac{400}{168}[/tex]
Simplify,
[tex]=\frac{400}{168}[/tex]
[tex]=\frac{50}{21}[/tex]
4. FInd the area of the second room
Assume that the second room is also a rectangle. Use a similar strategy to find the area of this room as used for the area of the first room.
[tex](length)(width)=Area[/tex]
[tex]length = 48\\width = 56[/tex]
Substitute and simplify to sovle,
[tex](length)(width)=Area[/tex]
[tex](48)(56)=Area_2[/tex]
[tex]2688=Area_2[/tex]
5. Find the price for carpeting the room
Multiply the area of the room by the price for carpeting per square foot to find the price for carpeting the second room.
[tex](Area_2)*(carpeting\ price)[/tex]
[tex]2688=Area_2[/tex]
[tex]\frac{50}{21}=carpeting\ price[/tex]
[tex](Area_2)*(carpeting\ price)[/tex]
[tex]=(2688)*(\frac{50}{21})[/tex]
Simplify to solve,
[tex]=(2688)*(\frac{50}{21})[/tex]
[tex]=(2688)*(\frac{50}{21})[/tex]
[tex]=6400[/tex]