Hi. ITS URGENT.
I need help with No 5 and 7 (see image)
Please show workings
Answers
Answer:
5. a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Step-by-step explanation:
(a+b)^3
= (a+b) (a+b) (a+b)
={(a+b) (a+b)} (a+b)
={a(a+b) + b(a+b)} (a+b)
=(a^2 + ab + ab + b^2) (a+b)
=(a^2 + b^2 + 2ab) (a+b)
=a^2(a+b) + b^2(a+b) + 2ab(a+b)
=a^3 + a^2b + ab^2 + b^3 + 2a^2b + 2ab^2
=a^3 + b^3 + 3a^2b + 3ab^2
=a^3 + b^3 + 3ab(a+b)
(a+b)^3 = a^3 + b^3 + 3ab(a+b)
(a+b)^3 - 3ab(a+b) = a^3 + b^3
a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Hope this helped!
Answer:
I am just giving the expansion, so that you can substitute the values and solve it
Related Questions
Which trigonometric identity is given by the formula adjacent side/opposite side?
A. tan
B. cot
C. sin
D. cos
Answers
Answer:
cot= adjacent side/opposite side
Option B is correct.
Step-by-step explanation:
We need to identify trigonometric identity which is given by the formula adjacent side/opposite side
The trigonometric identity for tan is
tan= opposite side/adjacent side
But We are given adjacent side/opposite side
Since cot is inverse of tan so, formula of cot is:
cot= adjacent side/opposite side
Option B is correct.
Y=4x+2
A) Identify the slope (4,-2)
B)Identify the y-intercept:-2
Answers
Answer:
4 - slope
2 - y - intercept
Step-by-step explanation:
The equation is in slope-intercept form.
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The '4' is the slope of the equation.
[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]
The '2' is the y-intercept.
[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]
Hope this helps.
A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed?
Answers
Step-by-step explanation:
Let the width be = w
The length will be = w+9
And height h = 3 inches ( side of square =3 in)
Volume = l x w x h
According to question
[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]
So, this equation indicates that the volume of the box is 80 in.
Vivian scored 8 out of 10 on a quiz. Ramona scored 3 out of 4. Did Vivian and Ramona get equivalent scores? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
8/10 can be simplified to become 3/4
Help please it’s due in a bit
Answers
Answer:
Options A, C and D are correct ones.
Step-by-step explanation:
Options A, C and D are correct.
One spring, a group of students measured rainfall totals at their school. chart shows how many inches of rain the students measured each month. How many more inchés did it rain in May than in April? MONTH RAINFALL March April May 1.7 2.6 3.8
Answers
Answer:
1.2
Step-by-step explanation:
apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this
As a part of your project studying tipping behavior, you ask people the question, How much should you tip a grocery bagger for carrying five bags to your car? The Grocery Bagger Surveys tab of this spreadsheet gives the responses to this question from 10 independent surveys, each with 50 respondents. The respondents were asked to round to the nearest quarter, since few people tip with pennies, nickels, and dimes. In the spreadsheet, you can calculate the mean, or average, of data using the Average function: Select the cell in which you want the mean to appear. Type =AVERAGE( in the formula bar. Select all the cells containing the values for which you want to find the average, and then press Enter. The average of the values in the cells will be calculated and displayed in the cell in which you entered the formula. Question 1 What is the sample mean of the responses in survey 1?
Answers
Answer:
The sample mean for survey 1 is $1.69.
Step-by-step explanation:
I just did this on edmentum plato.
if f(x)=4^x+4, then calculate f(0)
Answers
ok so F (0) should be equaled to = 0
Answer:
f(0) = 5
Step-by-step explanation:
Note that [tex]a^{0}[/tex] = 4
To calculate f(0), substitute x = 0 into f(x), that is
f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5
3 mi
4 mi
What is the length of the hypotenuse?
miles
Submit
Answers
figure is made from a part of a square and a part of a circle.
$
This figure
10
a) What is the perimeter of this
figure, to the nearest unit?
Answers
Answer:
Step-by-step explanation:
Answer:38
Step-by-step explanation:
Identify the terms, coefficients, and constants of the expression. a^2 + 2 + 7b
Answers
Step-by-step explanation:
constant=7
coefficient=2
Shaniya owns a company that rents cars called Car Go. The following bar graph summarizes the type of
vehicles rented last week.
Answers
Answer:
The probability of a van getting rented next is 25%.
Step-by-step explanation:
The graph is attachedProbability Formula:
number of favorable outcomes / the total number of outcomesGiven Information:
Number of cars sold : 8Number of vans sold : 5Number of trucks sold : 4Number of motorcycles sold : 3Calculations:
number of favorable outcomes = 5 (number of vans sold)total number of outcomes = 20 (8 + 5 + 4 + 3)number of favorable outcomes / the total number of outcomes5/20 = 1/4Probability of a van getting rented: 1/4 or 25%
If I saved up $10 every 2 weeks, in a year I would have saved up $260. But, if I had saved up $20 per month, I would only have saved $240. Why do they have different totals?
Answers
Substitution method
3x+2y=15
y=6x
Answers
3x + 2(6x) = 15
3x + 12x = 15
15x = 15
X = 1
Answer:
x = 1
Step-by-step explanation:
3x +2y = 15
y = 6x
Substitute y for 6x in 3x +2y = 15!
3x + 2(6x) = 15
3x + 12x = 15
Combine like terms
15x = 15
Divide both sides by 15
15x = 15
x = 1
Brainliest is much appreciated!
so its 1 am for me and I'm doing school work cause I over slept and fell 2 days behind is this anybody else
Answers
Answer:
me!
Step-by-step explanation:
pls help me
(answer choices)
a: 134
b:46
c:136
d:43
Answers
Answer:
i wanna say its 136 but im not completely sure
I hope this helps!!!
help please! Thanks!
Answers
1/3 * 2= 2/ 3
Answer:
2/3
Step-by-step explanation:
the equation is [tex]\frac{\frac{1}{y}}{\frac{1}{x}}[/tex], and when the values of x and y are substituted in, you get the fraction 1/3 over the fraction 1/2. when simplified, this is 2/3.
Write the missing number and name the
property
(733X5)×2= 733 x 5
Answers
Answer:
the missing number is 2
Step-by-step explanation:
Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)
Right side is 733*5. Rewriting the expression this way makes it obvious that the missing number is 2.
Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation EFGH
Answers
Answer:
Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3
Step-by-step explanation:
The coordinates of the quadrilateral ABCD are;
A(0, 6), B(6, 6), C(9, 0), D(0, 0)
From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3
La embotelladora La Pingüica llena de refresco cierta
cantidad de botellas por día. Calcula el número de
botellas llenadas sabiendo que la veinticincoava
parte del cuádruple de ellas menos 5 000 que se
rechazaron equivale a 3 640 de los envases. en lengua algebraico
Answers
Answer:
No hablo espanol.
puedes escribir en ingles
Step-by-step explanation:
How do I solve this and check all the solutions?
Answers
Answer:
it is -6
Step-by-step explanation:
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Answers
1. Parallelogram WXYZ is shown on the coordinate plane ect...
Added photo plz help!!
Answers
Answer:
Step-by-step explanation:
12.718 units
Step-by-step explanation:
The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).
So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}
Now, length of WX = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123
And, length of XY = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236
Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)
How would I Graph y = -3/2x - 3
Answers
Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left
Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points
Step-by-step explanation:
Please I will give brainylest if the answer is correct
Answers
Answer:
a^n +3
Step-by-step explanation:
simpify: a^na^3:\quad a^{n+3}
a^{n+3}
PLEASE HELP!!!!
2. Toss 4 times Imagine tossing a fair coin 4 times . (a ) Give a probability model for this chance process . (b) Define event B as getting exactly three tails . Find P(B)
Answers
Answer:
If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.
i didnt really understand the question but hope this helps
According to the information given, we have that:
a) A binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.b) P(B) = 0.25.For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.Item a:
The coin is tossed 4 times, hence [tex]n = 4[/tex].It is a fair coin, hence equally as likely to be heads and tails, which means that [tex]p = 0.5[/tex].Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.
Item b:
P(B) is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
Hence, P(B) = 0.25.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
the sum of two numbers is 16. their difference is 1. what is the product of the two numbers
Answers
Answer:
The product of the numbers is 63.75
Step-by-step explanation:
Let the numbers be x and y
x + y = 16
x -y = 1
Adding both together
2x = 17
x = 17/2
x = 8.5
Recall
x -y = 1
8.5 - y = 1
y = 8.5 - 1 = 7.5
Their product is xy
so we have 7.5 * 8.5 = 63.75
There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?
Answers
Answer:
girls: 16
boys: 40
Step-by-step explanation:
girls : boys
2 : 5
let the total number of people be (2+5)x.
2x + 5x = 56
7x = 56
x = 8
therefore, no. of girls = 2 x 8 = 16
no. of boys = 5 x 8 = 40
This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
A belt and a wallet cost $42.7 belts and 4 wallets cost $213 find the cost of each item
Answers
Answer:
A belt costs $15 and a wallet costs $27.
Step-by-step explanation:
Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:
x + y = $42
7x + 4y = $213
The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:
-4x - 4y = -168
7x + 4y = 213
Now, we simply add these two equations up:
-4x - 4y + 7x + 4y = -168 + 213
3x = 45
x = $15
Now, we plug in x into any of the two starting equations to find y:
x+y=42
15 + y = 42
y = $27
Write the equation of the line fully simplified slope-intercept form
Answers
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y = (5/2)x - 5
Step-by-step explanation:
SLOPE:
The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2
Y-INTERCEPT:
Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.
Therefore, the equation y = (5/2)x - 5