Help please, I could not figure this problem because the answer was -108 but I only solved it to -244. The problem is “Find coefficient of x in expansion of (x-3)^4”
Answer:
You already know the answer is -108
Step-by-step explanation:
There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us
x^2 - 6x +9
Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So
-54x + -54x is the -108x term you are interested in.
PLEASE HELP QUESTION IN PICTURE
Kennyhas$893inasavingsaccount.The interest rate is 8 1/5%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30[/tex]
Answer:
$431.30(approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
what percent of 81 is 51
Answer:
62.96%
Step-by-step explanation:
do this
51/81 ×100%
Answer:62.953%
Step-by-step explanation:
81 * (%) = 51
% = 51 / 81
% = 62.953
1. The teacher assigns homework after 7/10
of the lessons
A) unlikely
B) likely
C) certain
D) equally likely
Answer:
B) Likely
Step-by-step explanation:
Unlikely = < 50%
Likely = > 50%
Certain = 100%
Equally likely = 50%
What is the equation of the line in point - slope form with slope 3/4and passes through the point (5, -8)?
Which equation choice could represent the graph shown below?
The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
What is the value of a?
What is the value of b?
What is the value of c?
Answers:
a = 1
b = 14
c = 65
===========================================================
Explanation:
Let's focus on the root x = -7+4i
Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.
x = -7+4i
x+7 = 4i
(x+7)^2 = (4i)^2
(x+7)^2 = 16i^2
(x+7)^2 = 16(-1)
(x+7)^2 = -16
(x+7)^2+16 = 0
If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.
Expand out that expression to get it into standard form
(x+7)^2+16
(x+7)(x+7)+16
x^2+7x+7x+49+16
x^2+14x+65
The equation is now in y = ax^2+bx+c form
a = 1
b = 14
c = 65
If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.
The prices of some houses in a neighborhood are shown below: House Price A $120,000 B $130,000 C $140,000 D $150,000 E $1,110,000 Based on the data, should the mean or the median be used to make an inference about the price of the houses in the neighborhood?
Answer:
The mean
Step-by-step explanation:
The mean would allow you to make an average aka the inference about the price of houses whilst if you take the median, you're just taking the middle number from a list of numbers and not the average.
Answer: Median
Step-by-step explanation:
Median, because there is an outlier that affects the mean.
Step-by-step explanation:
The outlier is 1,110,000
As you have learned in the lesson, outliers affect means, meaning that you should not use them.
Hope this helped! ❤
what is 5 over 4 in math
Answer:
An improper fraction
Step-by-step explanation:
In improper fraction is when the numerator (top number) is greater than or equal to the denominator (bottom number)
Question Is In The Picture
Answer:
30
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2 = c^2
this theorem only works on triangles with an angle of 90 degrees or a right triangle.
18^2 + 24^2 = 900
the square root of 900 is 30
I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24
Answer is 30
Use the correct order of operations to solve the problem below.
26 - (5 + 4) - 20 ÷ 4
Answer:
15
Step-by-step explanation:
To solve this question we will be using BIDMAS.
This stands for, Brackets, indices, division, multiplication, addition and subtraction.
As brackets is first, we need to do 5+4, to get 9.
This gives us 26-9-20 divide 4
Next is division so we do 20 divide by 4, to get 5.
This gives us 29-9-5
So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
1
Answer:
The gear ratio is 36 to 12 however it can be simplified to a 6-2 gear ratio.
Answer:
answer was 3
Step-by-step explanation:
just did the test
What is the answer I’ll rate you 5
The equation of the line is [tex]y=8[/tex]
To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]
[tex]y-y_0=m(x-x_0)[/tex]
For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]
substituting the required values, we have
[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]
The required equation is [tex]y=8[/tex]
Learn more here: https://brainly.com/question/1690609
At Hunter's Arcade, 2/3 of the games are racing games. Among the racing games, 3/5 are motorcycle-racing games. What fraction of the games at Hunter's Arcade are motorcycle-racing games?
Please help I’ll give brainliest ASAP
Answer:
x = 10, theta = 30 degrees
Step-by-step explanation:
i. 6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.
You could also solve it with the law of sines:
sin(90)/12 = sin(x)/6
Multiply each side by 6
6 * sin(90)/12 = sin(x)
0.5 = sin(x)
x = 30 degrees
26 30 45 43 26 14 28 33 56 29 what is the medain of this data set
Answer:
26isthemedian
Step-by-step explanation:
A stairway handrail has a rise of 12 feet and a run of 24 feet. What is the slope of the handrail?
Answer:
1/2
Step-by-step explanation:
12 / 24 = 1/2
Answer:
12/24
Step-by-step explanation:
use the stander rise over run since the rise is 12 it goes over the run which is 24
4. Which table shows a constant rate of
change?
A
Hours
2
7
14
Earnings ($)
40
60
80
B.
Hours
2
7
14.
Earnings ($)
40
140
280
C
Hours
2
7
14
Earnings ($)
40
70
140
Answer:
A 16. B 20). C 40 ... 40' 60'| 80. 20 20 20. 2 7 14a. 40 140|| 280'|. BX Hours. Earnings ($).
Step-by-step explanation:
A knife is 3x the cost of a spoon9 spoons and 12 knives cost £82.80Work out the cost of 1 knife
Add the polynomials: x2 + 2x + 1 and y2 + 2x + 3.
Therefore, the above answer is correct.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].
What is a polynomial equation?A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.
Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]
Adding both of these two equations, then we get
[tex]x^2+2x+1+y^2+2x+3[/tex]
Group like terms
[tex]=x^2+y^2+2x+2x+3+1[/tex]
Add similar elements [tex]x^2+y^2+4x+4[/tex]
Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].
Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].
To learn more about polynomial equations refer to:
https://brainly.com/question/26240147
#SPJ2
Fill in the table. What is the distance that David traveled going to his friend’s house and returning home?
Answer:12 and 12 hope this helps :)
Step-by-step explanation:
Answer:
mark her brialyist i cant spell lol
Step-by-step explanation:
Confused on both 9 and 10 please help
The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
Congruence Criteria for a Parallelogram's two triangles is:
ASA
HL
AAS
SSS
Answer:
ASA
Step-by-step explanation:
two angles are the same and one side is the same
Hello could someone help me will name brainliest. No links please
Please help me !!
Nine more than eight times a number (x) is at least forty-nine
What’s the inequality & the solution to the inequality is ..
Answer:
x = 5.
Sorry if you didn't mean find x and I have no idea about the inequality stuff.
Step-by-step explanation:
We can do a reverse equation in steps. So the first thing we'll do is..
49 - 9 which equals 40.
Then we should do a division since the opposite of multiplication is division.
40 divided by 8 = 5.
To check that we do 5 x 8 = 40 + 9.
Hope that helps. x
Answer:
See below
Step-by-step explanation:
9 + 8x [tex]\geq[/tex] 49
Subtract 9 from both sides
8x [tex]\geq[/tex] 40
Divide by 8
x [tex]\geq[/tex] 5
If f(x) = 5^x + 2x and g(x)= 3x-6, find (f + g) (x)
Step-by-step explanation:
f(x) = 5^x + 2x and g(x)= 3x-6
(f + g) (x)
5^x + 2x + 3x-6
5^x + 5x -6
Solve the quadratic for x. Select all that apply.
x? + 7x - 30 = 0
O A. X=3
O B. X=-6
C. X=-10
D. X=-3
O E.X=5
O F.x=6
A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.
Answer:
11 miles per hr because 10 miles took 50 minutes so add 1 mile and it is 1hr. Which is 11 miles per hr