1
The coefficient of x2 in the expansion of 2x +1 by 3 whole square
Answer:
1 +6 x + 12 x 2 + 8x 3
Explanation:
We must use our knowledge of the binomial expansion:
Method 1:
We can use:
(
x
+
1
)
n
=
1
+
n
x
+
n
(
n
−
1
)
2
!
x
2
+
n
(
n
−
1
)
(
n
−
2
)
3
!
x
3
+
...
Substituting
n
=
3
and
x
for
2
x
⇒
(
2
x
+
1
)
3
=
1
+
(
3
⋅
2
x
)
+
3
⋅
2
2
!
⋅
(
2
x
)
2
+
3
⋅
2
⋅
1
3
!
⋅
(
2
x
)
3
=
1
+
6
x
+
12
x
2
+
8
x
3
Method 2:
We can use:
(
A
+
B
)
n
=
A
n
+
(
n
1
)
A
n
−
1
B
1
+
(
n
2
)
A
n
−
2
B
2
+
...
Letting
A
=
2
x
and
B
=
1
for this circumstance:
(
2
x
+
1
)
3
=
(
2
x
)
3
+
(
3
1
)
(
2
x
)
2
(
1
)
+
(
3
2
)
(
2
x
)
1
(
1
)
2
+
(
3
3
)
(
2
x
)
0
(
1
)
3
=
8
x
3
+
12
x
2
+
6
x
+
1
Step-by-step explanation:
1. Find the length of the rectangle below.
Answer:
Given - A rectangle whose area is 1 2/5 m^2
- length is 4/5 m
To find - Length of rectangle
Solution -
1 2/5 = 7/5 m^2
Let the length be X
Area of rectangle= Length × Breadth
7/5 = X × 4/5
7/5 × 5/4 = X
7/4 = X
Length of rectangle= 7/4
Answer:
ANSWER IS 15x20 Please make meh brainlist
(12x³+x²)-(18x³-3²+6)
Please please please please help ASAP I will give the brain thing if you have a correct answer + explain :)
Answer:
11
Step-by-step explanation:
every ratio is been multiplied for eleven si if we know this we can tell that
1 times 11= 11
Answer:
11
Step-by-step explanation:
Just times the things by 11, 5 times 11 is 55, 10 times 11 is 110, and 20 times 11 is 220, so 1 times 11 is 11 so 11 is the answer.
CAN I GET BRAINLLEST NOW!!!!!!!!!!!?????????????
PLEASE
(○’ω’○)⊙_⊙-_-||囧rz◑﹏◐(?_?)(T_T)O_o::>_<::^O^-_-z(ToT)o_O
Which property of operations can be used to rewrite the expression without the parentheses?
Answer:
The Commutative Properties of Addition and Multiplication ... in an addition expression can be grouped in different ways without changing the sum. ... Mathematicians often use parentheses to indicate which operation should be done ... Rewrite 7 + 2 + 8.5 – 3.5 in two different ways using the associative property of addition.
Step-by-step explanation:
I learned this and i still know it. I dont have a explanation
Which step could be used to solve x + 3.6 = negative 1.7 for x in one step? Select two options. Add 3.6 to both sides. Add Negative 3.6 to both sides. Add 1.7 to both sides. Add Negative 1.7 to both sides. Subtract 3.6 from both sides.
Answer:
Subtract 3.6 from both sides.
Step-by-step explanation:
Given
[tex]x + 3.6 = -1.7[/tex]
Required
Solve in one step
There are two ways to go about it.
1. Collect Like Terms
[tex]x + 3.6 = -1.7[/tex]
3.6 and -1.7 are like terms, so the equation becomes
[tex]x = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
2. Subtract 3.6 from both sides
[tex]x + 3.6 = -1.7[/tex]
This becomes
[tex]x + 3.6 - 3.6 = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
Hence, the last option answers the question.
Answer:
Option 2and 5 are correct.
Step-by-step explanation:
-Add -3.6 to both sides
-Subtract 3.6 from both sides
Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the given function?
y = 8x - 21 - 7
Answer:
The parent function is: y = x
First, here we have two types of transformations, and we could define them in a general way as:
if we start with a function f(x)
Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:
g(x) = A*f(x)
Vertical translation:
We can write a vertical translation of A units upwards as:
g(x) = f(x) + A
And a vertical translations of A units down can be written as:
g(x) = f(x) - A.
In this case, the transformations are:
first, a dilation of scale factor 8.
Then a translation down of 21 units
then another translation down of 7 units.
y = 8*X - 21 - 7
y = 8*x - 28.
As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28
Again, as this function is a linear equation there is no vertex.
What is the least common multiple of 2x^2 and 4x+12
Answer:
4 x ^2 ( x + 3 )
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
(-6+51)+(2-5i)-(1+61)
Answer:
-15 - 5 i
Step-by-step explanation:
Answer:
−15 − 5i
Step-by-step explanation:
The image below shows step-by-step on how to solve it.
Hope this helps! :)
find the missing number in the proportion. 2/3 = x/15
Hello' this is my last question can someone please help me
(please don't just put a random answer just to take my points)
Answer:
x²-3x=-10
Step-by-step explanation:
x²-3x+0=10
x²-3x=-10
What is the slope of the line that passes through the points
Answer:
The slope is -2
Step-by-step explanation:
(−4,7);(2,−5)
(x1,y1)=(−4,7)
(x2,y2)=(2,−5)
m= y2−y1 /x2−x1
−5−7 /2−4
−12 /6
−2
Solve: 9 + 11| + |-1|
Answer:
21
Step-by-step explanation:
9+11+|-1|
9+11+1
21
Answer: 21
Step-by-step explanation: the absolute value of any number will be positive so the absolute value of -1 is one. After that all you have to do it’s add 9 and 11 which is 20 + 1 which is 21
Hope this helped
Can somebody help me??
Answer:
65 miles
Step-by-step explanation:
Answer:
65MPH (or 65 miles)
Step-by-step explanation:
I used a proportion:
487.5MI/7.5HR = ?MI/1HR
(mi/hr = mi/hr)
cross multiply:
487.5 x 1 = 487.5
then divide:
487.5 divided by 7.5 =
65 miles
Hope this helps!
Bri <3
PLZZZZZZ BRAINLIESTTTTT
WILL GIVE BRAINLIEST
Which of the following represents a function
Answer:
C
Step-by-step explanation:
The table has 2 inputs that are the same (-1) but have different outputs (7 and 1). The list of coordinates also has 2 points with the same x - axis but different y values. For the graph you could use the vertical line test. If you put the line on -1 on the x-axis is goes through 2 points. The indicates that it is not a function.
Hope this helsp. Pls give brainliest.
What is the distance between points A and B? O1/3 O1/2 O 1 1/3 O1 1/2
Is this correct? I need help
Ava' s cell phone plan allows her to send up to 125 text messages per month if she sent 90 text so far what percent of her monthly message limit has she used
Answer:
90/125*100=9000/125
9000/125=72
72%
A photo of an ant in a science book is increased to 618% as large as the actual size. If the ant is 15 millimeter, what is the size of the ant in the photo?
Answer:
92.7?????
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPP
Answer:
23 or 22....
Step-by-step explanation:
because he got 3 questions wrong sooooo yeah... ya✋
Answer:
The student had a total of 25 questions on his test.
Step-by-step explanation:
Given that:
Number of questions answered correctly in the test = 20
Percentage scored in the test = 80%
Let,
x be the total number of questions on test.
We know that 80% of the test is 20 questions, therefore,
80% of x = 20
[tex]\frac{80}{100}x=20\\0.8x=20[/tex]
Dividing both sides by 0.8
[tex]\frac{0.8x}{0.8}=\frac{20}{0.8}\\x=25[/tex]
Hence,
The student had a total of 25 questions on his test.
т.N лежи на отсечката AB, така, че AN:NB=7:4, AN=22,4dm. Дължината на отсечката AB
Two communications companies offer calling plans. With Company X, it costs to connect and then for each minute. With Company Y, it costs to connect and then for each minute. Write and simplify an expression that represents how much more Company X charges, in cents, for n minutes.
Answer:
That is a hard question
Step-by-step explanation:
what is 1.117468769rounded two decimal places
What is -2(3x - 9) + 5x = -10
Answer:
x=28
Step-by-step explanation:
-2(3x-9)+5x =-10
now we times -2 to to the inside of the parenthese
giving us
-6x+18 +5x= -10
add like terms
add -6x and 5x
-1x+18=-10
now we add like terms of the constants
minus 18 on both sides
-1x=-28
now divide by -1
x = 28
Answer:
x = 28
Step-by-step explanation:
First, remove the parentheses by distributing -2.
-6x + 18 + 5x = 10
Next, collect the like terms.
-x + 18 = -10
Next, move the constant to the right-hand side and change its sign.
-x = -10 - 18
Next, calculate the difference
-x = -28
Lastly, change the signs on both sides of the equation.
x = 28
These are the steps to answer this equation.
Answer these two and I'll make as brainest.
Answer:
25x + 5 equals 130, x=5, (2) x= 6 10x=60 degrees
Step-by-step explanation:
When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.83 is added to an unknown whole number and 8 tenths to equal 37.63.
2
3
4
5
Answer:
4.
Step-by-step explanation:
32.83 + 0.8 = 33.63
37.63 - 33.63 = 4.
Answer:
The answer is the 3rd option/C, 4
Step-by-step explanation:
ME SMART
v2+4v-21=0 (solve by factoring)
Answer: (v + 7)(v -3)
Step-by-step explanation:
(v +7)(v -3)
v x v = v^2
v x -3 = -3v
7 x v = 7v
7 x -3 = -21
v^2 -3v +7v -21 = v^2 +4v -21 = 0
Answer:
The answer is (v - 3)(v + 7).
Step-by-step explanation:
First, you have to elaborate it :
v² + 4v - 21 = 0
v² - 3v + 7v - 21 = 0
Next, you have to collect like terms :
v(v - 3) + 7(v - 3) = 0
(v - 3)(v + 7) = 0
Tell me everything you know about Pythagorean Theorem. Some things to include, but not limited to: Why is it that in some examples you have to subtract the square of a leg from the hypotenuse? Can this be used on every triangle? When might someone use this in real life as an adult?
Answer: Check below
Step-by-step explanation:
Okay so the Pythagorean Theorem was made by some old guy and the formula is a^2+b^2=c^2. You ALWAYS have to subtract the leg of the triangle when your finding a leg. You squareroot the square of the two legs if your finding the hypotnuse. The Theorem can be used to find any side of the triangle ONLY IF its a right triangle. An adult might use it in real life like when your an architect trying to find how much material you should use to make something thats in the shape of a right triangle.
Ps. Sorry if there's a bunch of grammar mistakes since this is kinda rushed
Use____to isolate the variable
Answer:
inverse operation(s)
Step-by-step explanation: