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:
y=2x-6
slope?
y- intercept?
Answer:
The slope is 2/1 and the y-intercept is -6.
Step-by-step explanation:
With the y=mx+b formula, m is the slope and b is the intercept.
Answer: -6
Step-by-step explanation:
two angles from a linear pair. the measure of one angle is 2/3
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?
Step-by-step explanation:
Since X : Y = 1 : 2, X = 0.5Y.
Since Y : Z = 2 : 5, Z = 2.5Y.
We have X + Y + Z = 4Y = 40. Hence Y = 10.
[tex]y=10[/tex]
Ratio:A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4) (or 4:7).A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.Solution -
Given -
[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]
To find - [tex]y[/tex]
Since,
[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]
Therefore, [tex]y=10[/tex].
Know more about the Ratios here:
https://brainly.com/question/2328454
#SPJ2
Need help thank you very much
Answer:
The answer to the question provided is
[tex] \frac{5}{24} [/tex]
Answer:
5/24
Step-by-step explanation:
0.21 is the decimal form
In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?
Given:
Consider the below figure attached with this question.
[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,
[tex]m\angle 3=m\angle 4[/tex]
[tex](x+30)^\circ=(2x-80)^\circ[/tex]
[tex]x+30=2x-80[/tex]
[tex]x-2x=-30-80[/tex]
[tex]-x=-110[/tex]
[tex]x=110[/tex]
Now,
[tex]m\angle 3=(110+30)^\circ[/tex]
[tex]m\angle 3=140^\circ[/tex]
Therefore, the measure of angle 3 is 140 degrees.
You draw one card from a standard 52-card
deck. In how many ways could the card be a
face card or a red card?
Answer:
23%
Step-by-step explanation:
There are 52 cards in a deck… 12 of these are Face Cards (the J - Q - K of all four suits). The probability of getting one of these is therefore 12 out of 52 — or 12/52, which is 23%.
A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.
Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.
PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?
Store A:
Store B:
Store C:
Store D:
Answer:
Store A:
✔ $1.98 per loaf
Store B:
✔ $1.95 per loaf
Store C:
✔ $2.01 per loaf
Store D:
✔ $2.02 per loaf
Step-by-step explanation:
2. If 5x + 8 = 4, then 3x = ?
please answer guys
Answer:
3x = -2 2/5 or -2.4
Step-by-step explanation:
5x + 8 = 4
5x = 4 - 8
5x = -4
x = -4/5
3x = y If x = -4/5
3 * -4/5 = y
-12/5 = y
-2 2/5 = y
true of false? the slope of thia equation is zero
y=x+5
Answer:
false
Step-by-step explanation:
no solution
I did it on a graph and I think its true?
A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many months has he been a member?
Answer:
HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(
Step-by-step explanation:
A school district is planning on buying new desks for its classrooms. Each secondary classroom is to have 5 more desks than an elementary classroom. For 20 elementary classrooms and 25 secondary classrooms, a total of 1,115 desks are needed.
How many desks are to be in each secondary classroom?
Answer:
27
Step-by-step explanation:
The distance from Annandale, Virginia to New York City, NY is approximately 410 kilometers (km). Find the distance in miles. SHOW WORK!
I NEED HELP PLEASE ANYONEEEEEE
First, find the converting ratio for kilometers to miles, which is
1km = 1.61 miles.
Then, divide 410 on the side for miles on the ratio.
410km=254.67miles
Therefore, 410 km is equal to 254.67 miles.
How do I solve this problem?
Answer:
4
Step-by-step explanation:
17-5=12/3=4 so yeah that is all you need to know
Solve the system of equations y = -2x - 9 and -x + 3y = 8 using the substitution method.
Answer: (-5,1)
Step-by-step explanation: Explanation in picture.
A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left?
Answer: (t,u) -> (t-3, u+8)
Step-by-step explanation: Up is the y value and left is the x value.
In the point ( t,u) t is the x value and u is the y value.
Moving to the left, you subtract the value and moving up you add the value.
The answer would be (t, u) → (-t – 3, u + 8)
Carmen is admiring a statue in Weston Park from 14 feet away. If the distance between the
top of the statue to Carmen's head is 50 feet, how much taller is the statue than Carmen?
feet
Submit
Work it out
Not feeling ready yet? These can help:
Answer: 36?
It's too short. Write at least 20 characters to explain it well.
which of the following graphs represents a function?
Answer: you didnt post graphs to look at
Step-by-step explanation:
find a number that is exactly halfway between 1 and 27
Answer:
14
Step-by-step explanation:
A number that is exactly halfway between 1 and 27 is the middle number
In other words, we want to find the median between 1 and 27
Median = (x + y) / 2
Let
x = 1
y = 27
Median = (x + y) / 2
= (1 + 27) / 2
= 28/2
= 14
Therefore, the number between 1 and 27 is 14
pls pls help !!!
If f(x) = 9 - 2|x + 2|, find f(-7).
-15
-1
1
19
The answer is -1
(AKA the second option)
Please help
Factor 5x^2-11x+6. Rewrite the trinomial with the X-term expanded using 2 factors
The answer starts as 5x^2_______+6
Answer:
[tex]5x^2-5x-6x+6[/tex]
Step-by-step explanation:
[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]
we need to factorize it so the X-term expanded should satisfy two conditions
1) +5 times +6 should be +30
2) add or subtract any two numbers which multiply and give -11
so here -5 times -6 gives +30 and -5 added to -6 equals -11
Please help
Much appreciated
Answer: First one, 25x^2y^22
Step-by-step explanation:
if you multiply y^5*2 you get y^10 and x^2
that makes x^2y^10
then, if you multiply y^3*4 you get y^12
so you have to add the y s that makes x^2y^22
Andy found these used car prices in the newspaper
Answer:
Good for him also there is no question
Step-by-step explanation:
Answer: whats the car prices that was in the news paper
Step-by-step explanation:
These are function questions
please give answers with working thank you
1.It is given that h(x) = 2x − 5. Find h(4)
2.It is given that f(x) = 5x + 2. Find f –1(-3).
Answer:
h(4) = 3
f-1(-3) = - 1
Step-by-step explanation:
One
h(x) = 2x - 5
h(4) = 2*4 - 5
h(4) = 8 - 5
h(4) = 3
Two
Let y = f(x)
y = 5x + 2 Interchange x and y
x = 5y + 2 Subtract 2 from both sides
(x - 2) = 5y Divide by 5
(x - 2)/5 = y
but y = f'(x)
so f(x) = (x - 2)/5
f-1(-3) = (-3 - 2) / 5
f-1(-3) = -5/5
f-1(-3) = - 1
Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
can someone explain how to solve this?
Which matrix respresents the system of equations shown below?
3x - 2y = 12
4x - y = 9
9514 1404 393
Answer:
B
Step-by-step explanation:
If you remove the variables and the equal signs from the equations and put brackets around what is left, you have the matrix that represents the equations:
[tex]\left[\begin{array}{ccc}3&-2&12\\4&-1&9\end{array}\right] \qquad\textbf{matches B}[/tex]
_____
Additional comment
You need to be sure the variables are in the same order in both equations, as they are here. If there are equations with missing variables, you need to use a zero (0) coefficient in the missing variable's location.
Which triangle is congruent to triangle ABC?
Just help me pls and thank u
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?
2 and 109
2 and -109
-2 and -109
Answer:
-2 and 109
Step-by-step explanation:
just put that
Answer 2 and -109
Step-by-step explanation:
I did the test