Answer:
(x+2/3) (x^2 - 2)
Step-by-step explanation:
First we can seperate the problem
(x^3 + 2/3x^2) + (-2x - 4/3)
We factor x^2 out of the first parenthesis
x^2(x + 2/3) + (-2x - 4/3)
and factor -2 out of the second
x^2 (x+2/3) +-2 (x +2/3)
then we rewrite it as
(x+2/3) (x^2 -2)
-- Gage Millar, alg1/2 tutor
Differentiate y = csc(x)cot(x).
Answer:
[tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringFunctions
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle y = \csc (x) \cot (x)[/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle y' = \frac{d}{dx}[\csc (x)] \cot (x) + \csc (x) \frac{d}{dx}[\cot (x)][/tex]Trigonometric Differentiation: [tex]\displaystyle y' = - \csc (x) \cot (x) \cot (x) + \csc (x) \big[ - \csc ^2 (x) \big][/tex]Simplify: [tex]\displaystyle y' = - \csc (x) \cot^2 (x) - \csc^3 (x)[/tex]Factor: [tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
What are the roots of the equation?
5x^3 + 45x^2+ 70x = 0
A) -2, 0, 7
B) -7, -3, 0
C) -7, 0 , 2
D) 0, 2, 7
Answer:
D) 0, 2, 7
Step-by-step explanation:
Hope this helps
When William had one cat, he needed to serve 1/8 of a can of cat food each day. Now that William has adopted a second cat, he needs to serve a total of 2 7/8 cans each day. How much extra food is needed to feed the second cat?
Hal has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition. Each loan had a duration of ten years and interest compounded monthly, and Hal will pay each of them back by making monthly payments, starting as he graduates. Hal’s loans are detailed in the table below. Year Loan Amount ($) Interest Rate (%) Subsidized? Junior 4,048 5. 9 N Senior 5,295 7. 6 Y Once all of his loans are paid off, what will Hal’s total lifetime cost be? Round all dollar values to the nearest cent. A. $9,023. 28 b. $8,467. 20 c. $11,498. 40 d. $13,615. 20 Please select the best answer from the choices provided A B C D.
Answer:
d
Step-by-step explanation: i chose d
What is the range of function g?
Answer:
y ≥ 2
Step-by-step explanation:
Domain is x > 1 . So, range will be greater than or equal to 2
Can anyone help? I don’t know how to do #28
Answer:
enlarge the equilateral triangle and put -2
Step-by-step explanation:
HELP ASAP!!! What is the measurement of where it says 41? I’m not sure if it’s in Feet or meters
Answer:
inches
Step-by-step explanation:
pretty sure that says 41 inches because at 36 it says 3 feet and 12 inches = 1 feet, so 36 inches equal 3 feet. The measurement would be inches.
Triangle PQR is an isosceles triangle with the coordinates P(2, 3), Q(5, 10), and R(8,3).
What is the area of triangle PQR
Answer:
b
Step-by-step explanation:
60 divided by the ratio of 7:3
HELPPPPP!!!!!!!!!!!!!!!!!!
Answer:
I think b im not too sure
Step-by-step explanation:
Answer:
C 8
Step-by-step explanation:
3 apples/2 oranges = 12 apples/x
3/2 = 12/x
3x = 24
x = 8 oranges
Solve the inequality and enter your solution as an inequality.
8 + x>4
if any concerns or questions on solution, just comment
Bob has a piece of wood that is 3/4 inches long. He decides to cut pieces that are 1/8 inches long. How many pieces can Bob cut?
Answer:
Bob can cut 6 pieces
Explanation:
Since he decided to cut pieces that are 1/8 inches long, divide.
> 3/4 ÷ 1/8
To get the answer which is 6
Jingle Corporation produces toy footballs. Each football sells for $9. 95 with a variable unit cost of $7. 10. Assuming a fixed cost of $11,400 what is Jingle's breakeven point?.
Answer:
Jingle's breakeven point is achievable if 4000 units are sold.
Step-by-step explanation:
Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also
gave her Skydiving Instructor a tip of $20.
(a) Define the unknown in the scenario and assign it a letter or symbol.
The transformation shown is a rotation.
True or False
HELPPPPPPPPP
Those are two problems.
What is the
leasure of Z?
x
У
4.
9
Z=
=
= [?]V
Give your answer in simplest form.
Answer:
z = 3√13
Step-by-step explanation:
The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...
z = √(9(13))
z = 3√13
__
Additional comment
In like fashion, ...
x = √(4(13)) = 2√13y = √(4·9) = 6.__
These relations come about because all of these right triangles are similar. That means their side lengths are proportional.
long side/hypotenuse = z/13 = 9/z ⇒ z = √(9·13)
short side/hypotenuse = x/13 = 4/x ⇒ x = √(4·13)
short side/long side = 4/y = y/9 ⇒ y = √(4·9)
help its do in 15 mins
Answer:
Step-by-step explanation: its 7
What is y=2x? (its in the mathematics Georgia book)
The ratio of collectible coins Juanita owns to coins that Elia owns is 3:1. Elia has 32 coins. How will the ratio of Juanita’s coins to Elia’s coins change if they both sell one fourth of their coins? Explain.
divide £64 in the ratio 3:5
Answer:
64/1 . 5/3
320/3
106.666666?
Answer:
£24 and £40
Step-by-step explanation:
To divide into the ratio of 3:5, we can start by dividing into 8 parts - as 3+5=8, then do 3 parts and 5 parts to achieve the ratio.
£64 / 8 = £8
3 * £8 = £24
5 * £8 = £40
Drag the expressions to order them top to bottom from least to greatest.
Answer:
|-5[tex]\frac{3}{7}[/tex]|
|5[tex]\frac{1}{7}[/tex]|
|-4[tex]\frac{6}{7}[/tex]|
|-4[tex]\frac{3}{7}[/tex]|
|4[tex]\frac{2}{7}[/tex]|
Step-by-step explanation:
absolute value is how far the the number is away from zero, it does not matter if it is negative or positive
help Which relation is a function?
Answer:
The answer is B
Step-by-step explanation:
an input value must only paired to one output value
Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answer:
the coomon factor is 3xy³
by factoring we get
3xy³(4y-7xy²z+12)
Bacteria colonies can triple in size every 4 days. If you start with 150 bacteria microorganisms, how large would the colony be after 16 days? First, complete the equation: Future Amount = 150(1+[?]
Answer:
But notice that the colony tripled 4 times in 16 days, or it tripled 16 / 4 = 4 times.
Step-by-step explanation:
150 x 3 x 3 x 3 x 3 = 150 x 34 = 150 x 81 = 12,150.
Hope this helps
Answer:
ha i got nothing
Step-by-step explanation:
he i got nothing
Use the linear combination method to solve the system of equations. *Explain each step of your solution.
2x - 3y = 13
x + 2y = 4
Step 1: We have the next system of equations -
[tex]2x - 3y = 13[/tex]
[tex]x + 2y = 4[/tex]
Step 2: Now, we will multiply by -2 the second equation:-
[tex] - 2(x + 2y) = 4[/tex]
[tex]→ - 2x - 4y = - 8[/tex]
Step 3: Then we add it :-
[tex]2x - 3y = 13[/tex]
[tex]( + ) \: - 2x - 4y = - 8[/tex]
Step 4: After finding the sum, we simplify:-
[tex] - 7y = 5[/tex]
[tex]→y = - \frac{5}{7} [/tex]
Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-
[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]
Step 5: Then simplify :-
[tex]y = \frac{38}{7} [/tex]
Therefore, the final answer is :-
[tex]x = \frac{38}{7} [/tex]
and
[tex]y = \frac{5}{7} [/tex]
------------------------★---------------------
Answered by Benjemin360 ☺️
Solve for x.
0.6x = 4.8
Enter your answer in the box.
x =
Answer:
x= 8
What I Did:
First I turned them into whole number so I turned 0.6 into 6 and 4.8 into 48
Then I divided 48 by 6 which was 8
You can also add 0.6 as many times until you get to 4.8 but then you're just wasting time.
Answer: x = 8
Step-by-step explanation:
PRETTTTYYYYYYYYYYY PLS HELP ME RN
Answer:
(5,-3)
Step-by-step explanation:
We can substitute the y in the second equation by the first equation:
2x+3(x-8)=1->
2x+3x-24=1 ->
5x-24=1 ->
5x=25 ->
x=5.
Then solve for y in the first equation:
y=5-8 ->
y=-3.
So the first is correct:
(5, -3)
Hope that helps! :)
Answer:
First option: (5,-3)
Step-by-step explanation:
First turn the second equation to slope intercept form (y=mx+b):
Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.
Now you can graph both, and the solution would be the point that intercepts both of these lines.
(Here it is graphed above for you⤴⤴⤴)
Hope this helps :)
19. Is there any bias in the survey question? Explain.
What do you think would help students pay more attention in class?
Answer:
yes
Step-by-step explanation:
because everyone has a different method that works for them.
but then again it uses the pronoun you which means its asking for your opinion its not phrased
what would help študents pay more attention in class
so yes and no
The sum of two consecutive even integers is 122. What are the two numbers?
Answer:
Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
The numbers are : 60 , 62
Step-by-step explanation:
Let the two consecutive even numbers be 2x , 2x + 2
2x + 2x + 2 = 122
Combine like terms
4x + 2 = 122
Subtract 2 from both sides
4x = 122 - 2
4x = 120
x = 120/4
x = 30
2x = 2*30 = 60
2x + 2 = 2*30 + 2 = 60 + 2 = 62