Answer:
36/16
Step-by-step explanation:
solve 2sin(2x) - 2sinx +2sqrt3 cosx - sqrt3 = 0
Answer:
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
-----
4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0
-----
Factor:
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
-----
[2cos(x)-1][2sin(x)+sqrt(3)] = 0
Solve:
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
hope this helps!
Answer:
x = +/-pi/3 or x = -pi/3 or (4/3)pi
Step-by-step explanation:
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
4sinxcosx - 2sinx + 2sqrt(3)cosx - sqrt(3) = 0
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
[2cos(x)-1][2sin(x)+sqrt(3)] = 0
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
Express the percent as a decimal 6.4%
Answer:
0.064
Step-by-step explanation:
Hope this helps!
Lily runs 200 meters in 34 seconds.
Answer:
Good for Lily.
Step-by-step explanation:
What is an algebraic expression?
A. the operation between two number or letters
B. letters that represent numbers
C. a branch of mathematics
D. a combination of operations on letters and numbers
Answer:
d. a combination of operations on letters and numbers
Step-by-step explanation:
b is a variable and c can be all sort of things
Answer:
D. a combination of operations on letters and numbers.
Step-by-step explanation:
Simplify.
12 + 15 : 3x6 - 4
Answer:
Step-by-step explanation:
Divide the numbers
12+153⋅6−412+153⋅x6−412+315⋅x6−412+56−412+5x6−4 12+5x6−4
Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])
Answer:
(2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y - 3x = 1
2y - x = 12
Step 2: Rewrite Systems
y - 3x = 1
Add 3x on both sides: y = 3x + 1Step 3: Redefine Systems
y = 3x + 1
2y - x = 12
Step 4: Solve for x
Substitution
Substitute in y: 2(3x + 1) - x = 12Distribute 2: 6x + 2 - x = 12Combine like terms: 5x + 2 = 12Isolate x term: 5x = 10Isolate x: x = 2Step 5: Solve for y
Define equation: 2y - x = 12Substitute in x: 2y - 2 = 12Isolate y term: 2y = 10Isolate y: y = 5Question 4 (Essay Worth 10 points) (07.02) Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function xx) = (1.04)X-1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.
Answer:
is it g(x) = 350(1.04)x − 1
or is it this- > g(x) = 350[(1.04)x − 1]
Step-by-step explanation:
well 350 is the initial quantity and we can write the expression like this- g(x)=350(1+0.4)x−1 so here g(x) is the amount received after x years 350 is the original amount 0.4 corresponds to rate of increment
What is the quotient of 228 ÷ 12?
Answer:
19
Step-by-step explanation:
228/12=19
Solve the system using elimination. 5x + 3y = -6
3x-2y = 4
Answer:
x=0;y= -2Step-by-step explanation:
(please look the attachment) Hope it helps... please mark this answer as brainliest6a^(3)+2a^(2)-8a-9-8a^(3)-a^(2)-6a+1
Answer:
[tex]-2a^3+a^2-14a +8[/tex]
Step-by-step explanation:
Given
[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]
Required
Simplify
[tex]6a^3+2a^2-8a-9-8a^3-a^2-6a+1[/tex]
Collect Like Terms
[tex]-8a^3+6a^3-a^2+2a^2-8a-6a-9+1[/tex]
[tex]-2a^3+a^2-14a +8[/tex]
3. (03.01)
Which expression is equivalent to 3(5 + 6)?
8+9
8 + 6
15 + 18
15 + 6
Expand the following expression by using the distributive method. 6(3b-4c)
A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length. What is the width of the picture
frame?
3
18 cm
32 cm
0 48 cm
0 50 cm
Answer:
The correct answer is option 2: 32 cm
Step-by-step explanation:
Let l be the length of the picture frame and w be the width
Then according to given statements, the system of equations will be
[tex]2l+2w = 100\ \ \ Eqn\ 1\\w = 2l-4\ \ \ Eqn\ 2[/tex]
Putting w = 2l-4 in equation 1
[tex]2l+2(2l-4) = 100\\2l+4l-8=100\\6l-8 = 100\\6l = 100+8\\6l=108\\\frac{6l}{6}=\frac{108}{6}\\l = 18[/tex]
Putting the value of l in equation 2
[tex]w = 2(18)-4\\w = 36-4\\w = 32[/tex]
The width is 32 cm
Hence,
The correct answer is option 2: 32 cm
!!! time sensitive please answer !!!
consider the sequence below. 3, 1, 1/3, 1/9
select the explicit function which defines the sequence
A. f(n) = 1/3 • 2^(n-1)
B. f(n) = 2 • (1/3)^(n-1)
C. f(n) = 3 • (1/3)^(n-1)
D. f(n) = 1/3 • 3^(n-1)
Simplify.
6² + 3²
09
O 18
O 45
081
Answer:
45
Step-by-step explanation:
6² + 3²
36 + 9
45
Follow me please
1. Which equation does not represent a
linear function?
A y = -2x
B y = x
c y = 6x +2
Point Q lies on the circle and has an X-coordinate of 4. Which value could be the y-coordinate for point Q?
We are not given the radius of the circle or any other relevant data, so I assumed the radius of the circle r=5
Answer:
The y-coordinate of Q is 3
Step-by-step explanation:
Circles and Lines
The figure below shows a circle of radius r=5 and a segment that goes from the center of the circle to a point of the circumference, where x=4.
We can find the y-coordinate of that point by using Pithagora's theorem:
[tex]r^2=x^2+y^2[/tex]
Solving for y:
[tex]y^2=r^2-x^2[/tex]
[tex]y^2=5^2-4^2[/tex]
[tex]y^2=25-16=9[/tex]
[tex]y=\sqrt{9}=3[/tex]
The y-coordinate of Q is 3
Can someone help me with this question
Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue is R(x) = - 0.4{x^3} + 700{x^2} - 600x + 500R(x)=−0.4x 3 +700x 2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:
[tex]c(x) = 600x {}^{2} + 300x[/tex]
monthly revenue:
[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]
profit function:
[tex]p(x) = r(x) - c(x)[/tex]
[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]
i) remove the first bracket
[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]
ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]
iii) collect like terms
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]
iv) simply the like terms
[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]
I need help pleaseee stattt (11 points )
Answer:
If you were to get a different piece of paper and trace the same shape and flip it over to the same position that one of them is in it will be the exact same measurements!
If p varies jointly as q and the cube of r, when
p=270 when q=6 and r=3, find the constant of
variation. Write your answer as a fraction.
y=kxz
The value of constant of variation is, 5.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
⇒ p varies jointly as q and the cube of r.
Since, p varies jointly as q and the cube of r.
Hence, We can formulate;
⇒ p = k × q × r²
Where, k is constant of variation.
Here, p = 270 when q = 6 and r = 3.
Substitute all the values, we get;
⇒ p = k × q × r²
⇒ 270 = k × 6 × 3²
⇒ 270 = 54k
⇒ k = 270 / 54
⇒ k = 5
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ2
simplifyyyyyyyyyyyyyyyyyy
Answer:
Step-by-step explanation:
x^2 - 11x + 30 = (x - 6)(x - 5)
x^2 - 4 = (x + 2)(x - 2)
x^2 + 3x - 40 = (x + 8)(x - 5)
x - 2 = x - 2
Invert and multiply the right fraction.
(x - 6)(x - 5) (x - 2)
=========== x =======
(x - 2)(x + 2) (x + 8)(x - 5)
x - 5 on the top cancels with x - 5 on the bottom
x - 2 on the top cancels with x - 2 on the bottom left
So what's left?
(x - 6)
===============
(x + 2)(x + 8)
This is likely the answer.
Answer:
[tex]\frac{x-6}{x^{2} +10x+16}[/tex]
Step-by-step explanation:
to much to explain
decide whether the rates are equivalent.
24 laps/6 minutes
72 laps/18 minutes
Answer:
Yes they are equivalent
Step-by-step explanation:
Because 24/6=4
And 72/18= 4
Hope this helps, have a good day
Name AT LEAST 3 other words that are a synonym for a ROOT of a polynimal
Answer:
Root of polynomial synonyms: zero, x-intercept
Step-by-step explanation:
Technically in calculus we also call roots critical points of f, but I'm not sure of the obvious 3rd word. Maybe horizontal intercept?
Help me please I need help on this
Answer:
1 lb
Step-by-step explanation:
Picked up 3/5 and 4/5.
Used 3/8.
Amount now:
3/5 + 4/5 - 3/8 =
= 7/5 - 3/8
= 56/40 - 15/40
= 41/40
Answer: 1 lb
Write the linear equation in slope-intercept form 4x + y = 10
Answer:
y=-4x+10
Step-by-step explanation:
you subtract 4x on both sides
A 2-quart carton of non-dairy creamer costs $6.32. What is the price per cup?
Answer:
you mean 2.5?????? in two quart????
I need help please :D Thanks
Answer:
Step-by-step explanation:
HII do the parentheses first then carry on if you need more help i suggest you go to caculatorsoup and search mixed number caculator and it should help u its a web
Use a table of values to graph the function [tex]f(x) = -2\sqrt[3]{x}[/tex]. Select the correct graph below
Answer:
the correct graph is B
Step-by-step explanation:
to check, you can see that my graph and graph in answer B both intersects at (-1,2)
I need help pleas I need it please please please free 50 points free 50 pionts
Answer:
0
Step-by-step explanation:
Answer:
1785
Step-by-step explanation: