Answer: The leading coefficient is -1.
Step-by-step explanation: Coefficients are the numbers than procede each term with a variable (in this instance, x) in the equation.
[tex]-x^6+4x^2+2x-6\\[/tex]
There are four terms in this equation, which has been reordered in the correct form, which is from the highest term to the lowest term (based on exponent values).
Thus, there are three coefficients in this equation, which, in order, are as follows:
[tex]-1, 4, 2[/tex]
Potatoes are sold at $3.30 per 55 kg bag.
(a) Calculate the cost per kilogram.
(b) How much will 12 kg cost?
Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of x only.
[tex]\frac{csc^2 (-x)-1}{1-cos^2 (-x)}[/tex]
[tex]\stackrel{\textit{reciprocal ident.}}{csc(\theta)=\cfrac{1}{sin(\theta)}} ~\hfill \stackrel{\textit{symmetry ident.}}{sin(-\theta )=-sin(\theta)}~\hfill \begin{array}{llll} \stackrel{\textit{pythagorean ident.}}{sin^2(\theta)+cos^2(\theta)=1}\\ sin^2(\theta)=1-cos^2(\theta)\\ cos^2(\theta)=1-sin^2(\theta) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\cfrac{csc^2(-x)-1}{1-cos^2(-x)}\implies \cfrac{~~\frac{1}{sin^2(-x)}-1~~}{sin^2(-x)}\implies \cfrac{~~ \frac{1-sin^2(-x)}{sin^2(-x)}~~}{\frac{sin^2(-x)}{1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{keeping in mind that}~\hfill }{sin^2(-x)\implies [sin(-x)]^2\implies [-sin(x)]^2\implies [sin(x)]^2\implies sin^2(x)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{~~ \frac{1-sin^2(x)}{sin^2(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{1-sin^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cot^2(x)csc^2(x)~\hfill[/tex]
Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups
The required equation that represents the graph is y = x + 30
The standard linear equation is given as y = mx + b
m is the slope b is the y-interceptUsing the coordinates (20, 50) and (40, 70)
Get the slope of the line:
m = 70-50/40-20
m = 20/20
m = 1
Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.
The required equation that represents the graph is y = x + 30
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Show all work to multiply
(3+ square root -16) (5 – square root -25)
[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]
Find the value of x.
Answer:
x= 11°
Step-by-step explanation:
∠BAC= ∠ACD (alt. ∠s, AB//CD)
∠BAC= 33°
∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)
33° +2x= 5x
5x -2x= 33°
3x= 33°
x= 33° ÷3
x= 11°
_____
Alternatively,
∠ACB= 180° -5x (adj. ∠s on a str. line)
∠BCD +∠ABC= 180° (int. ∠s, AB//CD)
∠ACB +∠ACD +2x= 180°
180° -5x +33° +2x= 180°
Minus 180° on both sides:
-5x +2x +33°= 0
5x -2x= 33°
3x= 33°
x= 11°
1 1/5- 1/3
AS FRACTION
Answer:
-2/15
this should work
Step-by-step explanation:
Answer:
13/15
Step-by-step explanation:
1 1/5 - 1/3 =
= 1 + 1/5 - 1/3
= 5/5 + 1/5 - 1/3
= 6/5 - 1/3
= 18/15 - 5/15
= 13/15
PLS HELPPPPP!!!!!!!!
Answer:
not even bill nye could solve this
What is the equation of a line written in point-slope form that passes through the point (2,-5) and is parallel to the line represented by 3x -2y = -14?
Answer:
y=3/2x-8
Step-by-step explanation:
The slope of a line parallel to 3x-2y=-14 will be equivalent to the slope of this equation.
Rewrite the given equation in Slope/Intercept Form y=mx+b to get the slope m.
3x-2y=-14
2y=3x+14
divide both sides by 2 to solve for y.
y=(3x+14)/2
y=3/2x+7
slope m =3/2
Now that we have found the slope of our equation, we can put it into point-slope form : y-y1=m(x-x1) 2=x1 -5=y1
y--5=3/2(x-2)
y+5= 3/2x-3
subtract 5 from both sides to solve the equation for y
y=3/2x-8
Use long division to solve 38 divided by 4
If you know how to set up the format for long division, the answer is 9.5 because 4 goes into 3 zero times, and you don't necessarily need to write down the zero on top since it equals nothing in a whole number. then, 4 goes into 38 nine times. (yes 38 because you didn't do anything with the 3 so you just make it 38) 4 × 9 = 36. it doesn't exactly make 38, so you take away 36 from 38 and you are left with a remainder of 2. then to get no remainder, add a zero to the end of 38. so it would look something like 4/380 so you take down the zero next to the 2 so it makes 20, 4 × 5 = 20 and you are left with a remainder of 0 and the answer: 9.5 ( P.S.: added the decimal because it wasn't exactly equal when doing 4 × 9 so we had to add a zero)
A line with a slope of -8/3
passes through the point (0, 10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form
Answer:
y = - [tex]\frac{8}{3}[/tex] x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{8}{3}[/tex] and crosses the y- axis at (0, 10 ) ⇒ c = 10
y = - [tex]\frac{8}{3}[/tex] x + 10 ← equation of line
Help Meeeeee again plzzzzzzzzz
Answer:
53
Step-by-step explanation:
pls give me brainlest
I need the answers for this please
Answer:
A AND B IS TRUE C IS FALSE
Step-by-step explanation:
Resuelve la siguiente ecuación lineal: 13-4(5x+1)=3(7-5x)-15
.........................
(2 pts.) 9.) Find two equivalent expressions to tan 20° using the cotangent function in degrees.
tan (u) = a/b = cot (90° – u)
Let u = 20°
Take it from here.
The equivalent value of the expression is tan20 is a cot(70).
What are trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The area of mathematics is concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle.
Given that the trigonometric expression is tan30. The equivalent expression will be written as,
tan (u) = a/b = cot (90° – u)
tan (20) = cot ( 90 - 20 )
tan 20 = cot 70
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can someone please explain this question
Which of the following expressions is equal to the total investment of a no-load mutual fund?
a.
net assets ÷ number of shares
b.
net asset value ÷ number of shares
c.
net asset value x number of shares
d.
offer price x number of shares
Answer is C
If someone puts no job or social services on their rental application and yet they pay rent on time each month … they’re probably doing something illegal. Here in SoCal, if all they offer are 1099s as a “music producer” or other vague free lance type job, they might be dealers and you as the landlord are held to know that.
Answer:
C. net asset value x number of shares
Step-by-step explanation:
edge 2022
Find f ′(x) for f(x) = ln(x^4 + e^(2x)).
[tex]\text{Given that,}\\\\\\f(x) = \ln(x^4 +e^{2x})\\\\\\f'(x) = \dfrac{1}{x^4 + e^{2x}} \left(4x^3+2e^{2x}\right) = \dfrac{2(2x^3+e^{2x})}{x^4 + e^{2x}}~~~~;[\text{Chain rule}]\\\\\\\text{Note:}\\\\\dfrac{d}{dx} \ln x = \dfrac 1x\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} e^{mx} = m e^{mx}[/tex]
After solving the given equation, the value obtained is equal to [tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex].
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given data in the question,
f(x) = ln (x⁴ + e²ˣ)
[tex]f'(x)=\frac{1}{x^4+e^2^x}(4x^3+2e^2^x)[/tex]
Now, use the chain rule,
[tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex]
Also, note some points,
d/dx ln (x) = 1/x
[tex]\frac{d}{dx}x^n=nx^n^-^1[/tex]
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What is the value of the expression when a=3 and b=4
Answer:
The equation
Step-by-step explanation:
I need the equation so I can answer your question.
What is the slope of the line that passes through the points (4,1) and (6, 2)?
Answer:
1-2
Step-by-step explanation:
honestly idek what this stuff is I just need points
13/15% of a quantity is equal to what fraction of the quantity?
Answer:
13/15
Step-by-step explanation:
Th stalest tree in the world is a red wood in red wood national and state parks .it is 379feet tall .how many yards is this
Answer:
126 1/3 yards
Step-by-step explanation:
1 foot = 1/3 yard
379 feet = 379/3 yard= 126 1/3 yards
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
77) YES , 78) YES , 79) NO , 80) YES
Step-by-step explanation:
77) 12/4=3 and 18/6=3 so YES
78) 30/6=5 and 40/8=5 so YES
79) 36/25=1.44 and 48/40=1.2 so NO
80) 15/5=3 and 13.8/4.6=3 so YES
Question 17 of 20
How did women's roles change as a result of the Industrial Revolution in
Europe?
O A. Women earned the right to vote in most democracies by
organizing protests.
OB. Women earned salaries equal to men's for the first time in history,
O C. Women gained increased economic independence by working in
factories
O D. Women largely controlled agriculture by replacing male farmers
who moved to cities.
As a result of the Industrial Revolution, things changed for women in that C. Women gained increased economic independence by working in factories
The Industrial Revolution:
Allowed for women to be employed in certain factories Allowed for women to get paid salaries as a resultWhen women started earning salaries, they did not have to rely on men as much as they could not provide for themselves which led to increased economic independence.
In conclusion, the industrial revolution allowed for the economic independence of women to increase.
Find out more on the industrial revolution at https://brainly.com/question/13323062.
How does (x^3)^3 = x^6 ?
Answer:
It does not, unless [tex]x=0[/tex] or [tex]x=1[/tex]
If you remember how to raise a power to a given power you remember to multiply the exponents (or, if you don't, apply the definition of [tex](x^3)^3=(x^3)(x^3)(x^3)=x^9[/tex]
At this point you're being asked if [tex]x^9=x^6[/tex] and the only two numbers for which this is true are 0 and 1 (side note: if the left hand side was an even function also [tex]-1[/tex] was a possible candidate, but alas 9 is odd).
what step is first when solving
3/4 x-3 = -18
NO LINKS WHATSOEVER
Answer:
Add 3 to both sides.
Step-by-step explanation:
Add 3 to both sides.
This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.
In other words, evaluate 3/4 x - 3 for x = 5
The left side turns into 3/4 × 5 - 3.
What order of operations would you use now on the left side.
1) Multiply 3/4 by 5
2) Subtract -3
To solve an equation, you do the opposite operations in the opposite order.
Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.
Answer: add 3 to both sides
Help pls pls pls and thank you
Answer:
2 feet: $18
4 feet: $36
5 feet: $45
$81 = 4.5 feet
10 feet = $90
Step-by-step explanation:
2 feet: $18
4 feet: $36
18 + 18
5 feet: $45
18 + 18 + 9
$81 = 4.5 feet
81/18
10 feet = $90
18 + 18 + 18 + 18 + 18
Help help ASAP ASAP
Answer:
1
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - 4 / 0 - -2
2 / 2 = 1
A salesperson rent a car for a work trip. The rental car company charges the salesperson $25 each day and a flat fee of $100 for insurance.
If the salesperson is charged a total of $225 to rent the car for 2 days, which statement is true?
The equation 25% + 100 = 225 can be used to find 2, and the salesperson rents the car for exactly 2 days.
The equation 252 + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
The equation 100:1 + 25 = 225 can be used to find 2, and the salesperson rents the car for exactly 2 days.
O The equation 100.0 + 25
225 can be used to find, and the salesperson rents the car for exactly 5 days.
The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
Let the number of days used to rent the car be zIf the rental car company charges the salesperson $25 each day, the total charges for "z" days will be $25zIf a flat fee of $100 for insurance is added and the salesperson is charged a total of $225 for "z" days, hence the required equation that represents this statement is expressed as:
Rental charges for "z" days + $100 = total charge25z + 100 = 225The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
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Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
Given that (-5,-6) is on the graph of f(x), find the corresponding point for this function -1/3f(x).
Explanation:
We multiply the y coordinate by -1/3 because of the notation (-1/3)*f(x). Recall that y = f(x). The x coordinate stays the same.