f(x)=-3x-23
g(x)=3x+25
I need points X and y
I will give brainly
Answers
Answer:
refer to this image here:
hope this helps :)
We will use graphical way to solve it
y=-3x-23y=3x+25Graph it
Solution is
(-8,1)
Related Questions
help me find the area please
Answers
Answer:
I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.
If y = sin(x)
Prove that dy/dx = y cot(x)
Answers
[tex]y=sin(x)\implies \cfrac{dy}{dx}=\boxed{cos(x)} \\\\[-0.35em] ~\dotfill\\\\ ycot(x)\implies \stackrel{y}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cfrac{cos(x)}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{cos(x)}[/tex]
Hello, can u help me out please i will give brainlist :)
Answers
Answer:
$5.75
Step-by-step explanation:
Find the difference between the weeks as this will give you the difference hence the amount deposited each week
0->1
is 12.00->17.75
diffrence is $5.75
1->2
is 17.75->23.50
diffrence is $5.75
the amount saved each week is $5.75
Which answer choice correctly represents 0.4121212…?
A. 0.412
B.
C.
D.
Answers
The one in the second picture
The bar on top of the numbers 12 means that the 12 keeps on re-occurring
the on with the line over the 2 only
Step-by-step explanation:
find the missing number?
IF
3+4 = 19
4+5 = 29
5+ 6=41
1+9 = 19
then 1+3= ?
please help me if you know the answer
Answers
1. What is the center of dilation used to dilate quadrilateral WXYZ to quadrilateral W'X'Y'Z'?
Answers
Answer:
The answer that makes sence to me is C (-3, 4)
Step-by-step explanation:
kevin completed 10 problems of his homework during lunch this is 2/7 of the total assignment how many problem was Kevin assigned for homework
Answers
Answer:
35 problems
Step-by-step explanation:
We know that 10 problems are 2/7 of his total assignment, so we can set up the following equation,
[tex]\frac{10}{x\\} = \frac{2}{7}[/tex]
(side note: x is the denominator because we don't know how many problems it is out of yet)
We can cross multiply which gives us: (7x10) and 2(x)
70 = 2x (set them equal)
x = 35 (divide 70 by 2)
Hope this helps!
Xavier opened a savings account with a deposit of $12,000. the account earned simple interest. he did not make any additional deposits or withdrawals. at the end of 3 years, the account balance was $12,324. what is the annual interest rate on this account? question 5 options: 0.9% 1.8% 2.7% 3.6%
Answers
Answer:
0.9%
Step-by-step explanation:
I took the test
which type of function describes her total savings after m months and why?
Answers
Answer:
A.
Step-by-step explanation:
I would advise finding the difference between 300 and 200 and 450 and 300:
[tex]300-200=100\\450-300=150[/tex]
We can eliminate C and D since she saves 100 the first month and 150 the second month.
The next step would be to find the increase every month:
[tex]\frac{Final value}{initial value}=x\\\\\frac{300}{200}=1.5 \\\\\frac{450}{300} = 1.5[/tex]
If we would write the increase as a function, we would get:
[tex]y= 1.5x[/tex]
we can check this by substituting values:
[tex]y=1.5*200\\y=300\\\\\\y=1.5*300\\y=450[/tex]
An exponential function looks like this:
[tex]y= a^x[/tex]
A linear function looks like this:
[tex]y=mx+b[/tex]
Our m is 1.5, a linear increase by 150% and our b is 0, which can be written like:
[tex]y=1.5x+0\\y=1.5x[/tex]
Therefore our function resembles a linear function more than an exponential function, eliminating answer B.
Hello ! Here's a calculus question!
Find that value of
[tex]\\ \rm\Rrightarrow {\displaystyle{\int\limits_{\pi}^{2\pi}}}\dfrac{sin^6x+cos^6x}{sin^3xcos^3x}[/tex]
Note:-
Answer must include all steps properly .
Kindly don't waste time here if you don't know the answer .
All the best !
Answers
Answer:
Undefined.
Formula's used:
[tex]\longrightarrow \bold{sec(x) = \dfrac{1}{cos(x)} }[/tex]
[tex]\longrightarrow \bold{cosec(x) = \dfrac{1}{sin(x)} }[/tex]
[tex]\longrightarrow \bold{cot(x) = \dfrac{1}{tan(x)} }[/tex]
[tex]\longrightarrow \bold{tan(x) = \dfrac{sinx}{cos(x)} }[/tex]
[tex]\longrightarrow \bold{sin^2x + cos^2 x = 1 }[/tex]
[tex]\longrightarrow \sf \bold{Sum \ Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx}[/tex]
[tex]\longrightarrow \bold{ \int \:{sec^2(ax+b) = \dfrac{1}{a}tan(ax+b)+c }}[/tex]
[tex]\longrightarrow \bold{\int \:\dfrac{1}{ax+b} =\dfrac{1}{a} ln|ax+b|+c}[/tex]
Explanation:
[tex]\sf \Longrightarrow \int _{\pi }^{2\pi }\:\dfrac{sin^6(x)+cos^6(x)}{sin^3(x) \ * \ cos^3\left(x)}[/tex]
[tex]\sf \Longrightarrow \sf \int _{\pi }^{2\pi }\:\dfrac{sin^6\left(x\right)}{sin^3\left(x\right)\cdot \:cos^3\left(x\right)} +\dfrac{cos^6\left(x\right)}{sin^3\left(x\right)\cdot \:cos^3\left(x\right)}[/tex]
[tex]\Longrightarrow \sf \int _{\pi }^{2\pi }\:\dfrac{sin^3\left(x\right)}{\:cos^3\left(x\right)} +\dfrac{cos^3\left(x\right)}{sin^3\left(x\right)}[/tex]
[tex]\Longrightarrow \sf \int _{\pi }^{2\pi }\ tan^3(x)+ cot^3(x)[/tex]
[tex]\sf \Longrightarrow \sf \int _{\pi }^{2\pi } \tan ^3(x)dx+\int _{\pi }^{2\pi } \cot ^3 (x)dx[/tex]
[tex]\Longrightarrow \sf \bold{ [ }-\ln |\sec \left(x\right) |+\dfrac{\sec ^2(x)}{2}-\dfrac{\cot ^2 (x)}{2}-\ln |\sin(x)| \bold{ ] }^{2\pi }_\pi[/tex]
apply limits
[tex]\sf \Longrightarrow \sf -\ln \left|\sec \left(2\pi \right)\right|+\dfrac{\sec ^2\left(2\pi\right)}{2}-\dfrac{\cot ^2\left(2\pi\right)}{2}-\ln \left|\sin \left(2\pi\right)\right|-(-\ln \left|\sec \left(\pi \right)\right|+\dfrac{\sec ^2\left(\pi\right)}{2}-\dfrac{\cot ^2\left(\pi\right)}{2}-\ln \left|\sin \left(\pi\right)\right|)[/tex]
simplify using trigonometric basic functions
[tex]\Longrightarrow \sf -\ln \left|\dfrac{1}{\cos \left(2\pi \right)}\right|+\dfrac{\left(\dfrac{1}{\cos \left(2\pi \right)}\right)^2}{2}-\dfrac{\cot ^2\left(2\pi \right)}{2}-\ln \left|\sin \left(2\pi \right)\right|- ( -\ln \left|\dfrac{1}{\cos \left(\pi \right)}\right|+\dfrac{\left(\frac{1}{\cos \left(\pi \right)}\right)^2}{2}-\dfrac{\cot ^2\left(\pi \right)}{2}-\ln \left|\sin \left(\pi \right)\right|)[/tex]
The value of cot(2π) is not defined. [ cot(2π) = ∞ ]⇒ Undefined
Answer:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \boxed{\text{un} \text{de} \text{f}}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationIntegration
IntegralsIntegration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Methods: U-Substitution + U-Solve
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite:[tex]\displaystyle \frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x} = \frac{\sin^6 x}{\sin^3 x \cos^3 x} + \frac{\cos^6 x}{\sin^3 x \cos^3 x}[/tex][Integrand] Simplify:
[tex]\displaystyle \frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x} = \tan^3 x + \cot^3 x[/tex][Integrand] Rewrite:
[tex]\displaystyle \frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x} = \tan x (\sec^2 x - 1) + \cot x (\csc^2 x - 1)[/tex]
Step 3: Integrate Pt. 2
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \int\limits^{2 \pi}_{\pi} {\tan x (\sec^2 x - 1) + \cot x (\csc^2 x - 1)} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \int\limits^{2 \pi}_{\pi} {\tan x (\sec^2 x - 1)} \, dx + \int\limits^{2 \pi}_{\pi} {\cot x (\csc^2 x - 1)} \, dx[/tex]
Step 4: Integrate Pt. 3
Identify variables for u-solve.
1st Integral
Set u:[tex]\displaystyle u = \sec x[/tex][u] Apply Trigonometric Differentiation:
[tex]\displaystyle du = \sec x \tan x \, dx[/tex][du] Rewrite:
[tex]\displaystyle dx = \frac{1}{\sec x \tan x} \, du[/tex]
2nd Integral
Set v:[tex]\displaystyle v = \csc x[/tex][v] Apply Trigonometric Differentiation:
[tex]\displaystyle dv = - \cot x \csc x \, dx[/tex][dv] Rewrite:
[tex]\displaystyle dx = \frac{-1}{\cot x \csc x} \, dv[/tex]
Step 5: Integrate Pt. 4
[Integrals] Apply Integration Method [U-Solve]:[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \int\limits^{x = 2 \pi}_{x = \pi} {\frac{\tan x (\sec^2 x - 1)}{\sec x \tan x}} \, du + \int\limits^{x = 2 \pi}_{x = \pi} {\frac{- \cot x (\csc^2 x - 1)}{\cot x \csc x}} \, dv[/tex][Integrals] Simplify:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \int\limits^{x = 2 \pi}_{x = \pi} {\frac{u^2 - 1}{u}} \, du - \int\limits^{x = 2 \pi}_{x = \pi} {\frac{v^2 - 1}{v}} \, dv[/tex][Integrals] Apply Integration Rule [Reverse Power Rule]:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \frac{u^2}{2} \bigg| \limits^{x = 2 \pi}_{x = \pi} - \int\limits^{x = 2 \pi}_{x = \pi} {\frac{1}{u}} \, du - \Bigg( \frac{v^2}{2} \bigg| \limits^{x = 2 \pi}_{x = \pi} - \int\limits^{x = 2 \pi}_{x = \pi} {\frac{1}{v}} \, dv \Bigg)[/tex][Integrals] Apply Logarithmic Integration:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \frac{u^2}{2} \bigg| \limits^{x = 2 \pi}_{x = \pi} - \ln | u | \bigg| \limits^{x = 2 \pi}_{x = \pi} - \Bigg( \frac{v^2}{2} \bigg| \limits^{x = 2 \pi}_{x = \pi} - \ln | v | \bigg| \limits^{x = 2 \pi}_{x = \pi} \Bigg)[/tex]Back-Substitute variables u and v:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \frac{\sec^2 x}{2} \bigg| \limits^{2 \pi}_{\pi} - \ln | \sec x | \bigg| \limits^{2 \pi}_{\pi} - \Bigg( \frac{\csc^2 x}{2} \bigg| \limits^{2 \pi}_{\pi} - \ln | \csc x | \bigg| \limits^{2 \pi}_{\pi} \Bigg)[/tex]Simplify:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \bigg( \ln | \csc x | - \ln | \sec x | + \frac{\sec^2 x - \csc^2 x}{2} \bigg) \bigg| \limits^{2 \pi}_{\pi}[/tex]Apply Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \boxed{\text{un} \text{de} \text{f}}[/tex]
∴ we have found the value of the given integral.
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Learn more about integration: https://brainly.com/question/14413972
Learn more about calculus: https://brainly.com/question/20197752
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Find the solution set of the inequality
4.7 -1 <11.
Answers
Answer:
4x-1<11
4x<11+1
4x<12
x<12/4
x<3
Jina makes eight dollars for each hour of work. Write an equation to represent her total pay ‘p’ after working ‘h’ hours
Answers
Answer:
p = 8h
Step-by-step explanation:
Simple math my guy
Answer:
p=8h
Step-by-step explanation:
For each hour, she gets paid $8. So the total pay would be the number of hours multiplied by 8.
An event has a probability of 2/7. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answers
Answer:
Less Likely
Step-by-step explanation:
A 2/7 probability means that it will happen less than half the time.
The eliminates equally likely, more likely, and certain as those are 50% or greater.
The probability is also greater than 0%, so it's not "impossible"
Therefore, the answer must be B, Less Likely.
It happens less than half the time, but can at times happen.
Hope this helps!
The solution is, Less Likely, best describe the likelihood of this event.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
An event has a probability of 2/7.
now, we get,
A 2/7 probability means that it will happen less than half the time.
The eliminates equally likely, more likely, and certain as those are 50% or greater.
The probability is also greater than 0%, so it's not "impossible"
It happens less than half the time, but can at times happen.
Therefore, the answer must be B, Less Likely.
To learn more on probability click:
brainly.com/question/11234923
#SPJ7
Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: A is (arithmetic sequence)
and D is 1 2 3 4 5 6 7
Unfortunately, I only know the answer to those two.
Sorry.
Your friend leaves your house. She later calls you on her cell phone, saying that she's been driving at 60 miles an hour directly away from you the whole time and is now 60 miles away. How long has she been gone?
Answers
Answer: 1hr
Step-by-step explanation: Distance = speed × time
Time = Distance / Speed = 60/60
what us the circumference of circular ground of diameter d m ? find it.
answer:
[tex]\pi d \: m[/tex]
can you explain me how?
Answers
Here the diameter = dm
Formula of circumference for circle: 2πr or πd
where "d" is diameter and "r" is radius
diameter = 2(radius)For this question:
circumference:
π(d)π(dm)πdmYou have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision. / 100 points if you answer and ill give you brianliest and 5 stars\
Answers
So
Volume:-
[tex]\\ \rm\rightarrowtail LBH[/tex]
[tex]\\ \rm\rightarrowtail 2(5/4)(3)[/tex]
[tex]\\ \rm\rightarrowtail 5/2(3)[/tex]
[tex]\\ \rm\rightarrowtail 15/2[/tex]
[tex]\\ \rm\rightarrowtail 7.5cm^3[/tex]
Roger has a rope that is 3 feet long.He needs to cut it into 12 equal length pieces.How many feet loń should each piece of the rope be?
Answers
Answer:
0.25
Step-by-step explanation:
3/12 is 0.25
3 divided by 12 when simplified or reduced
The fraction 3/12 is equal to the exact decimal number.
need it ASAP If a graph shows intersecting lines that represent a system of equations, how many solutions does that system of equations have?
Infinite solutions
No solution
Two solutions
One solution
Answers
Answer: Well, the answer really depends. But here are a few ways you can figure this out.
Step-by-step explanation:
If the two lines intersect once, then they have one solution.
If they intersect twice there are two solutions
If the lines never intersect, there are no solutions
And if the lines are identical, meaning that their equation is exactly the same. There are infinite solutions.
A solution with systems of equations is determined by the point of intersection. Your answer is the point of intersection
I hope this is helpful! : )
Answer:
no s
Step-by-step explanation:
A tank in the shape of a hemisphere has a radius of 3 feet. If the liquid that fills the tank has a density of 88.2 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
Answers
Answer:
4988 pounds
Step-by-step explanation:
Volume of Hemisphere
4/3 x π x r^3 = 4/3 x 3^3 x π = 4/3 x 27π = 36π = Volume of Sphere
To calculate volume of Hemisphere = 36π / 2 = 18π foot^3
Weight of the liquid
88.2 pounds / foot^3 means that every cubic foot weighs 88.2 pounds so
88.2 pounds x 18π = 4987.5925 which to the nearest pound = 4988 pounds.
Write a congruence statement for the pair of triangles shown.
Answers
Answer:
Triangle UTS is congruent to Triangle RST.
Step-by-step explanation:
When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!
divide the sum of 39 and product of 18 and 6 by the difference of 50 and 14
Answers
Answer:
the imino acid found in protein strcjure
name the two operations used for converting weight measurement
Answers
Answer:
grams and kilograms it got delted for some reason
Step-by-step explanation:
work out
3/7 + 9/11
Give your answer as an improper fraction
Answers
Answer:
60/77 the answer is not able to be an improper fraction
Step-by-step explanation:
3/7+9/11
33/77+27/77
60/77
A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour. Which equation represents how many grams of the compound will remain after 8 hours?
A: C=260(1.038)^8C=260(1.038)^8
B: C=260(0.962)^8C=260(0.962)^8
C: C=260(0.038)^8C=260(0.038)^8
D: C=260(1-0.38)^8C=260(1−0.38)^8
Answers
The exponential equation that represents how many grams of the compound will remain after 8 hours is:
B: C=260(0.962)^8
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour, hence the equation for the mass after t hours is given by:
[tex]A(t) = 260(1 - 0.038)^t[/tex]
[tex]A(t) = 260(0.962)^t[/tex]
After 8 hours, the amount is given by:
[tex]A(t) = 260(0.962)^8[/tex]
Hence option B is correct.
More can be learned about exponential equations at https://brainly.com/question/25537936
Twice a number added to their half of itself equals 20 find the number
Answers
Answer:
[tex]x(2) + 5\\[/tex]
The number is 8 because [tex]8 * 2 = 16[/tex]
And if you add 4, you get 20
Hence, the number is 8
Answer:
8
Step-by-step explanation:
let the number be x
=> 2x+(x/2) = 20
=> 4x+x/2 = 20
=> 5x/2 = 20
=> 5x = 20*2
=> 5x = 40
=> x = 40/5
=> x = 8
can i get brainliest
someone please answer these 3 questions
Answers
Answer:
5 prism all have same volume
Step-by-step explanation:
Give full working and explanation
And I reward you with stars.
Answer this easy question ;-)
Answers
Answer:
1309 marbles
Step-by-step explanation:
Kadon has 727 marbles.Simon has: 727 - 145 = 582 marblesAll together:
Kadon marbles + Simon marbles727 marbles + 582 marbles1309 marblesPls help asap I need step by step pls I’ll give brainliest
Answers
Answer:
it would be 12
Step-by-step explanation:
Answer:
area = 100 inches^2
Step-by-step explanation:
width = x
length = 4x
x + x + 4x + 4x = 50
10x = 50
x = 5
width = 5
length = 4 × 5 = 20
area = length x width
= 20 x 5 = 100
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
There are two mystery numbers. The sum of 10 times the first number and 5 times the second number is -15. The sum of 6 times the first number and 2 times the second number is -10. What are the two numbers? please explain
Answers
Answer:
-2 and 1
Step-by-step explanation:
The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.
__
Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...
10x +5y = -15
The second relation tells us ...
6x +2y = -10
We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:
2x +y = -33x +y = -5__
We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:
(3x +y) -(2x +y) = (-5) -(-3)
x = -2 . . . . . . . . . . simplify
2(-2) +y = -3 . . . . substitute for y
y = 1 . . . . . . . . . . add 4
The two numbers are -2 and 1.