-x+3y=11 pls sove by elimation and step by step
Answer:
Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.
Step-by-step explanation:
The given equation is:
-x + 3y = 11
To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.
Let's suppose we have another equation with x, for example:
2x + 5y = 7
We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:
-2x + 6y = 22 (multiply the first equation by -2)
2x + 5y = 7 (the second equation)
Now we can add the two equations to eliminate x:
-2x + 2x + 6y + 5y = 22 + 7
Simplifying the equation, we get:
11y = 29
Dividing both sides by 11, we get:
y = 29/11
Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:
-x + 3y = 11
Substituting y = 29/11, we get:
-x + 3(29/11) = 11
Simplifying the equation, we get:
-x + 87/11 = 11
Subtracting 87/11 from both sides, we get:
-x = 11 - 87/11
Multiplying both sides by -1, we get:
x = 87/11 - 11
Simplifying the equation, we get:
x = (87 - 121)/11
x = -34/11
Why are there usually two solutions in quadratic equations? 5. Give an example from real life where quadratics are utilized. For ideas, look it up on the internet or find examples in the textbook. Why did you pick this example?
It is crucial to that any written work is original and does not involve plagiarism.Quadratic equations are mathematical expressions that involve a variable raised to the power of two
Quadratic equations are mathematical expressions that involve a variable raised to the power of two, and they are widely used in many fields of science and engineering. The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
The reason why there are usually two solutions in quadratic equations is because of the quadratic formula, which gives the values of x that satisfy the equation. The formula is:
x = (-b ± √(b^2 - 4ac)) / 2a
The ± sign indicates that there are two possible solutions, one with a positive square root and one with a negative square root. This is because a quadratic equation typically has two x-intercepts, or roots, when graphed on a coordinate plane.
One example from real life where quadratics are utilized is in the field of physics, specifically in the study of motion. The equation for the position of an object in freefall under the influence of gravity is a quadratic equation. The equation is:
y = 1/2gt^2 + v0t + y0
where y is the position of the object at time t, g is the acceleration due to gravity, v0 is the initial velocity of the object, and y0 is the initial height of the object.
I picked this example because it illustrates how quadratic equations can be used to model real-world phenomena. In this case, the equation allows us to predict the position of a falling object at any given time. This information can be useful for engineers designing safety equipment for skydivers, for example, or for physicists studying the behavior of objects in motion.
It is important to note that while using ideas and examples from the internet or textbooks can be a helpful starting point for understanding a topic, it is crucial to ensure that any written work is original and does not involve plagiarism. Plagiarism involves using someone else's work or ideas without giving them proper credit, and it is a serious academic offense that can result in consequences such as failing an assignment, failing a course, or even being expelled from school. To avoid plagiarism, it is important to always properly cite sources and use one's own words to express ideas and information.
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The point P(9, −2) lies on the curve y = 2 8 − x . (a) If Q is the point x, 2 8 − x , find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
(i)
8.9
mPQ =
(ii)
8.99
mPQ =
(iii)
8.999
mPQ =
(iv)
8.9999
mPQ =
(v)
9.1
mPQ =
(vi)
9.01
mPQ =
(vii)
9.001
mPQ =
(viii)
9.0001
mPQ =
(b)
Using the results of part (a), guess the value of the slope of the tangent line to the curve at
P(9, −2).
m =
(c)
Using the slope from part (b), find an equation of the tangent line to the curve at
P(9, −2).
In this question, we use the slope equation and its further calculation can be defined as follows:
Slope equation \(=\bold{\frac{y_2-y_1}{x_2-x_1}}\)
\(\to \bold{f(x)= y=\frac{2}{8-x}}\\\\\\\to \bold{P(9,-2)=(x_2,y_2)}\\\\\to \bold{q(x_1, f(x))}\)
Calculating the Slope:
\(=\bold{\frac{-2-(\frac{2}{8-x})}{9-x}}\)
\(=\bold{\frac{-16+2x-2}{(9-x)(8-x)}}\\\\=\bold{\frac{(2x-18)}{(9-x)(8-x)}}\\\\=\bold{\frac{-2(9-x)}{(9-x)(8-x)}}\\\\=\bold{\frac{-2}{(8-x)}}\)
When
\(x=8.9\\\\m= \bold{\frac{-2}{(8-8.9)}} = \bold{\frac{-2}{(0.9)}}=-2.222222222\)
When
\(x=8.99\\\\m= \bold{\frac{-2}{(8-8.99)}} = \bold{\frac{-2}{(0.99)}}=-2.020202020202\)
When
\(x=8.999 \\\\m= \bold{\frac{-2}{(8-8.999)}} = \bold{\frac{-2}{(0.999)}}=-2.002002\)
When
\(x=9.1\\\\m= \bold{\frac{-2}{(8-9.1)}} = \bold{\frac{-2}{-1.1}}=1.818181\)
When
\(x=9.01\\\\m= \bold{\frac{-2}{(8-9.01)}} = \bold{\frac{-2}{-1.01}}=1.98019802\)
When
\(x=9.001\\\\m= \bold{\frac{-2}{(8-9.001)}} = \bold{\frac{-2}{-1.001}}=1.998002\)
When
\(x=9.0001\\\\m= \bold{\frac{-2}{(8-9.0001)}} = \bold{\frac{-2}{-1.0001}}=1.99980002\)
For point b:
\(P(9, -2)\\\\m = 2\)
For point c:
Line equation:
\(\to \bold{y= m(x- x_1)+y_1}\\\\\to \bold{y= 2(x-9)+(-2)}\\\\\to \bold{y= 2x-18-2}\\\\\to \bold{y= 2x-20}\\\\\)
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Matilda and Kathryn went on different road trips over spring break.
The equation below represents the number of miles Matilda drove in x hours.
y = 64x
The table below shows the number of miles Kathryn drove in x hours.
Time
in hours)
2
4
6
Distance
(in miles)
110
220
330
440
8
Who drove at a greater speed?
OA
Kathryn drove at a greater speed.
ОВ.
Matilda drove at a greater speed.
OC.
There is not enough information to determine their speeds.
OD
Matilda and Kathryn drove at the same speed.
Answer: The answer is D
Matilda drove at a greater speed
Step-by-step explanation: Just took the test on study island
A sailboat travels 3 miles in 1.5 hours. How far does it travel in 2 hours?
Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
‼️PLEASE HELP‼️‼️ Juan has $13 dollars in his piggy bank. Each week on Monday, he gets $10 for his allowance . Write a function to represent the amount of money Juan has at any given week .
Evaluates f(7)
Answer:
f(x) = 10x + 13
Function f(7) = 83
Step-by-step explanation:
y = 10x + 13
f(x) = 10x + 13
Function f(7) = 10(7) + 13
Function f(7) = 83
Find the distance between the points A and B given below.
(That is, find the length of the segment connecting A and B.)
Round your answer to the nearest hundredth.
1 unit
A
B
Answer:
I wish you good luck in finding your answer
The approximate areas of Georgia and Washington, D.C. are listed below: Georgia: 1.54 x 10^5 square kilometers Washington, D.C.: 1.77 x 10^2 square kilometers How many times larger is Georgia than Washington, D.C.? Write your answer in standard notation, rounding to the nearest tenth.
Answer:
870.1
Step-by-step explanation:
When you round it you get 870.1 but without rounding the answer is 970.056..
Please mark as brainliest
How do you figure out division expression with answer of 19.1
Answer:
its 5823
Step-by-step explanation:
help urself
3 There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?
Answer:
Number of boys = 675
Step-by-step explanation:
Given that:
There are 5 times as many boys as girls in a school.
Number of pupils in school = 810
Let,
x be the number of girls
y be the number of boys
According to given statement;
x+y=810 Eqn 1
y = 5x Eqn 2
Putting y=5x in the Eqn 1
x+5x=810
6x=810
Dividing both sides by 6
\(\frac{6x}{6}=\frac{810}{6}\\x=135\)
Putting x=135 in Eqn 2
y = 5(135)
y = 675
Hence,
Number of boys = 675
can someone please help me find the answer to the following?
For a given polygon with n sides, the formula for the exterior angles is
\(\begin{gathered} \frac{360}{n}=\theta \\ \text{where }\theta\text{ is an exterior angle. } \end{gathered}\)In our case,
\(\theta=17.14\)then, by substituting this value into our formula,we get
\(\frac{360}{n}=17.14\)By moving n to the right hand side, we have
\(360=17.14\times n\)and n is given as
\(\begin{gathered} n=\frac{360}{17.14} \\ n=21.0035 \end{gathered}\)Therefore, by rounding down this result, the answer is 21 sides.
Select the two statements about risk and return that are true or potentially true.
As the risk of an investment increases, so does the potential for a higher return.
As the risk of an investment decreases, the return potential increases.
O Diversification increases the risk of a group of investments.
O Holding stocks of companies of different sizes and from different sectors reduces investment risk in
a portfolio.
O Investors should choose only investments that move up in price at the same time.
The two statements about risk and return that are true or potentially true are:
As the risk of an investment increases, so does the potential for a higher return.Holding stocks of companies of different sizes and from different sectors reduces investment risk in a portfolio.What is risk and return?
The risk connected to a particular investment and its returns are known as risk and return in financial management. High-risk investments typically produce higher financial returns, and low-risk investments typically produce lower returns. In other words, a given investment's risk and return are directly correlated.
As the risk of an investment increases, so does the potential for a higher return because there is a direct correlation between risk and return.
Also, holding stocks of companies of different sizes and from different sectors reduces investment risk in a portfolio because on diversifying the portfolio, risk also gets divided thus, giving a satisfactory return to the investor.
Hence, the above two statements are true.
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Answer: As the risk of an investment increases, so does the potential for a higher return. and Holding stocks of companies of different sizes and from different sectors reduces investment risk in a portfolio.
Step-by-step explanation: Increased price fluctuation, upward or downward, increases risk and the possibility of a high return or a huge loss. When the risk, or price fluctuation, is low, so is the return potential. Diversification helps decrease the risk of a group of investments because the value of individual investments will increase or decrease at different time periods and help to lessen value fluctuation in the overall portfolio.
Round the number 246.13687 to the nearest thousandth
Answer:
246.137
Step-by-step explanation:
246.13687 ≈ 246.137 (rounded to the nearest thousandth)
Someone help me with this pleaseeee
Answer: (A) x⁰ = 30⁰
Ok done. Thank to me :>
Find the area of the composite figure shown below.
A. 12 cm2
B. 36 cm2
C. 24 cm2
D. 18 cm2
can you please help me ! will mark the brainliest ! thank you ! spammers will be reported.
Answer:
1st one: Commutative Property
2nd one: Identity Property
3rd one: Associative Property
Hope this helps!
A beaker of boiling water stops boiling and eventually reaches room temperature. There’s no lid on the beaker. The beaker and its contents must have:
Answer:
lost thermal energy and mass to the surroundings
Combine like terms.
9 + 12t – 6t
Question 3 options:
9 – 12t
21
21t
9 + 6t
The expression can be simplified to obtain as 9 + 6t.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given algebraic expression is 9 + 12t – 6t.
It can be simplified as follows,
9 + 12t – 6t
Here 9 is a constant.
And, the terms 12t and 6t have the same variable t.
Which implies they are like terms.
Since the like terms in an expression can be added to subtracted, the given expression can be simplified as below,
9 + 12t – 6t
⇒ 9 + 6t
Hence, the simplification of the given expression results as 9 + 6t.
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You rent an apartment that costs $1100 per month during the first year, but the rent is set to go up $110 per year. What would be the monthly rent during the 11th year of living in the apartment?
Pls answer
Answer: The initial cost on rent on your first year living there is 1100. Supposing you live there for another 11 years your rent would be 2200 per month.
Step-by-step explanation:110x11=1100 1100+1100=2200
Answer: I think it's 1,100
Step-by-step explanation: We know that the apartment costs $1100 per month during the first year but if it goes up 110 dollars per year how much would total be in 11th year?
First we need to multiply 1100 and 110 which equals 121,000
Secondly, of course we need to make sure that our anwser is correct, now we divide 121,000 with 11 years (which equals 1100)
But of course if it is not correct, I'm very sorry. But Have a nice day/night!
Hope it helped!
-GreenteaStudys
if I need 39 for 3 how many do I need for 4
Answer:
52
Explanation:
39 ÷ 3 = 13 4 × 13 = 52
Find the slope of the line tangent to the graph of the function at the given value of x.
y = x4 + 2x3 + 2x + 2 at x = -3
Answer:
To find the slope of the line tangent to the graph of the function at x = -3, we need to find the derivative of the function and evaluate it at x = -3.
First, let's find the derivative of the function y = x^4 + 2x^3 + 2x + 2:
y' = 4x^3 + 6x^2 + 2
Now, let's evaluate y' at x = -3:
y'(-3) = 4(-3)^3 + 6(-3)^2 + 2
= -108 + 54 + 2
= -52
Therefore, the slope of the line tangent to the graph of the function y = x^4 + 2x^3 + 2x + 2 at x = -3 is -52.
PLEASE HELP!!! I WILL MARK THE BRAINLIST IF I GET 2 ANSWERS!!!
Charlie bought 2 pounds of pears for $0.76 per pound and 22 pounds of grapes for $1.40 per pound. How much money in dollars and cents did Charlie pay for the pears and grapes?
Answer:
$32.32
Step-by-step explanation:
0.76p+1.40g where p = pounds of pears and g = pounds of grapes
0.76(2)+1.4(22)
32.32
Which of the equations below could be the equation of this parabola?
Answer:
The correct answer is C
Your welcome:)
The equation below could be the equation of this parabola is y = -5x².
Option A is the correct answer.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
We have,
Since the parabola vertex is at (0,0) and is open to the left, the equation of the parabola must be of the form:
y = a x², where a is a positive constant.
Now,
The only equation that fits this form is y = -5x².
Thus,
The equation below could be the equation of this parabola is y = -5x².
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Please Help The question is down below.
Answer:
C. 5
Step-by-step explanation:
Becuase the left figure is just a scaled down size of the right one, 3 x 2 = 6 so 10 ÷ 2 = 5
WooHoo! Pls Brainliest! It would mean a lot! ;)
Use the statements to write a valid conclusion.
If x > 5, then x + 7 > 11. The value of x is 8
As per the given statement :
If x > 5, then x + 7 > 11, the value of x is 8 is a valid and true conclusion.
As given in the question,
Given statement is:
If x > 5, then x + 7 > 11. The value of x is 8.
Substitute the value of x = 8 as x > 5 in the given condition to check it validity
8 + 7 = 15
And 15 > 11 is a valid conclusion.
x > 5 which represents the condition is true for the given statement.
Therefore, as per the given statement :
If x > 5, then x + 7 > 11, the value of x is 8 is a valid and true conclusion.
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Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
Three cards are dealt from a shuffled standard deck of playing cards. Find the probability that the first card dealt is red, the second is black, and the third is red. (Enter your probability as a fraction.)
There are 52 cards in a deck, half the cards aware red and half the cards are red.
First card being red is 26/52 = 1/2
After the first card is dealt there are 51 cards left and 26 are black so dealing a black card = 26/51
After 2 cards are dealt there are 50 cards left and 25 red ones left. The probability would be 25/50 = 1/2
The probability of all 3 happening = 1/2 x 26/51 x 1/2 = 13/102
Answer: 13/102
PLEASE HURRY WILL GIVE BRAINLIEST if you show your work!
Answer:
(x² + 7x + 6) ÷ (x² + 2x + 1)
This should be in the form of a fraction, I just don't know how to format it that way on here.
Step-by-step explanation:
Since your denominators are equal on both fractions, you just need to subtract your numerators.
3x² + 9x + 12 - (2x² + 2x + 6)
When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.
So this:
2x² + 2x + 6
Will become this:
2x² - 2x - 6
This is how it will look:
3x² + 9x + 12 - 2x² - 2x - 6
Now all you have to do is collect the like terms.
3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²
This is how your numerator should look so far:
x² + 9x + 12 - 2x - 6
Now we move on to the next like terms.
9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x
This is how your numerator should look so far:
x² + 7x + 12 - 6
Now we move on to the last set of like terms.
12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6
This is how your numerator should be now:
x² + 7x + 6
Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).
You are done! I hope this was clear and you understand :)
Answer:
(x² + 7x + 6) ÷ (x² + 2x + 1)
This should be in the form of a fraction, I just don't know how to format it that way on here.
Step-by-step explanation:
Since your denominators are equal on both fractions, you just need to subtract your numerators.
3x² + 9x + 12 - (2x² + 2x + 6)
When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.
So this:
2x² + 2x + 6
Will become this:
2x² - 2x - 6
This is how it will look:
3x² + 9x + 12 - 2x² - 2x - 6
Now all you have to do is collect the like terms.
3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²
This is how your numerator should look so far:
x² + 9x + 12 - 2x - 6
Now we move on to the next like terms.
9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x
This is how your numerator should look so far:
x² + 7x + 12 - 6
Now we move on to the last set of like terms.
12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6
This is how your numerator should be now:
x² + 7x + 6
Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).
You are done! I hope this was clear and you understand :)
Step-by-step explanation:
Find a degree 3 polynomial with real coefficients having zeros 3 and 1 − 4i and a lead coefficient of 1. Write P in expanded form.
\(\text{Let,}\\\\~~~~~~~x=1-4i,\\\\\implies x-1 = -4i\\ \\\implies (x-1)^2 =(-4i)^2\\\\\implies x^2 -2x +1 = -16\\\\\implies x^2 -2x +1 +16 = 0\\\\\implies x^2 -2x +17=0\\\\\text{So,}~ x^2 -2x +17 ~\text{is a factor of the 3 degree polynomial.}\\ \\\text{The polynomial is,}\\\\P(x) = (x-3)(x^2 -2x +17)\\\\~~~~~~~=x^3-2x^2+17x -3x^2 +6x -51\\\\~~~~~~~=x^3 -5x^2 +23x -51\)