Solve the systems using subsitution for 1 and 2Solve the system using elimination for question 3
Answers
3x+y=2 (a)
6x+2y= 11 (b)
Solve equation (a) for y :
3x+y = 2
y= 2-3x
Replace the y value on (b)
6x+2(2-3x) =11
6x+4-6x=11
4=11
the system has no solution.
Related Questions
A local health clinic surveys its patients about their waterdrinking habits. It found the data is normally distributed,the mean amount of water consumed daily is 62 ounces, andthe standard deviation is 5.2. How much water, in ounces,do approximately 95% of the patients drink each day?A: 56.8 to 67.2B: 54.2 to 69.8C: 51.6 to 72.4D: 41.2 to 62.0
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
water drinking habits:
mean = 62 ounces
standard deviation = 5.2 ounces
Step 02:
normally distribution:
95% ===> 2 SD
(62 + 5.2 + 5.2) ounces = 72.4 ounces ==> + 2 SD
(62 - 5.2 - 5.2) ounces = 51.6 ounces ==> - 2 SD
The answer is:
51.6 ounces - 72.4 ounces
Will give brainliest if someone helps with this question
Answers
Answer:
y=-3x-6
Step-by-step explanation:
go down 3
over 1
rise over run 3/1
it's already on -6
The dot plot shows the number of wins for 16 baseball teams. Which statement about thedata is true?.Baseball Team Wins•0123 4 5 6 7 8Number of WinsThere is a data point at 8, so most teams won 8 games.The data are clustered around 2, so most teams won exactly 2games.The data are clustered from 4 to 7, so most toams lost 4 to 7gamos.The data are clustered from 1 to 3, so most teams won 1 to 3games.
Answers
We can see on the graph that the dots represent a team, and on the x-axis is the number of wins. Looking at the graph we can see that a lot of teams won around 1-3 and just one team won 8 times, therefore, the correct answer is: The data are clustered from 1 to 3, so most teams won 1 to 3 games
36. Let f(x) = x2 + x-6 and g(x) = x2 – 2x – 15. Find f(x) 1g(x)
Answers
The numerator is
[tex]f\mleft(x\mright)=x^2+x-6[/tex]The denominator is
[tex]g(x)=x^2-2x-15[/tex]The solution is 1 + the remainder divided the denominator:
[tex]1+\frac{3x+9}{x^2-2x-15}[/tex]None of the options is correct
I would like you to help me with both A and B.
Answers
Let
x -----> ordered sandwiches
y ----> extra sandwiches
Part a
we have
x=20
y=3
ratio=x/y
substitute
ratio=20/3Part b
we have
x+y=184 -----> x=184-y ----> equation 1
x/y=20/3 -----> x=(20/3)y ----> equation 2
equate equation 1 and equation 2
184-y=(20/3)y
solve for y
(20/3)y+y=184
(23/3)y=184
y=184*3/23
y=24
Find out the value of x
x=184-24
x=160
therefore
number of sandwiches is 160Tom wants to buy a pool table thatmeasures 3 foot by 7 foot. The cost of the table is $14.50 per square foot. How much will it cost Tom to buy the pool table he wants?
Answers
ANSWER :
$304.50
EXPLANATION :
From the problem, we have a pool table with dimensions of 3 foot by 7 foot.
The area of the table is :
[tex]3ft\times7ft=21ft^2[/tex]The cost of the table is $14.50 per square foot.
So the cost of the table will be :
[tex]21\cancel{ft^2}\times\frac{\$14.50}{1\cancel{ft^2}}=\$304.50[/tex]Kita Ramin obtained a $3,000 loan to pay for a used car. She agreed to make 12 monthly payments of $266.22. What is the APR?
Answers
Answer:
APR = 6.5%
Explanation:
If Kita makes 12 payments of $266.22, the maturity value of the loan will be equal to:
V = 12 x $266.22 = $3194.64
On the other hand, the maturity value is equal to:
[tex]V=P(1+r\cdot t)[/tex]Where P is the initial amount, r is the Annual Percentage Rate APR and t is the time in years. So, replacing V by $3194.64, P by $3000, and t by 1 year (12 months), we get:
[tex]\begin{gathered} 3194.64=3000(1+r\cdot1) \\ 3194.64=3000(1+r) \end{gathered}[/tex]Now, we can solve for r as:
[tex]\begin{gathered} \frac{3194.64}{3000}=\frac{3000(1+r)}{3000} \\ 1.065=1+r \\ 1.065-1=1+r-1 \\ 0.065=r \end{gathered}[/tex]So, the annual percentage rate is 0.065 or 6.5%
expand the given number to decimal for by expanding in powers and by using the calculator short cut. 82104nine in powers, write the calculator shortcut extension for 82104nine, convert 82104nine to decimal form.
Answers
We have a number expressed in a base of 9, instead of the most common decimal base.
Then, is we have the number 82104 in 9-base, it means that we can expand it as:
[tex]82104_{\text{nine}}=8\cdot9^4+2\cdot9^3+1\cdot9^2+0\cdot9^1+4\cdot9^0[/tex]We then can expand this as:
[tex]82104_{\text{nine}}=8\cdot6561+2\cdot729+1\cdot81+0\cdot9^{}+4\cdot1[/tex]We can finally calculate what this number is in decimal form by finishing simplyfing the expression above:
[tex]\begin{gathered} 82104_{\text{nine}}=8\cdot6561+2\cdot729+1\cdot81+0\cdot9^{}+4\cdot1 \\ 82104_{\text{nine}}=52488+1458+81+4 \\ 82104_{\text{nine}}=54031 \end{gathered}[/tex]Answer:
If we decompose this number given the base 9, we get the following terms:
[tex]82104_{\text{nine}}=8\cdot9^4+2\cdot9^3+1\cdot9^2+0\cdot9^1+4\cdot9^0[/tex]The decimal form of 82104(nine) is 54031.
A radio transmission tower is 579 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 23° with the ground? How many feet long shouldthe guy wire be? Round your answer to the nearest foot and do not write the units.
Answers
The Solution:
Representing the problem in a diagram, we have
We are required to find the value of x in the diagram above.
By Trigonometrical Ratio, we have
[tex]\sin 23^o=\frac{573}{x}[/tex]Cross multiplying, we get
[tex]x\sin 23=573[/tex]Dividing both sides by sin 23, we get
[tex]x=\frac{573}{\sin23}=1466.48\approx1466\text{ }[/tex]Therefore, the correct answer is 1466.
I'm having trouble with this problem "Solve the equation -8 + 6m = 1/2 (-4m +16) for m"
Answers
Let's begin by listing out the given information:
[tex]\begin{gathered} -8+6m=\frac{1}{2}(-4m+16) \\ \end{gathered}[/tex]Let's proceed to expand the bracket. We have:
[tex]\begin{gathered} -8+6m=\frac{1}{2}(-4m+16) \\ -8+6m=-2m+8 \\ \end{gathered}[/tex]We will put like terms together, we have:
[tex]\begin{gathered} 6m+2m=8+8 \\ 8m=16 \\ \text{Divide both sides by ''8'', we have:} \\ m=\frac{16}{8}=2 \\ m=2 \end{gathered}[/tex]Solve the following system of equations by finding when they are equal to each othery = -6x + 7 y= 13 - 8x The equations are equal to each other when x = and y=
Answers
ANSWER
x = 3, y = -11
EXPLANATION
We want to find the solution to the system of equations by finding when they are equal to one another.
The equations are:
y = -6x + 7
y = 13 - 8x
Now, we equate both of them:
-6x + 7 = 13 - 8x
Collect like terms:
-6x + 8x = 13 - 7
2x = 6
Divide through by 2:
x = 6 / 2
x = 3
From the first equation:
y = -6x + 7
Put the known value of x into the equation:
y = -6(3) + 7
y = -18 + 7
y = -11
Therefore, the equations are equal to each other when x = 3 and y = -11.
we have to simplify it im not sure the right answer
Answers
(3x +2)(2x - 5)
To simplify this expression, you have to apply distributive property, as follows:
3x(2x) + 3x(-5) + 2(2x) + 2(-5) =
= 6x² - 15x + 4x - 10 =
= 6x² - 11x - 10
Find the quotient for 2,268 and 3
Answers
Given a fraction below
[tex]\begin{gathered} \frac{a}{b}=c \\ a=\text{dividend} \\ b=\text{divisor} \\ c=\text{quotient} \end{gathered}[/tex]In other to find the quotient for 2,268 and 3, we would use long division as shown below:
[tex]\frac{2268}{3}[/tex]The quotient of the division is the answer to the long division
Hence, the quotient is 756
D. The number of people in the United States with mobile cellular phones was about 142
million in 2002 and about 255 million in 2007. If the growth in mobile cellular phones
was linear, what was the approximate rate of growth per year from 2002 to 2007?
What would the expected number of people to have phones in 2010? 2015? 2020?
Show this information on a graph (years versus the number of users).
Answers
Since it is linear, we can assume a function of the form:
[tex]y(x)=mx+b[/tex]Where:
m = Slope = rate of growth
b = y-intercept
So:
[tex]\begin{gathered} x=2002,y=142 \\ 142=2002m+b_{\text{ }}(1) \\ ----------- \\ x=2007,y=255 \\ 255=2007m+b_{\text{ }}(2) \end{gathered}[/tex]Using elimination method:
[tex]\begin{gathered} (2)-(1) \\ 255-142=2007m-2002m+b-b \\ 113=5m \\ m=\frac{113}{5}=22.6 \end{gathered}[/tex]So:
Replace m into (1):
[tex]\begin{gathered} 142=2002(22.6)+b \\ b=-45103.2 \end{gathered}[/tex]The linear equation which represents this model is:
[tex]y=22.6x-45103.2[/tex]The approximate rate of growth per year from 2002 to 2007 is 22.6 million
the expected number of people to have phones in:
[tex]\begin{gathered} x=2010 \\ y=22.6(2010)-45103.2 \\ y\approx323 \end{gathered}[/tex][tex]\begin{gathered} x=2015 \\ y=22.6(2015)-45103.2 \\ y\approx436 \end{gathered}[/tex][tex]\begin{gathered} x=2020 \\ y=22.6(2010)-45103.2 \\ y\approx549 \end{gathered}[/tex]323 million of people will have phones in 2010
436 million of people will have phones in 2015
549 million of people will have phones in 2020
i need help my other tutor literally left
Answers
To determine the total area of a Pyramid you have to use the following formula:
[tex]TA=A_{\text{base}}+\frac{1}{2}(P_{\text{base}}\cdot s)[/tex]Where
A_base refers to the area of the base, in this case, it would be the area of the hexagon
P_base refers to the perimeter of the base, in this case, the perimeter of the hexagon
s indicates the slant height of the pyramid
Before you can determine the total area of the pyramid, you have to calculate the area and perimeter of the regular hexagon.
The perimeter of the hexagon
To determine the perimeter of any shape, you have to add the length of its sides, in this case, the hexagon is regular which means that all sides are equal, so the perimeter is equal to 6 times the side length (a):
For a=4
[tex]\begin{gathered} P_{\text{base}}=6a \\ P_{\text{base}}=6\cdot4 \\ P_{\text{base}}=24\text{units} \end{gathered}[/tex]The area of the hexagon
To determine this area you have to use the following formula:
[tex]A_{\text{base}}=\frac{3\sqrt[]{3}a^2}{2}[/tex]Where "a" represents the side length
For a=4, the area of the base is:
[tex]\begin{gathered} A_{\text{base}}=\frac{3\sqrt[]{3\cdot}4^2}{2} \\ A_{\text{base}}=\frac{3\sqrt[]{3}\cdot16}{2} \\ A_{\text{base}}=24\sqrt[]{3}\text{units}^2 \end{gathered}[/tex]Total area of the pyramid
Now that we determined the area and perimeter of the base, given that the slant height of the pyramid is s=6, we can calculate the total area as follows:
[tex]\begin{gathered} TA=A_{\text{base}}+\frac{1}{2}(P_{\text{base}}\cdot s) \\ TA=24\sqrt[]{3}+\frac{1}{2}(24\cdot6) \\ TA=24\sqrt[]{3}+\frac{1}{2}\cdot144 \\ TA=24\sqrt[]{3}+72 \end{gathered}[/tex]The total area of the hexagonal pyramid is 72+24√3 units²
Given that Ris between Q and T. I QR= 10 RT= 4 Find QT=
Answers
If R is between Q and T, we can conclude:
QR + RT = QT
Where:
QR = 10
RT = 4
therefore:
10 + 4 = QT
QT = 14
are 4xy^3 and -5x^3 like terms
Answers
James makes wreaths for a living. He can make 6 wreaths in 450 minutes. How many minutes does it take him to make 2wreaths?
Answers
150 minutes to make 2 wreaths
1) Gathering the data, and setting a proportion.
Then let's cross multiply.
There is a direct proportionality, between the number
6 wreaths 450 mins
2 x
6x = 900 Dividing by 6
x=150 minutes
Among all of the pairs of numbers whose difference is 12, the smallest product is
Answers
We have two numbers x and y such that their difference is 12:
[tex]\begin{gathered} x-y=12 \\ \Rightarrow x=12+y \end{gathered}[/tex]Now, we take the product of them:
[tex]x\cdot y=(12+y)\cdot y=y^2+12y[/tex]The smallest result we can get is 0 (ignoring the negative numbers, because the meaning of "small" implies an absolute value). Looking at the expression above, it is 0 for y = 0. If y = 0 then x = 12, and the difference is:
[tex]x-y=12-0=12[/tex]And their product is:
[tex]x\cdot y=12\cdot0=0[/tex]You have a $1,475 annual budget for spending onsocial media. The budget increases by 20% forDecember. What is your budget for the month ofDecember?
Answers
We have an original annual original budget of $1475. For each month of the year, we have then:
[tex]m=\frac{1475}{12}\approx122.92[/tex]Thus, we have for each month, a monthly budget of $122.92 for spending on social media.
However, in December this budget was increased by 20%, then:
[tex]122.92\cdot\frac{20}{100}=24.58[/tex]Then the budget for the month of December is:
[tex]BD=122.92+24.58\Rightarrow BD=147.5[/tex]Nelson Collins decided to retire to Canada in 10 years. What amount should he deposit so that he will be able to withdraw $80,000 at the end of each year for 25 years after he retires. Assume he can invest 7% interest compounded annually.
Answers
Answer
$1,016,699
Explanation
The amount, A that an invested sum of P, becomes over time t, at a rate of r% is given as
A = P (1 + r)ᵗ
For this question,
A = Total amount that the amount invested becomes = $80,000 × 25 = $2,000,000
P = Amount invested at the start of the 10 years before retirement = ?
r = 7% = 0.07
t = 10 years
A = P (1 + r)ᵗ
2,000,000 = P (1 + 0.07)¹⁰
2,000,000 = P (1.07)¹⁰
Note that 1.07¹⁰ = 1.967
2,000,000 = 1.967P
We can rewrite this as
1.967P = 2,000,000
Divide both sides by 1.967
(1.967P/1.967) = (2,000,000/1.967)
P = $1,016,699
Hope this Helps!!!
hey can someone pls help me with this drag and drop assignment? I’ll appreciate it :)
Answers
By using formula of area and circumference of circle, the results obtained are
1) Length of fencing used = 62.8 ft
2) Area of hot tube cover = 5024 sq. inch
3) More wall space required = 34.54 sq. inch
4) Diameter of wheel = 37 inch
What is area and circumference of circle?
Area of the circle is the total space taken by the circle.
Circumference of the circle is the length of the boundary of the circle.
Here,
1) Radius = 10ft
Length of fencing used = Circumference of circle = [tex]2\pi r[/tex]
= [tex]2\times 3.14\times 10[/tex]
= 62.8 ft.
2) Diameter of hot tub cover = 80 inches
Radius of hot tub cover = [tex]\frac{80}{2}[/tex] = 40 inches
Area of hot tub cover = [tex]\pi r^2[/tex]
= [tex]3.14 \times 40 \times 40\\[/tex]
= 5024 sq. inch
3) Radius of one wall clock = 5 inches
Area of one wall clock = [tex]3.14 \times 5 \times 5\\[/tex]
= 78.5 sq. inch
Radius of other wall clock = 6 inches'
Area of other wall clock = [tex]3.14 \times 6 \times 6[/tex]
= 113.04 sq. inch
More wall space required = [tex]113.04 - 78.5[/tex]
= 34.54 sq. inch
4) Distance travelled in one rotation = circumference of circle = 116.18 inches
Let the radius of the tire be r inch
Circumference of tire = [tex]2 \times 3.14 \times r[/tex]
By the problem,
[tex]2 \times 3.14 \times r = 116.18[/tex]
[tex]6.28 r = 116.18\\r = \frac{116.18}{6.28}\\[/tex]
r = 18.5 inch
Diameter of the wheel = [tex]18.5 \times 2\\[/tex]
= 37 inch
To learn more about area and circumference of circle, refer to the link-
https://brainly.com/question/402655
#SPJ1
ellusRotate the triangle 270° counterclockwisearound the origin and enter the newcoordinates.Enter thenumber thatbelongs in thegreen boxA (31.0 A(1,-1)B(4,-2)C II )BC.0D 2.-4)
Answers
A rotation of 270° counterclockwise is given by the following rule:
[tex](x,y)\rightarrow(y,-x)[/tex]Apply that rule to the coordinates of A, B, and C to find the coordinates of A''', B''', and C'''.
[tex]\begin{gathered} A(1,-1)\rightarrow A^{\prime\prime\prime}(-1,-1) \\ B(4,-2)\rightarrow B^{\prime\prime\prime}(-2,-4) \\ C(2,-4)\rightarrow C^{\prime\prime\prime}(-4,-2) \end{gathered}[/tex]Find the inclination, Ø, of the line with given slope [tex]m = \frac{ - 21}{5} [/tex]
Answers
we know that
the slope is equal to the the tangent of the angle
so
m=-21/5
tan(∅)=-21/5
using a calculator
∅=-76.6 degrees
but the angle lies on the second quadrant
so
∅=180-76.6
∅=103 4 degrees
the answer is the option Dbecause the angle lies in the second QuadranttIdentify the like terms. 4y, (–7x), 9y, 13
Answers
Like terms are terms that have the same variables of similar exponents.
The given terms are:
4y, (–7x), 9y, 13
Find the equation of the linear function represented by the table below in slope-intercept form.Answer: ?(Important: Please check the attached photo before answering the question)
Answers
The Slope-Intercept form of the equation of the line is:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
The slope can be found with:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Choose two points from the table. These could be the points (1,-4) and (4,-19). You can set up that:
[tex]\begin{gathered} y_2=-19 \\ y_1=-4 \\ x_2=4 \\ x_1=1 \end{gathered}[/tex]Substituting values, you get that the slope of this line is:
[tex]m=\frac{-19-(-4)}{4-1}=-5[/tex]You can substitute the slope and the first point into the equation in Slope-Intercept form:
[tex]-4=1(-5)+b[/tex]Solve for "b":
[tex]\begin{gathered} -4+5=b \\ b=1 \end{gathered}[/tex]Therefore, the Equation of this line in Slope-Intercept form is:
[tex]y=-5x+1[/tex]The following equation is a conic section written in polar coordinates.=51 + 5sin(0)Step 2 of 2: Find the equation for the directrix of the conic section.
Answers
For a conic with a focus at the origin, if the directrix is
[tex]y=\pm p[/tex]where p is a positive real number, and the eccentricity is a positive real number e, the conic has a polar equation
[tex]r=\frac{ep}{1\pm e\sin\theta}[/tex]if 0 ≤ e < 1 , the conic is an ellipse.
if e = 1 , the conic is a parabola.
if e > 1 , the conic is an hyperbola.
In our problem, our equation is
[tex]r=\frac{5}{1+5\sin\theta}[/tex]If we compare our equation with the form presented, we have
[tex]\begin{cases}e={5} \\ p={1}\end{cases}[/tex]Therefore, the directrix is
[tex]y=1[/tex]Name three real-world applications of polynomials and thoroughly explain why they impact our society.
Answers
Polynomials are algebraic expressions with several terms, in which each of them is the mutiplication of some constant by some variable raised to some non negative intger. Polynomials have applications in many problems in the real world, let's discuss some of them.
Polynomials to determine how much we need to pay.
Think of this situation: You go shopping and you would like to buy some jeans, some shirts and some shoes. Suppose the price tag is nowhere around but you'd like to take the things you choose with you so you have the correct size on the way out. Since you don't know the prices yet you can asign a variable to the price of each time you choose, let's say x for the jeans, y fot the shirst and z for the shoes. Let's assume you picked 4 jeans, 5 shirst and 2 pairs of shoes, then the cost for all of them will be represented by the polynomial:
[tex]4x+5y+2z[/tex]Once you know the price of each item you can plug them in the expression to determine the total price of them.
Polynomials in physics.
In physics the polynomials are a common ocurrence, for example, the distance and object falls from a certaing height h is given by the equation:
[tex]y=h-\frac{1}{2}at^2[/tex]Notice how the right side of the equation is a polynomial since the height h and the accelaration a are constants; then the expression that determines the distance the object has fallen is a polynomial of second degree in t.
Another example in physics of a polynomial is the total mechanical energy of an object with mass m, this is given by the polynomial:
[tex]mgh+\frac{1}{2}mv^2[/tex]Since the mass of the object m, and the acceleration of the gravity g are constants this is a polynomial of the variables h (the height of the object) and the velocity v. Once we know this we can determine the total mechanical energy of the object and this will helps us to predict the future motion given some conditions.
Polynomials in economics.
Usually we can express the cost of producing an amount x of certain item with a polynomial on x. Also we can express the revenue also as a polynomial on x.
If we would
2v – 5V = -24muti step equation
Answers
2v - 5v = -24
2v - 5v = -3v, then
-3v = -24
-3 is multiplying on the left, then it will divide on the right
v = -24/(-3)
v = 8
suppose you have 5 apples and you subtract 2 of them, how many apples are left?
You are doing the next computation: 5 apples - 2 apples = 3 apples
What is the result of 2 apples - 5 apples?
Convert: 15 meters=centimeters
Answers
EXPLANATION
The relationship between the meters and centimeters is the following:
[tex]1\text{ meter=100 centimeters}[/tex]By applying the unit method, we can get the conversion, as follows:
[tex]Number\text{ of }centimeters=15\text{ meters*}\frac{100\text{ centimeters}}{1\text{ meter}}[/tex]Multiplying terms:
[tex]Number\text{ of centimeters=1500 centimeters}[/tex]The solution is 1500 centimeters.