Solve the system of equations by graphing

u=v
4u=2v-12

Answers

Answer 1

By using the graphing method, a solution to the given system of equations is equal to -6 and -6.

What is a graph?

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Next, we would simplify the equation as follows:

4u = 2v - 12

Dividing both sides of the equation by 4, we have:

4u/4 = (2v - 12)/4

u = v/2 - 3

By critically observing the graph of this system of equations, we can logically deduce that the point of intersection is at (-6, -6).

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Solve The System Of Equations By Graphing U=v4u=2v-12

Related Questions

Complete the number sentence. Must show your work. Please help! I’m confused

Answers

Answer:

2 + (-10) = 12

Step-by-step explanation:

The great answers. Thank you. I hope for help to you.

2 + (-10) = -8
-9 + (-13) = -22
-25 + 16 = -9
-16 + (-13) = -29

A local farmer had a mouse problem in his barn. He estimated there were about 800 mice to start with. He adopted some cats and noticed that the number of mice was decreasing by 8%/wk. The graph models the number of mice x weeks after the farmer adopted the cats.

Identify and interpret the key features of the exponential function modeled in terms of this situation.

Select each correct answer.

The asymptote indicates that as the number of weeks the farmer has had the cats increases, the population of mice approaches 0.

The y-intercept represents the number of mice the farmer had in the barn at the time he adopted the cats.

The line x = 0 is an asymptote of the graph.

The point (0,30) contains the x-intercept.

The line y = 0 is an asymptote of the graph.

The y-intercept is 800.

The asymptote indicates that there were never more than 800 mice in existence.

Answers

Answer:

The asymptote indicates that as the number of weeks the farmer has had the cats increases, the population of mice approaches 0.

The y-intercept represents the number of mice the farmer had in the barn at the time he adopted the cats.

The line y = 0 is an asymptote of the graph.

The y-intercept is 800.

Step-by-step explanation:

Took the test

Ling tried to solve an equation.
12=p+6.2

12 + 6.2 = p + 6.2- 6.2 Setting up

18.2 = P Calculating

Answers

Answer:

p = 5.8

Step-by-step explanation:

12 = p + 6.2  Subtract 6.2 from both sides.  Ling subtracted 6.2 from the right, but added it to the left side.

5.8 = p

change to exponential form
(4√ x5)

Answers

First, use this rule for exponents to rewrite the radical:
n√x=x1n(4√5)5=(514)5
Now, use this rule of exponents to combine the exponents:
(xa)b=xa×b(514)5=514×5=554

Suppose you earned a $710,000 bonus this year and invested it at 8.25% per year. how much could you withdraw at the end of each of the next 20 years? select the correct answer.

Answers

Withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]

What do you mean by simple interest and compound interest?

Simple interest can be defined as the amount that is paid back using borrowed money over a period of time.

simple interest:

Simple interest can be defined as the principal of a loan or deposit that an individual puts into a bank account.

Compound interest:

Compound interest is interest that accrues on the principal and accrues interest.

Given:

Principal, P = $710000

Rate of interest, r = 8.25%

Time period, t = 20 years

withdrawal at the end of 20 years , A = [tex]P(1+r)^{t}[/tex]

A = [tex]710000(1+8.25/100)^{20}[/tex] = [tex]710000(1+0.0825)^{20}=710000(1.0825)^{20}[/tex]

Therefore, withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]

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Solve for a : a+4/5= 1/ 1/2

Answers

Answer:

[tex]a=\frac{6}{5}[/tex].

Step-by-step explanation:

1. Write the expression.

[tex]a+\frac{4}{5} =\frac{1}{\frac{1}{2} }[/tex]

2. Convert the right hand side of the equation (check attached image 1).

[tex]a+\frac{4}{5} =1*\frac{2}{1} \\ \\a+\frac{4}{5} =2[/tex]

3. Subtract 4/5 from both sides of the equation.

[tex]a+\frac{4}{5}-\frac{4}{5} =2-\frac{4}{5}\\ \\a=\frac{2}{1}-\frac{4}{5}\\\\a=\frac{2*5}{1*5}-\frac{4}{5}\\ \\a=\frac{10}{5}-\frac{4}{5}\\ \\a=\frac{10-4}{5} \\ \\a=\frac{6}{5}[/tex]

4. Verify your answer.

[tex](\frac{6}{5} )+\frac{4}{5} =\frac{1}{\frac{1}{2} }\\ \\\frac{10}{5} =2\\ \\2=2[/tex]

5. Conclude.

[tex]a=\frac{6}{5}[/tex].

17 Solve the inequality. Graph the solution. 4.2y ≤ -12.6 The solution is and then where it goes on thr number line

Answers

The solution to this inequality in interval notation is {-∞, -3} and it goes to the left on the number line.

What is an inequality?

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data such as integers, and variables in an equation based on any of the following inequality symbols:

Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).

From the information provided, we have the following inequality:

4.2y ≤ -12.6

Dividing both sides of the inequality by 4.2, we have the following:

y ≤ -12.6/4.2

y ≤ -3

In conclusion, a solution to this inequality is equal to {-∞, -3} as shown in the number line (graph) attached below.

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Melinda needed to mail a package. She used .02 stamps and .10 stamps to mail the package. If she used 15 stamps worth .78 how many of each type of stamp did she use

Answers

The number of each type of stamp used is as follows:

9 of 0.02 stamps6 of 0.1 stamps

How to find how many of each type of stamp used?

Melinda needed to mail a package. She used .02 stamps and .10 stamps to mail the package. She used 15 stamps worth 0.78. The number of each type of stamp she used can be calculated as follows:

let

x = number of 0.02 stamp

y = number of 0.10 stamp

Using system of equation,

x + y = 15

0.02x + 0.10y = 0.78

multiply equation(ii) by 50

x + y = 15

x + 5y = 39

4y = 24

y = 24 / 4

y = 6

Hence,

x = 15 - 6

x = 9

Therefore, the number of 0.02 stamps is 9 and the number of 0.10 stamp is 6.

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Write a linear function f with f(0)=7 and f(3)=1

y=mx+b

Answers

The linear function f with  f(0) = 7 and f(3) = 1 is  y = -2x + 7

How to represent linear equation?

Linear equation can be represented in slope intercept form as follows:

y = mx + c

where

m = slopec = y-intercept

Therefore,

f(0) = 7 and f(3) = 1

Using linear equation

7 = m(0) + b

b = 7

1 = m(3) + 7

1 - 7 = 3m

-6 = 3m

m = - 6 / 3

m = -2

Therefore, the linear function is y = -2x + 7

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PLEASE HELP ASAP! WILL GIVE BRAINLIEST AND FIVE STAR RATING FOR ACTUAL HELP! Describe the function‘s end behavior. f(x)=−10+6x^5+4x^3
as x→ ∞, f(x)→
as x→ −∞, f(x)→

Possible answers for both are:

-∞



0

an asymptote

Answers

Answer: As x approaches infinity, f(x) approaches infinity.

As x approaches -infinity, f(x) also approaches - infinity.

Step-by-step explanation:

You can either graph this function on an online graphing (such as desmos. com) calculator to see the end behavior, or you can try inputting some numbers in. You could put in the number 1,2,3 and see that the graph will keep on increasing to positive infinity, and input the numbers -1,-2,-3 to see that the numbers will decrease to negative infinity.

could you describe the expression 2(3+4) as a product of two factors explain

Answers

The expression 2(3+4) can be expressed as 2×7

What are factors?

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

For example the factors of 8 are 1,2,4,8. i.e 1×8=8, 2×4= 8

considering the expression 2(3+4), the value is 2(7)= 14

Therefore the expression can be expressed as product of two factors (2 and 7) as 2×7.

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Word problem involving the Pythagorean Theorem
A kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow. Find the length of the line. If necessary, round your answer to the nearest
tenth.
6
0f
x 5

Answers

The length of the line is 10ft  

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse in familiar algebraic notation, a2 + b2 = c2

Given that A kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow

We have to find a third side

By using Pythagoras' theorem. a^2+b^2=c^2

8^2+6^2=c^2

64 +36 = c^2

c^2= 100

c^2= 10

Therefore the length of the line is 10ft

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In how many ways can the digits in the number 7,550,000 be​ arranged

Answers

The number of ways the digits of the given number can be arranged would be = 5,040

What is factorials?

Factorials are mathematical expressions that are used to show the number of ways a variable can be arranged in a data set.

The number of digits found in the number 7,550,000 = 7

The number of ways the digits can be arranged would be the factorials of 7 (7!) ;

= 7×6×5×4×3×2×1

= 5,040

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The function f(x) is graphed below. How many points on the graph
represent a relative extreme value?

Answers

From the given graph of the function, the number of points on the graph representing relative extreme value are two (b and d).

As given in the question,

For the given graph of a function,

Number of points represented on the graph are 5

Points are a, b, c, d, e

Point a, c, e are on the x-axis.

Relative extreme value representing the maximum and minimum value of the graphed function.

For the given graph,

Maximum value represented by point d.

Minimum value represented by point b.

Number of points representing relative extreme values are 2 ( b and d).

Therefore, from the given graph of the function, the number of points on the graph representing relative extreme value are two (b and d).

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HELP ME PLEASE
not sure what to do

Answers

Since we are give the area, the length, and the width, we could put it in a formula.


2592=(16)(12)h


Multiply 16 x 12= 192


So now the formula is 2592= 192h


lastly, we divide 192 from 2592


h= 13.5 mm

2 3/5 divided by 9 3/5

Answers

Answer:

as decimal

0.27083333333

Answer:

2 3/5 divided by 9 3/5 is 32

What is the slope of the
function below?
(4,4)
(3, 3)
Slope = [?]

Answers

Answer:

slope is m=1

Step-by-step explanation:

Answer: 1

Step-by-step explanation: use the slope formula to find the slope m

−18 < 9x
how to solve and answer

Answers

Answer:

x> 2

Step-by-step explanation:

18< 9x  Divide both sides by 9

2<x  or x > 2  All the numbers greater than 2 is a solution.

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read. (1 point)



















2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read. (1 point)
















3. Write the system of equations using your answers from questions 1 and 2.
(2 points)















5. Solve the system of equations. Show your work. (2 points)








6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read? (2 points)

Answers

1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.

2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.

3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.

4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.

5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.

6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.

What is a system of equations?

A system of equations involves using more than one equation solved simultaneously.

Jesse's reading rate per day = 30 pages

Amir's reading rate per day = 35 pages

The number of pages read by Jesse, y = 30 + 30x

The number of pages read by Amir, y = 35x

Where x = the number of days they have been reading

Solving the equations:

y = 30 + 30x and y = 35x

35x  = 30 + 30x

35x - 30x = 30

5x = 30

x = 6 (30/5)

Jesse:

y = 30 + 30x

y = 30 + 30(6)

y = 210

Amir:

y = 35x

y = 35(6)

y = 210

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c) ¿Cuántas combinaciones se pueden hacer en seleccionar los tres lugares ganadores de una carrera de 15
caballos?

Answers

Hay un total de 2730 combinaciones posibles.

¿Qué es permutación y combinación?Las permutaciones y combinaciones forman principios de conteo, que se aplican en muchas situaciones diferentes. Una permutación es el número de arreglos diferentes que se pueden hacer a partir de un conjunto dado. Cuando se trata de permutaciones, los detalles importan porque el orden o el orden importan. Este orden en el que escribe los nombres de los países es importante, ya que escribir los nombres de los tres países {EE. UU., Brasil, Australia} o {Australia, EE. UU., Brasil) o {Brasil, Australia, EE. UU.} es diferente. En combinación, los nombres de los tres países son solo un grupo, y el orden o secuencia no importa. Obtenga más información sobre permutaciones y combinaciones en el siguiente contenido. Las permutaciones y las combinaciones son métodos que se utilizan para contar el número de resultados posibles en diversas situaciones. Las permutaciones se entienden como arreglos y las combinaciones se entienden como alternativas. Siguiendo los principios básicos del conteo, hay reglas de suma y reglas de multiplicación para una fácil aplicación del conteo. Supongamos que hay 14 niños y 9 niñas. Al elegir un niño o una niña como maestro de salón, el maestro de salón puede elegir 1 de cada 14 niños y 1 de cada 9 niñas. Puede hacerlo en sus 14 + 9 = 23 maneras (usando la regla de la suma de conteo).Cálculo

en carrera de 15 caballos si se consideran 3 posiciones

entonces número de combinaciones posibles = 15 * 14 * 13 = 2730 combinaciones posibles

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Find a point-slope form for the line that satisfies the stated conditions. Slope 4, passing through (-8,1)​

Answers

Answer: (y - 1) = 4(x + 8)

Step-by-step explanation:

The point-slope form is (y - y₁) = m(x - x₁), where:

m = slope = 4(x₁, y₁) = (-8, 1)

So, the point-slope of this line would be (y - 1) = 4(x + 8).

It takes 3.5 ounces of cocoa to make a cup of hot chocolate how much cocoa is needed to make 7 cups of hot chocolate

Answers

Answer: 24.5

Step-by-step explanation: 3.5 x 7 = 24.5

Answer: 24.5 ounces

Step-by-step explanation:


3.5 times 7 = 24.5 ounces

If you have trouble try


3.5 + 3.5 + 3.5 + 3.5 + 3.5 + 3.5 + 3.5

The average daily profit of an electronics store is $31,435. The company estimates that 15% is lost each day to returns, with a margin of error of ±4%. What is the maximum the company can expect for returned items?
$3457.85
$4621.13
$5972.65
$6638.22

Answers

Answer:

Step-by-step explanation:

The maximum that the company can expect for returned items is C. $5972.65

How to calculate the value?

From the information, the average daily profit of an electronics store is $31,435 and the company estimates that 15% is lost each day to returns, with a margin of error of ±4%.

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.

The maximum the company can expect for returned items will be:

= (15% + 4%) × Profit

= 19% × $31,435

= 0.19 × $31,435

= $5972.65

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A line intersects the points
(8, -4) and (-6, 10).
m = -1
Write an equation in point-slope form
using the point (8, -4).
-
y + 4 = [?] (x −
Enter

Answers

Answer:

y + 4 = -(x - 8)

Step-by-step explanation:

The point-slope form equation is y - y1 = m(x - x1)

Since we're given m and since they use the 4 from (8, -4) as y - (-4) = y+4, we simply need to plug in 8 into the RHS of the equation and you can check the math.

If you substitute 8 and -4 for y and x, you have:

-4 + 4 = -1(8 - 8)

0 = -1 * 0

0 = 0

You'd get -2 on both sides if you used -6 and 10, but having an equal equation means our math is true/accurate.

Graph the equation y= - 7/2 x + 2 on the coordinate plane

Answers

Refer to the attachment for your graph.

A store is having a sale on walnuts and chocolate chips. For 6 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $28. For 2 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $14. Find the cost for each pound of walnuts and each pound of chocolate chips.

Answers

Answer:

chocolate- 2 dollars walnuts- 4

Step-by-step explanation:

2 x3=6. 14-6=8

8÷2=4

Write an equation for line L in point-slope form and slope-intercept form.
L is parallel to y = 5x.
-6
-4
-2
Ay = 5x
6-
4
2
-6
L
(3,2)
6
X
5

Answers

Answer:
y-2=5x(x-3) - point slope form
y=5x-13 - slope intercept form

PLEASE HURYYY RIGHT NOW

Answers

Answer:

Only Julia's Question.

Step-by-step explanation:

Julia: 8÷[tex]\frac{1}{4}[/tex]

Tanveer: 8*1/4

Consider the function f(x) = √ x+2 and g(x) = ax+b. Find a and b, if fog (1) = 2 and g (-1)=2.

Answers

The value of a and b in the function  f(x) = √ x+2 and g(x) = ax + b , is a = 0 and b = 2  .

In the question ,

it is given that ,

the function f(x) = √(x+2) and the function g(x) = ax + b

also given that

fog(1) = 2

f(g(1)) = 2

f(a + b) = 2         .... because g(1) = a + b

√(a + b +2) = 2

Squaring both the sides

a + b + 2 = 4

a + b = 2      .......(1)

also given that

g(-1) = 2

a(-1) + b = 2

-a + b = 2         .....(2)

Adding equation (1) and (2) , we get

2b = 4

b = 2

Substituting b = 2 in the a + b = 2 , we get

a + 2 = 2

a = 2 - 2

a = 0

Therefore , The value of a and b in the function  f(x) = √ x+2 and g(x) = ax + b , is a = 0 and b = 2  .

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Given the inequality 4(n − 5) < 3(n + 11), determine which integer makes the inequality false.

S:{4}
S:{11}
S:{53}
S:{−8}

Answers

Answer:

C

Step-by-step explanation:

4(n-5)<3(n+11)

4n-20<3n+33

4n-3n<33+20

n<53

n is not 53 but less than 53.

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