What is the graph of the system Y â 2x 3 and 2x 4y â 8?

Answers

Answer 1

The graph of the system of equations y = -2x + 3 and 2x + 4y = 8 is a pair of straight lines passing through the points (2/3, 5/3).

y = -2x + 3 …. (1)

2x + 4y = 8 …. (2)

Substitute eqn (1) in (2)

2x + 4 (-2x + 3) - 8 = 0

Using the multiplicative distributive property, we get

2x - 8x + 12 = 8

By rearranging the above eqn, we get

2x - 8x = 8 - 12

-6x = - 4

Dividing both sides by -2, we get

3x = 2

x = 2/3

Put the value of x in eqn (1)

y = -2 (2/3) + 3

y = -4/3 + 3

y = (-4 + 9)/3

y = 5/3

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What Is The Graph Of The System Y 2x 3 And 2x 4y 8?

Related Questions

Find the nth term of the sequence 4, 7, 10, 13, …

Answers

Answer:

3n+1

Step-by-step explanation:

Subtract one from all the values, you get multiples of 3 in the equation 3n=nth term

So when you add one back, your equation is 3n+1=nth term

Find the value of X. Round to the nearest tenth HELP ASAP!!!!

Answers

Answer: 22.5

Step-by-step explanation:

[tex]\sin 64^{\circ}=\frac{x}{25}\\\\x=25 \sin 64^{\circ}\\\\x \approx 22.5[/tex]

How do we combine like terms with negative coefficients
5n+6+(-7n)

Answers

Answer:

- 2n + 6

Step-by-step explanation:

note that + (-) = -

5n + 6 + (- 7n)

= 5n + 6 - 7n ← collect like terms

= 5n - 7n + 6

= - 2n + 6

Find the area of each figure as described or shown. Write final answer on blank provided. Show work. Include units as part of your answer. If needed, round answer to 2 decimal places.

Answers

Answer:

482.84u², 42.5cm², 51.5ft²

Step-by-step explanation:

1) A = 2(1 + √2)a²

A = 2(1 + √2)(80 / 8)²

A = 482.84units²

2) Square = 5²

Square = 25

T1 = 3 x 5 / 2

T1 = 7.5

T2 = 4 x 5 / 2

T2 = 10

Total = 10 + 7.5 + 25

Total = 42.5cm²

3) Rect = 4(8 + 3)

Rect = 44

T1 = 2 x 3 / 2

T1 = 3

T2 = 3 x 3 / 2

T2 = 4.5

Total = 3 + 4.5 + 44

Total = 51.5ft²

Select the interval where g is negative.
Choose 1 answer:
A)0B)2C)3

Answers

Answer:

A). 0

Step-by-step explanation:

If you look at the graph, you can see that the only time it passes through the X- Axis is at (0, -20). Therefore, the solution to y=g(x) where g is negative, would be 0.

what's y=1/4x-4 on a graph? please helppppppp!!!!

Answers

Answer:

Please see attachment.

Step-by-step explanation:

Remember, the 1/4x is the slope, and the -4 is the y-intercept.

Please see attachment for the graph.

Hope this helps!

A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. josh decides to make the house addition smaller, and he changes the scale of the drawing to 1 in. = 1.1 ft. what is the change in the scale factor from the old scale to the new scale? one-third two-thirds 2.2 3

Answers

3 is the scale factor that was changed from the previous scale to the new scale.

What is  the scale factor?

The scale factor is a way to compare figures that appear to be similar but actually have distinct scales or measurements. Let's say two circles have similar appearances but different radii. A figure's scale factor indicates how much larger or smaller it is than the original figure.

What is the change in the scale factor?

A scale drawing is a condensed representation of an original image, structure, or object in terms of dimensions. The scale drawing is typically shrunk at a fixed dimension.

The change in the scale factor = larger scale / smaller scale

3.3 / 1.1 = 3

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Answer: 3

Step-by-step explanation:

(X+m)(c+n) if m=5 and n=-7

Answers

Answer: -7/5

Step-by-step explanation:

x = - 5cm^2 - 7m^2 + 35/ m (5c - 7), C = (cross out the equal sign) 7/5 and m = (cross out the equal sign) 0 and n = -7/5

0.00000007 as a fraction

Answers

Answer:

7/100000000

Step-by-step explanation:

to find this out we can start by saying that 0.7 is 7/10

every 0 in front of 7 after that is adding another 0 to 10

so

0.07 is 7/100

0.00000007 is 7/100000000

The school canteen charges rs. 15for lunch and rs. 5for milk for each day.how much money do you spend in 6 dayson these things?also, mention the property of whole numbers that have been used.

Answers

120Rs is spend in 6 days on these things and distributive property is used

Properties of whole numbers are defined to operate basic arithmetic operations such as addition and multiplication, in an easy way. Applying these properties helps us to solve such math problems quickly, without even using calculators. These properties are almost similar to the properties of integers, although the definition for whole numbers and integers are different.

Total cost of a single day= 15 + 5 = 20Rs

∴ In 6 days total cost = 20 x 6 = 120Rs

Thus 120Rs is spend in 6 days on these things and distributive property is used.

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What is the range of the function f(x) = 6x – 2 over the interval of 3 < x ≤ 8

Answers

The range of f(x) = 6x – 2 is [16,46]

According to the statement

we have given the function f(x) = 6x – 2 and the given interval is 3 < x ≤ 8

we know that to find the range of function we have to fill the values in it and then find the range of this function.

So, range is basically a difference between the lowest and the highest value.

Here the given function is f(x) = 6x – 2

when f(3) then

f(3) = 18-2

f(3) = 16.

and when f(8) then

f(8) = 48-2

f(8) = 46.

after put the values we seen that the range of this function is 16,46.

So, The range of f(x) = 6x – 2 is [16,46]

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Answer is :

16 and 46

Step-by-step explanation:

Given function

[tex]\sf f(x) = 6x - 2 [/tex]

We need to the find the range of the function over the interval of 3 < x ≤ 8

When, x is 3

Put x = 3 in the given function,

[tex]\sf f(3) = 6(3) +2 [/tex]

[tex]\sf f(3) = 18 - 2 [/tex]

[tex]\sf f(3) = 16 [/tex]

when, x is 8

Put x in the given function,

[tex]\sf f(8) = 6(8) -2 [/tex]

[tex]\sf f(8) = 48 - 2 [/tex]

[tex]\sf f(8) = 46 [/tex]

Hence range of the function f(x) = 6x – 2 is 16 and 46.

can someone help me i know nothing about graphs

Answers

with the +4 it means that the graph will move 4 units up

Answer:

The answer is B.

Step-by-step explanation:

The function F(x) = x would be the “parent function”. Meaning the +4 we see in G(x) would be a translation, because the function is not multiplied.


if you have ever seen the formula y = mx + b then you should be able to see that +4 would be referencing b in the linear equation, and because m is the same in both lines, we can say that the two functions only change is b, because b represents the y-intercept, if b was 0 in f(x)=x and was 4 in g(x)=x+4, the graph would be shifted 4 units up.


if you want to learn how to understand functions and linear equations, I recommend using khan academy. It is really helpfull in explaining topics of math.

Я
1
Which expression is equivalent to
O
зарко
2,²
345
Зарка
2,²
3x4
44
948

Answers

Answer:

I'm sorry mate for helping for nothing but i just need more points to post my question. I am really sorry.

ayuda por favor!!!!!!!!!!!!

Answers

La solución de la ecuación de valores absolutos es x = - 1 y la solución de la inecuación de valores absolutos es x ≥ 9/2 ∨ x ≤ 3.

¿Cómo resolver ecuaciones e inecuaciones de valores absolutos por medios algebraicos?

En esta pregunta debemos resolver una ecuación de valores absolutos y una inecuación de valores absolutos, cuya resolución requiere la aplicación de la definición de valor absoluto y procedimientos algebraicos:

|3 x - 1| = |3 · x + 7|

[tex]\left|\frac{3\cdot x - 1}{3\cdot x + 7} \right| = 1[/tex]

Por definición de valor absoluto:

[tex]\frac{3\cdot x - 1}{3\cdot x + 7} = 1\,\lor\,-\frac{3\cdot x - 1}{3\cdot x + 7} = 1[/tex]

[tex]3\cdot x - 1 = 3\cdot x + 7\,\lor \,- 3\cdot x + 1 = 3\cdot x + 7[/tex]

[tex]NaN \,\lor \, 6\cdot x = -6[/tex]

x = - 1

|4 · x + 3| ≤ 15

Por definición de valor absoluto:

- 4 · x + 3 ≥ - 15 ∨ 4 · x + 3 ≤ 15

- 4 · x ≥ - 18 ∨ 4 · x ≤ 12

x ≥ 9/2 ∨ x ≤ 3

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Call line that passes through the point x, y with a y intercept of b and a slope of m can be represented by the equation y=mx + b. a line is drawn on the coordinate plane that passes through the .3, -6 and has a slope of four the y-intercept of the line is

Answers

Answer: (0, -7.2)

Step-by-step explanation:

Substituting into point-slope form, the equation is

[tex]y+6=4(x-0.3)[/tex]

The y-intercept is when x=0, so substituting in x=0,

[tex]y+6=4(-0.3)\\\\y+6=-1.2\\\\y=-7.2[/tex]

So, the y-intercept is (0, -7.2).

ASAP PLEASE I NEED YouR HELP

Subtract − 4 b 2 + 4 b − 4 from 3 b 2 + 2 b − 5 .

Answers

Step-by-step explanation:

I assume the question really looks like

-4b² + 4b - 4 is to be subtracted from 3b² + 2b - 5.

so,

3b² + 2b - 5 - (-4b² + 4b - 4) =

= 3b² + 2b - 5 + 4b² - 4b + 4 =

= 7b² - 2b - 1

What’s 1/6 to 3 dp does anyone know?

Answers

❄ Hi there,

[tex]\sf{\dfrac{1}{6}\approx0.167}[/tex], rounded to 3 DP (decimal places)

[tex]\left\vert\textsf{Decimal Places = Number of digits after the decimal point}\vert[/tex]

Why round? Because the entire number goes on for ever and ever.

So, we need to round. 1/6 rounded to 3 decimal places is 0.167. We have 3 numbers after the decimal point.

What are the possible lengths of the third hallway? between 30 yards and 60 yards between 30 yards and 90 yards between 30 yards and 120 yards between 30 yards and 150 yards

Answers

The possible length of the third hallway is between 30 yards and 150 yards.

How to find the third length of a triangle?

The hallway forms a triangle .

Therefore,  using triangle inequality theorem, It states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Hence,

90 + 60 > x

Where

x is the third side

x + 60 > 90

x + 90 > 60

Therefore, the possible length of the third hallway is between 30 yards and 150 yards.

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Answer:

D: between 30 yards and 150 yards

Carlos found that the length of the diagonal of his laptop monitor is . If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal

Answers

The size of the monitor as measured by the diagonal to the nearest whole inch, 17 inch.

What is square root?

A number's square root is a quantity that, when multiplied by itself, yields the original quantity. There are two ways to calculate the square root of a number: method of prime factorization and division strategy.

For example, both 3 and –3 are square roots of 9

The length of the diagonal of his laptop monitor is squared root of 290

Let 'D' be the diagonal of the monitor.

The,

Diagonal = √290

Use long division method to solve the value,(attached in the file)

√290 = 17.029

          = 17.03

Therefore, the value of √290 rounds to the nearest whole inch is 17 inch.

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The correct question is -

Carlos found that the length of the diagonal of his laptop monitor is squared root of 290. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal? 12 17 97 245

The angle measurements in the diagram are represented by the following expressions.

Answers

Answer:

X = 12

<B = 45°

Explanation:

From the diagram above:

Alternate exterior angles are equal. Therefore,

[tex]5x - 15 = 2x + 21 \\ collecting \: liketerms \\ 5x - 2x = 21 \: + 15 \\ 3x = 36 \\ dividing \: bothsides \: by \: 3 \\ \frac{3x}{3} = \frac{36}{3} \\ x = 12 [/tex]

For the measure of angle B

2x + 21°

2(12) + 21 = 24 + 21 = 45

Measure of angle B = 45°

iteration-Find the first 3 iterates of the function look at pic pls help!!!!!

Answers

The first 3 iterates of the function are D. 3, -3, 9.

How to calculate the value?

The function given is:

f(x) = -2x + 3

= -2(0) + 3

= 3

When x = 3

f(x) = -2x + 3

= -2(3) + 3

= -6 + 3

= -3

When x = -3

f(x) = -2x + 3

= -2(-3) + 3

= 9

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Compared to the graph of f(x) = x², the graph of g(x) = (x − 2)² +3
is the result of translating f(x)

Answers

Answer:

Vertical shift up 3

Horizontal shift to the right 2

Brainliest, please :)

Answer:

Step-by-step explanation:

f(x) is moved 2 units to the right followed by 3 units up,

Which of the following shows the power of a power property

Answers

Answer: MULTIPLYING THE EXPONENTS!!!

Step-by-step explanation:

Mark me brainliest

Rewrite each equation in factored form and solve using zero product property. Find the solutions of each equation. Use the notes about r * k = c and r + k = b. In the first problem c is 6 and b is -7. So you need the same r and k that multiply to be 6 but also add to be -7. The numbers you find will be the solutions

Answers

The factored form of the equation are as follows;

(d - 6)(d - 1) = 0(x + 9)(x + 9) = 0(u + 12)(u - 5) = 0

How to write equation in factored form?

Converting a quadratic function to factored form is called factoring.

Therefore,

let's factor the equation,

a.

d² - 7d + 6 = 0

d² - d - 6d + 6 = 0

d(d - 1) - 6(d - 1) = 0

(d - 6)(d - 1) = 0

b.

x² + 18x + 81 = 0

x² + 9x + 9x + 81 = 0

x(x + 9) + 9(x + 9) = 0

(x + 9)(x + 9) = 0

c.

u² + 7u - 60 = 0

u² - 5u + 12u - 60 = 0

u(u - 5) 12(u - 5) = 0

(u + 12)(u - 5) = 0

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3. A gardener uses 2 packages of lettuce seeds for 3 garden rows, each 5 feet long. How many packages of seeds does the gardener need to plant 45 feet of lettuce rows? Use the table to help.
Seeds (pkg) 2,4
Lettuce (rows) 3, 6



A 27
B 16
C 6
D 80


I need this with explanation please:(​

Answers

Answer:

C) 6

Step-by-step explanation:

3 garden rows = 3*5 = 15 feet

we know we need 2 packages per each 15 feet

45/15=3 so 3 15 in 45, we just multiply 3 and 2 to get 6 packages

This is confusing someone help please

Answers

Answer:

Below in BOLD.

Step-by-step explanation:

5x^2 - 6x - 2 = 0

Quadratic formula for ax^2 + bx + c = 0  is

x =  [-b ± √(b^2 - 4ac)]/ 2a    

Here we have a = 5, b = -6 and c = -2

so x =  [-(-6)  ± √((-6)^2 - 4*5*-2)]/ 2*5

=  [ 6 ± √(36 + 40)] / 10

= 0.6 ±  √76 / 10

= 0.6 ±  0.8718

= 1.4718,  -0.2718

= 1.5, -0.3 to one decimal place.

x^2 + 3x = 40

x^2 + 3x - 40 = 0

We can factor this one:

(x - 5)(x + 8) = 0

x - 5 = 0 giving x = 5 and

x + 8 = 0 giving x = -8.

Answer  x = -8, 5.

The angle measurements in the diagram are represented by the following expressions.

Answers

The angle measurements of angle B as represented in the diagram shown is 150°

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

∠A = ∠B (alternate interior angles)

Hence:

8x - 10 = 3x + 90

x = 20

∠B = 3(20) + 90 = 150°

The angle measurements of angle B as represented in the diagram shown is 150°

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Gerri purchases a coupon book with discounts for her favorite coffee shop. every coupon for the coffee shop offers the same discount. the table shows her total savings, y, based on the number of coupons, x, used from the book. a table showing coffee shop coupon savings with 2 columns and 6 rows. the first column, x, has the entries, 0, 5, 10, 15, 20. the second column, y, has the entries. negative 20, negative 10, 0, 10, 20.

Answers

Slope 2 and y intercept is 10

The question seems to be incomplete and complete and the complete question is shown in the image

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases.

When x = 0, the corresponding y-value is the y-intercept. In the particular context of word problems, the y-intercept (that is, the point when x = 0) also refers to the starting value.

Y-intercept is the point  at which the line intersects the y axis- meaning x = 0

From the table y = -20 when x= 0

y-intercept: -20

To find the slope

m = ΔY/ΔX

m = -20+10/0-5 = 2

Hence the slope is 2 and y intercept is 10

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A wall shaped like a trapezoid needs to be painted. The height of the wall is 16 feet and the bases are 20 feet and 24 feet. If one can of paint covers 20 square feet, how many whole cans of paint will the painter need to buy to paint the wall with one coat

Answers

Answer:

  18 cans

Step-by-step explanation:

The number of cans of paint will be the least integer greater than or equal to the number required to cover the area of the trapezoid.

Area of a trapezoid

The area of the wall is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the bases, and h is the height.

We are given the values b1=20 ft, b2=24 ft, h=16 ft, so the area is found to be ...

  A = 1/2(20 ft +24 ft)(16 ft) = 352 ft² . . . . . area of the wall

Cans of paint

Each can of paint covers 20 ft², so n cans of paint will cover 20n square feet. We want to find the minimum integer value of n that satisfies ...

  20n ≥ 352

  n ≥ 17.6 . . . . . . . . . divide by 20

The next larger integer is 18.

The painter will need to buy 18 cans of paint.



Compare [tex]99![/tex] and [tex]50^{99}[/tex].

Hint: Identity [tex](a+b)(a-b)=a^2-b^2[/tex].​

Answers

50^99 is greater than 99!

How to compare the numbers?

The numbers are given as:

99! and 50^99

When the above numbers are estimated using a calculator, we have:

99! = 9.332622e+155

50^99 = 1.577722e+168

Next, we compare the exponents

168 and 155

168 is greater than 155

Hence, 50^99 is greater than 99!

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For the following exercise, find the indicated function given f (x) = 2x 2 + 1 and g(x) = 3x 5.a. f ( g(2)) b. f ( g(x)) c. g( f (x)) d. ( g g)(x) e. ( f f )(2) Estimate the error in using (a) the Trapezoidal Rule and (b) Simpson's Rule with n = 16 when approximating the following integral. (6x + 6) dx The error for the Trapezoidal Rule is 0.1020 and for Simpson's Rule it is 0.0000. The error for the Trapezoidal Rule is 0.0255 and for Simpson's Rule it is 0.0013. The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0000. The error for the Trapezoidal Rule is 0.1020 and for Simpson's Rule it is 0.0200. The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0200. When comparing the wave characteristics of a wave in two different ropes, one can be sure that the wavelength and speed will be 5 points O greatest in the least dense medium smallest in the least dense medium the same regardless of the density of the medium jeff has been asked to replace a monitor on a workstation. which of the following device interfaces could he use to connect the new monitor How prime are they? For this assignment you are to: Read in all the numbers from a file, called numbers. Txt. Count how many numbers are in the file. Create a list of only all the prime numbers. Determine how many numbers are prime. Print the total number of numbers in the file. Print each of the prime numbers in the file. A prime number is a number that is only evenly divisible by itself and 1. Here is a link to more information on prime numbers if you need it: Prime Numbers (Links to an external site. ) Which of the following is/are a typical cash need(s) of one's estate?A) Funeral expensesB) Legal feesC) Outstanding debtD) Estate and inheritance taxesE) All of the above TRUE/FALSE. The first line in a while loop is referred to as the condition clause. Describe the cat from Coraline in a paragraph. Calculate the maximum wavelength of light capable of removing an electron for a hydrogen atom from the energy state characterized by the following. n = 2 which types of formulae can not be derived by an application of universal elimination ( e )? if a drug increases camp in sa nodal cells, the most likely effect is The citric acid cycle generates energy in each of the following forms except:A. PyruvateB.ATPC.FADH2D. NADH a data center architect is looking at access types and wants something that is cost-effective. they are a smaller company so they are willing to take some risks to have a lower cost. what would a good solution for them be? The pyrolysis of acetic esters to give an alkene and acetic acid is thought to involve a planar transition state and cyclic redistribution of (4n + 2) electrons. Propose a mechanism for pyrolysis of the following ester. which of the following is not a result of parasympathetic stimulation? a. salivation b. relaxation of the urethral sphincter c. increased peristalsis of the digestive viscera d. dilation of the pupils Hey 42 patient is brought into the operating room for a repair of a recurrent incarcerated, incisional hernia with a defect size of 2 cm using mesh and a recurrent reducible incisional hernia with a defect size of 2 cm. The defect length is 4 cm. What CPT and ICD 10 CM codes are reported. an electron in a hydrogen atom has energy e = -0.850 ev. in the bohr model description of the atom, what is the de broglie wavelength of this electron? Triangle ABC has the coordinates A(2, 4), B(1, 3), C(5, 0).What is the perimeter of triangle ABC? Identify in what ledger (general or subsidiary) each of the following accounts is shown.AccountsLedgera. Rent Expense. General LedgerSubsidiary Ledgerb. Accounts ReceivableCabrera. General LedgerSubsidiary Ledgerc. Notes Payable. General LedgerSubsidiary Ledgerd. Accounts PayablePacheco. General LedgerSubsidiary Ledge TRUE OR FALSE:Aspirin is an ester, an organic (carbon-containing) compound (R - CO2 - R). When an ester is mixed with Iron(III) chloride a purple solution is produced.