How did the Virginia Declaration of Rights influence the Declaration of Independence?

A. It was the first document that was openly critical of the king.

B. It was the document Jefferson referred to when writing the Declaration of Independence.

C. It suggested that the colonies should be independent from Britain.

D. It was published as a pamphlet and built support for the Declaration.

Answers

Answer 1

Answer:

B. It was the document Jefferson referred to when writing the Declaration of Independence.

Step-by-step explanation:

Virginia's Declaration of Rights was drawn upon by Thomas Jefferson for the opening paragraphs of the Declaration of Independence. It was widely copied by the other colonies and became the basis of the Bill of Rights. Written by George Mason, it was adopted by the Virginia Constitutional Convention on June 12, 1776.

Hope  I helped answer the question:)

Answer 2
Final answer:

The Virginia Declaration of Rights influenced the Declaration of Independence through its content and circulation as a pamphlet.

Explanation:

The Virginia Declaration of Rights influenced the Declaration of Independence in several ways:

It was the document Jefferson referred to when writing the Declaration of Independence. Jefferson drew heavily on the ideas and language of the Virginia Declaration of Rights to craft the Declaration of Independence, including concepts like natural rights, the right to revolution, and the social contract.It suggested that the colonies should be independent from Britain. The Virginia Declaration of Rights asserted that all men are equal and have certain inalienable rights, which laid the foundation for the argument that the American colonies should be independent from British rule.It built support for the Declaration. The Virginia Declaration of Rights was widely circulated as a pamphlet and helped to gather support for the cause of independence, paving the way for the publication and reception of the Declaration of Independence.

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Related Questions

4.4% of what number is 66​

Answers

Answer:

1,500

Step-by-step explanation:

Find x in proportional form.

Answer: 1,500

Step-by-step explanation:

use the is/of = %/100 proportion

What 3 consecutive integers equal 84

Answers

First represent your 3 consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since their sum is 84, our equation reads x + (x + 1) + (x + 2) = 84.

Simplifying on the left side we get 3x + 3 = 84.

Now subtract 3 from both sides to get 3x = 81.

Dividing both sides by 3, we find that x = 27.

Finally, make sure you list all your answers.

If x is 27 then x + 1 is 28 and x + 2 is 29.

Answer:

27 + 28 + 29 = 84

Step-by-step explanation:

Let the three consecutive integers be x +1, x+2 and x+3

Thus,

[tex](x + 1) + (x + 2) + (x + 3) = 84[/tex]

Remove the brackets

[tex]x + 1 + x + 2 + x + 3 = 84[/tex]

Group the like terms

[tex]x + x + x + 1 + 2 + 3 = 84[/tex]

[tex]3x + 6 = 84[/tex]

To make 3x subject of formula, subtract 6 from both sides of the equation thus,

[tex]3x + 6 - 6 = 84 - 6[/tex]

[tex]3x = 78[/tex]

Divide through by 3

[tex] \frac{3x}{3} = \frac{78}{3} [/tex]

[tex]x = 26[/tex]

Since x = 26

[tex]x + 1 = 26 + 1 = 27[/tex]

[tex]x + 2 = 26 + 2 = 28[/tex]

[tex]x + 3 = 26 + 3 = 29[/tex]

Therefore, the three consecutive integers are 27, 28 and 29

Check

[tex]27 + 28 + 29 = 84[/tex]

Identify the slope and y-intercept of the
equation:
2x + 2y = -10

Answers

Answer:

Step-by-step explanation:

2x + 2y = -10

Making y as subject

2y = -2x - 10

Dividing by 2

y = -2x/2 - 10/2

y = -x - 5

Comparing with y = mx + c

Slope m = -1, y intercept c = -5

The equation is first rewritten in slope-intercept form as y = -x - 5, revealing that the slope is -1 and the y-intercept is -5.

To find the slope and y-intercept of the given equation 2x + 2y = -10, you need to rewrite it in the slope-intercept form, which is y = mx + b, where m represents the slope, and b represents the y-intercept. First, let's separate the y-term on one side by subtracting 2x from both sides of the equation:

2y = -2x - 10

Now divide the entire equation by 2 to solve for y:

y = (-2x/2) - (10/2)

y = -x - 5

Comparing this with the slope-intercept form y = mx + b, we can see that the slope (m) is -1, and the y-intercept (b) is -5.

Solve for all missing posts of triangles with the given information. B =53 degrees, a =10, b=17

Answers

Answer:

Therefore,

[tex]m\angle A =28\°\\\\m\angle C =99\°\\\\c=21\ units[/tex]

Step-by-step explanation:

Consider a Δ ABC with

m∠ B = 53°

BC = a = 10

AC = b = 17    

To Find:  

AC = c = ?  

m∠ A = ?

m∠ C =  ?

Solution:

We know in a Triangle Sine Rule Says that,  

In Δ ABC,

[tex]\dfrac{a}{\sin A}= \dfrac{b}{\sin B}= \dfrac{c}{\sin C}[/tex]

substituting the given values we get

[tex]\dfrac{a}{\sin A}= \dfrac{b}{\sin B}[/tex]

[tex]\dfrac{10}{\sin A}= \dfrac{17}{\sin 53}\\\\\sin A=0.469\\A=\sin^{-1}(0.469)=28.02\approx 28\°[/tex]

Therefore m∠A = 28°

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

[tex]\angle A+\angle B+\angle C=180\\\\28+53+\angle C=180\\\therefore m\angle C =180-81=99\°[/tex]

Therefore m∠C = 99°

Now From Sine rule we have

[tex]\dfrac{b}{\sin B}= \dfrac{c}{\sin C}[/tex]

Substituting the values we get

[tex]\dfrac{17}{\sin 53}= \dfrac{c}{\sin 99}\\\\c=21.02\approx 21\ unit[/tex]

Therefore,

[tex]m\angle A =28\°\\\\m\angle C =99\°\\\\c=21\ units[/tex]

Theodore needs to mix a 10% fungicide solution with a 50% fungicide solution to create 100 milliliters of a 26% solution. How many milliliters of each solution must Theodore use?

Answers

Answer:

Therefore  40 milliliter of 50% fungicide solution is required

Therfore  60 milliliter of 10% fungicide solution is required

Step-by-step explanation:

i) Let the 10% fungicide solution have x milliliter and the 50% fungicide solution have y milliliter.

ii) Therefore 10x + 50y = 26(x + y)

                      x + y = 100

iii) form the first equation in ii) we get

                   16 x  = 24 y   Therefore [tex]x = \frac{24}{16} y = \frac{3}{2} y[/tex]

iv) substituting the value obtained in iii) in the second equation in ii) we get

      [tex]\frac{3}{2} y + y = \frac{5}{2} y = 100[/tex]

  Therefore y = 100 ÷ 2.5 =  40 milliliter

   Therfore x = 100 - 40 = 60 milliliter

Angela worked on a straight 12% commission. Her friend worked on a salary of $750 plus a 5% commission

Answers

Final answer:

The question is about comparing Angela's 12% commission structure against her friend's $750 fixed salary plus 5% commission. The answer examines how the volume of sales would affect their respective incomes.

Explanation:

This problem is about comparing commission rates and overall income. If Angela worked on a straight 12% commission, it means that she earns 12% of the total sales she makes. Her friend, however, has a fixed salary of $750, in addition to earning 5% of his total sales as commission. To compare their incomes, we would need to know the total sales each of them makes. Generally, the more sales they make, the more beneficial the commission system becomes.

For example, if Angela made $1000 in sales, she would earn $120 (12% of $1000). If her friend made the same amount in sales, he would earn $800 ($750 salary + $50 from 5% of $1000). However, if they only made $100 in sales, Angela would earn $12, and her friend would earn, $755. So, the best system depends on the volume of sales.

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David rides his bike with a constant
speed of 12 miles per hour. How long
will he take to travel a distance of
12 miles?

Answers

It would take him an hour

Answer: 1 hour

Step-by-step explanation: if he travels 12 mph, it will take 1 hour to travel 12 miles.

Phoebe bought a pencil and a ruler. She paid £1.45.loeh bought a ruler and two pencils.she paid£1.80. How much does the ruler cost?

Answers

Answer:

$ 1.10

Step-by-step explanation:

p + r = 1.45....p = 1.45 - r

2p + r = 1.80

2(1.45 - r) + r = 1.80

2.90 - 2r + r = 1.80

-2r + r = 1.80 - 2.90

-r = - 1.10

r = 1.10 <=== a ruler costs $ 1.10

p + r = 1.45

p + 1.10 = 1.45

p = 1.45 - 1.10

p = 0.35 .......a pencil will cost $ 0.35

Final answer:

By setting up simultaneous equations based on the purchases of Phoebe and Ioeh and solving them, we find that the cost of the ruler is £1.10.

Explanation:

To determine the cost of the ruler, we need to set up two equations based on the given information about Phoebe and Ioeh's purchases and use the method of simultaneous equations.

Let's assume 'R' represents the cost of the ruler and 'P' represents the cost of one pencil.

According to the question:

Phoebe bought 1 ruler and 1 pencil, and she paid £1.45. So we get the equation: R + P = £1.45.Ioeh bought 1 ruler and 2 pencils, and she paid £1.80. So we get the equation: R + 2P = £1.80.

To find the cost of the ruler, we can solve these equations simultaneously. Subtract the first equation from the second to eliminate R and find P:

1. R + 2P = £1.80
2. R + P  = £1.45

Subtract equation 2 from equation 1:

2P - P = £1.80 - £1.45
P = £0.35

Now that we know one pencil costs £0.35, we can substitute P back into either equation to find R. Let's use the first equation:

R + P = £1.45
R + £0.35 = £1.45
R = £1.45 - £0.35
R = £1.10

Thus, the ruler costs £1.10.

Which of the relations given by the following sets of ordered pairs is a function?
A. {(5,4),(4,3),(3,2),(4,5),(2,1)}
B. {(6,1),(-3,1),(3,5),(2,4),(-1,2)}
C. {(1,2),(-4,8),(-3,5),(1,-2),(7,12)}
D. {(5,4),(5,6),(5,8),(5,10),(5,12)}

Answers

Answer:

B

Step-by-step explanation:

You can solve this by using the vertical line test. When you do the vertical line test, the vertical line should only pass through one point on the function. That means that there can to be only one value of x for every y. Set B is the only set where the x value doesn't repeat.

Final answer:

In the provided sets of ordered pairs, B and D are considered functions. A function is a relation where each input corresponds to exactly one output, and in sets B and D, this requirement is met.

Explanation:

In mathematics, a relation is considered a function if and only if every input (also called the domain or the x-coordinate) corresponds to exactly one output (also called the range or the y-coordinate). In the language of ordered pairs, an ordered pair presents itself as (x, y). If x repeats with a different y in the set, then the relation is not a function.

So let's examine the sets of ordered pairs given:

A. {(5,4),(4,3),(3,2),(4,5),(2,1)} : The input 4 has two outputs (3 and 5); thus it's not a function.B. {(6,1),(-3,1),(3,5),(2,4),(-1,2)}:: Each input has only one output; thus it's a function.C. {(1,2),(-4,8),(-3,5),(1,-2),(7,12)} : The input 1 has two outputs (2 and -2); thus it's not a function.D. {(5,4),(5,6),(5,8),(5,10),(5,12)} : Although it might seem wrong as the input 5 repeats, the rule 'every input corresponds to exactly one output' isn't violated. Here, the function is just a vertical line (not a function in traditional sense), which doesn't contradict the definition of function.

Therefore, the set of ordered pairs which are functions are B and D.

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12 yds
How many square yards of cement are needed to create
the walkway around the rectangular pool?
4 yds
12 yds
w
176 square yards
196 square yards
208 square yards
280 square yards
4 yds
4 yds
6 yds
6 yds
Pool
6 yds
yds
12 yds
4 yds
12 yds

Answers

Answer:

176 square yards

Step-by-step explanation:

The picture of the question in the attached figure N 1

we know that

The area of the walkway around the rectangular pool, is equal to the area of two trapezoids (#1 and #2), plus the area of two smaller rectangles (#3 and #4)

see the attached figure N 2 to better understand the problem

step 1

Find the area of the two trapezoids (#1 and #2)

[tex]A=2[\frac{1}{2}(b_1+b_2)h][/tex]

simplify

[tex]A=(b_1+b_2)h[/tex]

we have

[tex]b_1=12\ yd\\b_2=4+12+4=20\ yd\\h=4\ yd[/tex]

substitute

[tex]A=(12+20)(4)=128\ yd^2[/tex]

step 2

Find the area of the two smaller rectangles (#3 and #4)

[tex]A=2[LW][/tex]

we have

[tex]L=4\ yd\\W=6\ yd[/tex]

substitute

[tex]A=2[(4)(6)]=48\ yd^2[/tex]

step 3

Find the area of the walkway around the rectangular pool

[tex]128+48=176\ yd^2[/tex]

Answer:

176 sq yards

Step-by-step explanation:

Bees bill for dinner was $98. She left a 15% tip. What was the total cost including the tip?

Answers

Answer:

$112.7

Step-by-step explanation:

15%=0.15

0.15*98=14.7

98+14.7=112.7

What is the sum of the series? 4 ∑k=1 (2k^2−4)

Answers

The sum of the series [tex]\sum_{k=1}^{4}\left(2 k^{2}-4\right)[/tex] is 44.

Step-by-step explanation:

The given series is [tex]\sum_{k=1}^{4}\left(2 k^{2}-4\right)=44[/tex]

To find the sum of the series, we need to substitute the values for k in the series.

[tex]\sum_{k=1}^{4}\left(2 k^{2}-4\right)=\left[2(1)^{2}-4\right]+\left[2(2)^{2}-4\right]+\left[2(3)^{2}-4\right]+\left[2(4)^{2}-4\right][/tex]

Now, simplifying the square terms, we get,

[tex][2(1)-4]+[2(4)-4]+[2(9)-4]+[2(16)-4][/tex]

Multiplying the terms,

[tex][2-4]+[8-4]+[18-4]+[32-4][/tex]

Subtracting the values within the bracket term, we get,

[tex]-2+4+14+28[/tex]

Now, adding all the terms, we get the sum of the series,

[tex]\sum_{k=1}^{4}\left(2 k^{2}-4\right)=44[/tex]

Thus, the sum of the series is [tex]\sum_{k=1}^{4}\left(2 k^{2}-4\right)=44[/tex]

Hes right its 44

444444444444444444444

Jake and Mary are both members of a population and a simple random sample is being conducted if the chance of jake being selected is 1/800, what is the chance of Mary being selected

Answers

1/800

hope this helps:)

16. y = -5, x = 5
Determine whether the lines are perpendicular.

Answers

Answer:

  yes, they are

Step-by-step explanation:

y = -5 is a horizontal line.

x = 5 is a vertical line.

Horizontal and vertical lines are perpendicular to each other. These lines are perpendicular.

N 4n3 2m 6m 5n 2n
Identify like terms

Answers

Final answer:

In the given algebraic expression, 4n³ and 2n³, 2m and 6m, and 5n and 2n are identified as like terms.

Explanation:

The question asks to identify like terms in a given algebraic expression. Like terms in algebra are terms that have the exact same variables raised to the same powers, although they can have different coefficients.

For example, 4n³ and 2n³are like terms because they both contain the variable n to the third power.

On the other hand, 2m and 6m are like terms because they both contain the variable m to the first power.

Lastly, 5n and 2n are like terms because they contain the variable n to the first power.

Evaluate the expression -9 W + 9 when w equals 15

Answers

Answer:

The value of the given expression -9w+9 when w=15 is -126

Step-by-step explanation:

Given expression is -9w+9

To find the given expression when w=15:

That is put w=15 in the given expression we get

-9w+9=-9(15)+9

=-135+9 ( adding the like terms )

=-126

Therefore the value of the given expression -9w+9 when w=15 is -126

WILL GIVE BRAINLIEST
What is X?

Answers

Answer:

x = 20

Step-by-step explanation:

    2x + 7x = 180

⇔ 9x = 180

⇔ x = 180/9 = 20

WILL GIVE BRAINLIEST

33 < m - 91

Answers

Answer:

m > 124

Step-by-step explanation:

switch sides, add 91 to both sides then simplify :)

You need to isolate/get the variable "m" by itself on one side of the equation

33 < m - 91    Add 91 on both sides to get m by itself

33 + 91 < m - 91 + 91

124 < m    [124 is less than m]


A can company makes a cylindrical can that has a radius of 6 cm and a height of 10 cm. One of the company's
clients needs a cylindrical can that has the same volume but is 15 cm tall. What must the new radius be to meet the
client's need? Round to the nearest tenth of a centimeter.
2.7 cm
4.9 cm
O 7.3 cm
24.0 cm

Answers

Answer:

Step-by-step explanation:

V=πr²h

=3.14*6*6*10

=1130.4 cm³

New cylinder:

h = 15cm

V= 1130.4  cm³

πr²h = 1130.4

3.14*r²*15=1130.4

r²=1130.4/15*3.14

r²=24

r=√24

r=4.898 = 4.9 cm

The radius be to meet the client's need is 4.9 cm.

What is Volume?

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.

Volume is sometimes referred to as capacity.

We have,

Radius of cylinder (r)= 6 cm

Height of cylinder (h) = 10 cm

and, Height of new cylinder (H)  = 15 cm

Radius of new cylinder = R cm

Now, Volume of cylinder can be compared as

πr²h = πR²H

6 x 6 x 10 = R² x 15

360 / 15 = R²

R² = 24

R= 4.9 cm

Thys, the radius is 4.9 cm.

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The owner of a produce stand is selling bunches of grapes, priced by the pound.she rounded each measurement to the nearest 1/8 of a pound

Answers

Final answer:

Josh bought a total of 1,800 grams of fruit. This includes 1.5 kg of oranges (converted to 1,500 grams), 150 grams of grapes, and 15,000 centigrams of apples (converted to 150 grams). The weights were converted to grams to find the total weight.

Explanation:

The subject of the question you've asked pertains to Mathematics, specifically to the topic of weight measurement and addition. We have to convert different measurements to a uniform unit and then sum them up to find the total weight of all the fruits bought by Josh at the farmer's market.

To solve the problem presented in the question: Josh bought 1.5 kilograms of oranges, 150 grams of grapes, and 15,000 centigrams of apples. We want to find out the total weight of fruits in grams. First, we need to convert kilograms and centigrams to grams, since kilograms and centigrams are not directly compatible with grams. We know that 1 kilogram equals 1,000 grams, and 1 centigram equals 0.01 grams.

So, converting Josh's purchases to grams:

Oranges: 1.5 kg × 1,000 = 1,500 grams

Grapes: 150 grams (already in grams, no conversion necessary)

Apples: 15,000 cg × 0.01 = 150 grams

Now, we simply add all the weights in grams:

1,500 grams (oranges) + 150 grams (grapes) + 150 grams (apples) = 1,800 grams of fruit in total.

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The students of a bayside middle school are going on a field trip . 15 students fit in a van and 3 students will be traveling in a car. write an algebraic expression for this problem and what is the meaning of the variable in your expression

Answers

Answer:

[tex]v = 15 \\ c = v \div 5[/tex]

Step-by-step explanation:

It could be this

An item is on sale for 15% off its original cost. If the original cost of the item is represented by p, and the sale price is represented by s, which equation can be used to find the sale price of an item?
A) s= 0.75p
B)s= 0.85p
C)s=1.15p
D)s=0.015p
I need this ASAP
30 points if it’s right!

Answers

Answer:

B

Step-by-step explanation:

15% = 0.15

1 - 0.15 = 0.85

[Plug in the p and s]

In which model are 60% of the squares shaded? A grid model with 100 squares. 6 squares are shaded. A grid model with 100 squares. 36 squares are shaded. A bar diagram has 6 shaded squares and 4 unshaded squares. A bar diagram has 4 shaded squares and 6 unshaded squares.

Answers

Answer:

6 shaded squares and 4 unshaded....shaded = 60%

Step-by-step explanation:

a grid with 100 squares, 6 are shaded....6/100 = 0.06 = 6%

a grid with 100 squares, 36 are shaded....36/100 = 0.36 = 36%

6 shaded squares and 4 unshaded...6:4...added = 10

shaded = 6/10 = 0.6 = 60% <====

4 shaded squares and 6 unshaded...4:6...added = 10

shaded = 4/10 = 0.4 = 40%

Answer: The answer is C

The smith family went out to dinner. Their bill came to $67.80. If they left a 15% tip and used a $100 gift card to pay for the bill, including the tip, what is the remaining balance on the card?​

Answers

Answer: $22.03

Step-by-step explanation: 15% 67.8= 10.17. 67.8+10.17=77.97. x=remain balance. x=100.00-77.97=22.03.

What are the x-intercept and y-intercept of the graph of y=13x−6 ?

Drag and drop your answers into the boxes.

x-intercept:

y-intercept:

-6,-18,-2,2,6,18

Please hurry.














































Answers

Answer:

x intercept is 6/13

y intercept is -6

Step-by-step explanation:

x intercepted when y is zero.

y intecepted when x is zero...

Paolo wrote the following equation for the perimeter of a rectangle.
P=2(t+W)
Which equation is equivalent to the equation Paolo wrote?

Answers

Question:

Paolo wrote the following equation for the perimeter of a rectangle.

P=2(l+w)

Which equation is equivalent to the equation Paolo wrote?

Answer:

The equivalent equations are:

[tex]w = \frac{p-2l}{2}\\\\l = \frac{p-2w}{2}\\\\p = 2l+2w[/tex]

Solution:

Given that:

The equation for perimeter of rectangle written by Paolo is:

P = 2(l + w)

where

l = length side of rectangle

w = width side of the rectangle

We have to find the equivalent equation

Let us solve the equation for "w"

[tex]P = 2(l + w)[/tex]

Divide by 2 both sides

[tex]\frac{P}{2} = \frac{2(l+w)}{2}\\\\\frac{P}{2} = l + w[/tex]

[tex]\text{Subtract L on both sides of equation }[/tex]

[tex]\frac{P}{2} - l = l + w - l\\\\\frac{P}{2} - l =w[/tex]

[tex]w = \frac{p-2l}{2}[/tex]

Similarly solving for "l" we get,

[tex]l = \frac{P-2w}{2}[/tex]

Also, given equation can be written as,

[tex]P = 2(l+w)\\\\P = 2l + 2w[/tex]

Thus the equivalent equations are found

Final answer:

The equivalent equation to Paolo's originally written P=2(t+W) for a rectangle's perimeter should be P=2t+2u, assuming 't' stands for width and 'u' for length. The area function a(t) for the rectangle based on width and fixed perimeter is valid within the domain 0 <= t <= L/2.

Explanation:

The question pertains to the formation of equivalent equations to express the perimeter of a rectangle. Paolo wrote the equation P=2(t+W). However, it seems there may have been a typographical error as the correct variables should have been 't' for width and 'u' for length. Given this, the equivalent equation to Paolo's should be P = 2t + 2u, also stated as P = 2(t + u) which confirms the relationship between perimeter, length, and width for a rectangle.

From the provided context, it's also understood that the function representing the area of the rectangle, when written in terms of width (t), is a(t) = t(L/2 - t), which is valid within the domain 0 <= t <= L/2. This function helps in determining the maximum area of the rectangle for a given perimeter (L).

The relation Q is described as a list of ordered pairs, shown below.

Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }

Domain:
Range:

Answers

Answer:

Domain : {-2, -1, 0, 4}

Range: {-2, 2, 3, 4}

Answer:

b,c

Step-by-step explanation:

Pls help meeee!!! I have benchmarks monday

Answers

Answer:

therefore the correct options are:

B. the equation is an exponential decay equation.

F. $28000 represents the initial cost of an automobile that depreciates 27% per year  over the course of t years.

Step-by-step explanation:

i) the cost of an automobile is given by the equation is

 C(t) = [tex]28000\times(0.73)^{t}[/tex], where C(t) represents the cost and t represents the time in years

ii) the above equation is an exponential decay equation. It is a decay equation because growth rate is 0.73 which is less than 1 and greater than zero.

ii) when t = 0 then the cost is C(0) = 28000 represents the initial cost.

iii) from the equation in i) we can understand that the cost depreciates 27% per year over the course of t years.

therefore the correct options are:

B. the equation is an exponential decay equation.

F. $28000 represents the initial cost of an automobile that depreciates 27% per year  over the course of t years.

for elimination what is the 2 ordered pairs

-4x + 3y = -19
-4x - y = -15

Answers

Answer:

I would eliminate both of the -4x because they are identical.

Step-by-step explanation:

Cancel out the both of the -4x by eliminating them. Then subtract the 3y - y. Subtract the -19 - 15. You then will be left with 2y = -34. Solve for y. Then plug y back into the equation to solve for the x.

Hope this helped. :^)

Move constant to the left and change its sign.
Change both signs of the equation
4x+3y-19=

They both = 0

200 points What are the classifications of each system?


Drag the answer into the box to match each system.

Answers

Answer:

Part 1)Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .  

If a consistent system has exactly one solution, it is independent .  

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

[tex]x+5y=-2[/tex]

[tex]x+5y=4[/tex]

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

so

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

[tex]y=3x+4[/tex]

[tex]-2x+y=4[/tex]

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes )m=3 and m=2)

so

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

[tex]3x+y=4[/tex] ----> equation A

[tex]-6x-2y=-8[/tex] ----> equation B

Multiply equation A by -2 both sides

[tex]-2(3x+y)=-2(4)[/tex]

[tex]-6x-2y=-8[/tex] ----> equation C

Compare equation B and equation C

Are identical lines

so

The system has infinity solutions

therefore

Is a consistent dependent system

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