Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3​

Answers

Answer 1

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3​

[tex]y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1[/tex]

Plug in for y:

6x - 3(2x - 1) = 3​

6x - 6x + 3 = 3

Simplified, 3 = 3

Answer 2

Answer: this solution has infinite solutions

Step-by-step explanation:

original system:

y-2x+2 = 1

6x-3y = 3

Move 2 to right side of equation

y    -2x = -1

-3y+6x = 3

solve for y in first equation

⇒ y = 2x - 1

insert y into second equation

⇒ -3(2x-1) + 6x = 3

simplify

⇒ -6x+3+6x = 3

simplify once more

⇒ 3 = 3

this solution has infinite solutions


Related Questions

The expression 12.66d + 11.12c can be used to find the total cost of d pounds of almonds and c pounds of cashews. How much does it cost to buy pounds of almonds and pounds of cashews?

Pls help

Answers

=11.12c+12.56d you add them to together

3. x² +(y + 2)2 = 64
Center:

Radius:

Answers

Answer:

Center: (0, -2)

radius: 8

Explanation:

Given equation: x² + (y + 2)² = 64

The Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) are points of center. r denotes radius

So rewrite the equation in circle formula:

x² +(y + 2)² = 64

(x- 0)² +(y + 2)² = 8²

Identify followings:

h = 0, k = -2, radius = 8

mark drops a ball from a window 90ft above the sidewalk. The ball always bounces third it’s height. How far will the ball have to travel when it hits the sidewalk the 3rd time?
PLEASE ANSWER QUICK

Answers

Approximately 3.33 ft the third time. Hope that helps.

What is the measure of Angle A in the triangle
shown?

Answers

Answer:

44degrees

Step-by-step explanation:

I've just replaced letter A with x so that I can make it easier for me to get the value of x and after adding 54 + 82 I got 136 and when I transferred it to the other side I subtracted it from 180 because it had a positive sign before it and if it is carried out the other side it becomes a negative which means I should subtract hope you got me.

in short once a positive number is carried to the other side I mean past the equals sign then it changes to negative hope it helps

write 615000 in scientific notation​

Answers

Answer:

6.15 × 10⁵

Step-by-step explanation:

When converting a number of scientific notation, we need to move the decimal point until the number is greater than 1 and less than 10, then multiply this by 10 to the power of the number of places we moved the decimal point (negative when moving it forwards, positive when moving it backwards).

Therefore, 615000 = 6.15 × 10⁵

Find f¹(x) for the function f(x)= x/3

f¹(x) = [?]x

Answers

Answer:

3x

Step-by-step explanation:

f(x) = x/3

let , y=f(x)

or y=x/3

inter changing x and y, we get,

x=y/3

or, 3x=y. ( cross multiplication)

therefore f-1(x) 3x

Which type of question is most useful in a group discussion?
A. Closed questions
B. Open questions
C. Multiple choice questions
D. Written responses

Answers

Answer:

B

Step-by-step explanation:

it is B I am so sorry if it is wrong

Two of the angles in a triangle measure 57º and 25°. What must be the measure of the
third angle?
The measure of the third angle is



Plssss i need the answer

Answers

The measure of the third angle in the triangle is 104 degrees

How to determine the measure of the third angles?

Let the three angles in the triangle be x, y and z.

Such that:

x = 51

y = 25

The sum of angles in a triangle is 180 degrees.

So, we have:

x + y  + z = 180

Substitute known values

51 + 25 + z = 180

Evaluate the sum

76 + z = 180

Subtract 76 from both sides

z = 104

Hence, the measure of the third angle is 104 degrees

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( 100 points + brain ) My dropshipping business makes me 11,000$ - 40,000$ a month, At this rate how much money could I make in a year? how much money could I make in 20 years? how much money could I make in 60 years?

Answers

Answer:

One year: Between $132,000 and $480,000.

20 years: Between $2,640,000 and $9,600,000.

60 years: Between $7,920,000 and $28,800,000.

Step-by-step explanation:

If it makes between 11,000 and 40,000 a month, you should take both values and average them or make an estimate. Since there are 12 months in a year, 11,000*12 = $132,000 minimum, 40,000*12 = $480,000 maximum.

In 20 years, 132,000*20= $2,640,000 minimum, 480,000*20 = $9,600,000 maximum.

In 60 years, 2,640,000*3 = $7,920,000 minimum, 9,600,000*3 = $28,800,000 maximum.

If you want to be more specific, you need to find the average number of times you make certain amounts of money per month to find how likely it is to make a certain amount.

Answer:

taking my points back

Step-by-step explanation:

What is the distance between B to A
Please add the method.
The angle is 61 (a bit blurry)

Answers

OH=1980

Now

tan61=BH/OHtan61=BH/1980BH=1980tan61BH=3572(Rounded)

AB

8+35723580

Answer:

24.03 units (nearest hundredth)

Step-by-step explanation:

The distance between B and A is:  AB = AH + HB

We have been given AH, so we just need to find the measure of HB.

First, find the angle AOH using tan trig ratio:

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

[tex]\theta[/tex] = ∠AOHO = AH = 8A = OH = 19.80

[tex]\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}[/tex]

[tex]\implies \sf \angle AOH = 22.00069835^{\circ}[/tex]

   ∠BOA = ∠BOH + ∠AOH

⇒ ∠BOH = ∠BOA - ∠AOH

⇒ ∠BOH = 61° - 22.00069835°

               = 38.99930165°

Now we can find HB by again using the tan trig ratio:

Given:

[tex]\theta[/tex] = ∠BOH = 38.99930165°O = HBA = OH = 19.80

Substituting given values:

[tex]\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}[/tex]

[tex]\implies \sf HB=19.80 \tan(38.99930165^{\circ})[/tex]

[tex]\implies \sf HB=16.03332427[/tex]

Therefore:

   AB = AH + BH

⇒ AB = 8 + 16.03332427

         = 24.03 units (nearest hundredth)

help asap please and thank you !!!!!

Answers

Answer:

Hope this helps

Step-by-step explanation:

Y = 3x - 10

So, 4x + 5y = 7

= 4x + 5(3x - 10) = 7

= 4x + 15x - 50 = 7

= 19x - 50 = 7

= 19x = 7 +50

= 19x = 57

= X = 57/19

X = 3

kindly refer attachment!!!!!

PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL

Answers

Answer:

115 degrees

Step-by-step explanation:

180-165

=115

~rere

Answer:

x = 115°

Step-by-step explanation:

Given angle y = 65°

Find angle x

=> x + y = 180

=> x + 65° = 180

=> x = 180 - 65

=> x = 115°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Use the the limit of sin of x all over x as x approaches 0 equals 1 to determine the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0.

Answers

The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

Limit of the function

The limit of the function is determined as follows;

[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]

The derivative of the function;

[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]

Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

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Convert 23/9 to decimal. round your answer to the nearest thousandths.

Answers

Answer: 2.556

Step-by-step explanation:

23/9 = 2.5555555555 (endless 5)

round to nearest thousandths... three places from the decimal point.

2.5555... round up since 5 is the number next to the thousandth place.

2.556

A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.



Answers

Least likely - lemon
Middle - cherry
Most likely - grape

Suppose that you have $14,000 to invest and you are trying to decide between investing in project A or project B. If you invest in
project A, you will receive a payment of $17,000 at the end of 3 years. If you invest in project B, you will receive a payment of $56,000
at the end of 23 years. The annual interest rate is 6 percent and both projects carry no risk.
Instructions: Round your answers to the nearest dollar. Do not round your intermediate calculations.
a. What is the present value of each project? Enter your answers in the table below.
Present Value
Project A =
$
Project B =
$
b. Which project will you choose for your investment?
Project A
Project B

Answers

B ez get money and invest in big stuff that’s cheap rn

If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?

do answer.

Answers

a.b = 2a - 3b + a.b

3.5 +5.3
3.5= 2(3)-3(5)+3(5)=6-15+15=6
5.3=2(5)-3(3)+5(3)=10-9+15=10+6=16
Therefore 3.5+5.3=6+16=22

Curtis threw 15 darts at a dartboard. 40% of his darts hit the bullseye. How many darts did not hit the bullseye?

Answers

Answer:

9

Step-by-step explanation:

Because 40% hit the bullseye, we can subtract 40% from 100% meaning 60% did not hit the bullseye.

We can then convert 60% into the decimal .6 and multiply it by 15.

15 x .6 = 9

What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of time. B. This type of credit is sometimes referred to as a consumer loan. OC. This type of credit is commonly used for big ticket things like mortgages or car loans. Payments typically stay the same amount from month to month.​

Answers

Answer:

Option B

Step-by-step explanation:

Open end credit 's biggest example is our credit card

You use credit card and take the money borrow from bank as per your requirement.If you pay in time your credit score increases else decreases.

Option B is correct

can anyone tell me what points I plot these two at ? ty

Answers

Answer:

Both graphs in 2 separate attachments--placed in order

Hope it helps.

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

Let's solve for x ~

⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 4}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 4}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}[/tex]

P.S here's the graph that might help you!

Let's solve of x ~

⇢  [tex]\sf{x^2 \: + \: y^2 \: = \: 32}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 32}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}[/tex]

P.S here's the second image of the graph. so, you won't get confused.

Hope It Helps! ~

~ Learn With Sxnnysoul ~

[tex]\underline{Answer :}[/tex]

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

Which figure could Jose have constructed?​

Answers

Answer:

what is the figure so i can awnser iit

Step-by-step explanation:

?

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars. Calculate the following. (Round your answer to two decimal places.)
sample mean = x

Answers

If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.

What is Mean?

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.

Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.

Then the mean of the sample will be

[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]

Then the table is given below.

Then we have

[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]

More about the mean link is given below.

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the heat generated by stove element varies directly as a square of the voltage and inversely as a resistance. If the voltage quadruples, what needs to be done to quadruple the amount of heat generated?

Answers

Answer:

  resistance must quadruple

Step-by-step explanation:

You want to know the change in resistance required to quadruple the amount of heat if heat is proportional to the square of voltage, inversely proportional to resistance, and the voltage is quadrupled.

Resistance

Let H represent the heat generated for voltage V and resistance R. We want to find R, the new resistance required, when V is replaced by 4V, and H is replaced by 4H.

  H = V²/R

  4H = (4V)²/R'

  4(V²/R) = 16V²/R'

  R' = (16/4)R . . . . . . . multiply by RR'/(4V²)

  R' = 4R

The resistance must quadruple if the amount of heat is to be quadrupled.

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A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?

Answers

Answer:

B  =  R 100 000

Step-by-step explanation:

B will be   2  out of   4 + 3 + 2   =    2/9 of the total

            2/9 * 450 000 = 100 000

I need help asap please

Answers

Answer:

17.5

Step-by-step explanation:

Two points which lie on the line are : (0, 0) and (4, 70)

Constant of proportionality :

y₂ - y₁ / x₂ - x₁70 - 0 / 4 - 070/417.5

I need help in this question

Answers

Answer:

I am not entirely sure but The maximum is 500 and b $0.50

Given:
O {2,5}
O {1, 7, 11}
Set A = 1, 2, 5, 7, 11
Set B= 1, 4, 7, 8, 11
What is AUB?
O {1, 2, 4, 5, 8, 11}
O {1, 2, 4, 5, 7, 8, 11}
Submit Answer

Answers

Step-by-step explanation:

the united set of A and B contains every element of both sets without listing any element twice.

so, it is

{1, 2, 4, 5, 7, 8, 11}

Evaluate the following indefinite integral

Answers

Step-by-step explanation:

try this solution, the answer is underlined with orange colour.

What does this add to 3/11 x 3 1/4

Answers

Answer:

0.

Step-by-step explanation:

A spinner has three sections. This table shows the results of spinning the arrow on the spinner 80 times.

Section 1=18 Section 2=30 Section 3=32

What is the experimental probability of the arrow stopping on Section 2?

9/40

1/3

3/8

2/5

Answers

The experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex]. is the ratio of the favorable event to the total number of events.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

No of arrows given in the different section ;

Section 1=18

Section 2=30

Section 3=32

The probability that the arrow stopping on Section 2 is found as;

[tex]\rm P = \frac{Favourable \ outcomes }{Total \ outcomes } \\\\\ P= \frac{30}{18+30+32} \\\\ P=\frac{30}{80}\\\\ P= \frac{3}{8}[/tex]

Hence, the experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex].

More about the probability link is given below.

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