Solve the system of equations by using substitution.

Solve The System Of Equations By Using Substitution.

Answers

Answer 1

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

[tex]y = 2x +3 ----(1) \\\\y = x + 2 ----(2)\\\\substitute \ (2) \ in \ (1) : x + 2 = 2x + 3[/tex]

[tex]x - 2x = 3 - 2\\\\-x = 1\\\\x = -1\\\\Substitute \ x = -1 \ in \ (2) : y = -1 + 2 => y = 1[/tex]


Related Questions

Which polar coordinates represent the same point as the rectangular coordinates (-4,5)?

Answers

Answer:

2nd option

Step-by-step explanation:

To convert from (x, y ) → (r, θ )

where

r = [tex]\sqrt{x^2+y^2}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{y}{x}[/tex] )

Here (x, y ) = (- 4, 5 ), a point in the 2nd quadrant

r = [tex]\sqrt{(-4)^2+5^2}[/tex] = [tex]\sqrt{16+25}[/tex] = [tex]\sqrt{41}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{5}{4}[/tex] ) ≈ 51.3° ← related acute angle , then

θ = 180° - 51.3° = 128.7°

Thus

(- 4, 5 ) → ([tex]\sqrt{41}[/tex], 128.7° ) in polar form

Order these numbers from least to greatest.

7.13, 7.013, 7.2, 7.1371

Answers

Answer:

7.013, 7.13, 7.1371, 7.2

Step-by-step explanation:

HELP ME PLEASE I WILL GIVE BRAINLIEST!

Answers

Answer:

the correct answer is option C

Factorise x^2+4x+3
Write your steps as well please

Answers

Step-by-step explanation:

x²+4+3x²+x+3x+3x(x+1)+3(x+1)(x+1)(x+3)

hope it helps.

stay safe healthy and happy...

if a tellemarketer made 200 phone calls and 35 customers signed up what is the relative frequency of getting a customer and not getting a customer
(PLS ANSWER THIS IS DUE TMR)

Answers

Answer:

82.5% and 17.5%

Step-by-step explanation:

The telemarketer made 200 phone calls and only 35 people signed up. Therefore, we need to find the amount of people who didnt.

200 - 35 = 165

165 people did not sign up.

This meants that the frequency of getting a customer is 35/200 and not is 165/200. In percentages,

The relative frequency of not getting a customer is 82.5%

The relative frequency of getting a customer is 17.5%

Megan recently invested $2,000 dollars in a fast-growing company. Her financial advisor expects that Megan's investment will grow in value by approximately 6% every month.
a) Write a function rule I(m) that models the value of Megan's investment after m months.
b) How much will her investment be worth in two years? Round to the nearest cent.

Answers

Answer:

2090

Step-by-step explanation:

0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent

A video uploaded had 54 upvotes if the ratio of up votes to down votes was 9:8 how many down votes did the video get

Answers

Answer:

48

Step-by-step explanation:

Given data

Ratio= 9:8

Combined ratio= 9+8= 17

Upvotes= 54

Let us apply the part to all approach to find the total votes

let the total votes be x

9/17= 54/x

cross multiply

9x= 54*17

9x= 918

divide both sides by 9

x= 918/9

x=102

Hence the number of downvotes is

=102-54

=48

The table shows the number of cars sold per day at a dealership during a promotional sale.

What is the equation of the least-squares regression line, where Y hat is the predicted number of cars sold and x is the day? Round each coefficient or constant to the nearest tenth.

Answers

Answer:

We need the table

Step-by-step explanation:

Answer:

.1 ; 1.8x

y=1.8x + .1

==============

The next question, where it asks for "The table shows the number of kilograms a newborn pig weighs during its first week.

" is y=.18x + .96

[this is the next question and so fourth]

and for the one after this question with three options, it is:

21.12; 0.14; 35

then for the one after that one, it is:

64.6; -20.2; 28

then for the one after that one, it is:

(A) 5.2 + 2.2x scoring 1 point

then the one after that one, it is:

(D) 14.92 - 0.02x scoring 0 point

then the one after that one, it is:

r = .50

and last but least,

As budgets increased, the gross revenue increased; r = 0.62. (C)

==============

ED2021

here to fix statistics for you :)

Im really questioning my answer to this
(-5) × 7​

Answers

Answer:

-35

Step-by-step explanation:

-5 times 7 = -35

hope that helped :)

Answer:

- 35

Step-by-step explanation:

The product of a negative and a positive is negative, so

- 5 × 7 = - 35

Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
[tex]\left \{ {{y=5x-4} \atop {y=4x+12}} \right.[/tex]
[tex]\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.[/tex]
[tex]\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.[/tex]
[tex]\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.[/tex]
[tex]\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.[/tex]
[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]

Answers

The answers to the first two systems of equations

answer correct and fast

Answers

Hello there I hope you are having an great Day :)

1) 32780ml = 32.78

2) 37 1/2% of 24 = 9

Hopefully that helps you :)

Find x and y. (geometry)

Answers

Answer:

D

[tex]x = \frac{11}{ \tan(30 \degree) } \\ x = 11 \sqrt{3} [/tex]

[tex]y = \frac{11}{ \sin(30 \degree) } \\ y = 22[/tex]

5+5+5x500 x24000000000000

Answers

Answer:

6e+16

but that equals

32.3096909708

Answer:

6 x 10^ 17

Step-by-step explanation:

5+5+5 = 15

15 x 500 x 240000000000000

MARKING BRAINLIEST AND +50 PTS IF CORRECT!!!!

(02.01)The figure shows a pair of parallel line segments on a coordinate grid:

I added the pic.

The line segments are translated 2 units to the right to form E'F' and G'H'. Which statement describes E'F' and G'H'?

Line segments E'F' and G'H' do not intersect and are closer together than EF and GH.
Line segments E'F' and G'H' intersect at (−2, 0) and are two times farther apart than EF and GH.
Line segments E'F' and G'H' intersect at (0, −2) and are two times closer together than EF and GH.
Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.

Answers

Answer:If you have two parallel lines and shift both to the left by the same amount, that does not alter the distance between the lines. Thus, c is correct.

Step-by-step explanation:

To solve the problem "56 is what percent of 70?", Noah uses the double number line below. On the double number line, write the correct numbers at each unlabeled tick mark. Then solve the problem. Explain your answer

Answers

Answer:

80%

Step-by-step explanation:

I have filled out and attached the double number line below. From the picture, we can see that the number 56 is 80% of 70. In the image, this is represented by the second number line where 80% is on the same tick as 56 is on the first number line. Mathematically this can be calculated by dividing 56 by 70 and then multiplying that decimal value by 100 to get the percentage like so...

56 / 70 = 0.8

0.8 * 100 = 80%

HELPPPP PLEASE QUICK !!!!
What is the domain and range of the function y=2* ?
Use the graph to help!
4
-2

Answers

Answer:

what graph

Step-by-step explanation:

What is the value of x?

Answers

Answer:

if we are finding the perimeter it would be x = 24

but if it is area it would be x = 480

Step-by-step explanation:

Solve for x . Enter the solutions from least to greatest. x^2 + 3x - 4 = 0

Answers

Answer:

x^2+(4-1)x-4=0

x^2+4x-x-4=0

x(x+4)-1(x+4)=0

(x-1)(x+4)=0

either (x-1)=0                                   Or,(x+4)=0

x-1=0

x=0+1

x=1

x+4=0

x=0-4

x=-4

therefore x=-4,1

Step-by-step explanation:

The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).

In this case, a = 1, b = 3, and c = -4, so we have:

x = (-3 ± √(3² - 4(1)(-4))) / 2(1)

x = (-3 ± √(25)) / 2

x = (-3 ± 5) / 2

x₁ = (-3 + 5) / 2 = 1

x₂ = (-3 - 5) / 2 = -4

Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ2

Find the length of the missing side.

Answers

Answer: Should be 14

Step-by-step explanation:

Using Pythagorean theorem, a^2 + b^2 = c2, so 8^2+12^2=c^2, 8^2=64 & 12^2=144, so 64+144=208 then you square root 208 to get 14.22 or 4√13

(7x-3y)/(y-2x) = -(3/5).
Find the value of x/y. ​

Answers

Answer:

x =  12 y       y = 29x

     29             12

Step-by-step explanation:

x / y = 12 / 29

Cross multiply to get
5(7x - 3y) = -3(y - 2x)
35x - 15y = -3y + 6x
35x - 6x = -3y + 15y
29x = 12y
x = 12y / 29
x/y = 12 / 29

SOMEBODY PLEASE HELP ME I REALLY NEED IT

Answers

Answer:

The area is 35 square units.

Step-by-step explanation:

The entire figure is formed by four triangles and a rectangle, whose sum represents the total area ([tex]A_{T}[/tex]), in square units, represented by the following formula:

[tex]A_{T} = A_{1} + A_{2} + A_{3} + A_{4} + A_{5}[/tex] (1)

Where:

[tex]A_{1}[/tex], [tex]A_{2}[/tex], [tex]A_{3}[/tex], [tex]A_{4}[/tex] - Areas of the four triangles.

[tex]A_{5}[/tex] - Area of the rectangle.

By using the area formulas of a triangle and rectangle we expand the equation described above:

[tex]A_{T} = \frac{1}{2}\cdot (3)\cdot (6) + \frac{1}{2}\cdot (3)\cdot (2) + \frac{1}{2}\cdot (2)\cdot (2) + \frac{1}{2}\cdot (3)\cdot (6) + (2)\cdot (6)[/tex]

[tex]A_{T} = 35\,u^{2}[/tex]

The area is 35 square units.

After going on vacation, Mandy came home with $5. She spent $6 on a pair of sunglasses, $10 on snacks, $4 on a book, and $5 on arcade games. How much money did Mandy start with?​

Answers

Answer:

$30

Step-by-step explanation:

Adding up all the expenditures and the remaining amount

starting amount = expenses + remainder

starting amount = ($5 + $6 + $10 + $4) + ($5)

starting amount = $30

a)
Complete this prime factor tree:
36
b)
Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.

Answers

here u go!! hoped this helped

Round your answer to the nearest hundredth find side BC

Answers

Answer:

take 70 degree as reference angle

using cos rule

let adjacent be x

cos70=adjacent/hypotenuse

0.34=x/5

0.34*5=x

1.7=x

Step-by-step explanation:

Help plz..And No links!! I repeat No links!!

Answers

Answer:

4

Step-by-step explanation:

I need help y’all please

Answers

Answer:

12,214.51 meters cubed.

Step-by-step explanation:

it takes 2 people 5 hours to plough a field. how long does it take 3 people

Answers

7.5 hours
5/2=2.5
2.5x3=7.5
2=>5
Change hour in to
5x60=300
2=>300
1=>300/2=150
3=>150x3=450
Answer 450s
If in hour
450

Points Points Points

Answers

Yesyesyes thank you have an amazing day!

Answer:

THANK YOU!

Step-by-step explanation:

Divide 240 in the ratio 1 : 5

Answers

Answer:

40 : 200

Step-by-step explanation:

1/6 x 240 = 40

5/6 x 240 = 200

???????? HELLPLPPP ??????????

Answers

Answer:

I believe your equation is [tex]y=\frac{4}{5} x-2[/tex]

Step-by-step explanation:

Using the rise over run formula, you get the slope as 4/5. Then, you look for the y-intercept, which turned out to be -2.

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