1. Solve this system by ELIMINATION and SUBSTITUTION in your note book. Make sure your work is neat and easy to read.
−4x + y = 6
−5x − y = 21 2.
Verify your solution algebraically by plugging your solution into each system of equations. Be sure to show this on your paper.​

Answers

Answer 1

Answer:

(x,y) = (-219/9, -818/9)

Step-by-step explanation:


Related Questions

Simplify the expression 2(w+7)+6(3w−1).please help

Answers

Answer:

20w+8

Step-by-step explanation:

hope it helps..................

Answer:

20w+8

i hope this helps u :)

PLESASE HELP ME PLEASE AND THANK YOU

Answers

Answer:

B

Step-by-step explanation:

1*3=3

2*3=6

3*3=9

etc.

Help please thank you!!!!

Answers

Answer:

I think the person with the greatest debt is Marcus cause he has -25 dollars in his bank account.

Step-by-step explanation:

Sara and Maria both have positive numbers as their bank amount.  Samuel have to deposit 10 dollars into his bank account to not be in debt while Marcus has to deposit 25 dollars. 

answer: marcus

explanation: it’s not sara or maria because neither of them are in debt. it’s not samuel because, even though he is in debt, marcus’ amount is great than samuel’s

What's the answer please

Answers

Answer:

6

Step-by-step explanation:

the answer is x=6 ..

If you can buy five Nike shirts for $20, then how many can you buy with $32?

Answers

Answer:

8 nike shirts

Step-by-step explanation:

1 nike shirt is $4

convert the following equation into slope intercept form

3y - 2x = 9

Answers

Answer:

the slope intercept form 3y-2x=9 is y=2/3x+3

given the equation f(x) = -2x^2 + 4x + 6, find the average rate of change from x = 1 and x = 2

Answers

Answer:

-2

Step-by-step explanation:

Average rate of change is another term for average slope, and is found with the equation

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2} }[/tex]

The first point is (1, 8). The second point is (2,6).

[tex]m=\frac{8-6}{1-2} \\m=-2[/tex]

Someone please help me with these too://

Answers

Answer:

1.

The slope is 2

The y-intercept is -10

equation: y = 2x - 10

2.

Slope: 2.5

y-intercept: 1

Equation: y = 2.4x + 1

Step-by-step explanation:

1.

x      y

2      12

4      16

8      24

10     28

from 12 to 16 you add 4

from 2 to 4 you add 2

y/x = 4/2 = 2

The slope is 2

The y-intercept is -10

equation: y = 2x - 10

I got the y-intercept because I went from 12 to 0 which is -12, and then 2 - 12 and it's -10

__________________________________________________________

2.

x       y

5      4

20   10

30    14

35    16

from 4 to 10, u add 6

from 5 to 20 you add 15

y/x = 15/6 = 2.5

Slope: 2.5

y-intercept: 1

Equation: y = 2.4x + 1

I got the y-intercept because I went from 4 to 0 which is -4, and 5 - 4 is 1.

Hope this helped

What is the solution to 3|-3x+9|=-18? ​

Answers

Answer:

There is no solution to the problem.

Step-by-step explanation:

Key skills: Absolute Value, Division, One Variable Equation

1) We have the equation 3|-3x+9|=-18

2) First, divide by 3 on both sides.

-18/3 is -6

3) This means --> |-3x+9| = -6

4) Absolute Value cannot be negative so there is no solution.

Hope you understood and have a nice day!! :D

On comparing the ratios of the coefficients, find out whether the pair of equations x – 2y =0 and 3x + 4y -20 =0 is consistent or inconsistent.​

Answers

Answer:

The pair of equations is consistent

Step-by-step explanation:

A consistent system of equations has at least one solution

The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutions

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, and  [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex] , then the system is consistent independent and has exactly one solution 

x - 2y = 0

∴ The coefficient of x ⇒ a = 1

∴ The coefficient of y ⇒ b = -2

∴ The numerical term ⇒ c = 0

∵ 3x + 4y - 20 = 0

→ Add 20 to both sides

∴ 3x + 4y - 20 + 20 = 0 + 20

3x + 4y = 20

∵ The coefficient of x ⇒ d = 3

∵ The coefficient of y ⇒ e = 4

∵ The numerical term ⇒ f = 20

a ≠ d

b ≠ e

c ≠ f

∵  [tex]\frac{a}{d}[/tex] = [tex]\frac{1}{3}[/tex]

∵  [tex]\frac{b}{e}[/tex] = [tex]\frac{-2}{4}[/tex] = [tex]\frac{-1}{2}[/tex]

[tex]\frac{a}{d}[/tex][tex]\frac{b}{e}[/tex]

→ By using rule 3 above

The pair of equations is consistent

Drag statements and reasons to each row to show why the slope of the line between P and Q is the same as the slope between Q and R, given that triangles A and B are similar.

Answers

hi i know i’m late but to help out any future people, the answer is

Row One: Statement: 3/2=slope Reason: Definition of Slope

Row 2: Statement: 3/2=6/4 Reason: Triangle A is similar to Triangle B

Answer:

Step-by-step explanation:

You bought 50 shares of stock at $55 per share and sold them for $61 per share. The sale involves a broker’s commission of $0.30 per share. What is your profit?

a) $215
b) $285
c) $315
d) $385

Answers

Answer:

The profit made is;

b) $285)

Step-by-step explanation:

The given parameters are;

The number of shares bought, n = 50

The price each share is bought, CP = $55

The amount at which each share is sold, SP = $61

The amount the broker received per share, E = $0.30

Therefore, the amount of profit, 'P', is given as follows;

P = n × (SP - CP - E)

By substituting the values for the variables, we have;

P = 50 × (61 - 55 - 0.3) = 285

The amount made as profit, P  = $285.00.

If Buddy the Elf stands 6'3" tall and looks up at the Empire State Building (1454' high), what is the angle of elevation if Buddy is 206' from the base of the Empire State Building?

Answers

Answer:

Step-by-step explanation:

If Buddy the Elf stands 6'3" tall and looks up at the Empire State Building (1454' high), what is the angle of elevation if Buddy is 206' from the base of the Empire State Building?

We are to find the angle of elevation which is calculated using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent

Where:

Opposite = 1454'

Adjacent = 206

tan θ = 1454'/206

plss find this one HCF
a³,a²,a​

Answers

Step-by-step explanation:

a³,a²,a

first expression

=a×a×a

second expression

=a×a

third expression

=a

HCF=a^4

Jamon can type 300 words in 8 minutes. At this rate, how many words can he type in 20 minutes?

Answers

Ok so I did the math and got 750! Correct me if I’m wrong please! :)

SIMPLE INTEREST

Interest = $40
Principal = $400
Interest rate = ?
Time = 2 years

Answers

442 is what I got on my calculator I’m not amazing at math I’m sorry if I’m wrong

Answer:

442

Step-by-step explanation:

Is this statement true or false?
p = 2 is a solution to p – 5 <20


O true
O false

Answers

Answer:

true

Step-by-step explanation:

Answer:

it is the solution

Step-by-step explanation:

because p is 2

2-5<20

-3<20 which is true

Please help, need help

Answers

Answer:

Step-by-step explanation:

ΔXYZ

m∠X = 52°, m∠Y = 106°, m∠Z = 180° - (106° + 52°) = 22°

[tex]\frac{13.2}{6.6}[/tex] = [tex]\frac{17.4}{8.7}[/tex] = 0.5

Find the total amount given the original price and tax or tip rate. Round to the nearest hundredth if necessary.

Original price: $156.67

Tax or tip rate: 6%

Answers

Answer:

Step-by-step explanation:

if we tip/tax  6% of 156.67 we will do:

156.67*(6/100)=9.40 this is the amount of tip

156.67+9.40=166.07

Someone Please help meee?

Answers

Answer:

ghk and lkh are alternate

you are looking for a z shape if that helps xx

Based on the given information, determine which two statements are true and which is a lie. Explain what is incorrect about the “lie.”

Answers

Answer:

The first statement is a lie, second and third statement is true.

Step-by-step explanation:

Consider the provided information.

For two similar triangles, if the scale factor is a : b, then the ratio of their perimeters will be a : b.

For two similar triangles, if the scale factor of a : b, then the ratio of their areas will be [tex]a^2 : b^2[/tex].

For two similar triangles, if the scale factor is a : b, then the ratio of their altitudes will be a : b.

It is given that the ratio of perimeters is 6:1 which is incorrect as the ratio should be 3:1.

It is given that the ratio of areas is 9:1 which is correct because [tex]3^2 : 1^2=9:1[/tex].

It is given that the ratio of the altitude is 3:1 which is correct.

Hence, the first statement is a lie, second and third statement is true.

Complete the following triangle congruence statement:



△FDE≅△

Answers

TRS because of SSS, SAS, SSA, ASA, and probably others.

Brainliest?

A.y=50+0.15x
B.y=50+0.45x
C.y=150+0.45x
D.y=150+0.15x

Answers

Answer:

D

Step-by-step explanation:

you get 150 by taking the product of 50 and 3, this eliminates answers 'a' and 'b'

since the question states the cost per mile driven is $1.50  and 'x' represents miles driven, D is the answer

The cost of a car rental is ​$25 per day plus 22 per mile. You are on a daily budget of ​$90. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

Answers

Answer: You can drive, at most, 2.95 miles per day.

x ≤ 2.95

Step-by-step explanation:

In a single day, you can spend at most $90

Then if C represents the cost of renting the car, then we will have the inequality:

C ≤ $90

Now let's find the equation for C.

We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:

C = $25 + x*$22.

We can now replace that in the inequality:

$25 + x*$22 ≤ $90

Now let's isolate the variable x

x*$22 ≤ $90 - $25

x*$22 ≤ $65

x ≤ $65/$22 = 2.95

x ≤ 2.95

You can drive at most, 2.95 miles per day.

To find other inequalities with the same solution we can start with the solution:

x ≤ 2.95

Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)

Let's multiply both sides by $10:

x*$10 ≤ 2.95*$10 = $29.5

x*$10 ≤ $29.5

Now let's add the same number in both sides, for example, $5.

x*$10 + $5 ≤ $29.5 + $5 = $34.5

x*$10 + $5 ≤ $34.5

We could write this problem as:

"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"

You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.

are 5(8y - 8) and 40y - 40 equal?​

Answers

Answer:

yes

Step-by-step explanation:

5(8y-8) = 5*8y - 5*8 by distributive property. simplify that, you get 40y-40, which is equal to 40y-40.

I hope this helped, please give brainliest if this is correct! Thank you!

Zellie is taking the stairs in her building from her floor to the top of the building. After 2 minutes, she was 100 steps from the bottom floor. After 5 minutes she was 196 steps from the bottom floor.

Answers

Answer:

The question seems to be incomplete, so i will think that this is a linear equation, where we can find the velocity at which she moves, and also her initial position.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case we have two points:

"After 2 minutes, she was 100 steps from the bottom floor."

this can be represented with the point: (2min, 100 steps)

" After 5 minutes she was 196 steps from the bottom floor"

This can be represented with the point (5min, 196 steps)

With this, we can find the slope of this equation:

a = (196 steps - 100 steps)/(5min - 2min) = 96steps/3min = 32 steps/min

This means that she does 32 steps in one minute.

Then we can write her positon equation as:

y = (32steps/min)*x + b

where x represents the time, and b is her initial position.

If we replace x by 2 min, and y for 100 steps, we get:

100steps = (32steps/min)*2min + b

100 steps = 64 steps + b

100 steps - 64 steps = b = 36 steps.

This means that she started to take the stairs 36 steps from the bottom floor.

During the first six months of the year, the car dealership sold 47 cars, 53 cars, 62 cars, 56 cars, 46 cars, and 48 cars. What was the average number of cars sold per month during the first six months of the year?

Answers

Answer:

52 cars

Step-by-step explanation:

During the first six months of the year the car dealership sold

53 cars

47 cars

62 cars

56 cars

46 cars

48 cars

Therefore the average number of cars sold per month can be calculated as follows

= 53+47+62+56+46+48/6

= 312/6

= 52

Hence an average of 52 cars is sold monthly

The amount of money spent on a pizza for club activities varies directly with the number of pizzas bought. If $135 will pay for fifteen pizzas, then how many pizzas can be bought with $252?

Answers

Answer:

28 pizzas can be bought

Step-by-step explanation:

you have to find the unit rate of the pizzas.

so 135 divided by 15 which is 9

and then you divide 252 by 9

It is found that 28 pizzas can be bought with 252 dollar.

What is unit rate?

There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.

We have been given amount of money spent on a pizza for club activities varies directly with the number of pizzas bought.

We need to find the unit rate  of the pizzas

Unit rate = Total amount/ Number of pizzas

Unit rate = 35/15

Unit rate = 9

Also,Unit rate = 259/13

Unit rate = 28

Therefore, 28 pizzas can be bought.

To learn more about the unitary method, please visit the link given below;

brainly.com/question/23423168

#SPJ2

Consider the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2. What is the rectangular form?

Answers

Answer: C on edge

Step-by-step explanation:

The rectangular form of the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2 is shown in the option third, option third is correct.

What are parametric equations?

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

The missing options are in the attached picture please refer to the picture.

We have two parametric equations:

x = 4cos(t) – 3 and

y = 5sin(t) + 2

From the options plug x and y values in the equation:

[tex]\rm \dfrac{(x+3)^2}{16}+\dfrac{(y-2)^2}{25}=1\\[/tex]

[tex]\rm \dfrac{(4cos(t)-3+3)^2}{16}+\dfrac{(5sin(t)+2-2)^2}{25}=1\\[/tex]

[tex]\rm \dfrac{(4cos(t))^2}{16}+\dfrac{(5sin(t))^2}{25}=1\\[/tex]

cos²t + sin²t = 1  (true)

Thus, the rectangular form of the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2 is shown in the option third, option third is correct.

Learn more about the parametric function here:

brainly.com/question/10271163

#SPJ5

4x-6y=-24 2x-3y=-6 graphed

Answers

Answer:

Step-by-step explanation:

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