What is the solution of the system of equations?
y= 3x – 1-4x + 2y = 2

Answers

Answer 1

Answer:

X=2, y=5

Step-by-step explanation:

Y=3x-1 equation 1

-4x+2y=2 equation 2

-4x +2(3x-1)=2 substitute value of y (3x-1) in equation 1 into y value of equ e

-4x+6x-2=2 distributative property

2x=4 solve above equation

x=2

solve for y:

y=3x-1

y=3(2)-1

y=6-1

y=5


Related Questions

What is the graph of the function f(x) = the quantity of negative x squared minus 2 x minus 2, all over x minus 2 ? (6 points)

Answers

Answer:

Please check my interpretation of your written equation.

Step-by-step explanation:

f(x) = (-x^2 - 2x - 2)/(x-2)

Wild.  See attached graph.

Ay help me and when I finish I am giving free point
but help me with this

Answers

Answer:

The correct answer is [tex]\frac{2}{16}[/tex].

Step-by-step explanation:

Since there are 8 cards and two sides to the coin, that means there will be a total of 16 different outcomes. Out of the 16 possible outcomes, 2 of them meet the requirement of picking a vowel card and landing on heads, so the fraction to represent the situation would be [tex]\frac{2}{16}[/tex].

Answer:

2/16

Step-by-step explanation:

Are these two lines parallel?
y = 3x – 2
X 0 1 2 3
y3 6 9 12
Yes
No .

Answers

Answer:

Yes

Step-by-step explanation:

Not why does it have to have the numbers in different positions ?

Which situations can be modeled by a linear function?

Answers

Answer:

A, C, E

Step-by-step explanation:

F(x) =
X+1 if x 1
-x+1 if 1 X-1 if x>3
Please help

Answers

Answer:

f ' [x] = 0

Step-by-step explanation:

Which characteristic does the graph display? A) Odd function
B) even function
C) neither even nor odd

Answers

Answer:

B is correct option

Step-by-step explanation:

The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. It is possible that the use of these two words originated with the observation that the graph of a polynomial function in which all variables are to an even power is symmetric about the y -axis.

hi! please help i’ll give brainliest

Answers

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

Answer: Mechanical weathering

Step-by-step explanation:

Multiples of 6 and 14

Answers

Answer:

Step-by-step explanation:

6: 6, 12, 18, 24, 30, 36, 42, 48, 54

14: 14, 28, 42, 56

the LCM (least common multiple) is 42.

What is the cosine ratio of ∠Z?

Answers

Answer:

10 / 26

Step-by-step explanation:

cos <Z = adjacent / hypotenuse

= YZ / XZ

= 10 / 26

Answer:

Cos of an angle by definition of its ratio is side adjacent/hypotenuse.  The side adjacent to angle Z cannot be the hypotenuse, so it has to be 10. he hypotenuse is 26.  Therefore, cosZ= 10/26 = 5/13

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZz

polynomial test
solve or simplify
-7x(11x+12)
i need help on these

Answers

Answer:

-77x^2 -84x

Step-by-step explanation:

[tex] - {77x}^{2} - 84x[/tex]

just multiply -7 by each number within the parentheses.

You pick a card at random. Without putting the first card back, you pick a second card at
random.
3 4 5 6
What is the probability of picking a 5 and then picking a 3?
Write your answer as a fraction or whole number.

Answers

Answer:

4

Step-by-step explanation:

The ratio of the number of Mary's necklaces to the number of Helen's necklaces is 25:9.Mary's has 100 necklaces. How many necklaces does Helen's have.

Answers

Answer: 36

Step-by-step explanation:

Given

The ratio of Mary's to Helen's necklaces is 25:9

Mary has 100 necklaces

Suppose Helen has x necklaces

Therefore the ratio can be written like

[tex]\Rightarrow \dfrac{25}{9}=\dfrac{100}{x}\\\\\Rightarrow x=\dfrac{100}{25}\times 9\\\\\Rightarrow x=4\times 9\\\Rightarrow x=36[/tex]

So, Helen has 36 necklaces

Rachel had 36 quarters. If it costs 4 quarters for each coke from a coke machine, how many could she buy?

Answers

Answer:
9 Cans of coke.
Explanation:
36 divided by 4 = 9.

-2 1/3 - (-5)=___

3 1/3

3 2/3

-7 1/3

2 2/3

Answers

Answer:

10/3 or 3 1/3

Step-by-step explanation:

-2 1/3=-5/3

-5/3-(-5)

-5/3+5

-5/3+15/3

10/3

answer : -2 1/3 - (-5) = [tex]2\frac{2}{3}[/tex]

explanation : we need to convert the mixed numbers to improper fractions, then find the LCD and combine.

step 1 : convert the mixed number to an improper fraction

ex: [tex]-\frac{7}{3}-(-5)[/tex]

step 2 : when there is a - in front of an expression in parentheses, change the sign of each term in the expression

ex : [tex]-\frac{7}{3}+5[/tex]

step 3 : calculate the sum

ex : [tex]\frac{8}{3}[/tex]

solution : [tex]\frac{8}{3}[/tex]

simplify: [tex]2\frac{2}{3}[/tex]

exact form : [tex]\frac{8}{3}[/tex]

decimal form : 2.66666666 (repeating)

mixed number form : [tex]2\frac{2}{3}[/tex]

hope this helps !

- audrey ♡

hey! i’ll give brainliest pls help.

Answers

Answer:

Hi! I'll just help qwq

The first option should be the correct answer!

Step-by-step explanation:

The sun is in the center, and all other planet orbits/goes around the sun.

The second option is a theory of which old people believed. Now we know for sure that the sun is in the center, and we orbit around it.

the first one should be correct!

Which statement is true?
A) function is a relation where each output value is assigned to exactly one input value.
B) The domain of a function is the set of all output values, or y-values, for which the function is defined.
C)The range of a function is the set of all input values, or x-values, for which the function is defined.
D)To write the equation y = ax + b in function notation, substitute f(x) for y.

Answers

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

A function is a relation where each input value is assigned to only one output value.

The domain of a function is the set of all input values, or x-values, for which the function is defined.

The range of a function is the set of all output values, or y-values, for which the function is defined.

Which A, B, & C are wrong. So D, is the one that makes the most sense.

<3 pwease help will do anything lol <3
2. A 480 Ω resistor is connected in series to a 360 Ω resistor and a 120-V power supply.
a. Draw the circuit.



b. Calculate the equivalent resistance of the circuit.


c. Calculate the current through the battery.


d. How much current is passing through each resistor?


e. Calculate the voltage drop across each resistor.

f. How does the voltage drop across each resistor compare to the voltage of the battery

Answers

I just answered a so let's start with b :

______________________________

b. The equivalent resistance of series

resistances is equal to their sum

Thus :

equivalent resistance = 480 + 360

equivalent resistance = 840

_______________________________

c.

I = V ÷ R

I = 120 ÷ 840

I = 0.1428 A

_______________________________

d. 0.1428 A

_______________________________

e. 480 ===》 120 - ( 480 × 0.1428 ) =

120 - 68.544 =

51.456

360 ===》 120 - ( 360 × 0.1428 ) =

120 - 51.408 =

68.592

_______________________________

f. 480 ===》68.544 lower than battery

360 ===》 51.408 lower than battery

10ft/2in simplified so the units are the same

Answers

answer:

60 inches or 5 feet

step-by-step explanation:
10 ft can be turned into 120 in
120/2
60 inches or 5 feet
Wish I could help I suck at math

A survey asked first-year college students, "How many miles is this college from your permanent home?" Students had to choose from the following options: 5 miles or less, 6 to 10 miles, 11 to 50 miles, 51 to 100 miles, 101 to 500 miles, or over 500 miles. The bar chart below shows the percent of students at public and private 4-year colleges who chose each option.

Answers

Answer:

Students who attend a private college are more likely to travel a farther distance to attend college.

Step-by-step explanation:

a sleeve of golf balls is shown to the nearest inch what is the volume of the box that is not filled by the 3 balls

Answers

The volume would be 23

what is the value of y2 -x2 when y=6 and x=5​

Answers

2

(6)x2 =12
(5)x2 =10
12-10=2
It’s 2
Because at the end it’s 6x2-5x2= 12-10= 2

y/8 =5
Y=?
What does y =

Answers

Answer:

the answer is y=40

Step-by-step explanation:

y/8=5

y=8*5

y=40

Answer:

5

Step-by-step explanation:

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"        

I hope this helped!

Find the length of each arc. Round your answers to the nearest tenth.
A) 127.2 yd
C) 102.4 yd
B) 7.1 yd
D) 56.5 yd

Answers

Answer: 7.1 yd

Step-by-step explanation:

the formula for arc length is 2πr(x/360),  x being the central angle

input the values, so the equation would be 2π9(45/360), which equals 7.1

a store charges by the pound for candy. if it costs you 10$ for 4 pounds of candy, how much will it cost you for 15 pounds?

(help! i need the work too please ! :) )

Answers

4x10=40 16 with a remainder of 1

Answer: I think it is $37.50

Step-by-step explanation: You first have to divide 10 by 4 to know how much money it was for 1 pound and I got 2.5. Then I multiplied 2.5 by 15 to get 37.5 which is $37.50.

Escribir un 8% como un decimal

Answers

Answer:

8% como un decimal es 0.08%

Espero que te ayude!

The area of a triangular sail is given by the expression 12bh, where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 12 inches and h = 7 inches?

Answers

Answer:

42 square inches

Step-by-step explanation:

Area of a triangle = (1/2)(base)(height)

A = 1/2(12)(7)

A = 1/2(84)

A = 42

Clinton has a bag of Skittles. Inside the bag are 6 red, 4 orange, 7 yellow, 3 purple and 4 green Skittles. What is the probability of drawing a green Skittle, replacing it, and then drawing another green Skittle

Answers

The probability of drawing a green Skittle, replacing it, and then drawing another green Skittle is 1/36

How to determine the probability?

The distribution of the Skittle is given as:

Red = 6

Orange = 4

Yellow = 7

Purple = 3

Green = 4

The total number of skittle is:

Total = 6 + 4 + 7 + 3 + 4

Evaluate

Total = 24

The probability of selecting a green skittle is:

P(Green) = 4/24

So, the probability of selecting 2 green skittles is:

P = 4/24 * 4/24

Evaluate

P = 1/36

Hence, the probability of drawing a green Skittle, replacing it, and then drawing another green Skittle is 1/36

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

Choose all the graphical displays that are best for showing numerical data.


box-and-whisker plot
bar graph
line graph
circle graph
stem-and-leaf plot
scatter plot
histogram

Answers

Answer:

box-and-whisker plot

line graph

stem-and-leaf plot

scatter plot

histogram

Step-by-step explanation:

Answer:

stem-and-leaf plot

Step-by-step explanation:

trust me this is the right one

PLEASE HELP! WILL MARK BRAINLIEST!


The path of a seat on a new Ferris wheel is modeled by x = –25sin(StartFraction pi Over 30 EndFraction t) and y = –25cos(StartFraction pi Over 30 EndFraction t) + 30, where distances are measured in feet. What is the maximum height a rider will experience?


50 feet

55 feet

60 feet

80 feet

Answers

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

[tex]X(t)=(x,y)[/tex]

In which [tex]X(t)[/tex] are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

[tex]''x''[/tex] and [tex]''y''[/tex] are functions that depend from the variable ''t''.

For this exercise :

[tex]X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30][/tex]

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function [tex]X(t)[/tex].

The function to study is [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]  ⇒

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex]

Now we equalize [tex]y'(t)[/tex] to 0 ⇒

[tex]y'(t)=0[/tex] ⇒ [tex]\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0[/tex]

In this case it is easier to look for the values of ''t'' that verify :

[tex]sin(\frac{\pi}{30}t)=0[/tex]

Now we need to find the values of ''t''. We know that :

[tex]sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0[/tex]

Therefore we can write the following equivalent equations :

[tex]\frac{\pi}{30}t=0[/tex] (I)

[tex]\frac{\pi}{30}t=\pi[/tex] (II)

[tex]\frac{\pi}{30}t=-\pi[/tex] (III)

From (I) we obtain [tex]t_{1}=0[/tex]

From (II) we obtain [tex]t_{2}=30[/tex]

And finally from (III) we obtain [tex]t_{3}=-30[/tex]

We found the three critical points of [tex]y(t)[/tex]. To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of [tex]y(t)[/tex] :

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex] ⇒

[tex]y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)[/tex]

Now given that we have an arbitrary critical point ''[tex]t_{n}[/tex]'' ⇒

If [tex]y''(t_{n})>0[/tex]  then we will have a minimun at [tex]t_{n}[/tex]

If [tex]y''(t_{n})<0[/tex] then we will have a maximum at [tex]t_{n}[/tex]

Using the second derivative test with [tex]t_{1},t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0[/tex] ⇒ We have a minimum for [tex]t_{1}=0[/tex]

[tex]y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{2}=30[/tex]

[tex]y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{3}=-30[/tex]

The last step for this exercise will be to find the values of the maximums.

We can do this by replacing in the equation of [tex]y(t)[/tex] the critical points [tex]t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y(t_{2})=y(30)=55[/tex]

[tex]y(t_{3})=y(-30)=55[/tex]

We found out that the maximum height a rider will experience is 55 feet.

Answer:

B

Step-by-step explanation:

Answer this if you know this

5+3-2√5±∞

Answers

Answer:

wt actual hell

Step-by-step explanation:

Answer:

answering because my account got banned

Step-by-step explanation:

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