y=x-4 and y=4x+2 graph solution of the systems

Answers

Answer 1

Answer:

(-2,-6)

Step-by-step explanation:

we can solve this system of equations with the substitution method because y is already by itself.

since they are both equal to y, we can set both equations equal to each other.

4x+2=x-4

subtract 2 from both sides

4x=x-6

subtract x from both sides

3x=-6

divide both sides by 3

x = -2

now that we know x, we can plug this value into one of the original equations and solve for y.

y=-2-4

y=-6

so on a graph, these two equations will intersect at the point (-2,-6)


Related Questions


Xavier buys 4 snacks and 2 cans of
soda. Each snack costs $1.25, and each
can of soda costs S dollars. Xavier's
total for the snacks and soda was $8.
How much did each can of soda cost

Answers

Total cost is the sum of all expenses incurred to produce a particular type of product. The answer is $1.50.

What is the definition of total cost?

Total cost is the sum of all expenses incurred to produce a specific kind of output. Financial reporting, when overhead costs must be allocated to specific assets, is where the total cost approach is more useful from an accounting standpoint.

$8 was spent in total.

Xavier bought four $1.25 snacks.

4 x 1.25 = $5

The 2 cans cost $3 because 5 + 3 = 8, and we know how much the snacks cost ($5), making the total cost ($8).

Each can cost $1.50 because, if the price of the two cans was $3, we would have to divide it by two to get the price of the second can, which comes out to be $1.50. As a result, each can was $1.50.

Therefore, the answer is $1.50.

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simplify the expression 14+5(x+3) - 7x​

Answers

Answer:

- 2x +29

Step-by-step explanation:

Open up the parenthesis, then simplify

14 + 5x + 15 - 7x

5x - 7x + 14 + 15

-2x + 29

[tex]14+5(x+3) - 7x[/tex]

Distribute:

[tex]14+(5)(x)+(5)(3)-7x[/tex]

[tex]14+5x+15-7x[/tex]

Combine Like Terms:

[tex](5x-7x)+(14+15)[/tex]

[tex]\fbox{-2x + 29}[/tex]

Ms.Metz had her students estimate the length and width of a math book. Dana's estimate was 40cm by 20cm. The book measured 24cm by 16cm. How far off was her estimate?

Answers

Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.

What is percent error?

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Percent Error Formula

The formula for percent error is:

PE = (|Estimated value-Actual value|/ Actual value) × 100

Given,

Actual length of the book = 24 cm

Actual width of the book = 16 cm

Dana's estimated length of the book = 40 cm

Dana's estimated width of the book = 20 cm

Error in measurement of length of the book =

(Measured Length - Actual Length/Actual length) × 100

= (40 - 24/24) ×100 = 66.67%

Error in measurement of width of the book =

(Measured width - Actual width/Actual width) × 100

= (20 - 16 / 16) × 100 = 25%

Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.

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Please help
Which poly nominal has the zeros 1,-2i and 3

Answers

The  polynomial has the zeros 1,-2i and 3 is =  x³ - 5x² + 11x -15.

What does a polynomial in mathematics mean?

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).

How can you recognize a polynomial?

A polynomial function is a function that only uses non-negative numeric powers or only positive integer exponents of something like a variable in an equation, such as the quadratic equation, cubic equation, etc. As an illustration, the polynomial 2x+5 has an exponent of 1.

According to the given information:

given zeros are 1-2i and 3 .

The polynomial function  p(x) is

[x - (1+2i)] × [x - (1 - 2i)] × (x - 3)

[(x - 1) - 2i] × [(x - 1) + 2i] × (x - 3)

[(x - 1)² - (2i)² × (x - 3)]

∴ (x² - 2x + 1 + 4)(x - 3)

∴  (x² - 2x + 5)(x - 3)

The  polynomial has the zeros 1,-2i and 3 is =  x³ - 5x² + 11x -15.

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Melinda, Zachary, and heather went to the mall to shop for school supplies

Answers

Heather spend $33.1 on school supplies.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Melinda, Zachary, and heather went to the mall to shop for school supplies

Melinda spent $14.25 on her supplies.

Melinda=$14.25

Zachary spent $2.30 more than Melinda spent

Zachary=$14.25+$2.3

=$16.55

Heather spent 2 times as much money as Zachary spent

Heather=2×$16.55

=$33.1

Hence, Heather spend $33.1 on school supplies.

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Solve for 0. Round to the nearest tenth of a degree. Sin 0=0.85

Answers

The value of the angle theta is 58 degrees

How to determine the value of the angle theta

From the question, we have the following parameters that can be used in our computation:

Sin 0=0.85

Express the angle in the equation properly

So, we have the following representation

sin(Ф) = 0.85

Take the arc sin of both sides of the equation

So, we have the following representation

sin⁻¹(sin(Ф)) = sin⁻¹(0.85)

Evaluate the arc sin of one side of the equation

So, we have the following representation

Ф = sin⁻¹(0.85)

Evaluate the arc sin of the other side of the equation

So, we have the following representation

Ф = 58.2116693829

Approximate the equation

Ф = 58 degrees

Hence, the solution is 58 degrees

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Help me I do t know how to do this

Answers

Answer

1. Three graphs were created and the solution is identified on the graphs.

Solutions are
System A is upper right (1, 2)
System B is lower left ( 5, -6)
System C is lower right ( 1/2, 3)

2. Find the sum or difference. When you solve this way, you want either the x or the y values to cancel out so you can solve for one variable.


System A is already set up this way. See how the 4x and -4x cancel out?

4x + 3y = 10
-4x +5y = 6
__________
8y = 16
Divide both sides by 8 to solve
8/8 y = 16/8
y = 2

Sub y = 2 into either equation to solve x

4x + 3y = 10
4x + (3)(2) = 10
4x + 6 = 10
Subtract 6 from both sides to isolate variable
4x + 6 -6 = 10 - 6
Simplify
4x = 4
Divide both sides by 4 to solve
4/4 x = 4/4
x = 1
Solution pair is (1, 2)

System B has the y values ready to cancel out

2x + y = 4
x - y = 11
__________
3x .= 15
Divide both sides by 3 to solve for x
3/3 x = 15/3
x = 5

Sub x = 5 into either equation to solve for y

5 - y = 11
Subtract 5 from both sides
5-5 -y = 11 - 5
-y = 6
y = -6

Solution pair is ( 5, -6 )

System C - we need to multiply the second equation by -1 to create the cancel of x

8x + 11y = 37

8x + y = 7
-1. -1. -1
___________
-8x -y = -7

Now we can cancel the x’s and solve

8x + 11y = 37
-8x -y = -7
___________
10y = 30
Divide both sides by 10
10/10 y = 30/10
Simplify
y = 3

Now sub y = 3 into either equation to solve x

8x + (11)(3)= 37
8x + 33 = 37
Subtract 33 from both sides
8x + 33 - 33 = 37 - 33
8x = 4
Divide both sides by 8 to solve for x

8/8 x = 4/8
x = 4/8
Simplify
x = 1/2

Solution pair is ( 1/2, 3)

3. The graphs show the x horizontal line and y vertical line from the coordinate solution intersect with the lines of the two equations.

This was a lot of work. I hope it made sense.

Which graph represents a function?

Answers

Answer:

The fourth graph since it passes the vertical line test.

Each input has one output.

Hope this helps :)

Yesss the fourth graph is the correncg answer yess your welcome I think that’s the correct answer

a simple l cell organism divides in to 3 identical cells every 20 minutes, how many organisms will there be after 8 hours.​

Answers

Step-by-step explanation:

Let’s see … one division every 20 minutes? That would be like <grinding noise> three binary doublings per hour, right? Now for the tough part … three doublings per hour, for eight straight hours? <more grinding noises> … Is that even mathematically possible? After much thinking, I decide that the total number of binary doublings has to be in the neighborhood of no less than eight times three!

Would you believe that 224=16777216 ? While mathematically true, it is not the answer to the posted question… Since we started at 0 minutes, there are only 23 buddings inside eight hours … so the answer has to be 223=8388608 , right?

Wrong again, this time forgetting all about the newlybud bacteria generations, that all go on budding side by side of their ancestors …

Now that you’ve caught on to the basic idea, I leave it to you to figure out the real answer! Keep in mind that after 20 minutes, you have two budding bacteria to reckon with, for 440 minutes … after 40 minutes another two (for 420 minutes), and so on, down the line.

Hint: the answer still is not 16777216 …

Answer:

after 1 division,there is 3 cell

after 2 divisions,there is 9 cell.

after 3 divisions,there is 27 cell

The above data takes the form of Geometric sequence.

3,9,27......,last term

here,Common ratio(r)=9/3=27/9=3

and,first term(a)=3

Let, n be the no.of divisions.

then, n=8 hrs/20 min=480 min/20min=24

Now,from the G.S,

last term=ar^n-1

=3×3^24-1

=9²³

Hence,9²³ organisms will there be after 8 hours

It can be written as 8.86293812×10²¹ as well

*Mark me brainliest

d= c/n solve for n, I've been trying to solve this by multiplying by n but i want to solve for n so that's wrong thank you guys :D

Answers

Answer:

You started correctly....

Step-by-step explanation:

d = c/n      Multiply both sides by 'n'

dn = c        now divide both sides of the equation by 'd'

n = c/d       Done.

Gemma has 3 rose bushes, each with the same number or roses. She picks 4 of the roses. There are 20 roses left on the rose bushes. How many roses were on each rose bush?

Answers

There were 8 roses on each bushes

How to calculate the number of roses on each bush?

Gemma has 3 rose bushes

Each bush has the same number of roses

She picks 4 of the roses

After picking the roses, there are 20 left in the bushes

Therefore the number of rose on each bush can be calculated as follows

20 + 4

= 24

24/3

= 8

Hence there are 8 roses in each bush

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Multiply: (–4 + i)(2 – 3i)
a. –5 – 10i


b. –8 + 11i


c. –5 + 14i


d. –11 + 14i

Answers

The result of the product of the given complex numbers as required to be determined is; Choice C; -5 + 14i.

What is the product of the given complex numbers?

It follows from the task content that the result of the product of the given complex numbers is to be determined.

On this note, since the required product to be evaluated is; (–4 + i) (2 – 3i).

We can therefore multiply as follows;

-8 + 12i + 2i - 3i².

However, it is noteworthy to know that; i² = -1.

Hence, we have that;

-8 + 14i + 3

= -5 + 14i

On this note, it follows that the result of the product of complex numbers as required is; -5 + 14i.

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Bob's Gift Shop sold 550 cards for Mother's Day. One salesman, Anand, sold 4% of the cards sold for Mother's Day. How many cards did Anand sell?

Answers

22 cards were sold by the Anand.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Bob's Gift Shop sold 550 cards for Mother's Day.

One salesman, Anand, sold 4% of the cards sold for Mother's Day.

We need to find the number of cards sold by Anand

Convert 4% to decimal by dividing 4 by 100

4/100=0.04

Now multiply 0.04 with 550

0.04×550

22

Hence, 22 cards were sold by the Anand.

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please help me this would make my day ^^

Ray YW bisects ∠XYZ such that m∠XYW = (3x−7)° and m∠WYZ=(2x+1)°.
Find the value of x.

Answers

3x-7=2x+1
-2x -2x
x-7=1
+7 +7
x=8

Find the total surface area of the net below

Answers

Therefore ,answering the offered question, we can state that the figure's surface area is SA = 2(9 11+11 9+11 * 11), which equals SA = 638 in2.

What precisely is surface area?

Surface area is a measure of how much space an object's surface takes up overall. The total area of a three-dimensional shape's surroundings is its surface area. Surface area refers to the total surface area of a three-dimensional shape. You may compute the contact area of a cube with six square faces by adding together their individual areas. Alternatively, you can use the following formula to name the box's dimensions: Surfaces (SA) = 21 h + 2 lw + 2 hw. A tri shape's surface area is calculated as the total amount of space it occupies.

Here,

Front = rear = 11*11

top = bottom = 9*11

sides = 11*9;

SA= 2(911+119+1111)

SA=2(9999 +121)

SA = 2(319) (319)

SA = 638 in²

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Could you please help me

Answers

$10.70 for unit a and $9.30 for unit b

1. Explain how place-value blocks can
help you with division.

Answers

Using place value along with division facts in a division equation, helps in dividing larger numbers easily. Place value counters and tape diagrams are often used to represent division using place value.

What is division?

With the arithmetic operation of division, we can divide a collection of items into equal pieces. Typically, it is represented by the symbol "÷".

The bigger amount that is divided into equal halves is called the dividend.

The number of groups that divide the payout is known as the divisor. Following division, the result is the quotient.

The value of a digit in a number is determined by its place in the number, or place value.

Divide larger numbers simply by applying place value and division facts in a division equation. Place value division is frequently shown using tape diagrams and place value counters.

Example - 4 ÷ 2 = 2

In the first equation, the digits are 4 and 2. We can write it as 4 ones ÷ 2 ones = 2 ones (using the division fact).

Example - 40 ÷ 20 = 2

For the second equation, the digits are the same, but a zero has been added after 4, and the quotient thus has one zero at the end. So, we can write it as 4 tens ÷ 2 ones = 2 tens (using place value and the division fact).

Example - 400 ÷ 200 = 2

Similarly, for the third division equation, the same digits are present, but the number of zeros has increased. We are dividing 4 hundreds ÷ 2 ones = 2 hundreds (using place value and the division fact).

Therefore, place value blocks help in division for making it simpler.

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Identify two angles that are marked congruent to each other on the diagram
below. (Diagram is not to scale.)

Answers

Answers:  

TSO for the first boxQRP for the second box

Explanation:

The angles TSO and QRP are marked with the same double angle arc markers. This signifies they are congruent or the same measure. For example, they both could be 30 degrees each.

The naming "angle TSO" is the same as saying "angle OST". The order of the letters does not matter as long as point S is in the middle. Similarly, saying "angle QRP" is the same as "angle PRQ".

Rahul and his children went into a restaurant that sells hamburgers for $8 each and tacos for $4 each. Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Rahul and his children went into a restaurant that sells hamburgers for $8 each and

tacos for $4 each.

Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether.

Let  x represents the number of hamburgers purchased and y represents the number of tacos purchased,

x+y≥11...(1)

8x+4y=80..(2)

8(11-y)+4y=80

88-8y+4y=80

88-4y=80

8=4y

y≥2

Hence, x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

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Jose has a points card for a movie theater.
• He receives 50 rewards points just for signing up.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 85 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits
Jose can make to earn his first free movie ticket.

Answers

Answer:

x ≥ 10

Step-by-step explanation:

Total Points = 50 + 3.5x
Total Points ≥ 85
50 + 3.5x ≥ 85
3.5x ≥ 35

then divide both sides by 3.5

x ≥ 10

Which integer in the set has the greatest value (4, -4, -3, 3)?
A. 4
B. 3
C. -3
D. -4

Answers

Answer:

A. 4

Step-by-step explanation:

4 is a positive number which is larger to 3 and bigger than negative numbers.

Answer:

Step-by-step explanation:

i\        

i  \

i   \

i    /

i  /

A tank is 80c ,nu 60cm by 75cm, find the volume of water that will fill up

Answers

A tank that is 80 cm tall and has a base that is 60 cm by 75 cm.

To find the volume of the tank, you can use the formula for the volume of a rectangular prism, which is:

Volume = length * width * height

Using the dimensions given, we can plug them into the formula as follows:

Volume = 60 cm * 75 cm * 80 cm = 4,500 cm^3

This means that the tank has a volume of 4,500 cubic centimeters, and it would take 4,500 cubic centimeters of water to fill it up

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Answer:

Step-by-step explanation:

To find the volume of water that will fill up a tank that is 80 cm tall, 60 cm wide, and 75 cm deep, you can use the formula for the volume of a rectangular prism. The formula for the volume of a rectangular prism is length x width x height, so in this case, the formula would be:

60 cm x 75 cm x 80 cm = 36,000 cm^3

So the volume of water that will fill up the tank is 36,000 cubic centimeters.

Alternatively this also can be written as 806075 cubic cms

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Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?

Answers

The resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

What are vectors?

A vector is an object that has both a magnitude and a direction.

Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.

For the subtraction of vectors, we can write its magnitude as -

|r - s| = √(r² + s² - 2rscos{15})

Therefore, the resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

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Which equation represents a linear function that has a slope of 4/5 and a y-intercept of -6?
○ y=-6x+4/5
O y=4/5x-6
O y=4/5x+6
Oy=6x+ 4/5

Answers

Answer: y= -6x+4/5

Step-by-step explanation: We will compare these equations with standard form y=mx+c where m is the slope of the line and c is the y-intercept.

for line y= -6x+4/5

on comparing with y= mx+c

we have m= -6 and c= 4/5.

So, the first option is correct.

A grocer wishes to make 50 kilos of tea by mixing two grades of tea worth rs.16 and rs.18 per kilo respectively .if he wishes to sell the mixed tea at rs.16.80 per kilo ,how many kilos of each grade of tea should he mix?

Answers

Answer:

11.1 and 38.9

Step-by-step explanation:

16x + 18 (1-x) = 16.89

2x = 1.11

x = 0.222

0.222 x 50 = 11.1

50-11.1 = 38.9

Rewrite in simplest terms: 9(-6p-4)+3(3p-5)9(−6p−4)+3(3p−5)

Answers

The expression in the simplest form is -90p - 102

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

We are given an expression as 9(-6p-4)+3(3p-5) + 9(−6p−4)+3(3p−5)

Then Rewrite in simplest terms:

9(-6p-4)+3(3p-5) + 9(−6p−4)+3(3p−5)

2 [ 9(-6p-4)+3(3p-5) ]

Solve the like terms;

2 [-54p - 36 + 9p - 15]

2 [-54p + 9p - 15 -  36]

2 x ( -45p - 51)

-90p - 102

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how do you get 3/8 from 13/8

Answers

You can get 3/8 from 13/8 by subtraction. The solution is 10 / 8

How to get 3/8 from 13/8

In order to get 3/8 from 13/8 we would have to carry out a subtraction of fractions.

That is we would have: 13/8 - 3/8

take the lcm of the denominator

[tex]\frac{13 - 3}{8}[/tex]

= 10 / 8

Hence when we take 3 / 8 from 13 / 8, the solution that we would have would be from subtraction. This is 10 / 8

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Huilan is 7 years older than Thomas. The sum of their ages is 79. What is Thomas’s age?

Answers

Answer:

To solve this problem, we can set up the following equation:

Huilan's age + Thomas's age = 79

Let H be Huilan's age and T be Thomas's age. We can then rewrite the equation as:

H + T = 79

We are told that Huilan is 7 years older than Thomas, so we can write the following equation:

H = T + 7

Substituting the second equation into the first equation, we get:

(T + 7) + T = 79

Combining like terms, we get:

2T + 7 = 79

Subtracting 7 from both sides, we get:

2T = 72

Dividing both sides by 2, we get:

T = 36

Therefore, Thomas's age is 36 years.

Step-by-step explanation:

Answer:

let Thomas age be a

there fore, hullans age is a+7

(a+7)+a=79

2a=79-7

2a=72

a=36

Determine the amount of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15years.

Answers

The amount (present value) of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15 years is $80,000.

What is the price of a bond?

The price of a bond is its present value.

The present value can be determined as the discounted cash inflows.

In this situation, we can determine the present value of the bond using an online finance calculator as follows:

N (# of periods) = 30 (15 years x 2)

I/Y (Interest per year) = 3%

PMT (Periodic Payment) = $1,200

FV (Future Value) = $80,000

Results:

Present Value (PV) = $80,000.00

Sum of all periodic payments = $36,000.00

Total Interest = $36,000.00

Thus, the amount of the bond is $80,000.

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could u please help me

Answers

Answer:

there is not enough info but i think it would be (5,11)

Step-by-step explanation:

divide

Answer:

[tex]y=\dfrac{11}{4}x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

Choose two (x, y) points from the given table:

Let (x₁, y₁) = (4, 11)Let (x₂, y₂) = (8, 22)

Substitute them into the slope formula:

[tex]\implies \dfrac{22-11}{8-4}=\dfrac{11}{4}[/tex]

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

Substitute point (4, 11) and the found slope into the point-slope formula and rearrange to slope-intercept form:

[tex]\implies y-11=\dfrac{11}{4}(x-4)[/tex]

[tex]\implies y-11=\dfrac{11}{4}x-11[/tex]

[tex]\implies y=\dfrac{11}{4}x[/tex]

Other Questions
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