The graphs of the equations 4x - y = 6 and x + y = 4 intersect at
the point whose coordinates are

Answers

Answer 1

Answer:

The graphs of the equations 4x - y = 6 and x + y = 4 intersect at  the point whose coordinates are (2,2)

Step-by-step explanation:

The graphs of the equations 4x - y = 6 and x + y = 4 intersect at  the point whose coordinates are?

We need to find the values of x and y by solving the system of equations.

The values of x and y are the point of intersection of those lines.

We have:

[tex]4x - y = 6--eq(1) \\x + y = 4--eq(2)[/tex]

Adding both equations and finding value of x

[tex]4x - y = 6\\ x + y = 4\\-----\\5x+0y=10\\5x=10\\x=\frac{10}{5}\\x=2[/tex]

We get, the value of x: x=2

Now, putting value of x in equation 2 to find value of y:

[tex]x+y=4\\Put\:x=2\\2+y=4\\y=4-2\\y=2[/tex]

So, we get y=2

Therefore we get x=2 and y=2

The solution set is: (2,2)

So, The graphs of the equations 4x - y = 6 and x + y = 4 intersect at  the point whose coordinates are (2,2)

The Graphs Of The Equations 4x - Y = 6 And X + Y = 4 Intersect Atthe Point Whose Coordinates Are

Related Questions

I neeeeeedddddd helppppp

Answers

Answer:

yes

Step-by-step explanation:

They both have a 25 degree angle, and the second one is just the first one but put on the page at a different angle

someone help me with my math homework?

Answers

Answer:

c

Step-by-step explanation:

Lydia found an apartment that she wants to rent. The rent is $715 per month and there is a security deposit of $355. To move in, Latisha must have first month's rent, last month's rent and the security deposit. How much does Lydia need to move in?

Answers

Answer:

$1785

Step-by-step explanation:

you have to multiply the monthly rent by 2 since she has to pay the first and last months rent and then add the $355 security deposit

Answer:

$1985

Step-by-step explanation:

715 x 2 = 1430

1430 +355 = $1985

i really need help please someone

Answers

Step-by-step explanation:

your welcome

....................

The product of 3.4×10 to the -14th power and 1.8×10 to the 28th power

Answers

Answer:

6.12x10¹⁴

Step-by-step explanation:

...........................

Answer:

A

Step-by-step explanation:

3.4x10^-14 x 1.8x10^28

3.4x1.8 x 10^-14+28

6.12 x 10^14

PLEASE HELP!!! PLEASE DONT ANSWER IF U DONT KNOW!

Answers

Answer:

x^2 - y^2) - (x^2 -3x +2)

Step-by-step explanation:

Answer:

-y to the second power + 3x-2

Step-by-step explanation:

Please mark brainlliest if you want.

What is 3+4

This is such a hard question Ik like

Answers

Answer: 3+4 =7 this is the right answer :)

Step-by-step explanation:

Answer:

this was so difficult but the answer is 7

The unit rate for 115 miles in 2 hours is ___ miles per hour. (Put your answer as a decimal)

Answers

Answer:

57.5 MPH

Step-by-step explanation:

You have to divide to find unit rate.

You will get 57.5 once you divide.

Help me with this pls

Answers

Answer:

x=65

Step-by-step explanation:

90 degree angle

90-25= 65

Required Answer:-

It is a straight line with angle measures of 90°, x° and 25° opposite to the angle marked 180°.

Hence, their sum is 180°.

➛[tex]90 \degree + x + 25 \degree = 180 \degree[/tex]

➛[tex]115 \degree + x = 180 \degree[/tex]

Then,

➛[tex] x = 180 \degree - 115 \degree[/tex]

➛[tex]x = 65 \degree[/tex]

Hence:-

The measure of the angle will be 65° (Ans)

~[tex] \large{ \blue{ \sf{FadedElla}}}[/tex]

1 one gets it right will get crown plz hurry!!!!!!!!!!!!!!!!
Thirty pounds of grass seed will cover One-third of an acre. Which unit rate describes this situation? 10 pounds per acre 40 pounds per acre 90 pounds per acre 120 pounds per acre

Answers

Step-by-step explanation:

As always, the "unit rate" can be written two ways. You have not specified which one you want.

.. (30 lb)/(1/3 ac) = 90 lb/ac

.. (1/3 ac)/(30 lb) = (1/90) ac/lb

Answer:

90 pounds per arce

Step-by-step explanation: cause he said

Find X- and y- intercepts of the graph of each equation.

Answers

1.) x-intercept = 12
y-intercept = -4

2.) x-intercept = -11
y-intercept = 11

Answer:

1.) -4 and 12

y-intercept: -4

x-intercept: 12

2.) -11 and 11

y-intercept: -11

x-intercept: 11

Step-by-step explanation:

x - 3y = 12

0 - 3y = 12

-3y/-3 = 12/-3

y = -4 (y-intercept)

x - 3y = 12

x -3(0) = 12

x = 12 (x-intercept)

2x - 2y = 22

2(0) - 2y = 22

-2y = 22

-2y/-2 = 22/-2

y = -11 (y-intercept)

2x - 2y = 22

2x - 2(0) = 22

2x = 22

2x/2 = 22/2

x = 11 (x-intercept)

The band at charles high school had a concert for charity. They raised $15,000. Adult tickets were $5 each and student tickets were $3 each. The members of the band sold a total of 4,000 tickets. How many student tickets did they sell

Answers

Answer:

Adults =1500 and student= 2500

Step-by-step explanation:

Step one:

GIven data

let Adults be x and student be y in numbers

so

5x+3y=15000------------1

x+y=4000---------------------2

from 1

x=4000-y, put this in 2, we have

5(4000-y)+3y=15000

20000-5y+3y=15000

-2y=15000-20000

-2y= -5000

2y=5000

divide both sides by 2

y= 2500

put y= 2500 in 2

x+2500= 4000

x= 4000-2500

x=1500

Select the function that's represented in the graph.

options:

A)

ƒ(x) = (x + 3)2 – 5

B)

ƒ(x) = 3(x + 3)2 – 5

C)

ƒ(x) = (x – 3)2 – 5

D)

ƒ(x) = 3(x – 3)2 – 5

Answers

Answer:

the answer is c

Step-by-step explanation:

because it mets up

an alloy is made by mixing metals A and B in the ratio 3:5
metal a costs £42 per kg
metal b costs £20 per kg

how much would it cost to make 400g of the alloy?

Answers

Answer:

11.3

Step-by-step explanation:

First solve how many grams of each mineral you need.

To do this use this equation

[tex]\frac{3}{5} =\frac{x}{y} ; x+y=400[/tex]

Solve the system of equations to get

x=150, y=250

Since there are 1000 grams in 1 kg then the amount of kg of each material you need will be

[tex]x=\frac{150}{1000}; y=\frac{250}{1000}[/tex]

So you need to 0.15 of a kg of mineral a and 0.25 kg of mineral b.

Multiply 0.15 by 42 to get the amount of money needed to buy mineral a.

0.15*42=6.3

Multiply 0.25 by 20 get the amount of money needed to buy mineral b.

0.25*20= 5

Add them to get the final amount

6.3+5=11.3

Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y=−13x+4.

Answers

Answer:

An equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

[tex]y=\frac{1}{13}x+\frac{35}{13}[/tex]

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the line

y = -13x+4

comparing with the slope-intercept form of the line equation

The slope of the line = m = -13

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -13

Thus, the slope of the the new perpendicular line = – 1/m = -1/-13 = 1/13

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

substituting the values of the slope m = 1/13 and the point (4, 3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3=\frac{1}{13}\left(x-4\right)[/tex]

Add 3 to both sides

[tex]y-3+3=\frac{1}{13}\left(x-4\right)+3[/tex]

[tex]y=\frac{1}{13}x-\frac{4}{13}+3[/tex]

[tex]y=\frac{1}{13}x+\frac{35}{13}[/tex]

Therefore, an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

[tex]y=\frac{1}{13}x+\frac{35}{13}[/tex]

what is yhe rotational symmetry of a regular pentagon base pyramid?​

Answers

Answer:

C5, [5]+, (55)

i think this is it but i might be wrong

Step-by-step explanation:

a number increased by eighteen​

Answers

Answer:

can you explain a little bit more

Step-by-step explanation:

A bacteria sample can be modeled by the function f(x) - 350(1.20) which gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values in this function? 11) A) The initial number of bacteria is 350. B) The number of bacteria at the end of one day is 350. 9 The initial number of bacteria decreases at a rate of 20% D) The number of bacteria increases at a rate of 120% each day.

Answers

Answer: A) The initial number of bacteria is 350.

Step-by-step explanation:

Exponential growth equation: [tex]f(x)=A(1+r)^x[/tex] , where A=Initial value, r= growth rate.          (i)

Given: A bacteria sample can be modeled by the function [tex]f(x) = 350(1.20)[/tex]which gives the number of bacteria in the sample at the end of x days.

Here, [tex]f(x)=350(1+0.20)[/tex]

Compare this equation to  (i) , we get A = 350 and r= 0.20 = 20% (growth rate)

So, the  best interpretation of one of the values in this function are:

A) The initial number of bacteria is 350.

Answer:

A

Step-by-step explanation:

I did the prep

WILL mark brainliest

Answers

Answer:

do u have to find the pattern?

Step-by-step explanation:

I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST

Answers

Answer:

His test IS a solution.

Step-by-step explanation:

Both LHS and RHS are equal so it is a solution.

I think that (His test point is a solution) is the answer

Let n be the number of couples dancing in a competition. If there are 5 organizers, which expression represents the total number of people involved in the competition?

Answers

2n+5...a couple is two people so you need to multiply the number of couples, n, by 2 to get the total number of dancers. Then add the total number of organizers.

The expression representing the total number of people involved in the competition is 2n + 5.

What are Algebraic Expressions?

Algebraic expressions are defined as the statements in mathematics which consist of constants, coefficients of the variables and variables connecting with basic operations like addition, multiplication, subtraction, etc.

Algebraic equations are something with an algebraic expression equal to something. But in algebraic expressions, there will be no equal to sign.

There are basically three classes of algebraic expressions, namely, monomial, binomial and polynomial expressions.

Number of couple dancing in a competition = n

Number of people involving in a couple dance is 2.

Total number of people dancing as couple = 2n

Number of organizers in the competition = 5

Total number of people involved = 2n + 5

Hence 2n + 5 number of people are involved in the competition program.

To learn more about Algebraic Expressions, click on the link given below :

https://brainly.com/question/953809

#SPJ5

Find the slope:
(3,-5) and (-7,-6)

Answers

the slope is 0.1 or one tenth as a fraction.

slope equation:

change in Y divided by change in X

**underlined numbers are x values and bold numbers are y values**

(3,-5) and (-7, -6)

our two Y values looking at the coordinates are -5 and -6, since coordinates are (x,y)

our two X values are 3 and -7

now plug these into the equation:

-5 - (-6)

------------

3 - (-7)

**PAY ATTENTION TO THE SIGNS**

now the numerator is -5+6 which is 1

and the denominator is 3+7 which is 10

that makes 1/10 as a fraction -your slope

simplify it and you have:

slope = 0.1 or 1/10

i hope this helps!!

y is inversely proportional to the square of x.
y = 8 when x = 3.5
8
Find the negative value of x when y= 8/9

Answers

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3.5, y = 8.

=> (3.5)²(8) = k, k = 98.

When y = 8/9,

we have x²(8/9) = (98).

=> x² = 110.25

=> x = 10.5 or x = -10.5.

Since we want the negative value,

the answer is x = -10.5.

The required negative value of variable x when y = 8/9 is -10.5. To understand the calculations, check below.

Proportion:

Important information:

y is inversely proportional to the square of x.y=8 when x=3.5.

Using the given inverse proportional statement, we get

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{k}{x^2}[/tex]     ...(i)

Substitute [tex]x=3.5,y=8[/tex].

[tex]8=\dfrac{k}{3.5^2}[/tex]

[tex]8=\dfrac{k}{12.25}[/tex]

[tex]8\times 12.25=k[/tex]

[tex]98=k[/tex]

Substitute [tex]k=98[/tex] in (i).

[tex]y=\dfrac{98}{x^2}[/tex]

Substitute [tex]y=\dfrac{8}{9}[/tex].

[tex]\dfrac{8}{9}=\dfrac{98}{x^2}[/tex]

[tex]x^2=98\times \dfrac{9}{8}[/tex]

[tex]x^2=110.25[/tex]

[tex]x=\pm \sqrt{110.25}[/tex]

[tex]x=\pm 10.5[/tex]

We need only negative value.

[tex]x=-10.5[/tex]

Therefore, the required value of variable x is -10.5.

Find out more about 'Proportion' here:

https://brainly.com/question/15179946

The average cost per month of a 2-bedroom apartment in Grayson was $625 last year. This year, the average cost is $650. What is the percent increase from last year to this year? *

4%
25%
14%
3.8%

Answers

Answer:

4%

Step-by-step explanation:

4% percent of 625 is 25 and the price used to 635 and now  its 650 which means there was a $25 increase which means 4% is correct

BRAINLIEST PLZ!!!

Which system of linear equations has the ordered pair (15, – 25) as its solution?
x - 2y = 35 and 2x + y = 55
x-2y = -35 and 2x - y = 55
2x+y=5 and 2x + y = 55
2x+y=5 and 2x – y=55

Answers

Answer:

The solution to the system of equations be:

(x, y) = (15, -25)

Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.

Step-by-step explanation:

Let us solve and check the 4th system of equations

2x+y=5

2x – y=55

solving the system of equations

[tex]\begin{bmatrix}2x+y=5\\ 2x-y=55\end{bmatrix}[/tex]

subtracting

[tex]2x-y=55[/tex]

[tex]-[/tex]

[tex]\underline{2x+y=5}[/tex]

[tex]-2y=50[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2x+y=5\\ -2y=50\end{bmatrix}[/tex]

solve -2y = 50

[tex]-2y=50[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{50}{-2}[/tex]

[tex]y=-25[/tex]

[tex]\mathrm{For\:}2x+y=5\mathrm{\:plug\:in\:}y=-25[/tex]

[tex]2x-25=5[/tex]

Add 25 to both sides

[tex]2x-25+25=5+25[/tex]

Simplify

[tex]2x=30[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{30}{2}[/tex]

simplify

[tex]x=15[/tex]

Thus, the solution to the system of equations be:

(x, y) = (15, -25)

Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.

Find an equation for the line below. Thanks !

Answers

Answer:

[tex]\huge\boxed{y=\frac{1}{4}x + \frac{13}{4}}[/tex]

Step-by-step explanation:

In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.

We know that the slope of a line is defined by [tex]\frac{\Delta y}{\Delta x}[/tex] (change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.

The change in y is [tex]4 - 2 = 2[/tex], and the change in x is [tex]3 - (-5) = 3+5= 8[/tex]. Therefore, our slope is [tex]\frac{2}{8} = \frac{1}{4}[/tex].

Now that we know our slope, our equation in slope-intercept form looks something like this.

[tex]y = \frac{1}{4}x + b[/tex]

However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.

[tex]4 = \frac{1}{4} \cdot 3+b[/tex] [tex]4 = \frac{3}{4} + b[/tex] [tex]b = \frac{16}{4}- \frac{3}{4}[/tex] [tex]b = \frac{13}{4}[/tex]

So now we know that the y-intercept is [tex]\frac{13}{4}[/tex]. Plugging that into our equation finishes it off, leaving our final equation to be [tex]y = \frac{1}{4}x + \frac{13}{4}[/tex].

Hope this helped!

Answer:

y= 1/4 + 13/4

Step-by-step explanation:

mark brainless please..

;-;

(did this question before)

lol

Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The rest of the stickers have pictures of people. How many stickers have pictures of people?
Responses

A. 24 stickers

B. 12 stickers
C. 30 stickers

D. 18 stickers

Answers

Answer:

A

Step-by-step explanation:

What’s the value of x in this equation???? Thank u!

Answers

Answer:

x = 9

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

50° is an exterior angle of the triangle, thus

38 + 4x - 24 = 50 , that is

14 + 4x = 50 ( subtract 14 from both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Answer:

[tex]\huge\boxed{\sf x = 9}[/tex]

Step-by-step explanation:

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

50 = 38 + 4x - 24

50 = 4x + 14

Subtract 14 to both sides

50 - 14 = 4x

36 = 4x

Divide 4 to both sides

36 / 4 = x

x = 9

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

The line has been partitioned into three angles. Is there a triangle with these three angle measures?​

Answers

Yes...? I think so. I might not be right

A taxi service charges a base fee of $5.00 for each fare. In addition, the service charges a $1.75 per minute fee. Which equation relates the total cost of a fare, , to the length of the ride, in minutes, ?

Answers

Answer:

Equation is = 5+1.75m

Step-by-step explanation:

Given that,

A taxi service charge is $5.00 for each fare.

In addition, the service charges a $1.75 per minute fee.

It means, for every minute, $1.75 increases with time and $5.00 is fixed.

ATQ,

Total cost = 5+1.75m

Where m is time in minutes

Hence, the required equation is "5+1.75m".

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