how to find intersection from -8x+3y=11 and y=3x+4

Answers

Answer 1

Answer:

(-1,1)

Step-by-step explanation:

To find where both lines intersect, solve for x and y with substitution.

Equation 1.

-8x+3y=11

Equation 2.

y=3x+4

Substitute y from equation 2 into equation 1.

-8x+3(3x+4)=11

-8x+9x+12=11

x=-1

Now plug x into the second equation to solve for y.

y=3(-1)+4

y=-3+4

y=1

Both lines intersect at (-1,1)

Answer 2

Answer:

  (-1, 1)

Step-by-step explanation:

It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.

The lines intersect at (-1, 1).

__

You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...

  -8x +3(3x +4) = 11

  x +12 = 11 . . . . simplify

  x = -1 . . . . . . . subtract 12

Substituting back into the second equation, we find y to be ...

  y = 3(-1) +4 = 1

The lines intersect at (x, y) = (-1, 1).

_____

Additional comment

The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.

Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.

How To Find Intersection From -8x+3y=11 And Y=3x+4

Related Questions

if your brother has saved $60 to spend on basketball cards

Answers

Answer:

Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!

Please find the area...

Answers

( 356 x 280 ) - ( 103 x 60 )
99 680 - 6180 = 93500
answer = 93500

100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What is the total selling price for all of the boxes of chocolate?

Answers

Answer:

$140

Step-by-step explanation:

Total Amount of chocolate = 100 Pounds

Amount of chocolate in one box = 1 1/4 Pounds =  5/4 Pounds

Number of boxes = 100/(5/4) = 80 boxes

Cost of one box = $1.75

Total selling price = 80×1.75 = 140

The total selling price for all the boxes of chocolate is $140

Answer: $140

Step-by-step explanation:

Convert

1 1/4 --> 1.25

Solve

100/1.25= 80

80*1.75= $140

Which is greater 25% of 16 or 20% of 25

Answers

Answer:

20% of 25 is greater

Step-by-step explanation:

25% of 16 = 4

20% of 25 = 5

Answer:

20% of 25

Step-by-step explanation:

To find 25% of 16, we have to consider how much 25% is out of 100%

25/100 can be simplified to 1/4

So 1/4 of 16 (or 16/4) = 4

To find 20% of 25, we have to consider how much 20% is out of 100%

20/100 can be simplified to 1/5

So 1/5 of 25 (or 25/5) = 5

4 < 5

Therefore, 20% of 25 is greater than 25% of 16

PLEASE HELP !! Find the value of x in the triangle shown below. x=?

Answers

Answer:

x+44+29=180

x+73=180

x=180-73

x=107

Answer: x+44+29=180

x+73=180

x=180-73

x=107

Step-by-step explanation:

Which equation is NOT a linear? function

Answers

Answer:

A

Step-by-step explanation:

Because the x-intercept is zero and if you want to show it on a graph it is a quadratic function.

solve for x PLS HELP QUICK I HAVE A FINAL TMRW AND I REALLY NEED TO KNOW HOW TO DO IT

Answers

Answer:

x = -9/2

Step-by-step explanation:

64 = 2^6

if you have the same base, you can set the exponents equal and solve for x.

-2x-3 = 6

-2x = 9

x = -9/2

good luck on your final! you got this!

Step-by-step explanation:

[tex] {2}^{ - 2x - 3} = 64[/tex]

first, get 64 to a base of 2

[tex] {2}^{ - 2x - 3} = {2}^{6} [/tex]

now we can drop the bases

[tex] - 2x - 3 = 6[/tex]

And now we can solve it like any other equation

[tex] - 2x = 6 + 3[/tex]

[tex] - 2x = 9[/tex]

[tex]x = - \frac{9}{2} [/tex]

Solving Linear Equations with the Distributive Property
BRAINLIEST IF RIGHT!

Answers

Answer:

c = $5.50

Step-by-step explanation:

Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:

c = cost of one cheeseburger

s = cost of one soda

Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.

5s + 5c = 33.75

We are given the price of soda, however, so we can insert that number into the equation for s.

5(1.25) + 5c = 33.75

Then we can simplify and solve for c.

6.25 + 5c = 33.75

5c = 27.5

Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.

c = 5.50

So one cheeseburger costs $5.50.

Hope this helps.

1 point
15.) Vincent pays $202 in advance on his account at the health spa. Each
time he uses the spa, $6 is deducted from the account. Write an equation
that represents the value remaining in his account after x visits to the spa.
Find the value remaining in the account after 18 visits. *
O V = 6 - 202x; $94
O V = 6 - 202x; $1,216
O V = 202 - 6x; $94
O V = 202 - 6x; $1,230

Answers

Answer:

O V=202-6x; $94

Step-by-step explanation:

202 needs to be placed before the 6, eliminating options 1 and 2. It can't be option 4 because thats more than 202, leaving us with option 3. Check you answer by replacing x with 18. O V=202-6(18) ->O V=202-108 -> 202-108=$94.

The function f(x)is graphed on the coordinate plane.

What is f(−2)?



Enter your answer in the box.

f(−2) =

Answers

Answer:

f(-2) = -2

Step-by-step explanation:

f(-2)  means find the y value when x = -2

The y value when x = -2 is-2

f(-2) = -2

Rhian sat at a maths test and an English test
In the Maths test she scored 14 out of 17
In the English test she scored 31 out of 39
In which test did she do better

Answers

Answer: She did better in the Math test

Step-by-step explanation:

find the ratios of each by saying 14/17 = 0.82 then multiply by 100 to see it from 100 then you will get 82%

Now do the same thing for the other:

31/39 = 0.79 x 100 = 79%

In the end she got better in the math test!

Hope that helps :)

Find the value of x for the following triangle. Give your answer to a whole number. (No decimal)​

Answers

Answer:

12

Step-by-step explanation:

Which table represents a linear function?

Answers

Answer:

First Graph (1-5 2-10)

Step-by-step explanation:

10÷2=5

3÷15=5

4÷20=5

5÷25=5

Shira’s Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. How many shoes did the company sell in June? Analyze Emily’s calculations. What error did she make? StartFraction part Over whole EndFraction = StartFraction 70 times 8,750 Over 100 times 8,750 EndFraction = StartFraction 612,500 Over 875,000 EndFraction.

Answers

Answer:

1,250,000

Step-by-step explanation:

875,000 sandals account for 70% of the total pairs sold.

875,000/7 = 125,000

125,000 accounts for 10%.

125,000 * 10 = 1,250,000.

1,250,000 accounts for 100%.

The company sells pairs of shoes in June is 612,500

In Emily's calculation the error she makes in the second last steps she forgets to write the term 70.

Given that,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

We have to determine,

How many shoes did the company sell in June? Analyze Emily's calculations. What error did she make?

According to the question,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

Then,

The shoes did the company sell in June is,

[tex]= \dfrac{70} {100}\times 875,000\\\\=8750 \times 70 \\\\= 612,500[/tex]

Hence, The company's sells pair of shoes in June is 612,500.

For more details refer to the link given below.

https://brainly.com/question/9351049

Solve the system of equations
{y= 15x+9
{y= 1/2x–20

What is the solution to the system?

Answers

[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]

= 259.84 −168.789what is the answer

Answers

Answer:

91.051

Step-by-step explanation:

 259.840

- 168.789

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

 091.051

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

Can some one help? This is sooooooo hard

Answers

Answer:

median is a hight of a triangle

Will give brainliest

Answers

Slope equals rise over run

The distance of the points is 4 units down and 2 units right

-4/2 = -2

Slope = -2

A curve is represented by x = 3sec θ, y = 3tan θ where 0 < θ < /2.
Which of the following is the y intercept of the tangent to the curve at (2√3, √3)?

Answers

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

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

In which:

There is a point [tex](x_1, y_1)[/tex].The slope is [tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}[/tex]

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

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

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

[tex]y = \sqrt{3}[/tex]

A similar problem is given at https://brainly.com/question/22426360

help me pls first person to answer CORRECTLY will get brainliest

Answers

the number of games that you buy

Choose the linear equations.

Answers

Answer:

y = [tex]\frac{3}{3}[/tex]x - 5

y = 2x + 5

Step-by-step explanation:

In linear equations, both variables x and y must have the exponent of 1 (i.e. they cannot have a small number at the top-right). And they cannot be in the exponents (i.e. cannot be the small number at the top-right).

can someone help me do this​

Answers

Answer:

  a) S gets tends to infinity

  b) S tends to zero

Step-by-step explanation:

As you know, dividing by larger numbers makes a quotient smaller. The converse is also true: dividing by smaller numbers makes the quotient larger.

__

a) The area of the label will get larger as r gets closer to zero. It will tend toward infinity.

__

b) The area of the label will get smaller as r gets larger. It will tend toward zero.

the picture i need help with this answer. the problem is in the picture

Answers

Answer:

Step-by-step explanation:

Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?

Answers

Answer:

18 Tala

Step-by-step explanation:

6/2= 3

3*6= 18

18 Tala

al dividir A entre 23 se obtuvo 247 de cociente y el residuo fue el maximo. hallar A a)5242 b)5436 c)5703 d)5332 solo esas 4 alternativas tienen que salirte y respondan con resolucion plss

Answers

Aplicando la división, hay que el valor de A es dado por:

c) 5703

Una división es representada por:

[tex]\frac{a}{b} = c + \frac{r}{b}[/tex]

En que:

c es el cociente.r es el residuo.

En este problema, [tex]b = 23[/tex], y también:

Cociente de 247, o sea, [tex]c = 247[/tex].Residuo maximo, que es 22, o sea, [tex]r = 22[/tex].

[tex]\frac{a}{b} = c + \frac{r}{b}[/tex]

[tex]\frac{A}{23} = 247 + \frac{22}{23}[/tex]

[tex]A = 23(247) + 22 = 5703[/tex]

El valor de A es dado por:

c) 5703

Un problema similar, que tambíen envuelve división, es dado en https://brainly.com/question/14270856

solve using substitution
x-10y=10
x= -10

Answers

-10 -10y = 10
+10 +10

-10y = 20

20/-10 = -2

Y = -2

Answer:

y = -2

Step-by-step explanation:

x - 10y = 10=> -10 - 10y = 10=> -10y = 10 + 10=> -10y = 20=> y = -2

Conclusion:

Therefore, y = -2.

Hoped this helped.

[tex]GeniusUser[/tex]

how many would juile see?

Answers

Answer:

12

Step-by-step explanation:

4*4*__=48

16*__=48

48/16=3

3*4=12

Answer:

12 boxes on the right side

Step-by-step explanation:

4 going across and 3 rows so 12 boxes

48 divided by 3 is 16 but divided by 4 is 12

since there are 16 boxes at the top its a good inference that there's

only 3 flat rows meaning per every flat there would be 4 boxes and 3 rows

there would be 12 boxes on the right side.

Hugo is mixing blue paint with red paint to create purple paint.
The ratio of blue to red is 3 to 2.

How many pints of blue paint will he use to create 40 pints of purple paint?

Answers

Answer:

24 pints of blue paint. I don't know of this is a solid way to get the answer, but I added 3+2=5. then 40/5=8. Then multiplied 8*3=24 and 2*8=16

Step-by-step explanation:

Find the slope of the graphed line.

ASAP​

Answers

y = mx+b

y = 1/3x+4

Sincerely,

William

Learn with an example
or
Watch a tutorial
Find the slope of the line that passes through (9,5) and (4,1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit

Answers

Answer:

-8

Step-by-step explanation:

In order to find the answer to this question you need to use the slope formula, substitute, subtract, and simplify if needed.

[tex](9,5),(4,1) = (x^1,y^1), (x^2,y^2)[/tex]

[tex]m = \frac{y^2-y^1}{x^2-x^1} = \frac{9-1}{4-5}[/tex]

[tex]9-1=8[/tex]

[tex]4-5=-1[/tex]

[tex]= -8[/tex]

Hope this helps.

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