I have a system of equations I don’t remember how to do :|

I forgot how to solve this, and I forgot how to find the slope…

I Have A System Of Equations I Dont Remember How To Do :|I Forgot How To Solve This, And I Forgot How

Answers

Answer 1

Answer:

  x + y = 3 (infinite solutions)

Step-by-step explanation:

You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."

That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.

_____

Additional comments

There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.

We can solve the first equation for y by subtracting x from both sides:

  x +y -x = 3 -x

  y = -x +3 . . . . . . simplify

In this form, the slope is the coefficient of x. Here, it is -1.

This expression for y can be substituted into the other equation:

  3x +3(-x +3) = 9

  3x -3x +9 = 9 . . . . . eliminate parentheses

  9 = 9 . . . . . . . . . . . simplify

This is true for all values of x or y. There are an infinite number of solutions.

Answer 2

Answer:

There are infinite numbers of solution.

Step-by-step explanation:

Question :

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]

Solution :

Solving the question and finding the final answer.

Here,

x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━

Now, from equation (i),

[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]

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

━━━━━━━━━

Now, putting the value of x in equation (ii)

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]

This statement is true for all values of x and y.

So, there are infinite numbers of solution.

[tex]\underline{\rule{220pt}{3pt}}[/tex]


Related Questions

The angle measures of an isosceles triangle are shown. Find the value of w.

Answers

Answer:

w= 7

Step-by-step explanation:

8w + 9w - 1 + 62 = 180

17w + 61 = 180

17w = 119

w = 7

Solve please in need of help

Answers

Answer:

not clear and I don't know the answer

A line has a slope of 0 and passes through the point (10, 2). What is its equation in slope intercept form?

Answers

Answer:

y = 10

Step-by-step explanation:

y = m x + C, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.

The equation of line that passes through the point P ( 10 , 2 ) and has a slope of 0 is y = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the point be represented as P ( 10 , 2 )

And ,let the slope of the line be m = 0

Slope m = 0

Now , the equation of line is given by the formula y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 2 = 0 ( x - 10 )

On simplifying the equation , we get

y - 2 = 0

Adding 2 on both sides of the equation , we get

y = 2

Therefore , the value of A is y = 2

Hence , the equation of line is y = 2

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If y varies directly as x, find y:
{(8, -12). (20, y)}

Answers

[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]

[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]

[tex]\\ \sf\longmapsto 8y=-240[/tex]

[tex]\\ \sf\longmapsto y=-240/8[/tex]

[tex]\\ \sf\longmapsto y=-60[/tex]

Write the equation from the line whose slope and the point through which it passes are given. Express the equation in point-slope form. (8,-1) and slope m=-3

Answers

Answer:

y + 1 = 3(x - 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b ) = (8, - 1 ) , then

y - (- 1) = 3(x - 8) , that is

y + 1 = 3(x - 8)

Pls help me 15 points total

Answers

It’s 738 text me if you need anything else

Point R has coordinates of (5.-6). What the coordinates of R' after being reflected across the y-axis?

Answers

Answer:

R' (- 5, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (5, - 6 ) → R' (- 5, - 6 )

Answer:

-5, -6

Explanation:

5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).

Hope this helped :)

evaluate the expression for the given value of x.
0.8x+5.4 for x= -3​

Answers

Answer:

3.0

Step-by-step explanation:

0.8 times -3 = -2.4

5.4-2.4=3.0

So the answer is 3.0

Which statement is necessarily true if is an altitude to the hypotenuse of right ?

Answers

Step-by-step explanation:

it's b

i relly don't know cause theres no image

HELP ME ON MY GEOMETRY PLEASEEEEE

Answers

Answer:

A

Step-by-step explanation:

15a. Cindy can make $100 in four days babysitting. At that rate, how many day will it take
her to make $425.

Answers

Answer:

4.2

Step-by-step explanation:

What is an equation of the line that passes through the points (2, -1) and (3,-4)

Answers

Answer:

Step-by-step explanation:

Given:

x1 = 2

x2 = 3

y1 = -1

y2 = -4

Solution:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( -4 - -1 ) / ( 3 - 2 )

m = -3 / 1

m = -3

Then,

y - y1 = m ( x - x1 )

y - (-1) = -3 ( x - 2 )

y + 1 = -3x + 6

y = -3x + 6 - 1

y = -3x + 5

Which of the following is NOT a type of fat?



Saturated


Unsaturated


Trans-Fats


Fiber

Answers

Answer:

Fiber

Step-by-step explanation:

Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.

Answer:

fiber is not a type of fat

The width of the rectangle is 50% of its length. What is the area of the rectangle?

Answers

Answer:

area = length x half of length

Step-by-step explanation:

whatever the length of the rectangle is, replace it with 'length'

for example if the length was 6cm, it would be:

length x half of length = area

6cm x (6/2) = area

6cm x 3cm = area

18cm² = area

please help I’ll give 60 points

Answers

1/4 = 3/12

5/12 = 5/12

1/4 + 5/12 = 8/12 = 2/3

Answer:

See image

Step-by-step explanation:

You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image

Help pretty please it’s 4:30 rn and I’m trying to get this done

Answers

Answer:

8b is 1.5*10^4=1.5*10000=15000

9. is 100*1.1=110meters to 100 yards

Hope This Helps!!!

Answer:

91

Step-by-step explanation:

Find the complex zeros of the following polynomial function.
f(x)=
[tex] {x}^{3} - 1[/tex]
Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.

The complex zeros of f are:

Answers

Answer:

[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=x^3-1[/tex]

[tex]0=x^3-1[/tex]

[tex]0=(x^2+2x+1)(x-1)[/tex]

[tex]x-1=0[/tex]

[tex]x=1[/tex] <-- Real Solution

[tex]x^2+x+1=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]

[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]

[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions

if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22

Answers

Answer:

C

Step-by-step explanation:

Divide the price by the weight 10 / 4.5 = $2.22 per pound

Can someone help me?

Answers

Answer:

d

Step-by-step explanation:

the perimeter of a rectangular field is is 84m.If the width of the rectangle is 6m less than the length,then find the dimensions?please friends help!!!!!!!!​

Answers

Answer:

24

**Solving Steps**

2 x (2 x X - 6) = 84

4x-12=84

84+12=96

96/4 = 24

Hope it helps.

a2+b2=
What is the answer ​

Answers

Answer:

(a+b)² - 2ab

Step-by-step explanation:

it is a formula :)

question 19 of the attachment below

Answers

Answer:

The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done

Step-by-step explanation:

Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle

Area of regular hexagon ABCDEF with side [tex]x[/tex]

[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]

Area of regular hexagon FGHIJK with side [tex]px[/tex]

[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]

Area of shaded region

[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]

Find the surface area of the cuboid.

Answers

Answer:

62 cm²

Step-by-step explanation:

The surface area (SA) is the sum of the areas of the 6 faces.

The opposite faces are congruent, then

SA = area of front/ back + area of top/ bottom + area of 2 sides

     = 2(5 × 3) + 2(5 × 2) + 2(3 × 2)

     = 2(15) + 2(10) + 2(6)

     = 30 + 20 + 12

     = 62 cm²

6. Multiply: i) 3x (5x+8y)
ii) 4x (3x2 + 5x-7)
iii) (3x+4y) (2x-7y)
iv) (2-3a) (2a2-3a+7)​

Answers

Answer:

Step-by-step explanation:

3x(5x+8y)=15x^2+24xy

4x(3x^2+5x-7)=12x^3+20x^2-28x

(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2

(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14

Alicia is a nurse.

In 2016, she earned a monthly salary of £1750

In 2017, she was awarded a 2% pay increase on her monthly salary.

Given that in 2017 Alicia worked 45 hours per week for 48 weeks,

work out her average pay per hour for the year.







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Thanks

Answers

Answer:

See below

Step-by-step explanation:

2% increase on 1750=

1750 * 1.02 = 1785

1785 per month gives 1785 * 12 = 21420 per year.

Divide 21420 by 48 weeks = 446.25 per week

Divide 446.25 by 45 hours = 9.92 per hour

Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,

(100%+2%) of £1750

= 1.02 × £1750

= £1785 per month

Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,

Total Earning = 12 × £1785 = £21,420

As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be

Number of hours = 45 hours × 48 weeks = 2,160 hours

Now, the earnings per hour can be written as,

Earning per hours = £21,420/2,160 hours = £9.92/ hour

Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.

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Divya glued a ribbon around a clipboard. The clipboard is 9 inches wide and 11 inches tall. What is the length of ribbon used and the area of the clipboard?

Answers

Based on the dimensions of the clipboard, the length of the ribbon is 40 inches and the area of the clipboard is 99 inches ².

The ribbon goes around the clipboard which means that its length is the clipboard's perimeter which is calculated as:

= 2 x length + 2 x Width

= 2 x 9 + 2 x 11

= 18 + 22

= 40 inches

The area of the clipboard will be:

= Length x Width

= 9 x 11

= 99 inches ²

In conclusion, the length is 40 inches and the area is 99 inches²

Find out more about area at https://brainly.com/question/16997207.

Sally can paint a room in 7 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?

Answers

Answer:

2 hours

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Let x represent the time it takes together. Per hour the Equalizer

1/3hr + 1/8hr = 1/x  Multiplying each term by 24x so as all denominators = 1

8x + 3x = 24

11x = 24

x = 2.18 hrs, the time it takes them together

can someone help me figure this out

Answers

Answer:

b ≥ 8

Step-by-step explanation:

b + 4 + 2(-2b + 4) ≤ -12

b + 4 - 4b + 8 ≤ -12

-3b + 12 ≤ -12

-3b ≤ -24

b ≥ 8

7) There are 5 white balls, 8 red balls, 7 yellow balls and 4 green
balls in a container. A ball is chosen at random.
What is the probability of choosing red?

8)What is the probability of choosing green?

9) What is the probability of choosing either red or white?

10) What is the probability of choosing neither white nor green?

11) What is the probability of choosing other than yellow?

12) What is the probability of choosing black?

Answers

Answer:

7. 1/3

8. 1/6

9. 13/24

10. 5/8

11. 17/24

12. 0

Step-by-step explanation:

First find the total number balls by summing the indiviudal number of balls:

Total = 5 + 8  + 7  + 4 = 24

Then, the find any probability divide the number of ways your selected situation can happen from the total:

[tex]probability = \frac{number.of.possible.ways}{total.number.of.ways}[/tex]

A final step if you want is to reduce the fraction to its simplest value. For example,

[tex]\frac{2}{4} =\frac{1}{2}[/tex]

7) 8/24 = 1/3

8) 4/24 = 1/6

9) (8+5)/24 = 13/24

10) (24 - 5 -4)/24 = 15/24 = 5/8

11) (24 - 7)/24 = 17/24

12) (0)/24 = 0

---

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In IJK, i = 40 inches, j = 80 inches and ZK=92°. Find ZJ, to the nearest degree.

Answers

Answer:

61.9

Step-by-step explanation:

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Answer:

  62°

Step-by-step explanation:

The law of cosines is used to find the length of side k:

  k² = i² +j² -2i·j·cos(K)

  k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568

  k ≈ 90.6827 . . . . . . . take the square root

Then the law of sines is used to find angle J.

  sin(J)/j = sin(K)/k

  J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°

  J ≈ 62°

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