Which is an equation of the line that passes through (0, -3) and is perpendicular to the graph of the line y=2x-3?

Answer:

this system has no solutions

Hello!

[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]

-3(x - 14) + 9x = 6x + 42

Distribute the coefficient of the parenthesis:

-3(x) - 3(-14) + 9x = 6x + 42

-3x + 42 + 9x = 6x + 42

Combine like terms:

6x + 42 = 6x + 42

Both sides of the equation are the same, therefore:

There are infinitely many solutions.

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For solving such problems we need to recall equations .

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When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .

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➠ - 3 ( x - 14 ) + 9x = 6x + 42

➠ -3x + 42 + 9x = 6x + 42

Now, we will bring the variable on left hand side and constants on right hand side

➠ -3x + 9x - 6x = 42 - 42

➠ -9x + 9x = 42 - 42

➠ 0 = 42 - 42

➠ 0 = 0

As we can see the equation have end with a zero the equation have indefinitely many solutions

➠ Indefinity many solutions

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Answer:

He will earn $51 more

Step-by-step explanation:

Let us compare the amounts he will earn in both banks

Mathematically, simple interest is;

I = PRT/100

Where P represents principal, R represents rate and T represents time

For Citibank, we have

I = (500 * 4.75 * 12)/100 = $285

For National bank

I = (500 * 3.9 * 12)/100 = 234

The difference between the amount of money earned in both banks will be;

285-234 = 51

Answer:

If Dana planted 144 okra seeds, 84 of those seeds grew into plants.

Explanation:

Image below.

There are okra plants grown from 84 seeds, which is the correct answer would be option (B).

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Over the duration of the summer, 7 out of every 12 okra seeds Dana placed grew plants. He might grow 144 okra plants.

For every 12 okra seeds Dana planted, 7 grew into plants, so the ratio of seeds that grew into plants to seeds planted is 7/12.

Dana planted 144 okra seeds, so the number of seeds that grew into plants is 144 seeds × (7/12) = 84 seeds.

Therefore, 84 okra seeds grew into plants.

To learn more about the Ratio click here:

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Answer:

5.1y-3.3

Explination: none

Answer:

5.1y-3.3

Step-by-step explanation:

I am sorry if its wrong

Answer:

It’s B

Step-by-step explanation:

just answered question

Answer:

275

Step-by-step explanation:

1375-550/5-2

Answer:

275 per minute

Step-by-step explanation:

550/2=275

1375/5=275

2200/8=275

3025/11=275

therefore it is 275 ft. per minute

Answer:

Concept: Mathematical Analysis

9514 1404 393

Answer:

  b = 2

  c = 4

  e = 3

  g = 6

Step-by-step explanation:

b) The number remaining under the radical is what's left after the perfect squares 25 and x² are removed. That is b = 2.

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c) The number outside the radical is the root of the perfect square constant inside the radical: √16 = c = 4.

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e) As with c, √9 = e = 3.

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g) As with c, √36 = g = 6.

Answer:

k=9

HOPE THIS IS CORRECT!

Answer:

k =9

Step-by-step explanation:

I'm just built different

Answer:

y = [tex]\frac{1}{2}[/tex]x - 2

Step-by-step explanation:

y = mx + b (m is the slope and b is the y-intercept)

Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex]   Given points: (-6, -5) (-4, -4)

[tex]\frac{-5+4}{-6+4}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

y = [tex]\frac{1}{2}[/tex]x + b

The y-intercept is -2

y = [tex]\frac{1}{2}[/tex]x - 2

The graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function f and a function g(x) is:

[tex]\rm g(x) = (2)2^x[/tex]

If draw a graph of g(x) on the coordinate plane, it will be a exponential function.

For y intercept of g(x):

x = 0,

y = 2

But graph of a function f and graph of a function g(x) has same end behavior.

Thus, the graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.

Learn more about the function here:

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Answer:

3 2/3

Step-by-step explanation:

In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:

2 2/9 +1 4/9

3 6/9

simplify

3 2/3

Answer:

A) 6

Step-by-step explanation:

The angle 12x is the same angle as the one below 108 degrees. They are supplementary angles so they add up to 180 degrees. 180-108 = 72, 12x = 72 divide each side by 12, x = 6 :)

Answer:

i need more info

Step-by-step explanation:

Answer:195000

Step-by-step explanation: We add 4% to 187500 Since He gets 4% for his sales

Answer:

it is the third option

Step-by-step explanation:

you would subtract the 6.4 to the other side of the equation and then you would divide it by -1.1 and you would get 7

Answer:

5,10,15,20,25

Step-by-step explanation:

I believe this is correct because, If you find number 1 on the x axis and find 5 on the y axis, they meet up so therefore 1 shirt cost 5 dollars and so on.

Answer:

|| slope= 1/3

⊥ slope=-3

Step-by-step explanation:

The line is y=1/3x+5

Parallel slopes are the same (think about parallel lines and how they will never intersect- that means that slopes of those lines will never intersect so they have to be the same)

That means that the || slope will be 1/3.

Perpendicular slopes are negative and reciprocal (if you multiply them, they will equal -1)

Which means to solve for the slope perpendicular, use this equation

1/3m=-1

multiply by 3 on both sides

m=-3

So that means the ⊥ slope will be -3.

hope this helps!

Answer:

[tex]\frac{1}{3}[/tex] and - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Parallel lines have equal slopes, thus

[tex]m_{parallel}[/tex] = [tex]\frac{1}{3}[/tex]

Give a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3

Answer:

x ≤ 13

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

88%.

Step-by-step explanation:

To calculate percentage: (198 × 100) ÷ 225

This equals 19800 ÷ 225, which is 88%.

Answer:

88%

Step-by-step explanation:

198/225

=0•88

0•88×100

=88%

Answer:

the answer is d just took the test

Step-by-step explanation:

Answer:

i think its D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

there are 4 vertices in a square

Answer:

Step-by-step explanation:

Let x be the number of tiles to buy for same cost in both store.

18+0.69 · n = 1.29 · n,

1.29n -0.69n =18 or

0.6n =18

n =18/0.6=30

Therefore, 30 tiles need to buy for same cost in both store.[Ans]

Answer:

I think you need to cross multiply

Answer:

Distance around the stadium is 75.16 monger than the field

Step-by-step explanation:

From the graph attached,

Coordinates of A → (-10, 60)

Coordinates of B → (60, -10)

Coordinates of C → (10, -60)

Coordinates of D → (-60, 10)

Perimeter of field = AB + BC + CD + DA

Since field is in the shape of a rectangle,

AB = CD and BC = DA

Therefore, perimeter of the rectangle = 2(AB + BC)

Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                      = [tex]\sqrt{(60+10)^2+(-10-60)^2}[/tex]

                      = [tex]\sqrt{2(70)^{2} }[/tex]

                      = [tex]70\sqrt{2}[/tex] m

Length of BC = [tex]\sqrt{(60-10)^2+(-10+60)^2}[/tex]

                      = [tex]50\sqrt{2}[/tex] m

Perimeter of ABCD = 2(70√2 + 50√2)

                                = 240√2 m

                                = 339.41 m

Perimeter of stadium = 2πr      [Here, r = radius of the circle]

                                   = 2π(120)

                                   = 753.98 m

To run around the field twice, distance covered by the players = 2(339.41)

= 678.82 m

Difference in the distance covered to run around the stadium and the rectangular field = 753.98 - 678.82

                            = 75.16 m

Answer:

The distance around the stadium is longer than about 75

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs

Answer:

x = 8

Step-by-step explanation:

Let there are x friends.

The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.

Total cost = $83.30

We need to solve for x. The equation for the scenario is given by :

$2.50x + $4.85x + $24.50 = $83.30

Taking like terms together

$2.50x + $4.85x = $83.30-$24.50

7.35 x = 58.8

x = 8

So, there are 8 friends.