What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (4, 1)?

Given:

The graph of cost of taxi with respect to number of miles.

To find:

The formula for C in terms of n.

Solution:

In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).

From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{6-3}{5-0}(x-0)[/tex]

[tex]y-3=\dfrac{3}{5}(x)[/tex]

Adding 3 on both sides, we get

[tex]y=\dfrac{3}{5}x+3[/tex]

Putting y=C and x=n, we get

[tex]C=\dfrac{3}{5}n+3[/tex]

Therefore, the required formula is [tex]C=\dfrac{3}{5}n+3[/tex].

Answer:

c=3/5n+3

Step-by-step explanation:

Answer:

Least common multiple (LCM) of 12 and 22 is 132

Step-by-step explanation:

Answer:

1) 4

2) 2

3) 5

4) 8

Step-by-step explanation:

All you have to do in this question is to substitute what they are telling you.

First blank:

They told us that m is 0 so if we plug that into the equation we can get s.

[tex]2m+4s=16\\2(0)+4s=16\\4s=16\\s=4[/tex]

In this one if m is 0, s will have to be 4.

Second blank:

They told us that s is 3 so if we plug in that into the equation we can get m.

[tex]2m+4s=16\\2m+4(3)=16\\2m+12=16\\2m=4\\m=2[/tex]

In this one if s is 3, m will have to be 2.

Third blank:

They told us that m is -2 so if we plug that into the equation we can get s.

[tex]2m+4s=16\\2(-2)+4s=16\\-4+4s=16\\4s=20\\s=5[/tex]

In this one if m is -2, s will be 5.

Fourth blank:

They told us that s is 0 so if we plug into the equation we can get m.

[tex]2m+4s=16\\2m+4(0)=16\\2m=16\\m=8[/tex]

In this one if s is 0, then m will be 8.

Answer:

0.05 x 0.04 = 0.002

Step-by-step explanation:

Given:

5 column (hundred grid) = 5/100 = 0.05

4 row (hundred grid) = 4/100 = 0.04

Find:

Area equation

Computation:

Area equation = 0.05 x 0.04

0.05 x 0.04 = 0.002

Answer: -1/3x - 6

Step-by-step explanation: perpendicular lines have opposite reciprocal slopes

original slope of 3 —-> -1/3

then our point is (0, -6) let’s plug that into y=-1/3x+b

-6 = -1/3(0)+b

b= -6

put it all together: y = -1/3x -6

Answer: 10% of 65.9

Step-by-step explanation:

Answer:

2x-2=-4

5/8x3/5= 15/40 then u simplify and get -4 3/8

Answer:

a

Step-by-step explanation:

Answer:

Non of the above

Step-by-step explanation:

[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]

Answer:

D. Prime

I just took the test

Step-by-step explanation:

Step-by-step explanation:

S=smaller number; L=larger number=3S

.

4S+5L=133

4S+5(3S)=133

4S+15S=133

19S=133

S=7 ANSWER 1: The smaller number is 7.

.

L=3S=3(7)=21 ANSWER 2: The larger number is 21.

.

CHECK:

4S+5L=133

4(7)+5(21)=133

28+105=133

133=133

Answer:

a + b

Step-by-step explanation:

ax + ay + bx + by

a(x +y) +b(x + y)

(a + b) ( x + y)

therefore (a + b) ( x + y) divide x+y

x + y is canceled out both in the denominator and numerator

= a+b

Answer:

a + b

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

6y + 30 = 54

subtract 30 from each side

6y = 24

divide each side by 6

y = 4

Answer:

y=4

Step-by-step explanation:

3(2y+10)=54

6y+30=54

-30       -30

6y=24

/6   /6

y=4

Answer:

its 9.2

Step-by-step explanation:

Well i counted 7 units (x-axis) and 6 units (y axis). 6 squared is 36 and 7 squared is 49. Add them together and get 85. Square root 85 and youll get 9.21954445729. Round it to the nearest tenths and get 9.2

Answer:

181.7m

Step-by-step explanation:

The set up is a right angled triangle with;

Height of the light house = 25m = opposite side

The distance of the boat from the base = 180m = Adjacent

The distance of the light beam from the house = Hypotenuse = x

Using pythagoras theorem;

x² = 25²+180²

x² = 625+32400

x² = 33025

x = √33,025

x = 181.7m

Hence distance of the light beam from the top of the lighthouse to the ground is 181.7m to the nearest tenth

Answer:

≥                                         closed dot

<                                           open dot

≤     less than or equal to   closed dot

There are the missing blanks

Answer:

B. 4/3

Step-by-step explanation:

[tex] \frac{ {4}^{ - 3} . {3}^{4} . {4}^{2} }{ {3}^{5} . {4}^{ - 2} } \\ \\ = \frac{ {4}^{ - 3} . {4}^{2 + 2} }{ {3}^{5 - 4}} \\ \\ = \frac{ {4}^{ - 3} . {4}^{4} }{ {3}^{1}} \\ \\ = \frac{ {4}^{4 - 3} }{ {3}^{1}} \\ \\ = \frac{ {4}^{1} }{ {3}^{1}} \\ \\ = \frac{4}{3} [/tex]

Answer:

B. 4/3

Step-by-step explanation:

(4^-3 . 3^4 . 4^2)/(3^5 . 4^-2)

4^-3 . 4^2/ 4^-2 . 3^4/ 3^5

4^(-3+2-(-2)) . 3^(4-5)

4^1 . 3^-1

4 . 1/3 = 4/3

Answer:

20x + 40

Step-by-step explanation:

5(4x + 8)

20x + 40

Happy Holidays! For Christmas, I got something... what was it again? Hmm I think it was a pair of earbuds :D

Well on Christmas I just made chocolates and ate them-

As for New Years, Happy New Year! :D

Answer: I got a kitty headphones, and this games board and also a letter of my name :)

Step-by-step explanation:

Answer:

Ordinary least squares

Step-by-step explanation:

The ordinary least squares means the estimations that done for parameters in a regression model by lowering the sum of the square residuals. It also predicted the coefficient of the regression equation that generate the actual and the expected values of the dependent variable is known as ordinary least squares

Therefore the above represent the answer

Answer:

(1, 3)

Step-by-step explanation:

If quadrilateral ABCD is reflected across the line y = x, then the x- and y-coordinates get reversed. Since the coordinates of point D are (3, 1), then the coordinates of point D' are (1, 3).

Answer:

its a its aaaa itsssssssssssssssssssssss aaaaaaaa sorry im just in a good mood

Step-by-step explanation:

Answer:

in my knowledge

option A...

Step-by-step explanation:

....

...

...

..

Answer:

B

Step-by-step explanation:

Answer:

3. the numbers between -5 and 5

Step-by-step explanation:

Let set A= [tex]\{x| x>-5\}[/tex] and set [tex]B=\{x | x<5\}[/tex].

The solution set of A and B is the solution set of A∩B

The solution set of A is all the real number x which is greater than -5.

The solution set of B is all the real number x which is less than 5.

Therefore, the solution set of A∩B is all the real numbers between -5 and 5.

Hence, option (3) is correct.

Answer:

14t + 5.1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Expression

5.1 + 8.8t - 2.2t + 7.4t

Step 2: Simplify

Answer:

21

Step-by-step explanation:

Sorry I had too

Answer:

19 - 2^(7/4)√3  or

13.174 to nearest thousandth.

Step-by-step explanation:

I am interpreting this as x^2 - 2√(2x) + 1

p(3√2) = (3√2)^2 - 2√(2*3√2) + 1

= 18 - 2√(6√2) + 1

= 19 - 2* √6 * 2^1/4

= 19 - 2*√2*√3*2^1/4

= 19 - 2^(7/4)√3.

=  13.174 to the nearest thousandth.

Answer:

I guess there are 6 small pieces but dont know how long they are sry

Answer:

12 small piece of ribbon, each 3/2 inches long

Step-by-step explanation:

one 18" long ribbon divided into 3 equal pieces will produce three 6 inch ribbons

three 6" ribbons, each one cut in half (or divided by 2), equals 12 pieces

each one  being 18/12 inches long; which reduces to 3/2

Answer:

Step-by-step explanation:

8.6f-7.2f+9.2-7.2=1.4f+2=2(0.7f+1)

Answer:

The fraction is 41/99.

Step-by-step explanation:

The steps are :

[tex]let \: x \: be \: fraction,[/tex]

[tex]x = 0.414141.....[/tex]

[tex]100x = 41.414141.....[/tex]

[tex]100x - x = 41.414141..... \: - \: 0.414141.....[/tex]

[tex]99x = 41[/tex]

[tex]x = \frac{41}{99} [/tex]