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nexus9112 [7]
3 years ago
9

The equation of a line is X+3Y=14 what is the y-intercept of the line?

Mathematics
2 answers:
kompoz [17]3 years ago
6 0

Answer:  The required y-intercept of the given line is \dfrac{14}{3}.  

Step-by-step explanation:  We are given to find the y-intercept of the following equation of a line :

x+3y=14~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

The <em>slope-intercept form</em> of the equation of a line is given by

y=mx+c, where m is the slope and c is the y-intercept of the line.

From equation (i), we have

x+3y=14\\\\\Rightarrow 3y=-x+14\\\\\Rightarrow y=-\dfrac{1}{3}x+\dfrac{14}{3}.

Comparing the above equation with the slope-intercept form, we get

\textup{y-intercept, c}=\dfrac{14}{3}.

Thus, the required y-intercept of the given line is \dfrac{14}{3}.  

vodka [1.7K]3 years ago
4 0
X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3
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Calcula el RIQ de las temperaturas en las Ciudades de Kansas, Misouri las temperaturas: 23,25,28,28,32,33,35 y en Paradise, Mich
sasho [114]

Respuesta:

Kansas, Misuri = 8

Paradise, Michigan = 3

Explicación paso a paso:

El rango intercuartílico (IQR) = Q3 - Q1

Q3 = 3/4 (n + 1) th término

n = número de muestras

Q1 = 1/4 (n + 1) th término

Kansas Misuri:

23,25,28,28,32,33,35

Datos pedidos: 23, 25, 28, 28, 32, 33, 35

n = 7

Q1 = 1/4 * 8 = 2do trimestre = 25

Q3 = 3/4 * 8 = 6. ° tem = 33

Q1 = 33 - 25 = 8

Paradise, Michigan:

16,24,26,26,26,27,28

Datos pedidos: 16,24,26,26,26,27,28

Q1 = 1/4 * 8 = 2do = 24

Q3 =. 3/4 * 8 = 6to = 27

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8 0
3 years ago
I NEED PART B AND C DONE I DID PART A, PLEASE HELP AND TELL ME WHAT PART YOU ARE SOLVING ALSO LOTS OF POINTS!!!
RideAnS [48]

Answer:

(8,10) is not a solution

Step-by-step explanation:

Cuz it’s not on both inequality shaded part but just one of them and also when we substitute one is true and the other one is false

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2(8) + 10 _< 8

18 + 10 _< 8

28 _< 8 false

X + y _> 4

8 + 10 -> 4

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7 0
3 years ago
Read 2 more answers
Jillian ran 40 miles in one week. Her friend Lacey ran 5/8 the distance that Jillian ran.
marishachu [46]
40 / 8 =5.               5 * % =         **25 Miles**
8 0
3 years ago
the length of a rectangle is 5 less than twice the width.if the perimeter of the rectangle is 146,find the area of the rectangle
raketka [301]

Answer:

The area of the rectangle is 1222 units²

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width

The formula of the area of a rectangle is A = L × W

∵ The length of a rectangle is 5 less than twice the width

- Assume that the width of the rectangle is x units and multiply

   x by 2 and subtract 5 from the product to find its length

∴ W = x

∴ L = 2x - 5

- Use the formula of the perimeter above to find its perimeter

∵ P = 2(2x - 5 + x)

∴ P = 2(3x - 5)

- Multiply the bracket by 2

∴ P = 6x - 10

∵ The perimeter of the rectangle is 146 units

∴ P = 146

- Equate the two expression of P

∴ 6x - 10 = 146

- Add 10 to both sides

∴ 6x = 156

- Divide both sides by 6

∴ x = 26

Substitute the value of x in W and L expressions

∴ W = 26 units

∴ L = 2(26) - 5 = 52 - 5

∴ L = 47 units

Now use the formula of the area to find the area of the rectangle

∵ A = 47 × 26

∴ A = 1222 units²

∴ The area of the rectangle is 1222 units²

7 0
3 years ago
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givi [52]

Answer:

m = (ps - b - uxs/t) / ux/t - p

Step-by-step explanation:

ux/t +b/m+s =p

multiplying throughout by (m+s) we get:

ux/t(m+s) + b = p(m+s)

open the brackets:

uxm/t + uxs/t + b = pm + ps

bring on one side of the equal sign all terms containg m, to make it the subject:

m(ux/t - p) = ps - b - uxs/t

m= (ps - b - uxs/t) / ux/t - p

3 0
3 years ago
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