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kherson [118]
3 years ago
8

What is the equation of the line with a y-intercept of −10 and a slope of 3?

Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Answer:

y = 3x - 10

Step-by-step explanation:

It's not an option, but you already said in the instructions that the y-intercept is -10.

y = mx + b

M is the slope and b is the y-intercept.

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He spend on bus fares £7.50

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If a number n is a multiple of two,then n is even.​
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A drunkard executes a “random walk” in the following way: each minute he takes a step north or southm with probability 1/2 each,
valentina_108 [34]
Assume that a step to the north is in the positive direction and a step in the south is in the negative direction.

Then,

E(X_i)=50\left(\frac{1}{2}\right)-50\left(\frac{1}{2}\right)\\ \\=25-25=0

and

\sigma^2(X_i)=E(X_i^2)-E(X_i)^2 \\ \\ =50^2\left(\frac{1}{2}\right)+50^2\left(\frac{1}{2}\right)-0^2=2500\left(\frac{1}{2}\right)+2500\left(\frac{1}{2}\right)-0 \\ \\ =2500 \\ \\ \Rightarrow\sigma(X_i)=50

After 1 hour of independent steps,

E(X)=\sum_{i=1}^{60}E(X_i)=60(0)=0

and

\sigma^2(X)=\sum_{i=1}^{60}\sigma^2(X_i) \\  \\ =60(50)=300 \\  \\ \Rightarrow\sigma(X)=\sqrt{300}=17.32

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Y=2x+6, 3y=x-2 solve for unknown variables
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y=2x+6

Step: Substitute2x+6foryin3y=x−2:

3y=x−2

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6x+18=x−2(Simplify both sides of the equation)

6x+18+−x=x−2+−x(Add -x to both sides)

5x+18=−2

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(Divide both sides by 5)

x=−4

Step: Substitute−4forxiny=2x+6:

y=2x+6

y=(2)(−4)+6

y=−2(Simplify both sides of the equation)

Answer:

x=−4 and y=−2

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