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zavuch27 [327]
3 years ago
10

Find the slope of every line that is parallel to the line on the graph ob Enter the correct answer. 6 4 OOO DONE Clear al N ? (-

8,0) 10-12 pop -6 ko 8 ४ 2 2 8 do​

Mathematics
1 answer:
Yuri [45]3 years ago
6 0

Step-by-step explanation:

x=-6 y= 0

x0 y= -1

y=mx+b

b= -1

0= -6m -1

-6m= 1

m= -1/6

parallel lines have the same slope

slope = -1/6

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Ten thousand raffle tickets are sold. one first prize of$2000,4 second prizes of $800 each, and10 third prizes of$400 each are t
Makovka662 [10]
From the information given:
Random wins      2000       800        400           0
Probabilities        1/10^4   4/10^4    10/10^4    9985/10^4
thus the expectation will be:
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3 0
3 years ago
Because of their connection with secant​ lines, tangents, and instantaneous​ rates, limits of the form ModifyingBelow lim With h
Gre4nikov [31]

Answer:

\dfrac{1}{2\sqrt{x}}

Step-by-step explanation:

f(x) = \sqrt{x} = x^{\frac{1}{2}}

f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}

We use binomial expansion for (x+h)^{\frac{1}{2}}

This can be rewritten as

[x(1+\dfrac{h}{x})]^{\frac{1}{2}}

x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}

From the expansion

(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots

Setting x=\dfrac{h}{x} and n=\frac{1}{2},

(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots

=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots

Multiplying by x^{\frac{1}{2}},

x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots

x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots

\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots

The limit of this as h\to 0 is

\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}} (since all the other terms involve h and vanish to 0.)

8 0
3 years ago
Which of the following describes a correct process for solving the equation 3(x + 6) = 21 and arrives at the correct solution?
Gnoma [55]

Answer:

A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.

Step-by-step explanation:

3(x + 6) = 21

Divide both sides by 3

(x + 6) = 7

Subtract 6 from each side

x = 7-6

x=1

6 0
3 years ago
Read 2 more answers
What does x=? I know it is vertical
Rudik [331]
The angles are <span>supplementary
</span>
7x + x + 20 = 180
8x = 160
x = 20
6 0
4 years ago
Read 2 more answers
EXERCISES 1. The mean of the number 5, 2, 3, x, 9 is 48. Find the value of and state the mode of the five numbers Given the foll
IrinaVladis [17]

Answer:

66

Step-by-step explanation:

I don't know the explanation but the answer is correct.

5 0
3 years ago
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