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3 years ago

Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 3?

2 answers:

8 0

G(x) = f(x)+5, so it is shifted up 5 units.

or, 

f(x) = 2x-3 
g(x) = 2x+2 = 2(x+5/2)-3 
So, g(x) is f(x) shifted left 5/2

tiny-mole [99]3 years ago

8 0

Answer:

it shifted left 5 units

Step-by-step explanation:

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Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

Ksju [112]

Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are without replacement.

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

5 0

3 years ago

Select all numbers that are irrational.

klasskru [66]

Answer:

The square root of 0.33 is the only irrational number.

Step-by-step explanation:

.25 NOT

sq rt. of .25 is .5

sq rt. of .33 is .574456....

7 0

3 years ago

Find the slope of the line that passes through the pair of points (4.5, 13.5) and (–3.5, –9).

Zigmanuir [339]

Given two points: (x₁,y₁) and (x₂,y₂) the slope "m" will be:
m=(y₁-y₂) / (x₁-x₂) or m=(y₂-y₁) / (x₂-x₁)

In this case:
(4.5 , 13.5)
(-3.5 , -9)

m=(-9-13.5) / (-3.5-4.5)=-22.5 / -8=2.8125

Answer: the slope will be m=2.8125.

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3 years ago

The results of a school election are shown in the circle graph below.

Nastasia [14]

Angelina received 625 votes.

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3 years ago

If a subway car travels at at rate of 32 feet per second, how far does it travel in 16 seconds?

Vanyuwa [196]

512 feet per 16 seconds

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3 years ago

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