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2 years ago

Determine the quadrant ( I, II, III, and IV ) or axis (x and y ) where each of the following point is located.

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

7 0

Answer:

1. ( 0,-6 ) is y-axis

2. ( 15,4 ) is l quadrant

3. ( 100, -5 ) is lV quadrant

4. ( 0.004, .05 ) is l quadrant

5. ( -4,0 ) is x-axis

8. ( -7.5, -6.3 ) is lll quadrant

9. ( 0.1000) is y-axis.

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3 years ago

Describe the error made when converting the equation to vertex form.

ale4655 [162]

Answer:

adding 36

Step-by-step explanation:

should be:

y-27=x²-12x

+12 +12

y-15=x²+x

y-15=x³

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2 years ago

A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water

Aloiza [94]

Answer:

The answer is $\frac{1}{256}$

Step-by-step explanation:

If we assume that people cannot taste a difference between bottled water, then the probability of identifying tap water is 0.5

Thus, P(identify tap water)=0.5

The probability that at least 8 of the 9 people identify the tap water correctly is the sum of the probabilities

8 of 9 people identified correctly or
9 of 9 people identified correctly

Since P(identify tap water)=0.5 each probabilities are the same and equal to

$0.5^9$ = $\frac{1}{512}$

So we have $2*\frac{1}{512}$ = $\frac{1}{256}$

6 0

3 years ago

Function f(x)=|x| is transformed to create function g(x)=|x+4|+3. What transformations are performed to function f to get functi

Ahat [919]

Answer:

Step-by-step explanation:

Function f(x)=|x| is transformed to create function g(x)=|x+4|+3. What transformations are performed to function f to get function g? Select each correct answer.

Function f is translated 4 units to the right.

Function f is translated 3 units to the left.

Function f is translated 4 units down.

(this one is correct) Function f is translated 3 units up.

Function f is translated 4 units up.

(this one is correct) Function f is translated 4 units to the left.

Function f is translated 3 units to the right.

Function f is translated 3 units down.

3 0

2 years ago

Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa

Anni [7]

Answer:

1. $\( f\circ g(x)=0.05x-150$

2. $\( g\circ f(x)=0.05x-3000$

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

$f\circ g(x)=f(g(x))$

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

f(x) = 0.05x
g(x) = x - 3000

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

2. The composition of the function

$g\circ f(x)=g(f(x))$

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

$g(f(x))=((0.05x)-3000)=0.05x-3000$

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

4 0

3 years ago