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2 years ago

Which of the following is the parent function of all absolute value functions?

Mathematics

1 answer:

Veronika [31]2 years ago

7 0

F(x)=|x|

a parent function is the basic function before it has undergone transformations.

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Select all the expressions which are equivalent to -4/3p - 2/5

AVprozaik [17]

Answer

-2/5 -4/3 p and -4/3p+ (-2/5)

Step-by-step explanation:

those two are the only answers that has both parts of the expressions as negative.

6 0

2 years ago

Iq scores are normally distributed with a mean of 100 and a standard deviation of 15 what is the probability that a randomly sel

a_sh-v [17]

So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:

z = x - mean/s.d.

where x is our I.Q. we are looking for

So we plug in our numbers and we get:

126-100/15 = 1.73333

Next we look at our z-score table for our P-value and I got 0.9582

Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get

1 - 0.9582 = 0.0418

Since they are asking for the probability, we multiply our P-value by 100, and we get

0.0418 * 100 = 4.18%

And our answer is

4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!

6 0

2 years ago

After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decrease

Digiron [165]

Answer:

the answer is 5.5

5 0

2 years ago

Read 2 more answers

John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made.

ivann1987 [24]

1 basket is between 9 and 10 minutes .

Step-by-step explanation:

Here we have , John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made. We need to find How many baskets were made between 9 and 10 minutes . Let's find out:

In order to calculate baskets between 9 min and 10 min we will find baskets at 10 min and at at 9 min , will subtract than !

Baskets at 10 min :

At 4 min we have 5 baskets so , in 10 min

⇒ $(10)\frac{5}{4}$

⇒ $1.25(10)$

⇒ $12.5$

Baskets at 9 min :

At 4 min we have 5 baskets so , in 9 min

⇒ $(9)\frac{5}{4}$

⇒ $1.25(9)$

⇒ $11.25$

So , Baskets between 10 & 9 min is $12.5-11.25=1.25$ , which on rounding off gives 1 . Therefore , 1 basket is between 9 and 10 minutes .

3 0

2 years ago

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0

2 years ago