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3 years ago

Evaluate the function as indicated determine its domain and range.

1 answer:

7 0

-1<0 so use 2x+1 2(-1)+1=-2+1=-1 -
F(-1) means "Evaluate F(x) when x=-1" Since -1 is less than 0, this means that F(x) = 2x+1. This is because F(x) = 2x+1 when x < 0

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Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 +

Fantom [35]

Answer:

$(B)\sqrt{21}\\(C)\sqrt{13+8}$

Step-by-step explanation:

Given the expression $(13 + 8) ^{1/2}$

Using law of indices: $a^{1/2}=\sqrt{a}$

$(13 + 8) ^{1/2}=\sqrt{13+8}$

Also:13+8=21

Therefore:

$(13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}$

8 0

4 years ago

If the quotient is 12 and the dividend is 288 what is the divisor

WARRIOR [948]

To solve the question we proceed as follows;
dividend/divisor=quotient
from above we can say that:
divisor=dividend/ quotient
=288/12
=24
The divisor is 24

4 0

3 years ago

Convert from Standard Form to Slope Intercept Form 3x + 2y = 6

Ilia_Sergeevich [38]

Answer:

y = -3/2x + 3

General Formulas and Concepts:

Algebra I

Equality Properties

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Standard Form: 3x + 2y = 6

Step 2: Find slope-intercept form

Subtract 3x on both sides: 2y = 6 - 3x
Divide both sides by 2: y = 3 - 3/2x
Rewrite: y = -3/2x + 3

And we have our final answer!

5 0

3 years ago

What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.

Nesterboy [21]

Answer:

Step-by-step explanation:

1/2+1/3+1/4 - 0.9

0.9 = 9/10

So, 1/2+1/3+1/4+9/10

The LCD is 60:

30/60+20/60+15/60+54/60 = 120/60

120/60 = 2

PLEASE MARK ME BRAINLIEST!

6 0

3 years ago

Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,

Aleksandr-060686 [28]

Answer:

The expected value of the points earned on a single roll in this game is $\dfrac{1}{6} = 0.1667$ .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is $\dfrac{1}{6}$ .

Numbers on the dice (X) P(X)

+1 $\frac{1}{6}$

+2 $\frac{1}{6}$

+3 $\frac{1}{6}$

-4 $\frac{1}{6}$

+5 $\frac{1}{6}$

-6 $\frac{1}{6}$

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X) = $\sum X \times P(X)$

= $(+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}$

= $\frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}$

= $\frac{1+2+3-4+5-6}{6}$

= $\frac{11-10}{6}= \frac{1}{6}$

Hence, the expected value of the points earned on a single roll in this game is $\frac{1}{6} = 0.1667$ .

4 0

3 years ago