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3 years ago

Explain how to find the domain and range for a graph.

Mathematics

1 answer:

Bond [772]3 years ago

5 0

Domain is what numbers can be put in for x values.

Range is the numbers that can be given out as outputs (y).

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Explain why the ential value of any function of the form f(x)=a (b^×) is equal to a

EastWind [94]

Initial value is when x=0

that is
f(0)=a(b^0) or
f(0)=a(1) or
f(0)=a

remember that x^0=1 for all values of x

4 0

3 years ago

(02.03 MC) The temperature at a mountain base camp was −2 degrees Celsius on Thursday. Friday morning, the temperature was 1 deg

aev [14]

Answer:

The temperature at the base camp Friday evening is - 6 degrees Celsius.

Step-by-step explanation:

To get the temperature at a mountain base camp on Friday evening, we must translate statement into a mathematical form:

(i) The temperature at a moutain base camp was - 2 degress Celsius on Thursday:

$T_{o} = -2\,^{\circ}C$

(ii) Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday:

$\Delta T_{1} = -1\,^{\circ}C$

(iii) Friday evening, the temperature was 3 degrees Celsius lower that it was that morning:

$\Delta T_{2} = -3\,^{\circ}C$

The temperature at the base camp Friday evening is:

$T = T_{o}+\Delta T_{1}+\Delta T_{2}$

$T = -2\,^{\circ}C-1\,^{\circ}C-3\,^{\circ}C$

$T = -6\,^{\circ}C$

The temperature at the base camp Friday evening is - 6 degrees Celsius.

6 0

4 years ago

Keith bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are n

Nat2105 [25]

Answer:

52 cards

Step-by-step explanation:

call the amount he started with " x "

then he bought 8 cards

so the new equation is

x+8

then he lost half of his cards

so now the equation is

(x + 8 )/2

that amount to 30 cards as per what is given in the problem

so now the equation is

( x + 8 )/2 = 30

solve using inverse operations and simplifying

( x + 8 )/2 = 30

*2 *2

x + 8 = 60

-8 -8

x = 52

8 0

4 years ago

Please help me, I will be so thankful

worty [1.4K]

Answer:

Step-by-step explanation:

g(-4) = 4 , x < -2

g(-2) = (x - 1)² ; -2≤x< 1

= (-2-1)²

= (-3)²

g(-2) = 9

g(0) = (x -1)² ; -2 ≤ x < 1

= (0 -1)²

= (-1)²

= 1

8 0

3 years ago

Consider the game where two dice, die A and die B, are rolled. We say that die A wins, and write A > B, if the outcome of rol

In-s [12.5K]

Answer:

a) The probability of a tie is the probability of getting the same outcome in both dice.

First, we roll die A and we get a given outcome. (here the probability is 1 because there is no restriction)

Now we need to roll die B and get the same outcome, so here we have only one possible outcome out of 6, then in this case the probability is 1/6

The joint probability (the product of the individual probabilities) is: P = 1*(1/6) = 1/6

b) We want to find the probability that die A wins.

Here we need to analyze each possible outcome for die A.

Let's define:

pₙ = probability of winning given that the outcome is n.

If the outcome is a 1, die A can only lose or tie, then here:

p₁ = 0

If the outcome is a 2, then die A only wins if die B rolls a 1, (1 outcome out of 6)

Then the probability of winning is:

p₂ = 1/6

If the outcome is a 3, then die A wins if die B rolls a 1 or a 2, here we have two possible outcomes out of 6.

p₃ = 2/6

We already can see the pattern, if the outcome is a 4, we get:

p₄ = 3/6

if the outcome is a 5:

p₅ = 4/6

if the outcome is a 6:

p₆ = 5/6

The total probability is the sum of all the joint probabilities:

For each roll in dice A, the probability is 1/6 (the probability of getting a given outcome)

Then the probability that die A wins is:

P = (1/6)*p₁ + (1/6)*p₂ + ... = (1/6)*(p₁ + p₂ + p₃ + p₄ + p₅ + p₆)

P = (1/6)*(0 + 1/6 + 2/6 + 3/6 + 4/6 + 5/6)

P = (1/6)*(15/6) = 0.4167

3 0

3 years ago