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3 years ago

The mapping diagram shows a functional relationship.

Mathematics

2 answers:

likoan [24]3 years ago

6 0

Answer:

Step-by-step explanation:

x = domain, f(x) = range

Look for matching numbers:

f(4) = 1/2
f(x) = 4 when x = 8

Y_Kistochka [10]3 years ago

4 0

Answers:

f(4) is 1/2

f(x) = 4 when x is 8

====================================

Explanation:

Saying f(4) means f(x) when x = 4.

Locate 4 in the domain bubble. It points to 1/2 in the range bubble. This means x = 4 and y = 1/2 pair up. So f(4) = 1/2.

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When we're told f(x) = 4, we're given that y = 4 since y = f(x). So we need to find the x value that gets us to y = 4.

Locate y = 4 in the range. Trace the arrow in reverse to get to x = 8

f(8) = 4

You might be interested in

What property describe the number sentence 6 plus 0 equal 6

nata0808 [166]

The identity property of addition states that any number plus zero equals the original number. So, 6 + 0 = 6 shows the identity property of addition. Other number sentences that show this property would include: 8 + 0 = 8, 153 + 0 = 153, and 1,899,888 + 0 = 1,899,888. In each case, the original number plus 0 equals the original number. It doesn't matter how large or small the original number is.

8 0

3 years ago

Haley works at a candy store. There are 10 types of bulk candy. Find the probability that one type of candy will be chosen more

DIA [1.3K]

Answer:

Probability that one type of candy will be chosen more than once in 10 trials = 0.2639

Step-by-step explanation:

This is a binomial experiment because

- A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

- It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (10 trials, with the outcome of each trial being that we get the required candy or not)

- The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 10 trials

x = Number of successes required = number of times we want to pick a particular brand of candy = more than once, that is > 1

p = probability of success = probability of picking a particular brand of candy from a bulk with 10 different types of candies = (1/10) = 0.10

q = probability of failure = Probability of not picking our wanted candy = 1 - p = 1 - 0.1 = 0.90

P(X > 1) = 1 - P(X ≤ 1)

P(X ≤ 1) = P(X = 0) + P(X = 1)

P(X = 0) = ¹⁰C₀ (0.10)⁰ (0.90)¹⁰⁻⁰ = 0.3486784401

P(X = 1) = ¹⁰C₁ (0.10)¹ (0.90)¹⁰⁻¹ = 0.387420489

P(X ≤ 1) = 0.3486784401 + 0.387420489 = 0.7360989291

P(X > 1) = 1 - 0.7360989291 = 0.2639010709 = 0.2639

Hope this Helps!!!

5 0

3 years ago

Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m

lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

3/2 = 1.5 min = x min

so, it takes him 1.5 minutes (90 seconds) to run 500 m.

3 0

2 years ago

Why is the answer D?

Sedaia [141]

Step-by-step explanation:

Inflection points are where a function changes concavity (the second derivative changes signs). At x = 4, f"(x) goes from negative to positive, so that's an inflection point. However, at x = 8, we don't know if f"(x) changes signs or not. So we can't say that that's an inflection point.

4 0

4 years ago

Use the table to determine the degree of the power function.

valkas [14]

9514 1404 393

Answer:

Step-by-step explanation:

The x-values in the table are evenly-spaced, so we can determine the degree of the function by looking at successive differences of the f(x) terms.

f(x): -23, -4, 3, 4, 5, 12, 31

first differences: 19, 7, 1, 1, 7, 19

second differences: -12, -6, 0, 6, 12

third differences: 6, 6, 6, 6

The third differences are constant, so the function values can be matched by a third degree polynomial.

_____

Additional comment

The first differences are found by subtracting the function value from the next one. Likewise, the second differences are found by subtracting each first-difference value from the next one. An so on for the third differences.

The level at which the differences are constant is the degree of the polynomial that will match the function values. (Compare this to what you know about an arithmetic sequence, where first differences are constant and the sequence is described by a linear (degree 1) equation.)

5 0

3 years ago