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4 years ago

99 POINTS ,Correct answer

Mathematics

2 answers:

Finger [1]4 years ago

7 0

Answer:

g(x) = (x - 3)3

Step-by-step explanation:

Compare to the parent function of f(x) = x3, the displayed graph is shifted to the "left" by 3 units so it is a translation in the x-direction.

The answer is g(x) = (x - 3)3

matrenka [14]4 years ago

6 0

Answer:

Step-by-step explanation:

from the graph, y=0 when x=3

so that eliminates:

g(x) = (x + 3)3

g(x) = x3 + 3

g(x) = x3 − 3

ans is g(x) = (x-3)^3

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(40 POINTS)

34kurt

Answer:

1. y= 25400(1 + 0.11)^x

2. 2019

Step-by-step explanation:

1. y = a(1 + r)^x

(exponential growth formula :

a = initial value (the amount before measuring growth or decay)

r = growth or decay rate (usually represented as a percentage and expressed as a decimal)

x = number of time units that have passed)

y= 25400(1 + 0.11)^x

so in 1 year, in 1996, we would say

y=25400(1+0.11)^1

y=25400(1.11)

y=28194

2. I found the answer by plugging in numbers into x

with x = 24

y= 25400(1+0.11)^24

y= 310874

so in 24 years, the population will surpass 302438 which would be 1995+24= 2019

3 0

3 years ago

Based on the inequality above, explain why the 'greater than' sign ( > ) changes to a 'less than' ( < ) sign.

Ainat [17]

Because when you divide both sides by a negative number, the inequality sign changes.

4 0

4 years ago

Please help quick! V=?

Stells [14]

Answer:

904.78

Step-by-step explanation:

we have the radius, which is 6.

were trying to find the volume.

the foemula for the v of a sphere is 4/3(pi)r^3

so, multiply 4/3 times pi and we get 4.18879.

find 6^3, which is 216. multiply tyese two values, and we get 904.77864.

so, the volume of this sphere is around 904.78

3 0

3 years ago

Timothy creates a game in which the player rolls 4 dice. What is the probability in this game of having exactly two dice or more

devlian [24]

Answer:

B. 0.132

Step-by-step explanation:

For each time the dice is thrown, there are only two possible outcomes. Either it lands on a five, or it does not. The probability of a throw landing on a five is independent of other throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Timothy creates a game in which the player rolls 4 dice.

This means that $n = 4$

The dice can land in 6 numbers, one of which is 5.

This means that $p = \frac{1}{6}$

What is the probability in this game of having exactly two dice or more land on a five?

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{2} = 0.116$

$P(X = 3) = C_{4,2}.(\frac{1}{6})^{3}.(\frac{5}{6})^{1} = 0.015$

$P(X = 4) = C_{4,4}.(\frac{1}{6})^{4}.(\frac{5}{6})^{0} = 0.001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.116 + 0.015 + 0.001 = 0.132$

So the correct answer is:

B. 0.132

8 0

3 years ago

What exponent is assumed is we just have the number ? For example what is the exponent for the following:80 1 0 0 0 1000 8

Softa [21]

Answer: 1

$\begin{gathered} \text{According to the law of indices} \\ x^1\text{ = x} \\ \text{Therefore,} \\ 8^1\text{ = 8} \\ \text{Where the exponent is 1} \end{gathered}$

7 0

1 year ago