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anygoal [31]
3 years ago
11

Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.

Mathematics
1 answer:
Bad White [126]3 years ago
3 0
We have that

<span>f(x) = 3x + 2
</span><span>g(x) = x - 3

[</span>g(x) - f(x)]=(x-3)-(3x+2)--------> (x-3-3x-2)-----> -2x-5

the domain is all real numbers

the answer is
<span>–2x – 5; all real numbers</span>
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Jericho is doing a quick survey for his high school newspaper. He hands out a simple index card to 100 seniors in his high schoo
Kazeer [188]

Answer:

50

Step-by-step explanation:

From research among high school students in the US, it was discovered in 2017 by US Centre for Disease Control and Prevention Agency(USCDC), that around 57.8% of high school students have drank alcohol in the previous 1 year.

Now, applying it to this question, since the survey is done among 100 seniors, the most modest probability would likely be 50% which represents 50 people out of the 100 surveyed that will likely check yes

8 0
3 years ago
The average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed. What is
Anna35 [415]

Answer:

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

Step-by-step explanation:

We are given that the average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed.

Firstly, Let X = women's gestation period

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = average gestation period = 270 days

            \sigma = standard deviation = 9 days

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is given by = P(261 < X < 279) = P(X < 279) - P(X \leq 261)

         P(X < 279) = P( \frac{ X - \mu}{\sigma} < \frac{279-270}{9} ) = P(Z < 1) = 0.84134

         P(X \leq 261) = P( \frac{ X - \mu}{\sigma} \leq \frac{261-270}{9} ) = P(Z \leq -1) = 1 - P(Z < 1)

                                                           = 1 - 0.84134 = 0.15866

<em>Therefore, P(261 < X < 279) = 0.84134 - 0.15866 = 0.68</em>

Hence, probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

3 0
3 years ago
How many duckling were swimming at the pond?
EleoNora [17]

Answer:

There are 20 ducklings.

Step-by-step explanation:

For every group of 6 ducks, 5 would be ducklings.

24 / 6 = 4

There are 4 groups of ducks.

5 * 4 = 20

4 0
3 years ago
4 (-3x - 1) = 13x + 6
GarryVolchara [31]

Answer:

x=-2/5

Step-by-step explanation:

4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis

-12x-4 = 13x+6 ~ add 12x to both sides

-4= 25x + 6  ~ subtract 6 from both sides

-10 =25x ~ divide by 25

-10/25 = x ~ simplify the fraction by dividing the num. and den by 5

-2/5 =x

4 0
3 years ago
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angle RUS with measure of 40 degrees and angle SUT with measure of y degrees If ray US is an angle bisector of ∠RUT, find m∠RUT.
ivolga24 [154]

Step-by-step explanation:

m<RUT = 150°

hope this helps you. mark as brilliantist

4 0
3 years ago
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