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3 years ago

Given f(x) = 3x - 1 and g(x)= -x + 6, find f(-2) + g(5). A. -6 B. 6 C. 8

Mathematics

1 answer:

marta [7]3 years ago

5 0

Answer:

A. -6

Step-by-step explanation:

$f(x)=3x-1\\\\$

In order to find $f(-2)$ we will plugin $x=-2$

$f(-2) = 3(-2)-1\\f(-2)=(3\times(-2))-1\\f(-2)=-6-1$

$f(-2)=-7$

$g(x)=-x+6$

In order to find $g(5)$ we will plugin $x=5$

$g(5)=-5+6$

$g(5)=1$

$f(-2)+g(5)\\=-7+1\\=-6$

∴ $f(-2)+g(5)=-6$

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Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.

Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

$420* 12=$

$5040$

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

6% means 6 per cent/hundred, so it can be represented as:

$\frac{6}{100}$

The fraction $\frac{6}{100}$ can be represented as (we're two places behind the decimal, in the hundredths place):

$0.06$

Now, multiply the decimal form of 6% by $5040:

$0.06*5040=$

$302.40$

Therefore, Mason's rent will increase by $302.40 next year.

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

$302.40$ ÷ $12=$

$25.20$

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

$420+25.20=$

$445.20$

Therefore, Mason's new rent per month next year will be $445.20.

7 0

3 years ago

The cost of 3 candles is 19.50 what is the unit price with work shown

kobusy [5.1K]

Well, since 3 candles are 19.50, simply divide. This will make a ratio so that 1 candle will equal 6.50 per candle.

19.50 / 3 candles = 6.50 per candle.

5 0

3 years ago

Pls, help there is no pic.

nata0808 [166]

Answer:

160

Step-by-step explanation:

360/(1+2+2+4)=40

4*40=160

3 0

3 years ago

Conditional Distribution, Marginal Distribution, Joint Distribution. What’s the difference?

lutik1710 [3]

Explanation:

Marginal distribution: This distribution gives the probability for each possible value of the Random variable ignoring other random variables. Basically, the values of other variables is not considered in the marginal distribution, they can be any value possible. For example, if you have two variables X and Y, the probability of X being equal to a value, lets say, 4, contemplates every possible scenario where X is equal to 4, independently of the value Y has taken. If you want the probability of a dice being a multiple of 3, you are interested that the dice is either 3 or 6, but you dont care if the dice is even or odd.

Conditional distribution: This distribution contrasts from the previous one in the sense that we are restricting the universe of events to specific condition for other variable, making a modification of our marginal results. If we know that throwing a dice will give us a result higher than 2, then to in order to calculate the probability of the dice being a multiple of 3 using that condition, we have two favourable cases (3 and 6) from 4 total possible results (3,4,5 and 6) discarding the impossible values (1 and 2) from this universe since they dont match the condition given (note that the restrictions given can also reduce the total of favourable cases).

The joint distribution calculates the probabilities for two different events (related to two different random variables) occuring simultaneously. If we want to calculate the joint probability of a dice being multiple of 3 and greater than 2 at the same time, our possible cases in this case are 3 and 6 from 6 possible results. We are not discarding 1 or 2 as possible results because we are not assuming, that the dice is greater than 2, that is another condition that we should met in the combination of events.

3 0

3 years ago

Please explain!!!!!!!!!!!!!!

dexar [7]

You have to multiply by 16's and then divide the two numbers

6 0

3 years ago

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