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IgorLugansk [536]
3 years ago
6

If f(x)=x+2 and g(x)=3x^2+7x find (f x g)(x)

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

3x³ + 13x² + 14x

Step-by-step explanation:

(f × g)(x)

= f(x) × g(x)

= (x + 2)(3x² + 7x)

= x(3x² + 7x) + 2(3x² + 7x) ← distribute parenthesis

= 3x³ + 7x² + 6x² + 14x ← collect like terms

= 3x³ + 13x² + 14x

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In a list of 7 consecutive integers, the sum of the first and last is 518. find the largest.
solong [7]

Answer:

262

Step-by-step explanation:

If x is the first integer, then x+1 is the second, x+2 is the third, and so on.  Meaning the 7th term in the list is x+6.

x + x + 6 = 518

2x = 512

x = 256

The first integer is 256, so the last integer is 262.

6 0
3 years ago
Can anyone help me with these questions 3? 1-10 pls
Alla [95]

Answer:

Step-by-step explanation:

1) A

2) C

3) B

4) A

5) A

6) C

7) B

8) B

9) B

10) A

3 0
3 years ago
four survivors in a lifeboat have enough water for 12 days. calculate how long the water would have lasted if there had 6 people
algol [13]
32 jnshxvs 34522gvvbkkmabsbfi
3 0
3 years ago
Last years freshman class at big state university totaled 5,305 students of those 1258 received a merit scholarship to help offs
Leokris [45]

Using the normal distribution, it is found that 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation for the amounts are given as follows:

\mu = 3456, \sigma = 478

The proportion is the <u>p-value of Z when X = 4250</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{4250 - 3456}{478}

Z = 1.66

Z = 1.66 has a p-value of 0.9515.

Hence 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0
2 years ago
On a map, 1 inch equals 25 miles.Two cities are 3 inches apart on the map.What is the actual distance between the cities?
SVEN [57.7K]

Answer:

75 miles

Step-by-step explanation:

We are given the scale on the map, which is that 1 inch is 25 miles in real life. We can write that as a ratio of 1 inch: 25 miles. Now say we have two inches, then we have 50 miles because we add on another 25 miles, then we do that again and we get to 75 miles.

Another way to think about it (more complicated):

you can represent ratios as a fraction

so we do 1/25=3/x

To find x, we can do (25*3)/1 which equals 75, if you don't know what I did there then you don't know, sorry!

you can also do it in a different way

same scenario though

you represent it as a fraction

and do 1/25=3/x. We see that the ratio from 1 to 3 is multiplied by 3 so that means the ratio from 25 to x is also going to be multiplied by 3, and 25 multiplied by 3 is 75.

Please let me know if you have any questions.

5 0
3 years ago
Read 2 more answers
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