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4 years ago

Let f(x)=3x2−5x+13 and g(x)=2x−7 . What is g(f(x)) ?

Mathematics

1 answer:

grigory [225]4 years ago

7 0

Option B: $6x^2-10x+19$ is the correct answer

Step-by-step explanation:

Given functions are:

$f(x) = 3x^2-5x+13\\g(x) = 2x-7$

We have to find g(f(x))

So,

$g(f(x)) = 2(f(x))-7\\= 2(3x^2-5x+13)-7\\=6x^2-10x+26-7\\= 6x^2-10x+19$

Hence,

Option B: $6x^2-10x+19$ is the correct answer

Keywords: Functions, Composition

Learn more about functions at:

#LearnwithBrainly

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The data to the right represent the weights (in grams) of a random sample of 50 candies. Complete parts (a) through (f). 0.92

Inessa05 [86]

Answer:

0.069

Step-by-step explanation:

The given data set is

0.92, 0.87, 0.88, 0.82, 0.82, 0.87, 0.97, 0.86, 0.89, 0.84, 0.81, 0.88, 0.77, 0.86, 0.93, 0.84, 0.72, 0.82, 0.74, 0.83, 0.93, 0.75, 0.79, 0.91, 0.84, 0.91, 0.88, 0.88, 0.83, 0.78, 0.99, 0.81, 0.78, 0.75, 0.82, 0.76, 0.82, 0.87, 0.91, 0.77, 0.72, 0.94, 0.71, 0.73, 0.81, 0.81, 0.86, 0.93, 0.93, 0.82.

Formula for mean:

$Mean=\frac{\sum x}{n}$

Sum of all terms = 41.98

Mean of the data set is

$Mean=\frac{41.98}{50}$

$Mean=0.8396$

Formula for standard deviation for population:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n}}$

Formula for standard deviation for sample:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n-1}}$

$\sigma=\sqrt{\frac{0.231792}{50-1}}$

$\sigma=\sqrt{0.004730449}$

$\sigma=0.06877826$

$\sigma\approx 0.069$

Therefore, the standard deviation of the data set is 0.069.

5 0

3 years ago

Solve the equation:<br> 64 x 216^x =54^x

GaryK [48]

Answer:

x=1/256

Step-by-step explanation:

hope it helps you

4 0

3 years ago

2/10 (4/5)-(5/2)+ (10)

Dima020 [189]

Answer:

2/10 (4/5)-(5/2)+ (10)=7.66

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3 years ago

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poizon [28]

To my understanding, it would be 275.

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3 years ago

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What is the ratio of the length of DE to the length of BC?

laila [671]

Answer: OD, 1/5

Step-by-step explanation:

Well what I did was take DE and seen how many time it could fit into BC. BC would take up a total of 5 DE's. So since we already have one which is DE then we would have 1/5.

HOPE THIS HELPS! ^_^

7 0

2 years ago