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3 years ago

F(x) =x^2+6x and g(x)=7-x find (f-g)(x) and (f-g)(9)

Mathematics

1 answer:

frez [133]3 years ago

7 0

F(x)=x²+6x
g(x)=7-x

(f-g)(x) means that f(x)-g(x), so
f(x)-g(x)
=x²+6x-7+x
Combining like terms
x²+6x+x-7
=x²+7x-7, so (f-g)(x)=x²+7x-7
Next,
(f-g)(x)
=x²+7x-7
(f-g)(9)
=(9)²+7(9)-7
=81+63-7
=144-7
=137, so (f-g)(9)=137. Hope it help!

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Find the standard deviation for the set of data. (17,26,28,9,30, 29,6,21,23}

gogolik [260]

Using it's concept, the standard deviation for the given data-set is of 8.22.

<h3>What are the mean and the standard deviation of a data-set?</h3>

The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.

The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean for this problem is:

M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21

Hence the standard deviation is:

$S = \sqrt{\frac{(17-21)^2 + (26-21)^2 + (28-21)^2 + \cdots + (21-21)^2 + (23-21)^2}{9}} = 8.22$

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

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2 years ago

If ƒ(x) = x + 2 and g(x) = 3x2 + 7x, find ....

Tamiku [17]

Answer:

The correct answer is option C

(f o g)(x) = 3x² + 7x + 2

Step-by-step explanation:

Points to remember

Composite functions

Let f(x) and g(x) be the two functions then (f o g)(x) can be written as

(f o g)(x) = f(g(x))

To find the value of (f o g)(x)

Here f(x) =x + 2 and g(x) = 3x² + 7x

(f o g)(x) = f(g(x))

= f(3x² + 7x)

= 3x² + 7x + 2

Therefore the correct answer is option C

(f o g)(x) = 3x² + 7x + 2

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3 years ago

Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the investment to grow to $10,000? U

Lady bird [3.3K]

Answer:

Step-by-step explanation:

sing the equation > A = Pe^rt

20000 = 10000e^0.1t > 10% = 0.1

2 = e^0.1t

log 2 = log e^0.1t > log to the base e

log 2 = 0.1t * 1 log e to the base e =1

0.6931 = 0.1t

t = 6.931

= 7 years

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3 years ago

A rectangular prism has a length of 114 yards, a width of 212 yards, and a height of 4 yards.

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