3 years ago

Find the function and simplify the function rule. f(x) = 5x + 1 g(x) = 3x - 4 (f+g)(x) =

Mathematics

1 answer:

IRISSAK [1]3 years ago

4 0

Answer:

( f + g )( x ) = 8x - 3

Step-by-step explanation:

What this is saying is to add the two functions together.

( 5x+1 ) + ( 3x - 4 )

( f + g )( x ) = 8x - 3 is the simplified version.

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The circumference of a circle exceeds the radius by 74 cm. Find the radius of the circle.

saw5 [17]

Answer:

14 cm.

Step-by-step explanation:

Let the radius of the circle = r cm.

Then circumference of circle = 2 π r.

Since circumference exceeds the radius by 74 cm

Therefore, according to the question,

$\sf \:2 π r = r+ 74$

$\sf \: = > 2 \times \frac{22}{7} \times r = r \: + 74$

$\sf \: = > \frac{44r}{7} -r = 74$

$\sf \: = > \frac{44r - 7r}{7} = 74$

$\sf \: = > \frac{37r}{7} = 74$

$\sf \: = > r = \frac{7 \times 74}{37}$

$\sf \: = > r = 14$

Hence, the radius of the circle is 14 cm.

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prisoha [69]

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