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FrozenT [24]
3 years ago
11

If f(x)=3x+2 and g(x)=x-1/3 what is the value of f{g(7)}

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

Answer:

f(g(7)) = 22

Step-by-step explanation:

First find the general form of the new equation, f(g(x)):

f(x)=3x + 2

g(x)=x - 1/3

f(g(x)) = 3(x - 1/3) + 2

You can simplify that, or alternatively just plug in 7 now and solve:

f(g(7)) = 3(7 - 1/3) + 2

f(g(7)) = 3(20/3) + 2

f(g(7)) = 20 + 2

f(g(7)) = 22

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What are the zeros of the function?
cluponka [151]

The function is:

f ( x ) = x² - x - 72

This is a quatdratic function. So we can find the zeroes of the function with the formula:

x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )

And we have: a = 1, b = - 1 and c = - 72

x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2

x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2

x 1/2 = ( 1 +/- √289 ) / 2

x 1/2 = ( 1 +/- 17 ) / 2

x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8

x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9

Answer: The zeroes are - 8 and 9.

7 0
3 years ago
Two sides of an isosceles triangle have lengths of 3 and 10. Find the length of the third side.
lora16 [44]

Answer:

The third side must be 10:  {3, 10, 10}; {10, 3, 3} is not possible.

Step-by-step explanation:

Everything depends on our understanding of "isosceles."

This term indicates that two sides of a given triangle are equal.

If two sides of an isosceles triangle have lengths of 3 and 10, then:

Either 1)  Two sides have length 10 and the third side has length 3.  This is certainly possible

or

2)  sides have length 3 and the third side has length 10.  This is NOT possible, since 3 + 3 adds up to 6, which is less than 10.

8 0
3 years ago
Match the terms to their definition. 1. part-whole ratio a ratio comparing a portion of a whole quantity to the whole quantity 2
dem82 [27]

Answer:

They're already matched... at least they way you typed it.

Step-by-step explanation:

A ratio is a comparison of two numbers as a fraction or quotient. A part-whole ratio is a ratio comparing a part of something to the whole thing. A part-part ratio is ratio comparing two different parts of one whole.

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The answer to your question is 6.67.
6 0
3 years ago
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Tom [10]
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3 years ago
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