An exponent is the same thing as a power. For example, 5 to the fourth power is the same as 5 with an exponent of 4.
The correct answer is: [D]: " y = - 4x − 13 " .
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Explanation:
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All the answer choices given are written in "point-slope format" (also known as "slope-intercept format" — that is: " y = mx + b" .
All of the answer choices given have a slope of "-4" ; that is: "m = -4" .
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The only answer choice with the equation that passes through point
"(-3, 1)" — that is, when "x = -3, y = 1" — is:
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Answer choice: [D]: " y = - 4x − 13 " .
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In the equation: " y = - 4x − 13 " ; when "x = - 3, y = 1" .
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Given: " y = - 4x − 13 " ;
↔ - 4x − 13 = y ;
Plug in "(-3)" for "x" ; and see that "y = 1" ;
-4(-3) − 13 = y ;
12 − 13 = y = -1 ;
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So, when x = -3, y = 1 .
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The correct answer is: [D]: " y = - 4x − 13 " .
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Consider choice: [A]: " y = - 4x + 13 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 13 = y ; 12 + 13 = 25 ; NOT "-3" .
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Consider choice: [B]: " y = - 4x + 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 7 = y ; 12 + 7 = 19 ; NOT "-3" .
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Consider choice: [C]: " y = - 4x − 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) − 7 = y ; 12 − 7 = 9 ; NOT "-3" .
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This leaves us with "Answer choice: [D]: " y = - 4x − 13 " ; the only remaining answer choice; which we have already confirmed is correct; so we do not need to check.
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Hope this helps!
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1 ) f ( x ) = 3 x
He can write { 9, 12, 18, 21, 27 } comic strips.
2 ) f ( x ) = 5 x - 3
- 13 = 5 x - 3
5 x = - 10
x = -2, etc.
The domain is: { - 2 , - 1 , 0, 3, 4 }
3 ) f ( x ) = 2 x
It will take { 8, 20, 28, 32, 36 } hours.
The area is the same no matter how you calculate it.
.. (1/2)*20*12 = (1/2)*30*h
.. h = (2/3)*12 = 8 . . . . . feet
Answer:
a-
y=80
x=18
b-
y=24
x=6
(might have to recheck letter a)