Answer:
y=4x-2
Step-by-step explanation:
y=mx+b
where m=slope and b=y-intercept.
y-6=4(x-2)
y-6=4x-8
y=4x-8+6
y=4x-2
The answer is: " 32a² − 24a − 8 " .
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Given:
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(8a − 8)(4a + 1) ; Let us expand this expression using the: "FOIL" method.
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"FOIL" stands for "<u>F</u>irst terms, <u>O</u>uter terms, <u> I</u>nner Terms, <u>L</u>ast Terms" ;
in that order.
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Basically:
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(a + b)(c + d) = ac + ad + bc + bd ;
in which the:
<u>F</u>irst term is: "ac" ;
<u>O</u>uter term is: "ad" ;
<u>I </u>nner term is: "bc" ;
<u>L</u>ast term is: "bd " .
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So; we have (given):
(8a − 8)(4a + 1) ;
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Let's take the "<u>F</u>irst, <u>O</u>uter, <u> </u><u>I</u>nner, and <u>L</u>ast terms" ; as follows:
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<u>F</u>: (8a)*(4a) = 32a² ;
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<u>O</u>: (8a)*(1) = 8a ;
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<u>I </u>: (-8)*(4a) = -32a ;
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<u>L</u>: (-8)*(1) = -8
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Now, let us write out these terms:
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32a² + 8a − 32a - 8 ;
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Now, combine the "like terms" in this expression; to simplify:
+ 8a − 32a = -24a ;
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and rewrite the simplified expression ; which is:
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32a² − 24a − 8 .
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Answer:
47 weeks
Step-by-step explanation:
you multiply 20 times 5 because he makes 5 dollars and hour and works 20 hours a week, so then you get 100. so he makes 100 dollars in a week. then you divide 100 by 4650 and get 46.5 which rounded up is 47. so he needs to work 47 weeks.
Answer:
105 and 106
Step-by-step explanation:
The consecutive pages are such that the difference between the numbers of these pages is 1. As such, if the number on the first of the two pages is x, the second will be x + 1.
Hence, given that the sum of the numbers two pages is 211,
x + x + 1 = 211
2x = 210
x = 105, the next
= 105 + 1
= 106
Answer:
x = 0
Step-by-step explanation:
2x - 6 + 9 ; -6 + 9 = 3
2x + 3= 3x + 3 + x
3x plus x = 4x
2x + 3 = 4x + 3
x = 0
