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Butoxors [25]
3 years ago
9

If 8^y=16^y+2, what is the value of y? A) -8 B) -4 C) -2 D) -1

Mathematics
1 answer:
Pie3 years ago
6 0
8=2^3;\ 16=2^4

Use:\ (a^n)^m=a^{nm}

8^y=16^{y+2}\\\\(2^3)^y=(2^4)^{y+2}\\\\2^{3y}=2^{4(y+2)}\iff3y=4(y+2)\\\\3y=4y+8\ \ \ |-4y\\\\-y=8\to y=-8

Answer: A) -8.

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3 years ago
Donna takes classes at both Westside community college and pinewood community college. at westside , class fees are $98 per cred
Alex777 [14]

Answer:

Expression for the combined total dollar amount she paid for her class fees is  (2185 - 17 w)

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Let Donna  is taking w credit hours at Westside.

Total combined credit hours at two schools =  19 hours

So, the number of credit hours at Pinewood  =  19 - w

The per hour fees credit of Westside community college = $98

So, the total fees paid for w hours  = w x Fees per hour

= w ( $98)  = $(98w)

⇒The fees Donna pays at Westside community college =  $ (98 w)

The per hour fees credit of Pinewood community college = $115

So, the total fees paid for (19 -w) hours  = (19 -w) x Fees per hour

= (19 -w) ( $115)  = $(2185 - 115 w)

⇒The fees Donna pays at Pinewood community college =$(2185 - 115 w)

Hence, the total fees paid by Donna

= Fees at Westside + Fees at Pinewood

= $ (98 w)  + $(2185 - 115 w)

= $(2185 - 17 w)

Hence, expression for the combined total dollar amount she paid for her class fees is $(2185 - 17 w)

8 0
4 years ago
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VARVARA [1.3K]

Answer:

B

Step-by-step explanation:

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6 + -4 * x¹ + 4 * x² + 2 *x³

= 2x³ +4x² -4x+6

6 0
3 years ago
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