(4^p*4^1)^3 = 4^15
add the exponents
(4^(p+1))^3 = 4^15
power to the power means multiply
(4^3(p+1)) = 4^15
the bases are the same so the powers have to be the same
3(p+1)) = 15
divide by 3
p+1 =5
subtract 1
p=4
Eric is incorrect. p=4
Answer:
B) only (-3 , 3)
Step-by-step explanation:
y = -3x - 6
(-4,4) y = -3 x (-4) - 6 = 12 - 6 = 6 .... incorrect
(-3,3) y = (-3) x (-3) - 6 = 9 - 6 = 3 ..... correct
Multiply denominator (in this case do 6x10)
Multiply the numerator (in this case do 1x1)
So the answer is 1/60
2 13/25+3 and 99 one hundreds
Answer: y = (x-2)/3
This is equivalent to y = (1/3)x - 2/3
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To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.
y = 3x+2
x = 3y + 2 ... x and y swapped
x-2 = 3y
3y = x-2
y = (x-2)/3
y = x/3 - 2/3
y = (1/3)x - 2/3
This final equation has slope 1/3 and y intercept -2/3
