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Multiply sides by ( x - 2 )
Simplification
Subtract sides 7x
Simplification
Negatives simpliflies
Divide sides by 4
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It would be better to buy the 8 bags because each bag costs 0.57 and the 5 bags cost 0.58 u divide the cost into the number of bags.
Answer: 8
<u>Step-by-step explanation:</u>
log₃ (x² - 32) = log₃ (4x) restrictions: x² - 32 > 0 and 4x > 0 ⇒ x > 4√2
x² - 32 = 4x
x² - 4x - 32 = 0
(x - 8)(x + 4) = 0
x - 8 = 0 or x + 4 = 0
x = 8 or x = -4
<em> -4 does not meet the restriction so not valid</em>
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Answer: y = 7x - 6
<u>Step-by-step explanation:</u>
<u> 7x -6 </u>
x² + 0x + 4 ) 7x³ - 6x² + 0x + 7
<u>-7x³ + 0x² - 28x</u>
-6x² - 28x + 7
<u> 6x² + 0x + 24</u>
-28x + 31
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Answer: x =
<u>Step-by-step explanation:</u>
ln 3 + ln x = ln 6 + ln (3x - 3) restrictions: x > 0 and 3x - 3 > 0 ⇒ x > 1
ln (3 * x) = ln (6*(3x - 3))
ln (3x) = ln (18x - 18)
3x = 18x - 18
<u>-18x </u> <u>-18x </u>
-15x = -18
x =
> 1 so answer is valid
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Answer: -5.9761
<u>Step-by-step explanation:</u>
log ₁₎₂ 63
=
=
= -5.9761
So you would use SOH CAH TOA and the inverse of whatever we will use to solve this problem. so we have two measurments 40ft and 25ft. so we will use the inverse of SOH which is sin. so Sin^-1(25/40)=38 degrees is your answer.
9514 1404 393
Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
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Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3