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Alexus [3.1K]
3 years ago
15

Which of the following is the inverse of y = 3 Superscript x? y = StartFraction 1 Over 3 Superscript x Baseline EndFraction y =

log Subscript 3 Baseline x y = (one-third) Superscript x y = log Subscript one-third x
Mathematics
2 answers:
Svet_ta [14]3 years ago
8 0

Answer: C

Y=(1/3)^X

Step-by-step explanation:

Find the inverse of y=3^x which is f^-1 (x) = −ln(x)/ln(3) which is also the inverse for C.

sdas [7]3 years ago
5 0

Answer:

y = log Subscript 3 Baseline x

Step-by-step explanation:

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What is the midpoint of the vertical line segment graphed below? (2, 4), (2, -9) A. (4, -5). B. (2, -5/2). C. (2, -5). D. (4, 5/
omeli [17]

Answer:

B. (2, -\frac{5}{2})

Step-by-step explanation:

Given:

(2, 4) and (2, -9)

Required:

Midpoint of the vertical line with the above endpoints

Solution:

Apply the midpoint formula, which is:

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Where,

(2, 4) = (x_1, y_1)

(2, -9) = (x_2, y_2)

Plug in the values into the equation:

M(\frac{2 + 2}{2}, \frac{4 + (-9)}{2})

M(\frac{4}{2}, \frac{-5}{2})

M(2, -\frac{5}{2})

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3 years ago
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Korolek [52]
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6 0
3 years ago
Sophia buys a certain brand of cereal that costs $5 per box. Yani changes to a super-saving brand of the same size. The equation
koban [17]

$ 0.65 more dollars is the price of a box Sophia's original brand of cereal than the price of a box of the super-saving cereal

Amount saved each month with the change in cereal brand if he buys 5 cereal boxes each month is $ 3.25

<em><u>Solution:</u></em>

Given that Sophia buys a certain brand of cereal that costs $5 per box

The equation shows the price, y, as a function of the number of boxes, x, for the new brand:

y = 4.35x

<em><u>Part A:</u></em>

New brand, y = 4.35x where y is the price and x is the number of boxes

Original brand, y = 5x since given that cereal that costs $5 per box

If Sophia old cereal preference was $5, and the equation shows that the new cereal preference is $4.35, if I subtract the amount of the new one from the old,

we get , 5 - 4.35 = 0.65

Therefore, $ 0.65 more dollars is the price of a box Sophia's original brand of cereal than the price of a box of the super-saving cereal

<em><u>Part B:</u></em>

Given that if he buys 5 cereal boxes, let us calculate price for old and new brand

New brand, y = 4.35x

New brand, y = 4.35(5) = 21.75

Original brand, y = 5x = 5(5) = 25

Amount saved = $ 25 - $ 21.75 = $ 3.25

Thus amount saved each month with the change in cereal brand if he buys 5 cereal boxes each month is $ 3.25

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There would be 1,972 seats remaining 
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