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3 years ago

Graph the function. y = 1/5 (3)^x Graph A. B. C. or D?

Mathematics

1 answer:

patriot [66]3 years ago

8 0

The function $y=3^x$ is incresing and have positive values for all x. Then the function $y=\dfrac{1}{5}\cdot 3^x$ is also increasing and have positive values for all x. This means that options B (values are negative) and D (function is decreasing) are incorrect.

At x=0, $y=\dfrac{1}{5} \cdot 3^x=\dfrac{1}{5} \cdot 3^0=\dfrac{1}{5} \cdot 1=\dfrac{1}{5}$ .

In option A graph of the function passes through point (0,y), where y is near 3. In option C graph of the function passes through point (0,y), where y is near 1/5. So, you can conclude that the option C is correct.

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Solve for k 4k - 6 1 3k - 9 = 3

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Add nine to both sides then divide by 3 and K=4

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3 years ago

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A bookstore can purchase several calculators for a total cost of $120. If each calculators cost $1 less, the bookstore could pur

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$x-number\ of\ calculators\ sold\ in\ regular\ price\\\\
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8 0

4 years ago

Can somebody pls help me!! :(( it’s due today

Lemur [1.5K]

Answer: $4110.8 (more likely - 95% sure) or $2,107 (less likely)

Step-by-step explanation: It could be $4110.8 because you have the take the total they made and subtract is from the cost of the toys ($7,230-$2,450=$4,780). Then you have to take the result of that and get 14% of it, then subtract that from the $4,780 amount. Then you get the final answer which is $4110.8.

However, it could also be $2,107 because the question itsn't that clear in the second sentence. It could be saying that $2,450 is the price of the toys (which is what I assumed above), or that it is the profit that the $2,450 (which I used below). I think that the above answer is more likely because if not then the first number would never be used. Anyways here is the second way it could be.

Step-by-step explanation: It could be $2,107 because you take the profit ($2,450) and get 14% of it, then subtract that from the $2,450 amount. Then you get the final answer which is $2,107.

If I was you, I would do the first one ($4110.8) because I really think it is that one. I just put the other one here just in case.

6 0

3 years ago

4. Emily bought 3 shirts for $12.50 each and a pair of shorts for $20. She had a coupon for $3 off

IgorC [24]

Answer: $57.77

Step-by-step explanation:

3 x 12.50 = 37.5 + 20 = 57.5

57.5- 3 = 54.5

54.5 x .06 = 3.27

54.5 + 3.27 = $57.77 is the answer

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3 years ago

The center of a hyperbola is (−2,4) , and one vertex is (−2,7) . The slope of one of the asymptotes is 1/2 .

Lunna [17]

The equation of the hyperbola in standard form is (y^2 / 49) - (x^2 / 4) = 1.

Step-by-step explanation:

Hyperbola is a section of the cone formed by intersecting a right circular cone with a plane at an angle where both halves of the cone are intersected.
The vertex and the center of the hyperbola are present both on the same line x = -2. (i.e. on the y-axis), hence the branches of the hyperbola are above and below each other. The slope of the asymptotes is +(or)- a/b.

Here the vertex is 7 units so a = 7 and a^2 = 49.

Slope of the asymptotes = a/b = 1/2.

Here b = 2 and b^2 = 4.

The standard equation of the hyperbola is,

(y^2 / 49) - (x^2 / 4) = 1.

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3 years ago