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AysviL
10 days ago
6

Which equation is represented by the graph below?

Mathematics
2 answers:
Zina [3.9K]10 days ago
6 0

Answer: The third choice.

Step-by-step explanation:

Notice that the graph approaches zero as x, while "y" increases indefinitely when x>0.

The function y=lnx is not valid for any "x" values below zero, hence options 1 and 2 do not correspond to the provided graph.

The function intersects the y-axis at y=1, whereas the function y=e^x+1 intersects at y=2, indicating the last option's equation does not match that graph.

Ultimately, the equation that aligns with the graph is:

y=e^x

Svet_ta [4.3K]10 days ago
3 0

In this scenario, options A and B are not viable since, by definition, the graph does not align with the characteristics of the Neperian logarithm function.

We evaluated option C:

y = e ^ x

Carrying out x = 0 results in:

y = e ^ 0

Any number raised to the power of zero equals 1.

Thus, we conclude:

y = 1

We identify the point (0,1)

Examining option D yields:

y = e ^ x + 1

Setting x = 0 gives us:

y = e ^ 0 + 1\\y = 1 + 1\\y = 2

The point (0,2) is produced.

Consequently, option C is determined to be the correct choice.

Answer:

Option C

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Zina [3914]

Answer:

The price per kilogram of salami amounts to = $9.1

Step-by-step explanation:

Given:

Hailey spent $13 on 1\frac{3}{7} kg of sliced salami.

We need to determine the cost per kg of the salami.

Solution:

We will use the unitary method to find the cost for one kilogram of salami.

If 1\frac{3}{7} kg of salami costs $13

Then the cost for 1 kg of salami in dollars = 13\div 1\frac{3}{7}

When dividing mixed numbers, we convert them to fractions.

⇒ 13\div \frac{(7\times1)+3}{7}

⇒ 13\div \frac{10}{7}

To divide fractions, we take the reciprocal of the divisor and multiply.

⇒ 13\times \frac{7}{10}

⇒ \frac{13\times7}{10}

⇒ \frac{91}{10}

⇒ 9.1

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11 days ago
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What is the maximum number of times two planes can intersect? What is the minimum number of times they can intersect?
Inessa [3907]
The least number of times that two planes can cross is zero, since parallel planes do not intersect. A good example would be a floor and a ceiling, which run parallel, hence they do not meet. Conversely, if two planes occupy the same space, they can intersect at infinitely many points, as could happen with a line within that plane.
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13 days ago
for the level 3 course, examination hours cost twice as much as workshop hours and workshop hours cost twice as much as lecture
Leona [4166]

Answer:

The hourly rate for lectures is $7.33

Step-by-step explanation:

* Let's break down how to tackle the problem.

- For the level 3 course, examination hours are priced at double that of workshop hours.

- Workshop hours cost twice the rate of lecture hours.

- The total includes examination, workshop, and lecture hours.

- Examination lasts 3 hours, workshops 24 hours, and lectures 12 hours.

* Let’s denote the cost of lecture hours as $x per hour.

∴ The lectures cost $x per hour.

∵ Workshop charge is twice that of lectures

∴ Workshop hours cost 2(x) = 2x per hour.

∵ Examination fees are double that of workshop hours

∵ The workshop cost is 2x

∴ Examination fees are 2(2x) = 4x per hour.

- Combining costs for level 3 gives us the total of lecture, workshop, and examination hours.

∵ 12 hours for lectures

∵ 24 hours for workshops

∵ 3 hours for examinations

∵ Thus the total cost for level 3 = 12(x) + 24(2x) + 3(4x).

∴ Total cost for level 3 = 12x + 48x + 12x.

∵ Therefore, total cost = $528.

∴ 12x + 48x + 12x = 528.

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6 0
11 days ago
Thomas invested $8,500 for one year. Part of the money was invested at6% and the rest at 9%. The total interest earned was $667.
Zina [3914]
Let x represent the amount invested at 6% and y the amount at 9%.
The equation x+y=8,500 leads to x=8500-y.
For the interest rates, we know 6%=0.06 and 9%=0.09.
The equation becomes 0.06x + 0.09y=667.5 (substituting for x to use only y).
Expanding yields: 0.06(8500-y)+0.09y=667.5.
Solving this gives us 510-0.06y+0.09y=667.5 (-510).
This simplifies to 0.03y=117.5 (/0.03), yielding y=$3916.67 for the 9% investment.
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1 day ago
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babunello [3635]

Answer:

n = 3

XY = 39

XZ = 39

Step-by-step explanation:

Given

XY = 9n + 12

XZ = 15n - 6

Solving for (a): n

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XY = 39

Solving for (c): XZ

XZ = XY

XZ = 39

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6 days ago
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