All categories

1 month ago

Which equation is represented by the graph below?

Mathematics

2 answers:

Zina [12.3K]1 month 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 [12.7K]1 month 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

You might be interested in

Based on daily measurements, Bob's weight has a mean of 200 pounds with a standard deviation of 16 pounds, while Mary's weight h

babunello [11817]

Answer:

Step-by-step explanation:

The coefficient of variation (CV) is calculated using the formula:

$CV = \frac{\sigma}{\mu}$

Where $\sigma$ represents standard deviation and $\mu$ represents the mean.

Bob's average weight is 200 pounds with a standard deviation of 16 pounds

This indicates that $\sigma = 16, \mu = 200$ .

Thus, his coefficient of variation is

$CV = \frac{16}{200} = 0.08$

Mary's average weight is 125 pounds, with a standard deviation of 10 pounds.

This implies $\sigma = 10, \mu = 125$

Therefore, her coefficient of variation is

$CV = \frac{10}{125} = 0.08$

Since both have the same coefficient of variation, the accurate response is.

6 0

1 month ago

"There are 3 teams of 18 employees working today. Company policy says that we need to have 1 supervisor for every 8 employees on

tester [12383]

They require six supervisors.

8 0

2 months ago

Read 2 more answers

. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i

PIT_PIT [12445]

Answer:

Error made by Andrew: He identified incorrect factors based on the roots.

Step-by-step explanation:

The roots of the polynomial consist of: 3, 2 + 2i, 2 - 2i. By the factor theorem, if a is a root of the polynomial P(x), then (x - a) must be a factor of P(x). According to this premise:

(x - 3), (x - (2 + 2i)), (x - (2 - 2i)) represent the factors of the polynomial.

<pBy simplification, we obtain:

(x - 3), (x - 2 - 2i), (x - 2 + 2i) as the respective factors.

This is where Andrew's mistake occurred. Factors should always be in the form (x - a), not (x + a). Andrew expressed the complex factors incorrectly, resulting in an erroneous conclusion.

Thus, the polynomial can be expressed as:

$(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0$

7 0

1 month ago

Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. after c years, calvin has $658.80. makayl

lawyer [12517]

To calculate this, a specific formula will be necessary. Years = log (total/principal) / [n * log (1 + rate / n)]. Part A) For Calvin: $400 at 5% monthly results in $658.80; Time =? Monthly compounding, n = 12. Thus, Years = log(658.80/400) / [12 * log(1+ (.05/12))]. Subsequently, Years = log( 1.647) / (12 * log(1.0041666667)). Then, Years = 0.21669359917 / 12 * 0.0018058008777. Thus resulting in Years = 0.21669359917 / 0.0216696105. Ultimately, Years ≈ 9.999884362. Part B) For Makayla: $300 at 6% quarterly yields $613.04; Time=? Quarterly compounding, n = 4. Therefore, Years = log(613.04/300) / [4 * log (1 +.06/4)]. This results in Years = log(2.0434666667) / (4 * log(1.015)). Years thus equals 0.31036755784 / (4 * 0.0064660422492), resulting in Years ≈ 11.9999044949. The approximate difference is about 3 years.

3 0

17 days ago

Read 2 more answers

Is m=0.75d-2 proportional?

Inessa [12570]

A proportion maintains a consistent ratio m/d

If m = 0.75d, then the m/d ratio translates to (0.75d)/d = 0.75

In this case, the ratio can be expressed as (.75d-2)/d = 0.75 - (2/d).

Thus, it is not proportional.

4 0

1 month ago

Read 2 more answers