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13 days ago

Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.

Mathematics

2 answers:

lawyer [4K]12 days ago

5 0

Some polynomial equations feature complex solutions.

As a result, graphing the associated function in the Cartesian (x-y) plane won't reveal these complex solutions.

Polynomial functions that only have complex solutions lack x-intercepts, meaning the corresponding equation will not have intersections.

lawyer [4K]13 days ago

4 0

To illustrate, plotting several points that do not intersect the x-axis and connecting them with a curve does not guarantee accurate x-intercepts. To ensure precision in identifying x-intercepts, one must set the quadratic equation to zero and solve it. Simply put, relying on visual approximations via a graphing calculator may not yield exact results.

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Disney held a breakfast for parents and their children to eat with Mickey and Minnie Mouse (and the rest of the gang, too!) Adul

Svet_ta [4321]

I trust this information is useful to you.

Let a represent the number of adults.

Then, the number of children will be 500-a.

From here, we set up the equation: 17.95×a + 12.95×(500-a) = 7355.

This simplifies to 17.95a + 6475 - 12.95a = 7355.

Which results in 5a = 880.

Thus, a = 176.

3 0

9 days ago

Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 kg1, start fraction, 3, divided by, 7, end fraction, start

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.

⇒ $13\times \frac{7}{10}$

⇒ $\frac{13\times7}{10}$

⇒ $\frac{91}{10}$

⇒ $9.1$

Hence, the cost per kilogram of salami is = $9.1

3 0

11 days ago

Read 2 more answers

Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un

AnnZ [3877]

Answer: 0.1289

Step-by-step explanation:

Given: The proportion of students absent on Mondays at a large university.: $p=0.15$

Sample size: $n=12$

Mean: $\mu=np=12\times0.15=1.8$

Standard deviation = $\sigma=\sqrt{np(1-p)}$

$\Rightarrow\ \sigma=\sqrt{12(0.15)(1-0.15)}=1.23693168769\approx1.2369$

Let x represent a binomial variable.

Referencing the standard normal distribution table,

$P(x=4)=P(x\leq4)-P(x\leq3)$ (1)

Z score for normal distribution:-

$z=\dfrac{x-\mu}{\sigma}$

For x=4

$z=\dfrac{4-1.8}{1.2369}\approx1.78$

For x=3

$z=\dfrac{3-1.8}{1.2369}\approx0.97$

Thus, from (1)

$P(x=4)=P(z\leq1.78)-P(z\leq0.97)\\\\=0.962462-0.8339768\approx0.1289$

Consequently, the likelihood of four students being absent = $0.1289$

3 0

16 hours ago

Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates

Leona [4166]

Answer:

Option C is the right choice.

Step-by-step explanation:

The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.

We know that rectangles possess four right angles.

To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.

In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem $\sqrt(a^{2}+b^{2})=KM$

In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem $\sqrt(a^{2}+b^{2})=JL$

Thus, we find that $\sqrt(a^{2}+b^{2})=KM=LM$ and option C is the correct choice.

7 0

4 days ago

Read 2 more answers

Sabas dance class is 3 miles from her home. Her music class is 12 miles from her home. Write an equation that shows the number o

Zina [3914]

Answer:

3x = 12

x = 4

Step-by-step explanation:

The equation indicates that the distance to the dance class is three times that to her home, and when multiplied by "x", it reveals how much farther 3 is from 12. Consequently, if you evaluate the expression, the distance to the dance class is four times greater than that to her music class.

5 0

12 days ago