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4 years ago

According to the fundamental theorem of algebra, how many zeros does the polynomial below have?

Mathematics

2 answers:

Tom [10]4 years ago

8 0

Answer:According to Apex the answer is 5

cestrela7 [59]4 years ago

4 0

Answer: The required number of zeroes of the given polynomial f(x) is 5.

Step-by-step explanation: We are given to find the number of zeroes of the following polynomial according to the fundamental theorem of algebra.

$f(x)=x^5-12x^3+7x-5.$

<u><em>Fundamental theorem of algebra:</em></u> According to this theorem, a polynomial with degree n has n zeroes.

Now, the degree of the given polynomial is 5, since the highest power of the unknown variable is 5.

Therefore, according to fundamental theorem of algebra, the number of zeroes of the given polynomial f(x) is 5.

Thus, the required number of zeroes is 5.

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6 tens + __ tens = 1 hundred

hammer [34]

40 tens is the correct answer

4 0

4 years ago

Read 2 more answers

PLEASE HELP ME OUT LOOK AT THE IMAGE BELOW

Lelu [443]

Answer:

Let me know if you want more explanation

Step-by-step explanation:

Alright, to solve for x we need 2 angles that are congruent or equal.

I'm going to use the two we will need later. KLN and MNL

Now to find x ^^

$2x-18=x+6\\2x-18-x=x+6-x\\x-18=6\\x-18+18=6+18\\x=24$

Now we just need to plug it into each angle. I'm going to show you them separately.

$KLN=2x-18\\KLN=2(24)-18\\KLN=48-18\\KLN=30$

$MNL=4x-6\\MNL=4(24)+6\\MNL=102$

should be right now.

3 0

3 years ago

I'm giving brainliest to the most helpful answer. For 50 points:

Alenkinab [10]

Answer:

1) $\displaystyle\frac{5}{18}\approx27.78\%$

2) $\displaystyle\frac{4}{7}\approx57.14\%$

3) $\displaystyle \frac{13}{16}=81.25\%$

Step-by-step explanation:

We are given a two-way frequency table. Using the table, we will determine the probability for each case.

Question 1)

P(A Student With A Part Time Job Without A Car)

Using the first column, the total number of students that have a part time job is 78+30=108.

Likewise, using the first column, we can see that out of those 108 students, 30 do not have a car.

Hence, the probability that a student with a part time job without a car is:

$\displaystyle P=\frac{30}{108}=\frac{5}{18}\approx27.78\%$

Question 2)

P(No Car | Does Not Have A Part Time Job)

Remember that the vertical line means conditional probability.

So, we want the probability of a student having no car given that they do not have a part time job.

Using the second column, we can see that the total number of students that do not have a part time job is 18+24=42.

Likewise, using the second column, 24 do not have a car.

Hence, the probability that a student with a part time job without a car is:

$\displaystyle P=\frac{24}{42}=\frac{4}{7}\approx57.14\%$

Question 3)

P(Part Time Job | Car)

So, we want to probability of a student having a part time job given that they have a car.

Using the first row, the total students that have a car is 78+18=96.

And of those 96 students, 78 have a part time job.

Hence, the probability that a student with a car has a part time job is given by:

$\displaystyle P=\frac{78}{96}=\frac{13}{16}=81.25\%$

4 0

3 years ago

What is the finance charge on $13,300 financed at 7.9 percent for 4 years if the monthly payment per $100 is $2.44?

luda_lava [24]

If you borrowed $100, then your monthly payment is $2.44

If you borrowed $200, then your monthly payment is 2*2.44 = 4.88

etc etc

We can set up a proportion

2.44/100 = x/13300

to figure out the monthly payment x. Cross multiply and solve for x

2.44*13300 = 100*x

100x = 2.44*13300

100x = 32452

x = 32452/100

x = 324.52

So the monthly payment is $324.52

An alternative way to get this monthly payment is to apply 2.44% to 13300, which is another way to view the phrase "monthly payment per $100 is 2.44"

------------------

There are 48 months in 4 years (start with 12 mon = 1 yr, then multiply both sides by 4) so we multiply 48 by the monthly payment to get the result 48*324.52 = 15,576.96. This is the total amount you have to pay back which is the principal plus interest.

Subtract off the principal (amount borrowed) to find the interest or finance charge: 15,576.96 - 13,300 = 2,276.96

Answer: Choice B

5 0

4 years ago

BRANLIEST+15Pts Need help! In each of the following graphs, the two given polygons are similar. Write precisely a single dilatio

dolphi86 [110]

Answer:

With a center of (2, -2) the dilation coefficient is 3

Lt me know if I can explain any part more to help you understand.

Step-by-step explanation:

To get the coefficient we want to see where the points start and where they end up. it is difficult to tell the exact point of E and G and their transformations, so we will only use H and F and their transformations. We do need 2 to get the center.

From now on I will only be oooking at y values since we know the center x value.

We know the center has to be between 0 and - 3 because it has to be inside of both shapes.

we also know that the distance from the center point to H is c - 0 and F is c - (-3).

then we also know the same number is multiplying these distances to get the new coordinates, 4 and -5 rspectively. or more accurtely, the distance is being multiplied by the same number.

This allows us to form some proportions. namely (c-0)/(c-4) = (c+3)/(c+5) Solving for c, which is easier than it looks like it might be, gets us c = -2, which is the y coordiante of the center point.

So the center point is (2, -2)

Now finding the dilation coefficient is pretty simple. How much is each original point multiplied y to get the new point. To get this there are a few ways. I am just going to calculate what gets us from one distance to the other. One distance is 2 to 6 and the other is 1 to 3. So the answer is 3.

So with a center of (2, -2) the dilation coefficient is 3

4 0

3 years ago