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3 years ago

Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,

Mathematics

1 answer:

Stolb23 [73]3 years ago

8 0

I am going to assume that the equation was supposed to be $9y^{5}$ $-10y^{3}$

Answer:

It is a polynomial. It is a binomial and it has a degree of 5.

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so $9y^{5}$ $-10y^{3}$ will be considered a polynomial.

A binomial is a polynomial with 2 terms.

The degree of a polynomial is the highest exponent in it which in this equation is 5.

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Jason cycled for 3 hours. He cycled 7 1/2 miles each hour for the first two hours and the distance he cycled for the third hour

suter [353]

Answer:

Total distance Jason cycled = 20 miles

Step-by-step explanation:

Distance covered in first 2 hours = 2( 7.5)

=15

Distance covered in the 3rd hour = 15/3

= 5

Dividing by 3 because the distance covered in the 3rd hour is 1/4 of the distance covered in first two hours. By dividing by 3 we will get 1/4 of the distance

Total Distance = Distance covered in first two hours

+ Distance covered in the 3rd hour

=15 + 5

Total Distance = 20

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

Jane has a 5 × 7-inch photograph that she wants enlarged to a 10 × 14-inch photograph. What is the scale factor from the origina

Vladimir79 [104]

I think that the answer is 2, because if you multiply two by each factor in the original photograph then you get the size of the new photograph.

5 0

3 years ago

Read 2 more answers

Can someone help me ASAP!!! Please!!!!

g100num [7]

Answer:

step 1. Angle bisector theorem.

step 2. 14/6 = 21/ (3x - 12)

step 3. 14(3x - 12) =21(6)

step 4. 6x - 24 = 18

step 5. 6x = 42

step 6. x = 7.

7 0

3 years ago

Which of these values of x is NOT a solution of the equation tanx= 1?

Kobotan [32]

The tangent ratio is an illustration of the trigonometry identity

The value of x that is not a solution of tan(x) = 1 is 3 $\pi$ /4

<h3>How to determine the value that is not a solution</h3>

The trigonometry identity is given as:

tan(x) = 1

Next, we test the x values using a calculator.

When $x = -7\pi/4$ , we have:

tan(-7 $\pi$ /4) = 1

When x = 3 $\pi$ /4, we have:

tan(3 $\pi$ /4) = -1

When x = 5 $\pi$ /4, we have:

tan(5 $\pi$ /4) = 1

When x = $\pi$ /4, we have:

tan( $\pi$ /4) = 1

Hence, the value of x that is not a solution of tan(x) = 1 is 3 $\pi$ /4

Read more about trigonometry identity at:

brainly.com/question/7331447

5 0

3 years ago