How do you find a key in a stem and leaf plot show example

For the polynomial 6xy2 – 5x2y? + 9x2 to be a trinomial with a degree of 3 after it has been fully simplified, the missing expon

Karolina [17]

Consider the polynomial $6xy^2-5x^2y^?+9x^2$ .

For this polynomial to be trinomial with a degree of 3. We have to identify the missing exponent of the 'y' term.

Let the missing exponent of the 'y' term be 0

So, the polynomial will be $6xy^2-5x^2y^0+9x^2$

= $6xy^2-5x^2+9x^2$

= $6xy^2+4x^2$ which is not a trinomial, which is a binomial.

So, the missing exponent of 'y' can'not be zero.

Let the missing exponent of the 'y' term be 2

So, the polynomial will be $6xy^2-5x^2y^2+9x^2$

= $6xy^2-5x^2y^2+9x^2$

= $6xy^2-5x^2y^2+9x^2$ which is a trinomial of degree 4.

So, the missing exponent of 'y' can'not be '2'.

If we will take the missing exponent of 'y' more than 2, than the degree of the given polynomial will not be 3 anymore.

Let the missing exponent of the 'y' term be 1

So, the polynomial will be $6xy^2-5x^2y^1+9x^2$

= $6xy^2-5x^2y+9x^2$

= $6xy^2+4x^2$ which is a trinomial of degree 3

So, the missing exponent of 'y' is 1.

7 0

4 years ago

Read 2 more answers

A cell phone that regular costs $780 is on sale for 15% off. What is the total cost of the phone if you have to pay 5.5% sales t

Alex_Xolod [135]

Answer:

$700

Step-by-step explanation:

Step one:

Given data

Regular cost of cell phone= $780

discount = 15%

tax = 5.5%

Step two

Let us compute the discounted amount

= 15/100*780

=0.15*780

=$117

hence the selling price is

=780-117

=$663

Also, the tax-deductible is

=5.5/100*663

=0.055*663

=$36.465

The total cost of the phone will be

=663+36.465

=699.465

=$700 to the nearest cent

8 0

3 years ago

A company makes auto batteries. They claim that of their LL70 batteries are good for months or longer. Assume that this claim is

Katen [24]

Answer:

The probability that the sample proportion is within 0.03 of the population proportion is 0.468.

Step-by-step explanation:

The complete question is:

A company makes auto batteries. They claim that 84% of their LL70 batteries are good for 70 months or longer. Assume that this claim is true. Let p^ be the proportion in a random sample of 60 such batteries that are good for 70 months or more. What is the probability that this sample proportion is within 0.03 of the population proportion? Round your answer to two decimal places.

Solution:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p\\$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The information provided is:

$p=0.84\\n=60$

As the sample size is large, i.e. n = 60 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion of LL70 batteries that are good for 70 months or longer.

Compute the probability that the sample proportion is within 0.03 of the population proportion as follows:

$P(-0.03$

Thus, the probability that the sample proportion is within 0.03 of the population proportion is 0.468.

8 0

3 years ago

What is the solution to the system graphed below?

IceJOKER [234]

Answer:

(-4,-1)

Step-by-step explanation:

If I am reading this question correctly, to find a solution to a graph you find the ordered pair of where the two lines intersect.

these two lines intersect at, (-4, -1)

4 0

3 years ago

5 = 4a - 7 3 - 8c = 35 -1/2x -7 = -11 Solve this please.

Hitman42 [59]

Answer:

a=3, c=-4, x=8

Step-by-step explanation:

5=4a-7

4a-7=5

4a=5+7

=12

a=12÷4

=3

3-8c=35

-8c=35-3

=32

c=-32÷8

=-4

-1/2x-7=-11

-1/2x=-11+7

=-4

x=4÷1/2

=4/1×2/1

=8

3 0

3 years ago