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RSB [31]
3 years ago
11

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact. f(

x) = -16x5 - 7x4 - 6
A. Degree: -16; leading coefficient: 5
B. Degree: 5; leading coefficient: -16
C. Not a polynomial function.
D. Degree: 9; leading coefficient: -16
Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

Step-by-step explanation:

Part of the definition of a polynomial is that the exponents have to be non-negative integers.  In other words, it cannot have a fraction as an exponent or an imaginary number.  Our polynomial has real non-negative exponents, so it is in fact a polynomial.  The degree is found in the highest exponent of the polynomial.  Ours is a 5th degree.  The leading coefficient is the number stuck to the x that has the highest degree.  Therefore, our leading coefficient is -16.  B is your choice.

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Help asap , algebra 1
r-ruslan [8.4K]

Answer: SOMEONE LITERALLY ASKED ME THIS YESTERDAY. Also, the answer is t-3<26

Step-by-step explanation:

Just convert it into numbers.

3 0
2 years ago
Read 2 more answers
The dishwasher Marlin wants costs $720. This week only, the dishwasher is discounted by 25%. Marlin must pay 6% sales tax. Which
Mkey [24]

Answer:

C, both methods save the same amount of money

Step-by-step explanation:

First, we need to calculate what each answer choice will equal.

For A, it asks us to add the sales tax and then take the discount off. So, to find out what the sales tax is equal to, we multiply 720 x 0.06 (because 6% is equal to 0.06).

720 x 0.06 = 43.2

Add the sales tax to the original amount and you get 763.2.

Now we take the discount, which is 25% or 1/4.

1/4 of 763.2 is 190.8.

Subtract the discount from the price and you get 572.4.

For B, it says to take the discount first and then add the sales tax.

25% = 1/4, so 1/4 of 720 is equal to 180.

Subtract 180 from 720, and you get 540.

Now add the sales tax.

540 x 0.06 = 32.4.

540 + 32.4 = 572.4.

The answer is C, both methods save the same amount of money!

7 0
2 years ago
Insect Weights Consider a dataset giving the adult weight of species of insects. Most species of insects weigh less than 5 grams
Ann [662]

Answer:

Step-by-step explanation:

71 grams would definitely be an outlier on the high side, whereas "most" species would weigh much less.  Thus, the graph of this distribution of weights would be skewed towards the lower side, that is, to the left.

8 0
3 years ago
What is the tangent of an equal to
elena-s [515]
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .
3 0
3 years ago
The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners ear
earnstyle [38]

Answer:

<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>

Step-by-step explanation:

The Empirical Rule (68-95-99.7%)-

According to this around 95% of the data will fall within two standard deviations of the mean.

As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.

As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.

i.e 2\sigma=18000-10000=8000

\Rightarrow \sigma = 4000

We know that,

Z=\dfrac{X-\mu}{\sigma}

where,

X = raw score = 14,000

μ = 10,000

σ = 4,000

Putting the values,

Z=\dfrac{14000-10000}{4000}=\dfrac{4000}{4000}=1

Now, calculating the value from the z score table,

P(1)=0.8413=84.13\%

As the probability at z=1 is the area below that, so 84% of the wage earners earn less than $14,000 each.

6 0
3 years ago
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