What is the end behavior of the graph of the polynomial function f(x)=3x^6+30x^5+75x^4

Answer:

  see below

Step-by-step explanation:

If x represents the number of dimes, then 2x will represent twice the number of dimes. This is the number of quarters, since there are twice as many quarters as dimes.

There are 6 more nickels than dimes, so the number of nickels is 6 more than x. It is (x+6).

If we use the monetary values in cents, then the total of all coins is ...

  25(2x) +10(x) + 5(x+6) = 485 . . . . . . matches choice D

Answer:

b)   a > 4

Step-by-step explanation:

Step(i):-

Given inequality equation

                              2 a + 4 > 12

subtracting ' 4' on both sides , we get

                              2 a + 4 -4 > 12 -4

                               2 a > 8

Step(ii):-

dividing '2' on both sides , we get

                             [tex]\frac{2a}{2} > \frac{8}{4}[/tex]

                             a > 4

Answer:

B

Step-by-step explanation:

Got it right

[tex]12x^{3} - {9x}^{2} + 4x - 3 = \\ = 3 {x}^{2} (4x - 3) + 1(4x - 3) = \\ = (4x - 3)( {3x}^{2} + 1)[/tex]

Answer:4x+15

Step-by-step explanation: PEMDAS. First you multiply 12x3 and 9x2 so you get 36-18. Then you subtract 18 from 36 leaving you with 18. Then you combine 18 and -3, leaving you with 4x-15.

Answer:

Could you please add a photo or the quadratic function?

Answer:

In vertex form, the parabola's equation is y=(x−1)^2 +5.

Step-by-step explanation:

Answer:

The original number is x = 66 .19

Step-by-step explanation:

Let 'x' be the number

Given data a number is decreased by 19% the result is 66

x - 19% = 66

x-0.19 = 66

Adding '0.19' on both sides , we get

x - 0.19 +0.19 = 66 +0.19

x = 66 .19

The original number is x = 66 .19

The original number is 66.19.

Given that,

The number is decreased by 19% the result is 66.

We have to determine,

What is the original number?  

According to the question,

Let, the original number be x,

The number is decreased by 19% the result is 66.

[tex]x - \dfrac{19}{100} = 66\\\\x - 0.19 = 66\\\\x = 66 + 0.19\\\\x = 66.19[/tex]

Hence, The required original number is 66.19.

To know more about Linear inequality click the link given below.

https://brainly.com/question/8138166

Answer:

the answer is 6 1/10

Step-by-step explanation:

Answer:

[tex](a)s^2\\(b)162=2s^2\\(c)s=9$ ft[/tex]

Step-by-step explanation:

(a)Base Area

Side length of square base=s

Area of a Square of side length s=[tex]s^2$ ft^2[/tex]

(b)

Volume of a Pyramid[tex]=\frac{1}{3}X$Base Area X Height[/tex]

Substituting the given values, we have:

[tex]162=\frac{1}{3}Xs^2 X 6\\\\162=2s^2[/tex]

(c)Solving the equation derived from (b)

[tex]162=2s^2\\$Divide both sides by 2\\s^2=81\\s^2=9^2\\s=9$ ft[/tex]

Solving this equation shows that s =9 ft.

Answer: 5%

Step-by-step explanation:

15 / 300 = 0.05

0.05 * 100 = 5%

Answer:

2/9

Step-by-step explanation:

brilliant

9 letters

2 i in the word

Answer:

f(n)=75+(n*3)

Step-by-step explanation:

Answer:

%=-7t

solution -7% per 1:00

Step-by-step explanation:

Hope this helps

Answer:16

Step-by-step explanation: divded it

Answer:

49905 dividido por 81 = 616.11

32256 dividido por 25= 1290.24

58308 dividido por 64= 911.06

9218 dividido por 768= 12.0026.

Answer:

dy/dx = xy^3-xy   =

y = ± √2 = ± 1.4142

x  =  0

y  =  0

Step-by-step explanation:

Step  1  : Simplify y/d

Step  2  :  See below

Step  3  :  See below

Pulling out like terms

Trying to factor as a Difference of Squares

Answer:  

y = ± √2 = ± 1.4142

x  =  0

y  =  0

Hope this helps.

Answer:

x² + 12x + 35

Step-by-step explanation:

The area of the blue section is x * x = x².

Pink: x * 7 = 7x

Green: x * 5 = 5x

Orange: 7 * 5 = 35

When we add these up we get x² + 12x + 35. Hope this helps!

Answer: x2 + 12x + 35

Step-by-step explanation:

Area of a rectangle = l x w

A = (x + 7) (x + 5)

= x2 + 5x + 7x + 35

= x2 + 12x + 35

Answer:

[tex] \frac{8}{11} [/tex]

Step-by-step explanation:

(4+5x-7)+(3-8+6x)=0

(-3+5x)+(-5+6x)=0

-8+11x=0

x=8/11

Answer:

Step-by-step explanation:

Answer:

  The point (0, 25) is not a solution, but the point (-4, 10) is a solution.

Step-by-step explanation:

You can graph the inequality and check. The first point (0, 25) is on the boundary line, but that line is NOT part of the solution set. The second point (-4, 10) is well inside the solution space.

  (0, 25) is not a solution

  (-4, 10) is a solution

_____

You can put the values into the inequality and see if a true statement results.

  -10(0) +(25) > 25 . . . . False

  -10(-4) +(10) > 25 . . . . true

The first point is NOT a solution; the second point IS a solution.

Answer:

please refer tp the photo . It s D. 101 in2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Parallel lines this means they have the same slope -4

The coordinate is (0,0) which means x=0 and y=0

So,

Finding b(y-intercept) for the parallel line

y=mx+b

Where y=0, m=-4 and x=0

0=(-4)(0)+b

0=0+b

So

b=0

So slope intercept form of the parallel line is

y=(-4)x+(0)

y=-4x

Answer:

is there a photo ?

Step-by-step explanation:

Answer:

37 different combinations

Step-by-step explanation:

First of all, we will count the possible combinations that add up to 29.

-Losses only;

One possibility: 29 losses

-Ties & losses;

Nine possibilities: 1 tie and 26 losses; 2 ties and 23 losses; 3 ties and 20 losses;4 ties and 17 losses; 5 ties and 14 losses; 6 ties and 11 losses; 7 ties and 8 losses; 8 ties and 5 losses; 9 ties and 2 losses

-Wins & losses

Five possibilities: 1 win and 24 losses; 2 wins and 19 losses; 3 wins and 14 losses; 4 wins and 9 losses; 5 wins and 4 losses

Now, what we want to find from the question is number of possibilities for wins, ties, and losses all together. So, we will count up the ties and losses in the remainder for each case of a given number of wins.

Thus;

For 0 Wins: 0 ties and 29 losses; 1 tie and 26 losses; 2 ties and 23 losses; 3 ties and 20 losses;4 ties and 17 losses; 5 ties and 14 losses; 6 ties and 11 losses; 7 ties and 8 losses; 8 ties and 5 losses; 9 ties and 2 losses.

Which sums up to 10 possibilities

For 1 win; 0 ties and 24 losses; 1 tie and 21 losses........8 ties and 0 losses.

Which sums up to 9 possibilities

For 2 wins; 0 ties and 19 losses; 1 tie & 16 losses............ 6 ties and 1 loss.

Which sums up to 7 possibilities

For 3 wins; 0 ties and 14 losses; 1 tie and 11 losses ....... 4 ties and 2 losses.

Which sums up to 5 possibilities

For 4 wins; 0 ties & 9 losses; 1 tie and 6 losses....... 3 ties and 0 losses

Which sums up to 4 possibilities

For 5 wins; 0 ties and 4 losses; 1 tie and 1 loss

Which sums up to 2 possibilities

Thus;

Total number of possibilities of combinations of wins, ties and losses = 10 + 9 + 7 + 5 + 4 + 2 = 37

Answer:

Organizations can use one-sample hypothesis test to determine if there are performance issues in many ways.

It can be applied to the performance of a sector, a machine, a product, an advertising campaing, etc.

For example, we can take the example of a machine. It may be claimed that a specific machine performs significantly worse than the average.

This average would be the population mean: the average performance of the machines of the same type or process.

Then, a sample of the performance of the machine in study is taken and the hypothesis test can be performed to test the claim that this machine performs significantly worse.

Step-by-step explanation:

For example, we have an historic performance for this type of machine of 100 units a day. The machine A in study is sampled 14 days and have a performance of 92 units a day, with a sample standard deviation of 12 units/day. We have to test the claim that the machine A makes less units per day than the average.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=100\\\\H_a:\mu< 100[/tex]

The significance level is 0.05.

The sample has a size n=14.

The sample mean is M=92.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{14}}=3.2071[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{92-100}{3.2071}=\dfrac{-8}{3.2071}=-2.4944[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=14-1=13[/tex]

This test is a left-tailed test, with 13 degrees of freedom and t=-2.4944, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=P(t<-2.4944)=0.0134[/tex]

As the P-value (0.0134) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that machine A produces significantly less units per day than the average.

Answer:

.............gcg................

B. (x-3)2+(y-3)2=16

Equation of circle is

(x-a)2+(y-b)2=r2

Answer:

a) (17.227, 22.773)

b) 2.773

c) 2.773

Step-by-step explanation:

Given:

Sample size, n = 25

Standard deviation, s = 4

Sample mean, x' = 20

Level of significance, a = 0.98 = 1 - 0.98 = 0.02

The degrees of freedom, df, for a t-distribution = n - 1 = 25 - 1 = 24

Using the t table, the Critical value = [tex] t_\alpha _/_2, _d_f = t_0_._0_2_/_2, _2_4 = t_0_._0_1_, _2_4 = 3.4668 [/tex]

Margin of error, E = [tex] t_\alpha _/_2, _d_f * \frac{\sigma}{\sqrt{n}} = 3.4668 * \frac{4}{\sqrt{25}} = 2.773 [/tex]

Limits of 98% confidence interval, we have:

Lower limit : x' - M.E = 20 - 2.773 = 17.227

Upper limit: x' + M.E = 20 + 2.773 = 22.773

Therefore, (17.227, 22.773) is 98% confidence interval.

b) Let's the margin of error by taking half the length of the confidence interval.

Since we are to use half the length of CI, we have:

[tex] M.E = \frac{22.773 - 17.227}{2} = 2.773 [/tex]

c)[tex] M.E = t_\alpha _/_2, _d_f *s/\sqrt{n} [/tex]

[tex] = t * \frac{s}{\sqrt{n}} = 3.4668 * \frac{4}{\sqrt{25}} = 2.773 [/tex]

Answer:

  no

Step-by-step explanation:

If you draw a line from the right end of the top base to the bottom base, parallel to the left side, you cut off a right triangle that has a bottom leg of 12 and two unknown sides (height, and slant length).

All you can say is that the unknown slant length is more than 12 units.

If you know the height, you can find the slant length (hypotenuse) using the Pythagorean theorem.

Answer:

Step-by-step explanation:

An equation is true when certain values are able to be substituted for the variable which is most of the time "x", the values that make an equation true is when the answer has a solution.

Step-by-step explanation:

Each roll has 6 possible outcomes, so two rolls have 36 possible sums.  We can make a table showing what these sums are:

[tex]\left[\begin{array}{ccccccc}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}\\\textbf{1}&2&3&4&5&6&7\\\textbf{2}&3&4&5&6&7&8\\\textbf{3}&4&5&6&7&8&9\\\textbf{4}&5&6&7&8&9&10\\\textbf{5}&6&7&8&9&10&11\\\textbf{6}&7&8&9&10&11&12\end{array}\right][/tex]

Of the 36 sums, 10 are greater than 8, and 18 are odd.

P(A) = 10/36 = 5/18

P(B) = 18/36 = 1/2

Answer:

  79.78125

Step-by-step explanation:

The average rate of change (m) on an interval [a, b] is found as ...

  m = (g(b) -g(a))/(b -a)

Here, that is ...

  m = (g(4) -g(-2))/(4 -(-2))

  g(-2) = 2(-2)^4 +7/(-2)^2 = 32+7/4 = 33.75

  g(4) = 2(4^4) +7/(4^2) = 512 +7/16 = 512.4375

Then ...

  m = (512.4375 -33.75)/6 = 478.6875/6 = 79.78125

The average rate of change of g(x) on [-2, 4] is 79.78125.

_____

The attached graph verifies the calculation and shows the line with that slope goes through the endpoints of the interval.

Answer:

0.00138

Step-by-step explanation: