Please help! I got 14 but it says it's incorrect! Find the maximum number of real zeros of the polynomial. f(x)=2x^(6)-3x^(3)+1-2x^(5)

Answer:

n = 13

Step-by-step explanation:

24 = 3 (n-5)

3n  - 15 = 24

3n = 24 +15

3n = 39

n = 39/3

n = 13

Answer:

[tex]\boxed{\sf n=13}[/tex]

Step-by-step explanation:

[tex]\sf 24=3(n-5)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]\sf 24=3n-15[/tex]

[tex]\sf Add \ 15 \ to \ both \ sides.[/tex]

[tex]\sf 24+15=3n-15+15[/tex]

[tex]\sf 39=3n[/tex]

[tex]\sf Divide \ both \ sides \ by \ 3.[/tex]

[tex]\sf \frac{39}{3} =\frac{3n}{3}[/tex]

[tex]\sf 13=n[/tex]

Answer:

I think the answer is B, tell me if it is wrong.

Answer:

B. (1,7)

Step-by-step explanation:

We can substitute the x and y values of each coordinate into the inequality and test if they work.

Let's start with A, 5 being y and 0 being x .

[tex]5 > |0|+5\\5> 0+5\\5 > 5[/tex]

5 IS NOT greater than 5, they are the exact same, so A is out.

Let's try B, 1 being x and 7 being y.

[tex]7 > |1| + 5\\7 > 1 + 5\\7 > 6[/tex]

7 IS greater than 6, so B. (1,7) does work for this inequality!

Let's do C for fun, when 7 is x and 1 is y.

[tex]1 > |7| + 5\\1>7+5\\1>12[/tex]

1 IS NOT greater than 12, it is quite less than 12, so C doesn't work.

Therefore B. (1,7) works for the inequality of [tex]y > |x|+5[/tex].

Hope this helped!

Answer:

Weak negative correlation

Step-by-step explanation:

The scatter plot shown in the graph above indicates a negative correlation between the x-variables and the y-variables, because, as the variables on the x-axis increases, the variables on the y-axis decreases.

Also, the if we are to draw a line of best fit to connect some of the data points on a straight line, we would see that a number of the data points would be far apart from each other away from the line. The data points are not much clustered around the line of best fit, therefore, this shows that the negative correlation between the variables is a weak one.

The data represented on the scatter plot show a weak negative correlation.

Answer:

hello your question has some missing parts here is the complete question

A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing tail and then rolling a number greater than 6. The probability of tossing a tail and then rolling a number greater than 6 is? Round to three decimal places as needed

Answer : 0.5,   0.25,  0.125

Step-by-step explanation:

A coin when tossed has only two outcomes which are ( Head or tail )

a)Therefore the probability of tossing a tail = 1/2 = 0.5

A die having eight sides when tossed will have 8 outcomes

B) Therefore the probability of rolling a number greater than 6

p( x > 6) = p(7) + p(8) = 1/8 + 1/8 = 0.25

C) The probability of tossing a tail and then rolling a number greater than 6 is

= p( x > 6 ) * p( tail )

= 0.25 * 0.5 = 0.125

Answer:

  c is either 25.4 or 1.1

Step-by-step explanation:

The Law of Sines is used to find sides and angles when you have a side and its opposite angle. Since the given angle is not opposite the longest given side, there are two possible solutions.

a) sin(B)/b = sin(A)/a

  sin(B) = (b/a)sin(A) = 14/13·sin(19°) ≈ 0.350612

  B = arcsin(0.350612)   or   180° -arcsin(0.350612)

  B = 20.525°   or   159.475°

Then angle C is ...

  C = 180° -A -B = 161° -B = 140.475°   or   1.525°

__

Side c can be found from ...

  c = sin(C)·a/sin(A)

For C = 140.475°, ...

  c = sin(140.475°)·39.9302 ≈ 25.4

For C = 1.525°, ...

  c = sin(1.525°)·39.9302 ≈ 1.1

The length of side c could be 25.4 or 1.1.

Answer:

Step-by-step explanation:

[tex]A=\pi r^2\\Area = 36\pi\\r = ?\\36\pi = \pi r^2\\Divide \:both \:sides \:of\: the \:equation\: by\: \pi\\\frac{36\pi}{\pi} = \frac{\pi r^2}{\pi} \\r^2 = 36\\Find\: the\: square\: root\: of\: both\: sides\: \\\sqrt{r^2} =\sqrt{36} \\\\r = 6\: feet\\[/tex]

Answer:

the answer is (-4,-18)

Answer:

The vertex is at (-4, -18).

Step-by-step explanation:

f(x) = x^2 + 8x - 2

Covert to vertex form:

f(x) = (x + 4)^2 - 16 - 2

f(x) = (x + 4)^2 - 18.

So the

vertex is (-4,18

Answer:

ln(60)

Step-by-step explanation:

We have the equation [tex]5e^x=300[/tex]. We can divide both sides of the equation by 5, getting [tex]e^x=60[/tex]. Finally, we can take the natural log of both sides, getting that x is equal to [tex]\ln(60)[/tex].

Answer:

The greatest possible value of [tex]y^3=216[/tex]

Step-by-step explanation:

We have the statement [tex]y^2=36[/tex], and we have to find the greatest possible value of [tex]y^3[/tex], first we need to find the value of y.

[tex]y^2=36[/tex], to get the y by itself on the left side, we need to take the square root of both sides. [tex]\sqrt{y^2} =\sqrt{36}[/tex] The square root of [tex]y^2[/tex] is y, because y*y = [tex]y^2[/tex], and the square root of 36 is 6 or -6.

We now need to find the greatest value of [tex]y^3[/tex]. When we plug in 6 to [tex]y^3[/tex], we get positive 216, and when we plug in -6, we get -216. We need to find the greatest possible value, so in this case we compare 216 and -216, 216 is greater than -216, so the answer would be positive 216.

Answer:

216

Step-by-step explanation:

If y² = 36, then y is 6 or -6. When y = 6, we have y³ = 6³ = 216. When y = -6, we have y³ = (-6)³ = -216. The greatest possible value of y³ is 216.

Answer:

A

Step-by-step explanation:

Looks like the function on the right hand side is

[tex]f(t)=\begin{cases}1&\text{for }t<4\\-1&\text{for }t\ge4\end{cases}[/tex]

We can write it in terms of the Heaviside function,

[tex]h(t-a)=\begin{cases}1&\text{for }t\ge a\\0&\text{for }t>a\end{cases}[/tex]

as

[tex]f(t)=h(t)-2h(t-4)[/tex]

Now for the ODE: take the Laplace transform of both sides:

[tex]y'(t)+y(t)=f(t)[/tex]

[tex]\implies s Y(s)-y(0)+Y(s)=\dfrac{1-2e^{-4s}}s[/tex]

Solve for Y(s), then take the inverse transform to solve for y(t):

[tex](s+1)Y(s)=\dfrac{1-e^{-4s}}s[/tex]

[tex]Y(s)=\dfrac{1-e^{-4s}}{s(s+1)}[/tex]

[tex]Y(s)=(1-e^{-4s})\left(\dfrac1s-\dfrac1{s+1}\right)[/tex]

[tex]Y(s)=\dfrac1s-\dfrac{e^{-4s}}s-\dfrac1{s+1}+\dfrac{e^{-4s}}{s+1}[/tex]

[tex]\implies y(t)=1-h(t-4)-e^{-t}+e^{-(t-4)}h(t-4)[/tex]

[tex]\boxed{y(t)=1-e^{-t}-h(t-4)(1-e^{-(t-4)})}[/tex]

Answer:

[tex]-5<x<26[/tex].

Step-by-step explanation:

We know that if two corresponding sides of two triangles are equal, then third sides of the triangles depend on angle between equal sides.

Angle opposite to larger side is larger.

Since, 14 < 15, therefore

[tex]2x+10<62[/tex]

[tex]2x<62-10[/tex]

[tex]2x<52[/tex]

[tex]x<26[/tex]          ...(1)

We know that, angle can not not negative.

[tex]2x+10>0[/tex]

[tex]2x>-10[/tex]

[tex]x>-5[/tex]        ...(2)

From (1) and (2), we get

[tex]-5<x<26[/tex]

Therefore, the range of values of x is [tex]-5<x<26[/tex].

Answer:

6 different isosceles triangles.

Step-by-step explanation:

This is a AMC 8 2005 question. (You can search up their solution)

There are 6 triangles:

6, 6, 11

7, 7, 9

8, 8, 7

9, 9, 5

10, 10, 3

11, 11, 1

There are only 6 because if there was an isosceles triangle with side lengths such as 5, 5, 13 the triangle would be impossible since the two smaller side lengths must sum up to be greater than the longest side length.

The number of isosceles triangles has integer side lengths and a perimeter of 23 is 6.

In an isosceles triangle, two sides and angles are equal. The sum of the angle of the triangle is 180 degrees.

Given

Isosceles triangles have integer side lengths and a perimeter of 23.

Let x be the isosceles side and y be the other side. Then

[tex]\rm 2x + y = 23[/tex] ...1

And we know that the sum of the two sides of the triangle must be greater than the third side. Then

[tex]\rm 2x >y[/tex] ...2

From equations 1 and 2, we have

x > 5.75

But the value of x is an integer then x will be 6. Then

All possibilities are

[tex]6 + 6 > 11\\\\7 + 7 > 9\\\\8+8>7\\\\9+9>5\\\\10+10>3\\\\11+11>1[/tex]

Thus, the number of isosceles triangles has integer side lengths and a perimeter of 23 is 6.

More about the Isosceles triangle link is given below.

https://brainly.com/question/7915845

Answer:

x=-3/5 and y=-38/5

Step-by-step explanation:

y=6x-4  

y= x -7 substitute y=6x-4

6x-4=x-7

6x-x=-7+4

5x=-3

x=-3/5 ( substitute for x in y=6x-4)

y=6(-3/5)-4

y=-18/5-4

y=(-18-20)/5= -38/5

Answer

[tex]P= 0.144[/tex] ways

the coin can land tails either exactly 8 times or exactly 5 times in

[tex]0.144[/tex] ways

Step by step explanation:

THis is a binomial distribution

Binomial distribution gives summary of the number of trials as well as observations as each trial has the same probability of attaining one particular value.

P(9)=(14,9).(0.5)⁹.(0.5)¹⁴⁻⁹

p(3)=(14,3).(0.5)⁹.(0.5)¹⁴⁻³

p=(9)+p(3)

p=C(14,9)(0.5)¹⁴ + C(14,3). (0.5)¹⁴

P= (0.5)¹⁴ [C(14,9) + C(14,3)]

P= (0.5)¹⁴ [2002 * 364]

P= 1/16384 * (2002 +364)

P= 91091/2048

P= 0.144

Hence,the coin can land tails either exactly 8 times or exactly 5 times in

[tex] 0.144[/tex] ways

Hey there! I'm happy to help!

The words at most means that there is a maximum point that is included as a probability. This means that we will use the less than or equal sign (≤) in our inequality.

Let's write this all out as an inequality now. We will use i to represent how much the baby ate.

1,800≤2i+250  

This inequality shows that Alexandria's 1,800 calories is at most 250 more than twice those of her baby sister. Therefore, the correct option is A. 1,800≤250+2i .

Have a wonderful day!

Answer:

The correct option is A. 1,800≤250+2i.

Answer:

The answer is 5th angle = [tex]\bold{42^\circ}[/tex]

Step-by-step explanation:

Given that pizza is divided into six unequal slices.

Largest slice has an angle of [tex]90^\circ[/tex].

He eats the pizza from largest to smallest.

Let the difference in angles in each slice = [tex]d^\circ[/tex]

1st angle = [tex]90^\circ[/tex]

2nd angle = 90-d

3rd angle = 90-d-d = 90 - 2d

4th angle = 90-2d-d = 90 - 3d

5th angle = 90-3d-d = 90 - 4d

6th angle = 90-4d -d = 90 - 5d

We know that the sum of all the angles will be equal to [tex]360^\circ[/tex] (The sum of all the angles subtended at the center).

i.e.

[tex]90+90-d+90-2d+90-3d+90-4d+90-5d=360\\\Rightarrow 540 - 15d = 360\\\Rightarrow 15d = 540 -360\\\Rightarrow 15d = 180\\\Rightarrow d = 12^\circ[/tex]

So, the angles will be:

1st angle = [tex]90^\circ[/tex]

2nd angle = 90- 12 = 78

3rd angle = 78-12 = 66

4th angle = 66-12 = 54

5th angle = 54-12 = 42

6th angle = 42 -12 = 30

So, the answer is 5th angle = [tex]\bold{42^\circ}[/tex]

Answer:  D. y = (x - 3)² + 2

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y.

               y = [tex]\sqrt{x-2}[/tex] + 3

Swap:      x = [tex]\sqrt{y-2}[/tex] + 3

Solve:  x - 3 = [tex]\sqrt{y-2}[/tex]

           (x - 3)² = [tex](\sqrt{y-2})^2[/tex]

           (x - 3)² = y - 2

    (x - 3)² + 2 = y

Answer:

B

Step-by-step explanation:

Because alternate interior angles are congruent in parallel lines, the angle next to the 25° in the right triangle is 85 - 25 = 60° which makes the other angle in the right triangle 180 - 90 - 60 = 30°. Since they form a straight angle, we can write x + 30 + 85 = 180 → x + 115 = 180 → x = 65°.

Answer:

31 adults, 62 children, and 86 students.

Step-by-step explanation:

The seating capacity of the movie theatre = 179

Children's(c) Ticket = $5.00

Student's(s) Tickets = $7.00

Adult's(a) Tickets = $12.00

There are half as many adults as there are children.

The total ticket sales was $1284

We then solve the three resulting equations simultaneously.

c+s+a=179

c=2a

5c+7s+12a=1284

We substitute c=2a into the first and third equation

[tex]2a+s+a=179 \implies s=179-3a\\5(2a)+7s+12a=1284 \implies 22a+7s=1284[/tex]

Substitute s=179-3a into 22a+7s=1284

[tex]22a+7(179-3a)=1284\\22a+1253-21a=1284\\a=1284-1253\\a=31[/tex]

Recall:

c=2a

c=2*31

c=62

Finally:

c+s+a=179

62+s+31=179

s=179-62-31

s=86.

Therefore:

31 adults, 62 children, and 86 students attended the movie theatre.

Answer:

23

Step-by-step explanation:

since the number is relatively prime to the product of the first 20 positive numbers

It number must not have factor of (1-20)

Therefore the smallest possible number is the next prime after 20

Answer is 23

The smallest positive integer that is greater than 1 and relatively prime to the product of the first 20 positive integers is,

⇒ 23

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Since, The number is relatively prime to the product of the first 20 positive numbers means a number which must not have factor of (1 - 20).

Hence, The smallest possible number is the next prime after 20 is, 23

Therefore, The smallest positive integer that is greater than 1 and relatively prime to the product of the first 20 positive integers is,

⇒ 23

Learn more about the Greatest common factors visit:

https://brainly.com/question/219464

#SPJ2

Answer:

h = 7 degrees

Step-by-step explanation:

To find h, we know that it is positive because it increases in value, not decreases:

h = 65 - 58

h = 7

Answer:

h = 7°F

Step-by-step explanation:

58 + h = 65

h = 65 - 58

h = 7

Check:

68 + 7 = 65

Answer: 189 mg.

Step-by-step explanation:

Let x be the weight of the body( in pounds) and y be the amount of medicine( in mg).

Given: A certain medicine is given in an amount proportional to patient’s body weight.

i.e. [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Let [tex]x_1=116\ \ \ ,\ y_1=126[/tex] ,  [tex]x_2=174[/tex]

then,

[tex]\dfrac{116}{126}=\dfrac{174}{y_2}[/tex]

[tex]\Rightarrow\ y_2=\dfrac{174\times126}{116}\\\\\Rightarrow\ y_2=189[/tex]

Hence, he amount of medicine required by patient weighing 174 pounds = 189 mg.

Answer:

Option D is the correct option.

Step-by-step explanation:

Given: 3 boxes with volumes 1331 , 1331 , 729

To find : Height of stacked boxes

[tex]h {1}^{3} = 1331 = h1 = \sqrt[3]{1331} = 11[/tex]

[tex]h {2}^{3} = 1331 = h2 = \sqrt[3]{1331} = 11[/tex]

[tex]h {3}^{3} = 729 = h3 = \sqrt[3]{729} = 9[/tex]

Now,

[tex]h = h1 + h2 + h3[/tex]

[tex] = 11 + 11 + 9[/tex]

[tex] = 31[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

left, 4 units

Step-by-step explanation:

This indicates a shift to the left of 4 units. We know that it's left because the +4 is in the exponent and, it's a +4 not -4.

Answer:

option (c) 4

Step-by-step explanation:

sides opposite to equal angles are equal

so ML = MN

that is 4x = x+3

4x - x = 3

3x = 3

x= 1

ML= 4x = 4*1 = 4 units

MN = x+3= 1+3= 4 units

so answer is option (c) 4

hope this answer help you

Answer:

Step-by-step explanation:

In a pictogram, data can be arranged as follows: