If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph.

Here is my answer. I hope it is helpful.

Answer:

Answer is A and C on edge

Step-by-step explanation:

The composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.

When the two or more than two functions are written in the form of single function. Then such function is called the composite function.

Let suppose there is a function f(x) and another function g(x). Then the composite function can be given as,

[tex]f[g(x)][/tex]

The volume of air in a balloon is represented by the function,

[tex]V(r)=\dfrac{4}{3}\pi r^3[/tex]

Here, r is the radius of the balloon, in inches.

The radius of the balloon increases with time, in seconds, by the function,

[tex]r(t) = \dfrac{1}{4}t^2[/tex]

The composite function that can be used to determine the volume of the balloon after t seconds is,

[tex]V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{4}t^2)^3\\V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{64}t^6)\\V(r(t))=\dfrac{1}{48}\pi t^6[/tex]

After the 6 seconds,

[tex]V(r(6))=\dfrac{1}{48}\pi (6)^6\\V(r(6))=\dfrac{1}{48}\pi \times46656\\V(r(6))=972\pi[/tex]

Thus, the composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.

Learn more about the composite function here;

https://brainly.com/question/10687170

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Answer:

m^2+10m+21

Step-by-step explanation:

Distribute:

m times m is m^2

m times 3 is 3m

7 times m is 7m

7 times 3 is 21

=> m^2+3m+7m+21

Add 3m and 7m

=> m^2+10m+21

Thus the equation is

m^2+10m+21

Hope this helps!

(m + 7)(m + 3)

= m(m + 3) + 7(m + 3)

= m² + 3m + 7m + 21

= m² + 10m + 21

____

Hope it helps ⚜

[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]

L.H.S

[tex]\tt cos^2x \times sec^2x[/tex]

[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]

[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]

[tex]\tt 1[/tex]

R.H.S

Hence proved

Step-by-step explanation:

[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]

• Remember → 1 + tan²x = sec²x

[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]

• But sec²x → 1/cos²x

[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]

• Remember from the first identity of trignometry;

[ cos²x + sin²x = 1 ].

• Therefore: [ cos²x = 1 - sin²x ]

[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]

Hence proved.

Answer:

36°

Step-by-step explanation:

I used an online protractor to solve it

Answer : 52 boys : 26 girls

Step - by - step explanation :

Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .

26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls

52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D

Answer: 14

Step-by-step explanation: I solved the equation

Answer:

14 dollars

Step-by-step explanation:

Answer:

X=18y+5

EXPLANATION

4(X-5)/8 =9Y

(4X-20)/8 =9Y

4X-20=9Y×8

4X=72Y+20

X=(72Y+20)/4

X=18Y+5

Answer:

Skewed right center around varies from 12 to 30. Possible outliers 12, 14, 15, 16.

The distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.

The dot plot is skewed to the right because majority of the data occur to the right of the dot plot.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. Outliers usually occur with a frequency of one. Looking at the dot plot, it can be seen that the numbers that range from 12 to 16 have only one dot.

To learn more about outliers, please check: https://brainly.com/question/27197311

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Answer:

-12, -11, 4, 12

Step-by-step explanation:

A negative number is less the higher it is, and a positive number is more the higher it is

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros

• If b² - 4ac > 0 then 2 real and irrational zeros

• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• b² - 4ac < 0 then zeros are not real

Given

f(x) = 3(x - 4)² - 12 ← expand factor using FOIL

     = 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3

     = 3x² - 24x + 48 - 12

     = 3x² - 24x + 36 ← in standard form

with a = 3, b = - 24 , c = 36 , then

b² - 4ac

= (- 24)² - (4 × 3 × 36

= 576 - 432      

= 144 ← a perfect square

Then 2 zeros are real and rational  and produce 2 x- intercepts

Answer:

[tex] - 9(8 - 2h) \\ by \: distributive \: property \\ = - 9 \times 8 - ( - 9) \times ( - 2h) \\ = - 72 - 18h[/tex]

Answer:

[tex]-72+18h[/tex]

Step-by-step explanation:

[tex]-9(8-2h)[/tex]

[tex]\mathrm{Multiply}-9\:\mathrm{to\:the\:values\:in\:the\:parenthesis}[/tex]

[tex]-9(8-2h)[/tex]

[tex]-9\cdot8=-72[/tex]

[tex]-9\cdot-2=18[/tex]

[tex]=-72+18h[/tex]

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8

Answer:

30000 is mean, 25000 is median

Step-by-step explanation:

Just a logical explanation

if you have a lot  of people making 25000, then chance are you'll find that value in the middle, in assuming that the executives make a lot more

and with executives making a lot more, the mean is 30000

sources: Compare the mean and median of a data set that has a distribution that is skewed right. Answer: The mean will have a higher value than the median

Answer:

1.19 if its not that its 0.19 but i believe its 1.19.

Step-by-step explanation:

Answer:  1.19 Is 1 19/100 as a decimal

Step-by-step explanation:

Answer:

-1/2f I think

Step-by-step explanation:

distribute the -1/2

use differentiation rules

calculate all together

then simplify

Hope this helps

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60 Use dist property

Subtract 3x from both sides

-3 = 3x - 60

Add 60 to both sides

57 = 3x

Divide both sides by 3

19 = x

Answer:

785 almonds

Step-by-step explanation:

157 x 5 = 785

Answer:

Step-by-step explanation:

C is right.

5(a + b + c + d)

when you express it it's gonna be 5a + 5b + 5c + 5d

Step-by-step explanation:

Annie = x

Brianna = y

Carly = z

Now,

x + y + z = 105 ...(1)

Carly has sold ten more than three times Brianna's sales.

z = 10 + 3y ...(2)

Brianna sold five more than Annie.

y = 5 + x ...(3)

Now,

z = 10 + 3y

z = 10 + 3(5 + x)

z = 10 + 15 + 3x

z = 25 + 3x

Now,

x + y + z = 105

x + (5 + x) + 25 + 3x = 105

5x + 30 = 105

5x = 105 - 30

5x = 75

5x/5 = 75/5

x = 15

So,

y = 5 + x

y = 5 + 15

y = 20

Now,

z = 25 + 3x

z = 25 + 3(15)

z = 25 + 45

z = 70

Thus,

Annie Sold 15 boxes

Brianna Sold 20 boxes

Carly Sold 70 boxes

Answer: 3/25

Step-by-step explanation:

Answer:

thats easy B ur welcome !!!!

Answer:

The answer is B

Step-by-step explanation:

The remainder of the equation is [tex]\rm x+1[/tex].

Given that,

When the equation is [tex]x^3+1[/tex]  divided by [tex]x^2-x+1[/tex].

We have to determine,

The remainder for the equation?

According to the question,

The equation [tex]x^3+1[/tex] is divided by [tex]x^2-x+1[/tex].

On the division of the polynomial, the remainder is,

[tex]\dfrac{\rm x^3+1}{x^2-x+1}[/tex]

Factorize the equation to convert this into the simplest form,

[tex]\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)[/tex]

Now, the equation can be written as,

[tex]\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1[/tex]

Hence, The required remainder of the equation is [tex]\rm x+1[/tex].

For more details refer to the link given below.

https://brainly.com/question/25880057

Answer: a

Step-by-step explanation:

on edge

Answer:

$24.48

Step-by-step explanation:

2.99+9.99+11.50+7.99/20/10/7 = $24.48

Answer:

X= -1/3 or 4

Step-by-step explanation:

Answer:

x =-1/3 and x=4

Step-by-step explanation:

solve by factoring:

separate into two equations:

3x+1=0

8-2x=0

(when the products of factors equals zero, at least one factor is zero)

3x=-1

x=-1/3

-2x=-8

x=4

Answer:

w = [tex]\frac{a}{6}[/tex]

Step-by-step explanation:

6w= a

----   ----

6      6

w = [tex]\frac{a}{6}[/tex]

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Step-by-step explanation:

hope it will help you.....

Answer:

y= -21; m∠MNO=40°.

Step-by-step explanation:

1) m∠MON+m∠MNO=90°;

2) -3y-13°-2y-2°=90°;

5y=-105°; ⇒ y= -21;

3) m∠MNO=-2y-2°=42°-2°=40°.