f(x) = x^3 + 3x^2

What would the graph look like?

Answer:

  16^25

Step-by-step explanation:

The applicable relation is ...

  (a^b)^c = a^(bc)

  2^100 = 16^x = (2^4)^x = 2^(4x)

Equating exponents, we have ...

  100 = 4x

  25 = x

Then 2^100 = 16^25.

I wrote this on a document in my previous years in school.

Answer:

The population was 3040 people in 8 years.

Step-by-step explanation:

find unit rate;

3800/10 = 380

380 x 8 = 3040

Answer:

Line A:  constant of proportionality is 4/3

Step-by-step explanation:

The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line.  The only line here that has a slope greater than 1 is the blue line (A).

Step-by-step explanation:

since we need to multiply only one equation with something, elimination might be a good method here. we bring both equations to 4x terms and then subtract the second from the first equation :

4x + 2y = 6

- 4x - 12y = 20

-----------------------

0 14y = -14

y = -1

=> e.g. in the second original equation

x - 3×-1 = 5

x + 3 = 5

x = 2

Answer:

Option A

Step-by-step explanation:

-(12 x 2) x (-6) = -12 x (2 x b)

=> -24 x -6 = -12 x 2b

=> 144 = -24b

=> b = -6

Hoped this helped.

Answer:

Step-by-step explanation:

Answer:

<QSR = 55°(180°-125°)

Step-by-step explanation:

therefore, p-8=55°

p=(55+8)° = 63°.

hope this helps you.

Answer: 160

Step-by-step explanation: 5% of x = 8

In other words, x * 0.05 = 8. To find what x is, we need to work backwards.

x * 0.05 = 8

x = 8/0.05

x = 160

Would appreciate a brainly <3

9514 1404 393

Answer:

  y = -1/2x +11/2

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(9 -7) = -1/2

The y-intercept is ...

  b = y -mx

  b = 2 -(-1/2)(7) = 11/2

Then the slope-intercept equation is ...

  y = -1/2x +11/2

_____

Alternative solution

A general form equation for the line can be ...

  (y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0

  (2 -1)(x -7) -(7 -9)(y -2) = 0

  x-7 +2y -4 = 0

  x +2y -11 = 0 . . . . . general form equation

  x +2y = 11 . . . . . . . standard form equation

Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.

Answer:

The answer is A. The axis of symmetry is x= -1 and the vertex is (-1,0)

Step-by-step explanation:

Answer: x=1

A. The axis of symmetry is x = −1 and the vertex is (−1, 0).

Step-by-step explanation:  graph{x^2+2x+1 [-10, 10, -5, 5]}

Explanation:

This is a quadratic equation so it makes a Parabola on a graph.

Information:

x-intercept: (1,0)

y-intercept: (0,1)

vertex: (1,0)

line of symmetry: x=1

...............................................................................................................................................

The answer is option a via completing the square

y= x^2+2x+1

y= (x+1)^2+1

so it will have an aos of -1 and a vertex of (-1,0)

...............................................................................................................................................

it will have an aos of -1 and a vertex of (-1,0)

Step-by-step explanation:

made a 100%

Answer:

All closed.

Addition, subtraction as well as multiplication of polynomials result into another polynomial. Therefore, the set of polynomials is closed under addition, subtraction and multiplication.

Open polynomial set is (x² + x - 4) - (x² + x + 8)

Closed polynomial sets are (2 - x)(1 + 3x) and (5b - 3c)(7b - 3c)

A polynomial is an expression consisting of variables and their coefficients, operations of addition, subtraction, multiplication, and positive-integer powers of variables are involved in polynomial. If the result of a polynomial set applying different operations is polynomial then it is closed under that operation.

Given, polynomial sets

(x² + x - 4) - (x² + x + 8)

Applying subtraction operation

x² + x - 4 - x² - x - 8

Subtracting like terms

-12

The result is integer, it is open polynomial set

(2 - x)(1 + 3x)

Applying multiplication operation

2 - x - x - 3x²

= 2 - 2x - 3x²

The result is polynomial, it is closed polynomial set

(5b - 3c)(7b - 3c)

Applying multiplication operation

35b² - 15bc - 21bc + 9c²

= 35b² - 36bc + 9c²

The result is polynomial, it is closed polynomial set

Hence, (x² + x - 4) - (x² + x + 8) is an open polynomial set

(2 - x)(1 + 3x) and (5b - 3c)(7b - 3c) are closed polynomial sets.

Learn more about polynomials here:

https://brainly.com/question/11536910

#SPJ2

Answer:

Possible errors: Triangle classification and definition.

Step-by-step explanation:

An isoceles triangle has at least two congruent sides of the same length.  

Given the triangle that has two equal angles, and that you'll have to prove that the triangle also has two equal sides.  

Using the Converse of Isoceles Triangle Theorem, where it states that if a triangle has two congruent angles < PQR ≅ < PRQ, for which opposite sides of those angles are congruent:  

Additionally, connecting point P to point X along the line QR such that PX ⊥ QR, divides △PQR into two symmetrical sections, where points Q and R are equidistant from point X.      

Answer:

Possible errors: Triangle classification and definition.

Answer:

x = 24°

Step-by-step explanation:

Using 180-degree formula, we can find x.

=> 84 + 4x = 180°

=> 4x = 180 - 84

=> 4x = 96

=> 24°

Therefore, x = 24°

Hoped this helped.

Answer:

[tex] {\boxed {\sf{x = 24 \degree}}}[/tex]

Step-by-step explanation:

In the given figure we have two consecutive interior angles.

We know that each pair of consecutive interior angles is supplementary.

So,

Therefore, x = 24°

Answer:2 muffins

Step-by-step explanation: First you have to see how many muffins he baked. 12x4 = 48 thus giving us the amount of muffins he baked. 48 muffins. If each student gets the same amount of muffins 48/24 = 2.

So each person would get 2 muffins.

Hope this helps :)

9514 1404 393

Answer:

  357.70

Step-by-step explanation:

The final cost will be ...

  (number of suitcases) × (cost per suitcase) × (1 +8%)

  = 2(165.60)(1.08) = 357.70

Answer:

(4) 1/4x = 3/4 (4)

1x=3

Step-by-step explanation:

3/4 x

÷ = ÷

1/4 1

(4) 1/4x = 3/4 (4)

1x=3

Answer:

x = 13

Step-by-step explanation:

Corresponding angles equal one another.

[tex]8x-20=4x+32\\4x-20=32\\4x=52\\x=13[/tex]

The amount Lucas would have in his account is $885,000.

The formula that would be used to determine the amount of money Lucas would be in 40 years is:

The formula for calculating future value = A x annuity factor  

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$2000 x [(1.1^40 - 1) / 0.1] = $885,000

To learn more about future value, please check: https://brainly.com/question/14640433

Answer:

d q knows

Step-by-step explanation:

sory need points

Answer:

  ∠AMB = 103°

Step-by-step explanation:

The sum of angles in ∆AMB is ...

  (∠A)/2 +(∠B)/2 + ∠AMB = 180°

  ∠AMB = 180° -(∠A +∠B)/2 = 180° -(58° +96°)/2

  ∠AMB = 103°

triangle JKL is congruent to triangle TRS

Answer:

m = N - f

Step-by-step explanation:

The original equation:

N = m + f

if we have to solve for m, then we have to isolate it, so subtract f from both the sides and that would be the answer.

Hope this helps!

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].

Item a:

The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].

The sample size is n for which M = 0.03, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]

[tex]n = 53.1[/tex]

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence [tex]\pi = 0.05[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]

[tex]n = 751.7[/tex]

Rounding up, a sample of 752 should be taken.

A similar problem is given at https://brainly.com/question/25694087

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )

m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]

Hello there! :)

To find the slope of the line when we are given 2 points, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]

So the slope is -6/5. Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]MysteriousNature :)[/tex]

Answer:

13 more should be purchased.

40-27=13

Answer:

x= it will be 76