MATHEMATICS HIGH SCHOOL

What is the gcf of 44j5k4 and 121j2k6

Answers

Answer 1
Answer:

Answer:

GCF of 44j5k4 and 121j2k6 is, 11j2k4

Step-by-step explanation:

The given numbers are: 44j5k4 and 121j2k6.

Greatest common Factor or GCF is the greatest factor that divides two numbers.

So, to find the GCF of two numbers:

  • List the prime factors of each number.
  • then, multiply those factors both numbers have in common.
  • If there are no common prime factors, then the GCF is 1.

Prime factors of 44j5k4 : 2 * 2 * 11 * j * 5 * k * 4.

Prime factors of 121j2k6. 11 * 11 * j * 2 * k * 2 * 3

Then, the GCF of these numbers is 11 * j*2 * k * 2  = 11j2k4
Answer 2
Answer: 11j2k4 is the answer :)

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Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9

Create a list of steps, in order, that will solve the following equation.3(x + 1)2 = 108

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- Divide both sides by 3

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PLSS HELP!!

Answers

Take a to be the first choice and so on
The order is b,f,d
Umm...I could really use up all the steps but hope it helps
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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

Answers

Answer: y = -x + 5   and    y = -x - 7     (see attached graph)

Step-by-step explanation:

y = (9)/(x + 1)

  = 9(x + 1)⁻¹

Use the product rule to find the derivative

a = 9           a' = 0

b = (x + 1)⁻¹   b' = -(x + 1)⁻²

 ab' + a'b

= 9[-(x + 1)⁻²] + 0[(x + 1)⁻¹ ]

= (-9)/((x + 1)^(2))

Set the derivative equal to the desired slope of -1 to solve for x

-1 = (-9)/((x + 1)^(2))

-(x + 1)² = -9

 (x + 1)² = 9

 √(x + 1)² = √9  

    x + 1 = +/- 3

x + 1 = 3      x + 1 = -3

     x = 2          x = -4

Plug those values into the original equation to solve for y:

y = (9)/(x + 1)

  = (9)/(2 + 1)

  = 3

(2, 3)

y = (9)/(x + 1)

  = (9)/(-4 + 1)

  = -3

(-4, -3)

Next, plug in the given slope (-1) and the coordinates above into the Point-Slope formula y - y₁ = m(x - x₁) to find the equations:

m = -1, (x₁ y₁) = (2, 3)                             m = -1, (x₁ y₁) = (-4, -3)

y - 3 = -1(x - 2)                                       y + 3 = -1(x + 4)

y - 3 = -x + 2                                          y + 3 = -x - 4

    y = -x + 5                                                y = -x - 7

Answer:

f(x)=\frac9{x+1}\n f'(x)=-\frac9{(x+1)^2}\n f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\n |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\n x_1=2\ \vee\ x_2=-4\n f(x_1)=f(2)=\frac9{2+1}=3\n f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1

A pentagon with one interior angle that measures 200 degrees is what type of polygon.

Answers

It is a Concave pentagon because it has an angle over 180 degrees. Otherwise it is a Convex pentagon.

Select the graph that represents the volume of a cube as a function of the length of an edge.

Answers

Answer:

The Graph D) is correct

Step-by-step explanation:

Let, x be length of cube and y is volume of cube

The volume of cube is given by

Volume = (\textrm{Length of one side of cube})^(3)

Such that, all the sides of cube are equal

We can write as y=x^(3)

Thus, The Graph D) is correct

(x+2) (x+3) what is the answer

Answers

the answer is x+5 that is your answer
That is your answer x+5

True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events

Answers

Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.

Total number of cards in a deck are 52. There are 4 jacks and 4 kings.

If we simply pick up a king from the deck, the probability of picking a king would be (4)/(52)

However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51

The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. Thus, the answer to this question is TRUE
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