If g(x) = 4 square root of x then g(45) is

Answers

Answer 1
Answer: Hi,

So we have g(x) = 4√(x).  We're looking for g(45).  Think of it like this: whatever number is in the place of x in g(x), just place that number AS x.

Therefore, we have :
g(45) = 4√(45) ⇒ (4) × (√(45)) ⇒ (4)(3√(5)) = 12√(5).

-Hope this helps!

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Please Help me Check the image below!!!!!

Answers

Answer:

First question:

The graph of  y=(3-2x)/(2-3x) has a vertical asymptote at x =  (2)/(3)and a horizontal asymptote at y =  (2)/(3)

Second question:

The graph of equation y=(1-3x)/(2+x) has a horizontal asymptote at y = -3 ⇒ C

Step-by-step explanation:

The vertical asymptotes will occur at the values of x for which make the  denominator is equal to zero

The horizontal asymptotes will occur if:

  • Both polynomials are the same degree, divide the coefficients of the highest degree terms
  • The polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote

First question:

y=(3-2x)/(2-3x)

- To find the vertical asymptote equate the denominator by 0

   to find the value of x

∵ The denominator is 2 - 3x

∴ 2 - 3x = 0

- Add 3x to both sides

∴ 2 = 3x

- Divide both sides by 3

(2)/(3) = x

The graph has a vertical asymptote at x =  (2)/(3)

To find the horizontal asymptote look at the highest degree of x in both numerator and denominator

∵ The denominator and the numerator has the same degree of x

- Divide the coefficient of x of the numerator and denominator

∵ The coefficient of x in the numerator is -2

∵ The coefficient of x in the denominator is -3

∵ -2 ÷ -3 = (2)/(3)

The graph has a horizontal asymptote at y =  (2)/(3)

The graph of  y=(3-2x)/(2-3x) has a vertical asymptote at x =  (2)/(3) and a horizontal asymptote at y =  (2)/(3)

Second question:

The graph has a horizontal asymptote at y = -3

means the numerator and the denominator has same highest degree and the coefficient of the highest degree in the numerator divided by the coefficient of the highest degree in the denominator equal to -3

  • In all answers the numerator and the denominator have the same highest degree
  • Lets look for the coefficients of x up and down to find which one gives quotient of -3

∵ In answer A the quotient is 1 because x up and down have

  coefficient 1

∵ In answer B the quotient is -(1)/(3) because the coefficient of x

   up is 1 and down is -3

∵ In answer D the quotient is -1 because the coefficient of x

   up is 3 and down is -3

∵ In answer C the quotient is -3 because the coefficient of x up

   is -3 and down is 1

The graph of equation y=(1-3x)/(2+x) has a horizontal asymptote at y = -3

What is the product of 0.9 and 6?

Answers

5.4
9*6 is 54 so 0.9*6 is 5.4
5.4 is your answer hop that helps

There are 4 aces and 4 kings in a standard deck of 52 cards. You pick onecard at random. What is the probability of selecting an ace or a king. Explain your reasoning.

Answers

The odds of picking a single card out of 52 is:
1/52

The odds of picking an Ace is:

4/52 (since there are 4 aces in a single deck)

The odds of picking an ace or a king is:

8/52 (since there are 4 aces and 4 kings in a single deck, 4+4=8_

8/52 can be simplified to 2/13 

Answer=2/13

What is the 4th tearm to this?
b(n)=4−6(n−1)

Answers

Answer:

If you wish to find any term (also known as the {n^{th}}n  

th

 term) in the arithmetic sequence, the arithmetic sequence formula should help you to do so. The critical step is to be able to identify or extract known values from the problem that will eventually be substituted into the formula itself.

Step-by-step explanation:

Solve the system of linear equations by graphing, round the solution to the nearest tenth.y=-0.25x+4.7
y=4.9x-1.64
The approximate solution to the system is (____,____).

Answers

For this case we have the following system of equations:
 y = -0.25x + 4.7 y = 4.9x-1.64
 When solving the problem graphically we must take into account the following:
 1) The solution of the system of equations is given by the intersection of both functions.
 2) The solution is an ordered pair of the form (x, y)
 For this case we observe that the solution is given by:
 (x, y) = (1.23, 4.39)
 Note: see attached image.
 Answer:
 
The approximate solution to the system is (1.23, 4.39)

The approximatesolution to the system is (1.23,4.39).

what is Graphical method?

Graphical method, or Geometric method, allows solving simple linear programmingproblems intuitively and visually. This method is limited to two or three problems decision variables since it is not possible to graphically illustrate more than 3D.

For this case we have the following system of equations:

y=-0.25x+4.7

y=4.9x-1.64

The above linear system equation can be solved using graph, using

1) The solution of given system of equations can be determined  by the intersecting point of equation.

2) Then the solution will be an ordered pair, form (x, y).

Now considering the above two points, the graph is attached below:

look at the intersecting point here, the x- coordinate is 1.23 and the ycoordinate is approx. 4.40.

Hence, the approximate solution to the system is (1.23,4.39)

Learn more about graph here:

brainly.com/question/10679748

#SPJ5

If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units, how far from the center are the foci located?

Answers

Answer:

2.365 unit far away the center are the foci located.      

Step-by-step explanation:

Given : If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units.

To find : How far from the center are the foci located?

Solution :

The eccentricity of an ellipse is defined as

e=(c)/(a)

Where, e is the eccentricity

c is the distance from center to focus

a is the distance between focus to vertex.

We have given,

Eccentricity of an ellipse is 0.43 i.e. e=0.43

The distance between focus to vertex is the half of the length of its major axis.

i.e.a=(11)/(2)

Substitute in the formula,

0.43=(c)/((11)/(2))

c=0.43* (11)/(2)

c=2.365

Therefore, 2.365 unit far away the center are the foci located.