y=f(x)=1/x. Use algebra to find a simplified rational expression for the slope of the line between (3, f(3)) and (3+h, f(3+h))?? h cannot=0. ...?

The answer I got from apex was- 106.26

Answer: C. [tex]T=15d+\frac{r}{4}+2h[/tex]

Step-by-step explanation:

Let d = days, r = raffle tickets, and h = hours.

Given: A student earns in a day = $15

Then his earning in d days =$15d

Also, he earns for each riffle = $0.25

Then his earning in for r riffles =$0.25r

And , he earns for each hour he works at the game = $2

Then his earning for h hours = $2h

Then the function he can use to calculate his earnings is given by :_

[tex]T=15d+0.25r+2h\\\\\Rightarrow\ T=15d+\frac{1}{4}r+2h[/tex]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

[tex]-2x^2+4x=-1[/tex].  Now we factor out the -2:

[tex]-2(x^2-2x)=-1[/tex].  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

[tex]-2(x^2-2x+1)=-1-2[/tex].  Simplifying gives us this:

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

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

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

From this form,

[tex]y=-a(x-h)^2+k[/tex]

you can determine the coordinates of the vertex to be (1, 3)

Answer:

(1,3)

Step-by-step explanation:

To calculate the total annual fixed expenses, we multiply the number of yearly payments by the amount of each payment for the different insurances and taxes, and then add these products together to find that the annual fixed expenses total $3,388.74.

The student has asked to calculate the total of his annual fixed expenses for life insurance, real estate taxes, health insurance, and auto insurance. To determine this, we will multiply the amount of each payment by the number of times the payment is made annually and then sum these amounts to get the total yearly expense:

Life Insurance: 4 payments of $128.25

Real Estate Taxes: 4 payments of $161.82

Health Insurance: 24 payments of $37.46

Auto Insurance: 6 payments of $221.65

Now, we calculate each:

Life Insurance: 4  imes $128.25 = $513.00

Real Estate Taxes: 4  imes $161.82 = $647.28

Health Insurance: 24  imes $37.46 = $898.56

Auto Insurance: 6  imes $221.65 = $1,329.90

Adding these amounts gives us the total annual fixed expenses:

$513.00 (Life Insurance) + $647.28 (Real Estate Taxes) + $898.56 (Health Insurance) + $1,329.90 (Auto Insurance) = $3,388.74 as the annual fixed expenses.

Answer:

Step-by-step explanation:

1. A graphing calculator or equation-solving web site can tell you the solution is (-5, -1, 0).

As is sometimes the case with multiple-choice questions, you can choose the "consensus answer".

For x, -5 appears in 3 of 4 answer choices.

For y, -1 appears in 3 of 4 answer choices.

For z, 0 appears in 3 of 4 answer choices.

Thus, the "consensus" is that the answer is (-5, -1, 0). Choosing this one to check can shorten the work of checking the answer choices.

So, by "guess and check" we have determined the solution to be (-5, -1, 0).

__

2. First of all, you can substitute the given value of z into the other two equations. Then you have ...

The first of these equations can be solved for y:

  y = 2x +9

and this can be substituted for y in the second of these equations:

  -2x +3(2x +9) -5 = -10

  4x +22 = -10

  4x = -32

  x = -8

and ...

  y = 2(-8) +9 = -7

So this solution, too, is the "consensus solution," ...

  (x, y, z) = (-8, -7, 5)

Answer:

The answer is 5.66

Step-by-step explanation:

52.063 divided by 9.2 is 5.65902173913. Then you round of to the nearest hundredth which is two decimal places to the right (so it's 5). Then you round it off one value higher since 9 is above 5. Therefore the final answer is 5.66

Answer:The first one is a Reflection

The second one is B

Step-by-step explanation:

Answer:

Option 4- Graph of g(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

Given : Graph of  [tex]g(x)=\frac{1}{x+4}-6[/tex]        

To find : How does the graph of g(x) compare to the graph of the parent function [tex]f(x)=\frac{1}{x}[/tex]

Solution :  

The graph f(x) is being translated to form the graph g(x).

In graph [tex]g(x)=\frac{1}{x+4}-6[/tex] there is

Translation of 4 unit left and 6 unit downward.

In graph f(x) if we shift the graph with 4 unit left it form

f(x)→f(x+b) , the function is shifted towards left with b unit.

So, [tex]f(x)=\frac{1}{x+4}[/tex]

In graph f(x) if we shift the graph with 6 unit downward it form

f(x)→f(x)-a , the function is shifted downward with a unit.

So, [tex]f(x)=\frac{1}{x+4}-6[/tex]

Therefore, Option 4 is correct.

Graph of g(x) is shifted 4 units left and 6 units down from f(x).

The diameter of the cylinder with a volume of 175 cubic units and a height of 7 units is 5 units.

To calculate the diameter of a cylinder, we first need to find the radius using the formula for the volume of a cylinder, V = πr²h. Given that the volume is 175 cubic units and the height is 7 units, the radius comes out to be 5 units. Since the diameter is twice the radius, the diameter of the cylinder is 5 units.